-
Notifications
You must be signed in to change notification settings - Fork 2
/
Copy pathnn.functional.html
1255 lines (1061 loc) · 141 KB
/
nn.functional.html
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
660
661
662
663
664
665
666
667
668
669
670
671
672
673
674
675
676
677
678
679
680
681
682
683
684
685
686
687
688
689
690
691
692
693
694
695
696
697
698
699
700
701
702
703
704
705
706
707
708
709
710
711
712
713
714
715
716
717
718
719
720
721
722
723
724
725
726
727
728
729
730
731
732
733
734
735
736
737
738
739
740
741
742
743
744
745
746
747
748
749
750
751
752
753
754
755
756
757
758
759
760
761
762
763
764
765
766
767
768
769
770
771
772
773
774
775
776
777
778
779
780
781
782
783
784
785
786
787
788
789
790
791
792
793
794
795
796
797
798
799
800
801
802
803
804
805
806
807
808
809
810
811
812
813
814
815
816
817
818
819
820
821
822
823
824
825
826
827
828
829
830
831
832
833
834
835
836
837
838
839
840
841
842
843
844
845
846
847
848
849
850
851
852
853
854
855
856
857
858
859
860
861
862
863
864
865
866
867
868
869
870
871
872
873
874
875
876
877
878
879
880
881
882
883
884
885
886
887
888
889
890
891
892
893
894
895
896
897
898
899
900
901
902
903
904
905
906
907
908
909
910
911
912
913
914
915
916
917
918
919
920
921
922
923
924
925
926
927
928
929
930
931
932
933
934
935
936
937
938
939
940
941
942
943
944
945
946
947
948
949
950
951
952
953
954
955
956
957
958
959
960
961
962
963
964
965
966
967
968
969
970
971
972
973
974
975
976
977
978
979
980
981
982
983
984
985
986
987
988
989
990
991
992
993
994
995
996
997
998
999
1000
<!DOCTYPE html>
<!--[if IE 8]><html class="no-js lt-ie9" lang="en" > <![endif]-->
<!--[if gt IE 8]><!--> <html class="no-js" lang="en" > <!--<![endif]-->
<head>
<meta charset="utf-8">
<meta name="viewport" content="width=device-width, initial-scale=1.0">
<title>torch.nn.functional — PyTorch 2.2 documentation</title>
<link rel="canonical" href="https://pytorch.org/docs/stable/nn.functional.html"/>
<link rel="stylesheet" href="_static/css/theme.css" type="text/css" />
<!-- <link rel="stylesheet" href="_static/pygments.css" type="text/css" /> -->
<link rel="stylesheet" href="_static/pygments.css" type="text/css" />
<link rel="stylesheet" href="_static/css/theme.css" type="text/css" />
<link rel="stylesheet" href="_static/copybutton.css" type="text/css" />
<link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/katex@0.10.0-beta/dist/katex.min.css" type="text/css" />
<link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/katex@0.13.11/dist/katex.min.css" type="text/css" />
<link rel="stylesheet" href="_static/katex-math.css" type="text/css" />
<link rel="stylesheet" href="_static/sphinx-dropdown.css" type="text/css" />
<link rel="stylesheet" href="_static/panels-bootstrap.min.css" type="text/css" />
<link rel="stylesheet" href="_static/css/jit.css" type="text/css" />
<link rel="index" title="Index" href="genindex.html" />
<link rel="search" title="Search" href="search.html" />
<link rel="next" title="torch.nn.functional.conv1d" href="generated/torch.nn.functional.conv1d.html" />
<link rel="prev" title="LazyModuleMixin" href="generated/torch.nn.modules.lazy.LazyModuleMixin.html" />
<!-- Google Tag Manager -->
<script>(function(w,d,s,l,i){w[l]=w[l]||[];w[l].push({'gtm.start':
new Date().getTime(),event:'gtm.js'});var f=d.getElementsByTagName(s)[0],
j=d.createElement(s),dl=l!='dataLayer'?'&l='+l:'';j.async=true;j.src=
'https://www.googletagmanager.com/gtm.js?id='+i+dl;f.parentNode.insertBefore(j,f);
})(window,document,'script','dataLayer','GTM-T8XT4PS');</script>
<!-- End Google Tag Manager -->
<script src="_static/js/modernizr.min.js"></script>
<!-- Preload the theme fonts -->
<link rel="preload" href="_static/fonts/FreightSans/freight-sans-book.woff2" as="font" type="font/woff2" crossorigin="anonymous">
<link rel="preload" href="_static/fonts/FreightSans/freight-sans-medium.woff2" as="font" type="font/woff2" crossorigin="anonymous">
<link rel="preload" href="_static/fonts/IBMPlexMono/IBMPlexMono-Medium.woff2" as="font" type="font/woff2" crossorigin="anonymous">
<link rel="preload" href="_static/fonts/FreightSans/freight-sans-bold.woff2" as="font" type="font/woff2" crossorigin="anonymous">
<link rel="preload" href="_static/fonts/FreightSans/freight-sans-medium-italic.woff2" as="font" type="font/woff2" crossorigin="anonymous">
<link rel="preload" href="_static/fonts/IBMPlexMono/IBMPlexMono-SemiBold.woff2" as="font" type="font/woff2" crossorigin="anonymous">
<!-- Preload the katex fonts -->
<link rel="preload" href="https://cdn.jsdelivr.net/npm/katex@0.10.0/dist/fonts/KaTeX_Math-Italic.woff2" as="font" type="font/woff2" crossorigin="anonymous">
<link rel="preload" href="https://cdn.jsdelivr.net/npm/katex@0.10.0/dist/fonts/KaTeX_Main-Regular.woff2" as="font" type="font/woff2" crossorigin="anonymous">
<link rel="preload" href="https://cdn.jsdelivr.net/npm/katex@0.10.0/dist/fonts/KaTeX_Main-Bold.woff2" as="font" type="font/woff2" crossorigin="anonymous">
<link rel="preload" href="https://cdn.jsdelivr.net/npm/katex@0.10.0/dist/fonts/KaTeX_Size1-Regular.woff2" as="font" type="font/woff2" crossorigin="anonymous">
<link rel="preload" href="https://cdn.jsdelivr.net/npm/katex@0.10.0/dist/fonts/KaTeX_Size4-Regular.woff2" as="font" type="font/woff2" crossorigin="anonymous">
<link rel="preload" href="https://cdn.jsdelivr.net/npm/katex@0.10.0/dist/fonts/KaTeX_Size2-Regular.woff2" as="font" type="font/woff2" crossorigin="anonymous">
<link rel="preload" href="https://cdn.jsdelivr.net/npm/katex@0.10.0/dist/fonts/KaTeX_Size3-Regular.woff2" as="font" type="font/woff2" crossorigin="anonymous">
<link rel="preload" href="https://cdn.jsdelivr.net/npm/katex@0.10.0/dist/fonts/KaTeX_Caligraphic-Regular.woff2" as="font" type="font/woff2" crossorigin="anonymous">
<link rel="stylesheet" href="https://use.fontawesome.com/releases/v5.15.2/css/all.css" integrity="sha384-vSIIfh2YWi9wW0r9iZe7RJPrKwp6bG+s9QZMoITbCckVJqGCCRhc+ccxNcdpHuYu" crossorigin="anonymous">
</head>
<div class="container-fluid header-holder tutorials-header" id="header-holder">
<div class="container">
<div class="header-container">
<a class="header-logo" href="https://pytorch.org/" aria-label="PyTorch"></a>
<div class="main-menu">
<ul>
<li>
<a href="https://pytorch.org/get-started">Get Started</a>
</li>
<li>
<a href="https://pytorch.org/ecosystem">Ecosystem</a>
</li>
<li>
<div id="resourcesDropdownButton" data-toggle="resources-dropdown" class="resources-dropdown">
<a class="resource-option with-down-arrow">
Edge
</a>
<div class="resources-dropdown-menu">
<a class="nav-dropdown-item" href="https://pytorch.org/edge">
<span class="dropdown-title">About PyTorch Edge</span>
</a>
<a class="nav-dropdown-item" href="https://pytorch.org/executorch">
<span class="dropdown-title">ExecuTorch</span>
</a>
</div>
</div>
</li>
<li>
<a href="https://pytorch.org/blog/">Blog</a>
</li>
<li>
<a href="https://pytorch.org/tutorials">Tutorials</a>
</li>
<li class="active docs-active">
<div id="resourcesDropdownButton" data-toggle="resources-dropdown" class="resources-dropdown">
<a class="resource-option with-down-orange-arrow">
Docs
</a>
<div class="resources-dropdown-menu">
<a class="doc-dropdown-option nav-dropdown-item" href="https://pytorch.org/docs/stable/index.html">
<span class="dropdown-title">PyTorch</span>
<p></p>
</a>
<a class="doc-dropdown-option nav-dropdown-item" href="https://pytorch.org/audio/stable/index.html">
<span class="dropdown-title">torchaudio</span>
<p></p>
</a>
<a class="doc-dropdown-option nav-dropdown-item" href="https://pytorch.org/text/stable/index.html">
<span class="dropdown-title">torchtext</span>
<p></p>
</a>
<a class="doc-dropdown-option nav-dropdown-item" href="https://pytorch.org/vision/stable/index.html">
<span class="dropdown-title">torchvision</span>
<p></p>
</a>
<a class="doc-dropdown-option nav-dropdown-item" href="https://pytorch.org/torcharrow">
<span class="dropdown-title">torcharrow</span>
<p></p>
</a>
<a class="doc-dropdown-option nav-dropdown-item" href="https://pytorch.org/data">
<span class="dropdown-title">TorchData</span>
<p></p>
</a>
<a class="doc-dropdown-option nav-dropdown-item" href="https://pytorch.org/torchrec">
<span class="dropdown-title">TorchRec</span>
<p></p>
</a>
<a class="doc-dropdown-option nav-dropdown-item" href="https://pytorch.org/serve/">
<span class="dropdown-title">TorchServe</span>
<p></p>
</a>
<a class="doc-dropdown-option nav-dropdown-item" href="https://pytorch.org/torchx/">
<span class="dropdown-title">TorchX</span>
<p></p>
</a>
<a class="doc-dropdown-option nav-dropdown-item" href="https://pytorch.org/xla">
<span class="dropdown-title">PyTorch on XLA Devices</span>
<p></p>
</a>
</div>
</li>
<li>
<div id="resourcesDropdownButton" data-toggle="resources-dropdown" class="resources-dropdown">
<a class="resource-option with-down-arrow">
Resources
</a>
<div class="resources-dropdown-menu">
<a class="nav-dropdown-item" href="https://pytorch.org/features">
<span class="dropdown-title">About</span>
<p>Learn about PyTorch’s features and capabilities</p>
</a>
<a class="nav-dropdown-item" href="https://pytorch.org/foundation">
<span class="dropdown-title">PyTorch Foundation</span>
<p>Learn about the PyTorch foundation</p>
</a>
<a class="nav-dropdown-item" href="https://pytorch.org/#community-module">
<span class="dropdown-title">Community</span>
<p>Join the PyTorch developer community to contribute, learn, and get your questions answered.</p>
</a>
<a class="nav-dropdown-item" href="https://pytorch.org/community-stories">
<span class="dropdown-title">Community Stories</span>
<p>Learn how our community solves real, everyday machine learning problems with PyTorch.</p>
</a>
<a class="nav-dropdown-item" href="https://pytorch.org/resources">
<span class="dropdown-title">Developer Resources</span>
<p>Find resources and get questions answered</p>
</a>
<a class="nav-dropdown-item" href="https://pytorch.org/events">
<span class="dropdown-title">Events</span>
<p>Find events, webinars, and podcasts</p>
</a>
<a class="nav-dropdown-item" href="https://discuss.pytorch.org/" target="_blank">
<span class="dropdown-title">Forums</span>
<p>A place to discuss PyTorch code, issues, install, research</p>
</a>
<a class="nav-dropdown-item" href="https://pytorch.org/hub">
<span class="dropdown-title">Models (Beta)</span>
<p>Discover, publish, and reuse pre-trained models</p>
</a>
</div>
</div>
</li>
<li>
<a href="https://github.com/pytorch/pytorch">GitHub</a>
</li>
</ul>
</div>
<a class="main-menu-open-button" href="#" data-behavior="open-mobile-menu"></a>
</div>
</div>
</div>
<body class="pytorch-body">
<div class="table-of-contents-link-wrapper">
<span>Table of Contents</span>
<a href="#" class="toggle-table-of-contents" data-behavior="toggle-table-of-contents"></a>
</div>
<nav data-toggle="wy-nav-shift" class="pytorch-left-menu" id="pytorch-left-menu">
<div class="pytorch-side-scroll">
<div class="pytorch-menu pytorch-menu-vertical" data-spy="affix" role="navigation" aria-label="main navigation">
<div class="pytorch-left-menu-search">
<div class="version">
<a href='https://pytorch.org/docs/versions.html'>2.2 ▼</a>
</div>
<div role="search">
<form id="rtd-search-form" class="wy-form" action="search.html" method="get">
<input type="text" name="q" placeholder="Search Docs" />
<input type="hidden" name="check_keywords" value="yes" />
<input type="hidden" name="area" value="default" />
</form>
</div>
</div>
<p class="caption" role="heading"><span class="caption-text">Community</span></p>
<ul>
<li class="toctree-l1"><a class="reference internal" href="community/build_ci_governance.html">PyTorch Governance | Build + CI</a></li>
<li class="toctree-l1"><a class="reference internal" href="community/contribution_guide.html">PyTorch Contribution Guide</a></li>
<li class="toctree-l1"><a class="reference internal" href="community/design.html">PyTorch Design Philosophy</a></li>
<li class="toctree-l1"><a class="reference internal" href="community/governance.html">PyTorch Governance | Mechanics</a></li>
<li class="toctree-l1"><a class="reference internal" href="community/persons_of_interest.html">PyTorch Governance | Maintainers</a></li>
</ul>
<p class="caption" role="heading"><span class="caption-text">Developer Notes</span></p>
<ul>
<li class="toctree-l1"><a class="reference internal" href="notes/amp_examples.html">CUDA Automatic Mixed Precision examples</a></li>
<li class="toctree-l1"><a class="reference internal" href="notes/autograd.html">Autograd mechanics</a></li>
<li class="toctree-l1"><a class="reference internal" href="notes/broadcasting.html">Broadcasting semantics</a></li>
<li class="toctree-l1"><a class="reference internal" href="notes/cpu_threading_torchscript_inference.html">CPU threading and TorchScript inference</a></li>
<li class="toctree-l1"><a class="reference internal" href="notes/cuda.html">CUDA semantics</a></li>
<li class="toctree-l1"><a class="reference internal" href="notes/ddp.html">Distributed Data Parallel</a></li>
<li class="toctree-l1"><a class="reference internal" href="notes/extending.html">Extending PyTorch</a></li>
<li class="toctree-l1"><a class="reference internal" href="notes/extending.func.html">Extending torch.func with autograd.Function</a></li>
<li class="toctree-l1"><a class="reference internal" href="notes/faq.html">Frequently Asked Questions</a></li>
<li class="toctree-l1"><a class="reference internal" href="notes/gradcheck.html">Gradcheck mechanics</a></li>
<li class="toctree-l1"><a class="reference internal" href="notes/hip.html">HIP (ROCm) semantics</a></li>
<li class="toctree-l1"><a class="reference internal" href="notes/large_scale_deployments.html">Features for large-scale deployments</a></li>
<li class="toctree-l1"><a class="reference internal" href="notes/modules.html">Modules</a></li>
<li class="toctree-l1"><a class="reference internal" href="notes/mps.html">MPS backend</a></li>
<li class="toctree-l1"><a class="reference internal" href="notes/multiprocessing.html">Multiprocessing best practices</a></li>
<li class="toctree-l1"><a class="reference internal" href="notes/numerical_accuracy.html">Numerical accuracy</a></li>
<li class="toctree-l1"><a class="reference internal" href="notes/randomness.html">Reproducibility</a></li>
<li class="toctree-l1"><a class="reference internal" href="notes/serialization.html">Serialization semantics</a></li>
<li class="toctree-l1"><a class="reference internal" href="notes/windows.html">Windows FAQ</a></li>
</ul>
<p class="caption" role="heading"><span class="caption-text">Language Bindings</span></p>
<ul>
<li class="toctree-l1"><a class="reference internal" href="cpp_index.html">C++</a></li>
<li class="toctree-l1"><a class="reference external" href="https://pytorch.org/javadoc/">Javadoc</a></li>
<li class="toctree-l1"><a class="reference internal" href="deploy.html">torch::deploy</a></li>
</ul>
<p class="caption" role="heading"><span class="caption-text">Python API</span></p>
<ul class="current">
<li class="toctree-l1"><a class="reference internal" href="torch.html">torch</a></li>
<li class="toctree-l1"><a class="reference internal" href="nn.html">torch.nn</a></li>
<li class="toctree-l1 current"><a class="current reference internal" href="#">torch.nn.functional</a></li>
<li class="toctree-l1"><a class="reference internal" href="tensors.html">torch.Tensor</a></li>
<li class="toctree-l1"><a class="reference internal" href="tensor_attributes.html">Tensor Attributes</a></li>
<li class="toctree-l1"><a class="reference internal" href="tensor_view.html">Tensor Views</a></li>
<li class="toctree-l1"><a class="reference internal" href="amp.html">torch.amp</a></li>
<li class="toctree-l1"><a class="reference internal" href="autograd.html">torch.autograd</a></li>
<li class="toctree-l1"><a class="reference internal" href="library.html">torch.library</a></li>
<li class="toctree-l1"><a class="reference internal" href="cpu.html">torch.cpu</a></li>
<li class="toctree-l1"><a class="reference internal" href="cuda.html">torch.cuda</a></li>
<li class="toctree-l1"><a class="reference internal" href="torch_cuda_memory.html">Understanding CUDA Memory Usage</a></li>
<li class="toctree-l1"><a class="reference internal" href="torch_cuda_memory.html#generating-a-snapshot">Generating a Snapshot</a></li>
<li class="toctree-l1"><a class="reference internal" href="torch_cuda_memory.html#using-the-visualizer">Using the visualizer</a></li>
<li class="toctree-l1"><a class="reference internal" href="torch_cuda_memory.html#snapshot-api-reference">Snapshot API Reference</a></li>
<li class="toctree-l1"><a class="reference internal" href="mps.html">torch.mps</a></li>
<li class="toctree-l1"><a class="reference internal" href="backends.html">torch.backends</a></li>
<li class="toctree-l1"><a class="reference internal" href="export.html">torch.export</a></li>
<li class="toctree-l1"><a class="reference internal" href="distributed.html">torch.distributed</a></li>
<li class="toctree-l1"><a class="reference internal" href="distributed.algorithms.join.html">torch.distributed.algorithms.join</a></li>
<li class="toctree-l1"><a class="reference internal" href="distributed.elastic.html">torch.distributed.elastic</a></li>
<li class="toctree-l1"><a class="reference internal" href="fsdp.html">torch.distributed.fsdp</a></li>
<li class="toctree-l1"><a class="reference internal" href="distributed.optim.html">torch.distributed.optim</a></li>
<li class="toctree-l1"><a class="reference internal" href="distributed.tensor.parallel.html">torch.distributed.tensor.parallel</a></li>
<li class="toctree-l1"><a class="reference internal" href="distributed.checkpoint.html">torch.distributed.checkpoint</a></li>
<li class="toctree-l1"><a class="reference internal" href="distributions.html">torch.distributions</a></li>
<li class="toctree-l1"><a class="reference internal" href="torch.compiler.html">torch.compiler</a></li>
<li class="toctree-l1"><a class="reference internal" href="fft.html">torch.fft</a></li>
<li class="toctree-l1"><a class="reference internal" href="func.html">torch.func</a></li>
<li class="toctree-l1"><a class="reference internal" href="futures.html">torch.futures</a></li>
<li class="toctree-l1"><a class="reference internal" href="fx.html">torch.fx</a></li>
<li class="toctree-l1"><a class="reference internal" href="hub.html">torch.hub</a></li>
<li class="toctree-l1"><a class="reference internal" href="jit.html">torch.jit</a></li>
<li class="toctree-l1"><a class="reference internal" href="linalg.html">torch.linalg</a></li>
<li class="toctree-l1"><a class="reference internal" href="monitor.html">torch.monitor</a></li>
<li class="toctree-l1"><a class="reference internal" href="signal.html">torch.signal</a></li>
<li class="toctree-l1"><a class="reference internal" href="special.html">torch.special</a></li>
<li class="toctree-l1"><a class="reference internal" href="torch.overrides.html">torch.overrides</a></li>
<li class="toctree-l1"><a class="reference internal" href="package.html">torch.package</a></li>
<li class="toctree-l1"><a class="reference internal" href="profiler.html">torch.profiler</a></li>
<li class="toctree-l1"><a class="reference internal" href="nn.init.html">torch.nn.init</a></li>
<li class="toctree-l1"><a class="reference internal" href="onnx.html">torch.onnx</a></li>
<li class="toctree-l1"><a class="reference internal" href="optim.html">torch.optim</a></li>
<li class="toctree-l1"><a class="reference internal" href="complex_numbers.html">Complex Numbers</a></li>
<li class="toctree-l1"><a class="reference internal" href="ddp_comm_hooks.html">DDP Communication Hooks</a></li>
<li class="toctree-l1"><a class="reference internal" href="pipeline.html">Pipeline Parallelism</a></li>
<li class="toctree-l1"><a class="reference internal" href="quantization.html">Quantization</a></li>
<li class="toctree-l1"><a class="reference internal" href="rpc.html">Distributed RPC Framework</a></li>
<li class="toctree-l1"><a class="reference internal" href="random.html">torch.random</a></li>
<li class="toctree-l1"><a class="reference internal" href="masked.html">torch.masked</a></li>
<li class="toctree-l1"><a class="reference internal" href="nested.html">torch.nested</a></li>
<li class="toctree-l1"><a class="reference internal" href="sparse.html">torch.sparse</a></li>
<li class="toctree-l1"><a class="reference internal" href="storage.html">torch.Storage</a></li>
<li class="toctree-l1"><a class="reference internal" href="testing.html">torch.testing</a></li>
<li class="toctree-l1"><a class="reference internal" href="utils.html">torch.utils</a></li>
<li class="toctree-l1"><a class="reference internal" href="benchmark_utils.html">torch.utils.benchmark</a></li>
<li class="toctree-l1"><a class="reference internal" href="bottleneck.html">torch.utils.bottleneck</a></li>
<li class="toctree-l1"><a class="reference internal" href="checkpoint.html">torch.utils.checkpoint</a></li>
<li class="toctree-l1"><a class="reference internal" href="cpp_extension.html">torch.utils.cpp_extension</a></li>
<li class="toctree-l1"><a class="reference internal" href="data.html">torch.utils.data</a></li>
<li class="toctree-l1"><a class="reference internal" href="deterministic.html">torch.utils.deterministic</a></li>
<li class="toctree-l1"><a class="reference internal" href="jit_utils.html">torch.utils.jit</a></li>
<li class="toctree-l1"><a class="reference internal" href="dlpack.html">torch.utils.dlpack</a></li>
<li class="toctree-l1"><a class="reference internal" href="mobile_optimizer.html">torch.utils.mobile_optimizer</a></li>
<li class="toctree-l1"><a class="reference internal" href="model_zoo.html">torch.utils.model_zoo</a></li>
<li class="toctree-l1"><a class="reference internal" href="tensorboard.html">torch.utils.tensorboard</a></li>
<li class="toctree-l1"><a class="reference internal" href="type_info.html">Type Info</a></li>
<li class="toctree-l1"><a class="reference internal" href="named_tensor.html">Named Tensors</a></li>
<li class="toctree-l1"><a class="reference internal" href="name_inference.html">Named Tensors operator coverage</a></li>
<li class="toctree-l1"><a class="reference internal" href="config_mod.html">torch.__config__</a></li>
<li class="toctree-l1"><a class="reference internal" href="logging.html">torch._logging</a></li>
</ul>
<p class="caption" role="heading"><span class="caption-text">Libraries</span></p>
<ul>
<li class="toctree-l1"><a class="reference external" href="https://pytorch.org/audio/stable">torchaudio</a></li>
<li class="toctree-l1"><a class="reference external" href="https://pytorch.org/data">TorchData</a></li>
<li class="toctree-l1"><a class="reference external" href="https://pytorch.org/torchrec">TorchRec</a></li>
<li class="toctree-l1"><a class="reference external" href="https://pytorch.org/serve">TorchServe</a></li>
<li class="toctree-l1"><a class="reference external" href="https://pytorch.org/text/stable">torchtext</a></li>
<li class="toctree-l1"><a class="reference external" href="https://pytorch.org/vision/stable">torchvision</a></li>
<li class="toctree-l1"><a class="reference external" href="https://pytorch.org/xla/">PyTorch on XLA Devices</a></li>
</ul>
</div>
</div>
</nav>
<div class="pytorch-container">
<div class="pytorch-page-level-bar" id="pytorch-page-level-bar">
<div class="pytorch-breadcrumbs-wrapper">
<div role="navigation" aria-label="breadcrumbs navigation">
<ul class="pytorch-breadcrumbs">
<li>
<a href="index.html">
Docs
</a> >
</li>
<li>torch.nn.functional</li>
<li class="pytorch-breadcrumbs-aside">
<a href="_sources/nn.functional.rst.txt" rel="nofollow"><img src="_static/images/view-page-source-icon.svg"></a>
</li>
</ul>
</div>
</div>
<div class="pytorch-shortcuts-wrapper" id="pytorch-shortcuts-wrapper">
Shortcuts
</div>
</div>
<section data-toggle="wy-nav-shift" id="pytorch-content-wrap" class="pytorch-content-wrap">
<div class="pytorch-content-left">
<!-- Google Tag Manager (noscript) -->
<noscript><iframe src="https://www.googletagmanager.com/ns.html?id=GTM-T8XT4PS"
height="0" width="0" style="display:none;visibility:hidden"></iframe></noscript>
<!-- End Google Tag Manager (noscript) -->
<div class="rst-content">
<div role="main" class="main-content" itemscope="itemscope" itemtype="http://schema.org/Article">
<article itemprop="articleBody" id="pytorch-article" class="pytorch-article">
<div class="section" id="torch-nn-functional">
<h1>torch.nn.functional<a class="headerlink" href="#torch-nn-functional" title="Permalink to this heading">¶</a></h1>
<div class="section" id="convolution-functions">
<h2>Convolution functions<a class="headerlink" href="#convolution-functions" title="Permalink to this heading">¶</a></h2>
<table class="autosummary longtable docutils colwidths-auto align-default">
<tbody>
<tr class="row-odd"><td><p><p id="torch.nn.functional.conv1d"/><a class="reference internal" href="generated/torch.nn.functional.conv1d.html#torch.nn.functional.conv1d" title="torch.nn.functional.conv1d"><code class="xref py py-obj docutils literal notranslate"><span class="pre">conv1d</span></code></a></p></td>
<td><p>Applies a 1D convolution over an input signal composed of several input planes.</p></td>
</tr>
<tr class="row-even"><td><p><p id="torch.nn.functional.conv2d"/><a class="reference internal" href="generated/torch.nn.functional.conv2d.html#torch.nn.functional.conv2d" title="torch.nn.functional.conv2d"><code class="xref py py-obj docutils literal notranslate"><span class="pre">conv2d</span></code></a></p></td>
<td><p>Applies a 2D convolution over an input image composed of several input planes.</p></td>
</tr>
<tr class="row-odd"><td><p><p id="torch.nn.functional.conv3d"/><a class="reference internal" href="generated/torch.nn.functional.conv3d.html#torch.nn.functional.conv3d" title="torch.nn.functional.conv3d"><code class="xref py py-obj docutils literal notranslate"><span class="pre">conv3d</span></code></a></p></td>
<td><p>Applies a 3D convolution over an input image composed of several input planes.</p></td>
</tr>
<tr class="row-even"><td><p><p id="torch.nn.functional.conv_transpose1d"/><a class="reference internal" href="generated/torch.nn.functional.conv_transpose1d.html#torch.nn.functional.conv_transpose1d" title="torch.nn.functional.conv_transpose1d"><code class="xref py py-obj docutils literal notranslate"><span class="pre">conv_transpose1d</span></code></a></p></td>
<td><p>Applies a 1D transposed convolution operator over an input signal composed of several input planes, sometimes also called "deconvolution".</p></td>
</tr>
<tr class="row-odd"><td><p><p id="torch.nn.functional.conv_transpose2d"/><a class="reference internal" href="generated/torch.nn.functional.conv_transpose2d.html#torch.nn.functional.conv_transpose2d" title="torch.nn.functional.conv_transpose2d"><code class="xref py py-obj docutils literal notranslate"><span class="pre">conv_transpose2d</span></code></a></p></td>
<td><p>Applies a 2D transposed convolution operator over an input image composed of several input planes, sometimes also called "deconvolution".</p></td>
</tr>
<tr class="row-even"><td><p><p id="torch.nn.functional.conv_transpose3d"/><a class="reference internal" href="generated/torch.nn.functional.conv_transpose3d.html#torch.nn.functional.conv_transpose3d" title="torch.nn.functional.conv_transpose3d"><code class="xref py py-obj docutils literal notranslate"><span class="pre">conv_transpose3d</span></code></a></p></td>
<td><p>Applies a 3D transposed convolution operator over an input image composed of several input planes, sometimes also called "deconvolution"</p></td>
</tr>
<tr class="row-odd"><td><p><p id="torch.nn.functional.unfold"/><a class="reference internal" href="generated/torch.nn.functional.unfold.html#torch.nn.functional.unfold" title="torch.nn.functional.unfold"><code class="xref py py-obj docutils literal notranslate"><span class="pre">unfold</span></code></a></p></td>
<td><p>Extract sliding local blocks from a batched input tensor.</p></td>
</tr>
<tr class="row-even"><td><p><p id="torch.nn.functional.fold"/><a class="reference internal" href="generated/torch.nn.functional.fold.html#torch.nn.functional.fold" title="torch.nn.functional.fold"><code class="xref py py-obj docutils literal notranslate"><span class="pre">fold</span></code></a></p></td>
<td><p>Combine an array of sliding local blocks into a large containing tensor.</p></td>
</tr>
</tbody>
</table>
</div>
<div class="section" id="pooling-functions">
<h2>Pooling functions<a class="headerlink" href="#pooling-functions" title="Permalink to this heading">¶</a></h2>
<table class="autosummary longtable docutils colwidths-auto align-default">
<tbody>
<tr class="row-odd"><td><p><p id="torch.nn.functional.avg_pool1d"/><a class="reference internal" href="generated/torch.nn.functional.avg_pool1d.html#torch.nn.functional.avg_pool1d" title="torch.nn.functional.avg_pool1d"><code class="xref py py-obj docutils literal notranslate"><span class="pre">avg_pool1d</span></code></a></p></td>
<td><p>Applies a 1D average pooling over an input signal composed of several input planes.</p></td>
</tr>
<tr class="row-even"><td><p><p id="torch.nn.functional.avg_pool2d"/><a class="reference internal" href="generated/torch.nn.functional.avg_pool2d.html#torch.nn.functional.avg_pool2d" title="torch.nn.functional.avg_pool2d"><code class="xref py py-obj docutils literal notranslate"><span class="pre">avg_pool2d</span></code></a></p></td>
<td><p>Applies 2D average-pooling operation in <span class="math"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mi>k</mi><mi>H</mi><mo>×</mo><mi>k</mi><mi>W</mi></mrow><annotation encoding="application/x-tex">kH \times kW</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.7778em;vertical-align:-0.0833em;"></span><span class="mord mathnormal" style="margin-right:0.03148em;">k</span><span class="mord mathnormal" style="margin-right:0.08125em;">H</span><span class="mspace" style="margin-right:0.2222em;"></span><span class="mbin">×</span><span class="mspace" style="margin-right:0.2222em;"></span></span><span class="base"><span class="strut" style="height:0.6944em;"></span><span class="mord mathnormal" style="margin-right:0.13889em;">kW</span></span></span></span></span> regions by step size <span class="math"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mi>s</mi><mi>H</mi><mo>×</mo><mi>s</mi><mi>W</mi></mrow><annotation encoding="application/x-tex">sH \times sW</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.7667em;vertical-align:-0.0833em;"></span><span class="mord mathnormal" style="margin-right:0.08125em;">sH</span><span class="mspace" style="margin-right:0.2222em;"></span><span class="mbin">×</span><span class="mspace" style="margin-right:0.2222em;"></span></span><span class="base"><span class="strut" style="height:0.6833em;"></span><span class="mord mathnormal">s</span><span class="mord mathnormal" style="margin-right:0.13889em;">W</span></span></span></span></span> steps.</p></td>
</tr>
<tr class="row-odd"><td><p><p id="torch.nn.functional.avg_pool3d"/><a class="reference internal" href="generated/torch.nn.functional.avg_pool3d.html#torch.nn.functional.avg_pool3d" title="torch.nn.functional.avg_pool3d"><code class="xref py py-obj docutils literal notranslate"><span class="pre">avg_pool3d</span></code></a></p></td>
<td><p>Applies 3D average-pooling operation in <span class="math"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mi>k</mi><mi>T</mi><mo>×</mo><mi>k</mi><mi>H</mi><mo>×</mo><mi>k</mi><mi>W</mi></mrow><annotation encoding="application/x-tex">kT \times kH \times kW</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.7778em;vertical-align:-0.0833em;"></span><span class="mord mathnormal" style="margin-right:0.03148em;">k</span><span class="mord mathnormal" style="margin-right:0.13889em;">T</span><span class="mspace" style="margin-right:0.2222em;"></span><span class="mbin">×</span><span class="mspace" style="margin-right:0.2222em;"></span></span><span class="base"><span class="strut" style="height:0.7778em;vertical-align:-0.0833em;"></span><span class="mord mathnormal" style="margin-right:0.03148em;">k</span><span class="mord mathnormal" style="margin-right:0.08125em;">H</span><span class="mspace" style="margin-right:0.2222em;"></span><span class="mbin">×</span><span class="mspace" style="margin-right:0.2222em;"></span></span><span class="base"><span class="strut" style="height:0.6944em;"></span><span class="mord mathnormal" style="margin-right:0.13889em;">kW</span></span></span></span></span> regions by step size <span class="math"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mi>s</mi><mi>T</mi><mo>×</mo><mi>s</mi><mi>H</mi><mo>×</mo><mi>s</mi><mi>W</mi></mrow><annotation encoding="application/x-tex">sT \times sH \times sW</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.7667em;vertical-align:-0.0833em;"></span><span class="mord mathnormal">s</span><span class="mord mathnormal" style="margin-right:0.13889em;">T</span><span class="mspace" style="margin-right:0.2222em;"></span><span class="mbin">×</span><span class="mspace" style="margin-right:0.2222em;"></span></span><span class="base"><span class="strut" style="height:0.7667em;vertical-align:-0.0833em;"></span><span class="mord mathnormal" style="margin-right:0.08125em;">sH</span><span class="mspace" style="margin-right:0.2222em;"></span><span class="mbin">×</span><span class="mspace" style="margin-right:0.2222em;"></span></span><span class="base"><span class="strut" style="height:0.6833em;"></span><span class="mord mathnormal">s</span><span class="mord mathnormal" style="margin-right:0.13889em;">W</span></span></span></span></span> steps.</p></td>
</tr>
<tr class="row-even"><td><p><p id="torch.nn.functional.max_pool1d"/><a class="reference internal" href="generated/torch.nn.functional.max_pool1d.html#torch.nn.functional.max_pool1d" title="torch.nn.functional.max_pool1d"><code class="xref py py-obj docutils literal notranslate"><span class="pre">max_pool1d</span></code></a></p></td>
<td><p>Applies a 1D max pooling over an input signal composed of several input planes.</p></td>
</tr>
<tr class="row-odd"><td><p><p id="torch.nn.functional.max_pool2d"/><a class="reference internal" href="generated/torch.nn.functional.max_pool2d.html#torch.nn.functional.max_pool2d" title="torch.nn.functional.max_pool2d"><code class="xref py py-obj docutils literal notranslate"><span class="pre">max_pool2d</span></code></a></p></td>
<td><p>Applies a 2D max pooling over an input signal composed of several input planes.</p></td>
</tr>
<tr class="row-even"><td><p><p id="torch.nn.functional.max_pool3d"/><a class="reference internal" href="generated/torch.nn.functional.max_pool3d.html#torch.nn.functional.max_pool3d" title="torch.nn.functional.max_pool3d"><code class="xref py py-obj docutils literal notranslate"><span class="pre">max_pool3d</span></code></a></p></td>
<td><p>Applies a 3D max pooling over an input signal composed of several input planes.</p></td>
</tr>
<tr class="row-odd"><td><p><p id="torch.nn.functional.max_unpool1d"/><a class="reference internal" href="generated/torch.nn.functional.max_unpool1d.html#torch.nn.functional.max_unpool1d" title="torch.nn.functional.max_unpool1d"><code class="xref py py-obj docutils literal notranslate"><span class="pre">max_unpool1d</span></code></a></p></td>
<td><p>Compute a partial inverse of <code class="xref py py-class docutils literal notranslate"><span class="pre">MaxPool1d</span></code>.</p></td>
</tr>
<tr class="row-even"><td><p><p id="torch.nn.functional.max_unpool2d"/><a class="reference internal" href="generated/torch.nn.functional.max_unpool2d.html#torch.nn.functional.max_unpool2d" title="torch.nn.functional.max_unpool2d"><code class="xref py py-obj docutils literal notranslate"><span class="pre">max_unpool2d</span></code></a></p></td>
<td><p>Compute a partial inverse of <code class="xref py py-class docutils literal notranslate"><span class="pre">MaxPool2d</span></code>.</p></td>
</tr>
<tr class="row-odd"><td><p><p id="torch.nn.functional.max_unpool3d"/><a class="reference internal" href="generated/torch.nn.functional.max_unpool3d.html#torch.nn.functional.max_unpool3d" title="torch.nn.functional.max_unpool3d"><code class="xref py py-obj docutils literal notranslate"><span class="pre">max_unpool3d</span></code></a></p></td>
<td><p>Compute a partial inverse of <code class="xref py py-class docutils literal notranslate"><span class="pre">MaxPool3d</span></code>.</p></td>
</tr>
<tr class="row-even"><td><p><p id="torch.nn.functional.lp_pool1d"/><a class="reference internal" href="generated/torch.nn.functional.lp_pool1d.html#torch.nn.functional.lp_pool1d" title="torch.nn.functional.lp_pool1d"><code class="xref py py-obj docutils literal notranslate"><span class="pre">lp_pool1d</span></code></a></p></td>
<td><p>Apply a 1D power-average pooling over an input signal composed of several input planes.</p></td>
</tr>
<tr class="row-odd"><td><p><p id="torch.nn.functional.lp_pool2d"/><a class="reference internal" href="generated/torch.nn.functional.lp_pool2d.html#torch.nn.functional.lp_pool2d" title="torch.nn.functional.lp_pool2d"><code class="xref py py-obj docutils literal notranslate"><span class="pre">lp_pool2d</span></code></a></p></td>
<td><p>Apply a 2D power-average pooling over an input signal composed of several input planes.</p></td>
</tr>
<tr class="row-even"><td><p><p id="torch.nn.functional.adaptive_max_pool1d"/><a class="reference internal" href="generated/torch.nn.functional.adaptive_max_pool1d.html#torch.nn.functional.adaptive_max_pool1d" title="torch.nn.functional.adaptive_max_pool1d"><code class="xref py py-obj docutils literal notranslate"><span class="pre">adaptive_max_pool1d</span></code></a></p></td>
<td><p>Applies a 1D adaptive max pooling over an input signal composed of several input planes.</p></td>
</tr>
<tr class="row-odd"><td><p><p id="torch.nn.functional.adaptive_max_pool2d"/><a class="reference internal" href="generated/torch.nn.functional.adaptive_max_pool2d.html#torch.nn.functional.adaptive_max_pool2d" title="torch.nn.functional.adaptive_max_pool2d"><code class="xref py py-obj docutils literal notranslate"><span class="pre">adaptive_max_pool2d</span></code></a></p></td>
<td><p>Applies a 2D adaptive max pooling over an input signal composed of several input planes.</p></td>
</tr>
<tr class="row-even"><td><p><p id="torch.nn.functional.adaptive_max_pool3d"/><a class="reference internal" href="generated/torch.nn.functional.adaptive_max_pool3d.html#torch.nn.functional.adaptive_max_pool3d" title="torch.nn.functional.adaptive_max_pool3d"><code class="xref py py-obj docutils literal notranslate"><span class="pre">adaptive_max_pool3d</span></code></a></p></td>
<td><p>Applies a 3D adaptive max pooling over an input signal composed of several input planes.</p></td>
</tr>
<tr class="row-odd"><td><p><p id="torch.nn.functional.adaptive_avg_pool1d"/><a class="reference internal" href="generated/torch.nn.functional.adaptive_avg_pool1d.html#torch.nn.functional.adaptive_avg_pool1d" title="torch.nn.functional.adaptive_avg_pool1d"><code class="xref py py-obj docutils literal notranslate"><span class="pre">adaptive_avg_pool1d</span></code></a></p></td>
<td><p>Applies a 1D adaptive average pooling over an input signal composed of several input planes.</p></td>
</tr>
<tr class="row-even"><td><p><p id="torch.nn.functional.adaptive_avg_pool2d"/><a class="reference internal" href="generated/torch.nn.functional.adaptive_avg_pool2d.html#torch.nn.functional.adaptive_avg_pool2d" title="torch.nn.functional.adaptive_avg_pool2d"><code class="xref py py-obj docutils literal notranslate"><span class="pre">adaptive_avg_pool2d</span></code></a></p></td>
<td><p>Apply a 2D adaptive average pooling over an input signal composed of several input planes.</p></td>
</tr>
<tr class="row-odd"><td><p><p id="torch.nn.functional.adaptive_avg_pool3d"/><a class="reference internal" href="generated/torch.nn.functional.adaptive_avg_pool3d.html#torch.nn.functional.adaptive_avg_pool3d" title="torch.nn.functional.adaptive_avg_pool3d"><code class="xref py py-obj docutils literal notranslate"><span class="pre">adaptive_avg_pool3d</span></code></a></p></td>
<td><p>Apply a 3D adaptive average pooling over an input signal composed of several input planes.</p></td>
</tr>
<tr class="row-even"><td><p><p id="torch.nn.functional.fractional_max_pool2d"/><a class="reference internal" href="generated/torch.nn.functional.fractional_max_pool2d.html#torch.nn.functional.fractional_max_pool2d" title="torch.nn.functional.fractional_max_pool2d"><code class="xref py py-obj docutils literal notranslate"><span class="pre">fractional_max_pool2d</span></code></a></p></td>
<td><p>Applies 2D fractional max pooling over an input signal composed of several input planes.</p></td>
</tr>
<tr class="row-odd"><td><p><p id="torch.nn.functional.fractional_max_pool3d"/><a class="reference internal" href="generated/torch.nn.functional.fractional_max_pool3d.html#torch.nn.functional.fractional_max_pool3d" title="torch.nn.functional.fractional_max_pool3d"><code class="xref py py-obj docutils literal notranslate"><span class="pre">fractional_max_pool3d</span></code></a></p></td>
<td><p>Applies 3D fractional max pooling over an input signal composed of several input planes.</p></td>
</tr>
</tbody>
</table>
</div>
<div class="section" id="attention-mechanisms">
<h2>Attention Mechanisms<a class="headerlink" href="#attention-mechanisms" title="Permalink to this heading">¶</a></h2>
<table class="autosummary longtable docutils colwidths-auto align-default">
<tbody>
<tr class="row-odd"><td><p><p id="torch.nn.functional.scaled_dot_product_attention"/><a class="reference internal" href="generated/torch.nn.functional.scaled_dot_product_attention.html#torch.nn.functional.scaled_dot_product_attention" title="torch.nn.functional.scaled_dot_product_attention"><code class="xref py py-obj docutils literal notranslate"><span class="pre">scaled_dot_product_attention</span></code></a></p></td>
<td><p>Computes scaled dot product attention on query, key and value tensors, using an optional attention mask if passed, and applying dropout if a probability greater than 0.0 is specified.</p></td>
</tr>
</tbody>
</table>
</div>
<div class="section" id="non-linear-activation-functions">
<h2>Non-linear activation functions<a class="headerlink" href="#non-linear-activation-functions" title="Permalink to this heading">¶</a></h2>
<table class="autosummary longtable docutils colwidths-auto align-default">
<tbody>
<tr class="row-odd"><td><p><p id="torch.nn.functional.threshold"/><a class="reference internal" href="generated/torch.nn.functional.threshold.html#torch.nn.functional.threshold" title="torch.nn.functional.threshold"><code class="xref py py-obj docutils literal notranslate"><span class="pre">threshold</span></code></a></p></td>
<td><p>Apply a threshold to each element of the input Tensor.</p></td>
</tr>
<tr class="row-even"><td><p><p id="torch.nn.functional.threshold_"/><a class="reference internal" href="generated/torch.nn.functional.threshold_.html#torch.nn.functional.threshold_" title="torch.nn.functional.threshold_"><code class="xref py py-obj docutils literal notranslate"><span class="pre">threshold_</span></code></a></p></td>
<td><p>In-place version of <a class="reference internal" href="generated/torch.nn.functional.threshold.html#torch.nn.functional.threshold" title="torch.nn.functional.threshold"><code class="xref py py-func docutils literal notranslate"><span class="pre">threshold()</span></code></a>.</p></td>
</tr>
<tr class="row-odd"><td><p><p id="torch.nn.functional.relu"/><a class="reference internal" href="generated/torch.nn.functional.relu.html#torch.nn.functional.relu" title="torch.nn.functional.relu"><code class="xref py py-obj docutils literal notranslate"><span class="pre">relu</span></code></a></p></td>
<td><p>Applies the rectified linear unit function element-wise.</p></td>
</tr>
<tr class="row-even"><td><p><p id="torch.nn.functional.relu_"/><a class="reference internal" href="generated/torch.nn.functional.relu_.html#torch.nn.functional.relu_" title="torch.nn.functional.relu_"><code class="xref py py-obj docutils literal notranslate"><span class="pre">relu_</span></code></a></p></td>
<td><p>In-place version of <a class="reference internal" href="generated/torch.nn.functional.relu.html#torch.nn.functional.relu" title="torch.nn.functional.relu"><code class="xref py py-func docutils literal notranslate"><span class="pre">relu()</span></code></a>.</p></td>
</tr>
<tr class="row-odd"><td><p><p id="torch.nn.functional.hardtanh"/><a class="reference internal" href="generated/torch.nn.functional.hardtanh.html#torch.nn.functional.hardtanh" title="torch.nn.functional.hardtanh"><code class="xref py py-obj docutils literal notranslate"><span class="pre">hardtanh</span></code></a></p></td>
<td><p>Applies the HardTanh function element-wise.</p></td>
</tr>
<tr class="row-even"><td><p><p id="torch.nn.functional.hardtanh_"/><a class="reference internal" href="generated/torch.nn.functional.hardtanh_.html#torch.nn.functional.hardtanh_" title="torch.nn.functional.hardtanh_"><code class="xref py py-obj docutils literal notranslate"><span class="pre">hardtanh_</span></code></a></p></td>
<td><p>In-place version of <a class="reference internal" href="generated/torch.nn.functional.hardtanh.html#torch.nn.functional.hardtanh" title="torch.nn.functional.hardtanh"><code class="xref py py-func docutils literal notranslate"><span class="pre">hardtanh()</span></code></a>.</p></td>
</tr>
<tr class="row-odd"><td><p><p id="torch.nn.functional.hardswish"/><a class="reference internal" href="generated/torch.nn.functional.hardswish.html#torch.nn.functional.hardswish" title="torch.nn.functional.hardswish"><code class="xref py py-obj docutils literal notranslate"><span class="pre">hardswish</span></code></a></p></td>
<td><p>Apply hardswish function, element-wise.</p></td>
</tr>
<tr class="row-even"><td><p><p id="torch.nn.functional.relu6"/><a class="reference internal" href="generated/torch.nn.functional.relu6.html#torch.nn.functional.relu6" title="torch.nn.functional.relu6"><code class="xref py py-obj docutils literal notranslate"><span class="pre">relu6</span></code></a></p></td>
<td><p>Applies the element-wise function <span class="math"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mtext>ReLU6</mtext><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo><mo>=</mo><mi>min</mi><mo></mo><mo stretchy="false">(</mo><mi>max</mi><mo></mo><mo stretchy="false">(</mo><mn>0</mn><mo separator="true">,</mo><mi>x</mi><mo stretchy="false">)</mo><mo separator="true">,</mo><mn>6</mn><mo stretchy="false">)</mo></mrow><annotation encoding="application/x-tex">\text{ReLU6}(x) = \min(\max(0,x), 6)</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mord text"><span class="mord">ReLU6</span></span><span class="mopen">(</span><span class="mord mathnormal">x</span><span class="mclose">)</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mop">min</span><span class="mopen">(</span><span class="mop">max</span><span class="mopen">(</span><span class="mord">0</span><span class="mpunct">,</span><span class="mspace" style="margin-right:0.1667em;"></span><span class="mord mathnormal">x</span><span class="mclose">)</span><span class="mpunct">,</span><span class="mspace" style="margin-right:0.1667em;"></span><span class="mord">6</span><span class="mclose">)</span></span></span></span></span>.</p></td>
</tr>
<tr class="row-odd"><td><p><p id="torch.nn.functional.elu"/><a class="reference internal" href="generated/torch.nn.functional.elu.html#torch.nn.functional.elu" title="torch.nn.functional.elu"><code class="xref py py-obj docutils literal notranslate"><span class="pre">elu</span></code></a></p></td>
<td><p>Apply the Exponential Linear Unit (ELU) function element-wise.</p></td>
</tr>
<tr class="row-even"><td><p><p id="torch.nn.functional.elu_"/><a class="reference internal" href="generated/torch.nn.functional.elu_.html#torch.nn.functional.elu_" title="torch.nn.functional.elu_"><code class="xref py py-obj docutils literal notranslate"><span class="pre">elu_</span></code></a></p></td>
<td><p>In-place version of <a class="reference internal" href="generated/torch.nn.functional.elu.html#torch.nn.functional.elu" title="torch.nn.functional.elu"><code class="xref py py-func docutils literal notranslate"><span class="pre">elu()</span></code></a>.</p></td>
</tr>
<tr class="row-odd"><td><p><p id="torch.nn.functional.selu"/><a class="reference internal" href="generated/torch.nn.functional.selu.html#torch.nn.functional.selu" title="torch.nn.functional.selu"><code class="xref py py-obj docutils literal notranslate"><span class="pre">selu</span></code></a></p></td>
<td><p>Applies element-wise, <span class="math"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mtext>SELU</mtext><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo><mo>=</mo><mi>s</mi><mi>c</mi><mi>a</mi><mi>l</mi><mi>e</mi><mo>∗</mo><mo stretchy="false">(</mo><mi>max</mi><mo></mo><mo stretchy="false">(</mo><mn>0</mn><mo separator="true">,</mo><mi>x</mi><mo stretchy="false">)</mo><mo>+</mo><mi>min</mi><mo></mo><mo stretchy="false">(</mo><mn>0</mn><mo separator="true">,</mo><mi>α</mi><mo>∗</mo><mo stretchy="false">(</mo><mi>exp</mi><mo></mo><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo><mo>−</mo><mn>1</mn><mo stretchy="false">)</mo><mo stretchy="false">)</mo><mo stretchy="false">)</mo></mrow><annotation encoding="application/x-tex">\text{SELU}(x) = scale * (\max(0,x) + \min(0, \alpha * (\exp(x) - 1)))</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mord text"><span class="mord">SELU</span></span><span class="mopen">(</span><span class="mord mathnormal">x</span><span class="mclose">)</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.6944em;"></span><span class="mord mathnormal">sc</span><span class="mord mathnormal">a</span><span class="mord mathnormal" style="margin-right:0.01968em;">l</span><span class="mord mathnormal">e</span><span class="mspace" style="margin-right:0.2222em;"></span><span class="mbin">∗</span><span class="mspace" style="margin-right:0.2222em;"></span></span><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mopen">(</span><span class="mop">max</span><span class="mopen">(</span><span class="mord">0</span><span class="mpunct">,</span><span class="mspace" style="margin-right:0.1667em;"></span><span class="mord mathnormal">x</span><span class="mclose">)</span><span class="mspace" style="margin-right:0.2222em;"></span><span class="mbin">+</span><span class="mspace" style="margin-right:0.2222em;"></span></span><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mop">min</span><span class="mopen">(</span><span class="mord">0</span><span class="mpunct">,</span><span class="mspace" style="margin-right:0.1667em;"></span><span class="mord mathnormal" style="margin-right:0.0037em;">α</span><span class="mspace" style="margin-right:0.2222em;"></span><span class="mbin">∗</span><span class="mspace" style="margin-right:0.2222em;"></span></span><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mopen">(</span><span class="mop">exp</span><span class="mopen">(</span><span class="mord mathnormal">x</span><span class="mclose">)</span><span class="mspace" style="margin-right:0.2222em;"></span><span class="mbin">−</span><span class="mspace" style="margin-right:0.2222em;"></span></span><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mord">1</span><span class="mclose">)))</span></span></span></span></span>, with <span class="math"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mi>α</mi><mo>=</mo><mn>1.6732632423543772848170429916717</mn></mrow><annotation encoding="application/x-tex">\alpha=1.6732632423543772848170429916717</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.4306em;"></span><span class="mord mathnormal" style="margin-right:0.0037em;">α</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.6444em;"></span><span class="mord">1.6732632423543772848170429916717</span></span></span></span></span> and <span class="math"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mi>s</mi><mi>c</mi><mi>a</mi><mi>l</mi><mi>e</mi><mo>=</mo><mn>1.0507009873554804934193349852946</mn></mrow><annotation encoding="application/x-tex">scale=1.0507009873554804934193349852946</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.6944em;"></span><span class="mord mathnormal">sc</span><span class="mord mathnormal">a</span><span class="mord mathnormal" style="margin-right:0.01968em;">l</span><span class="mord mathnormal">e</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.6444em;"></span><span class="mord">1.0507009873554804934193349852946</span></span></span></span></span>.</p></td>
</tr>
<tr class="row-even"><td><p><p id="torch.nn.functional.celu"/><a class="reference internal" href="generated/torch.nn.functional.celu.html#torch.nn.functional.celu" title="torch.nn.functional.celu"><code class="xref py py-obj docutils literal notranslate"><span class="pre">celu</span></code></a></p></td>
<td><p>Applies element-wise, <span class="math"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mtext>CELU</mtext><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo><mo>=</mo><mi>max</mi><mo></mo><mo stretchy="false">(</mo><mn>0</mn><mo separator="true">,</mo><mi>x</mi><mo stretchy="false">)</mo><mo>+</mo><mi>min</mi><mo></mo><mo stretchy="false">(</mo><mn>0</mn><mo separator="true">,</mo><mi>α</mi><mo>∗</mo><mo stretchy="false">(</mo><mi>exp</mi><mo></mo><mo stretchy="false">(</mo><mi>x</mi><mi mathvariant="normal">/</mi><mi>α</mi><mo stretchy="false">)</mo><mo>−</mo><mn>1</mn><mo stretchy="false">)</mo><mo stretchy="false">)</mo></mrow><annotation encoding="application/x-tex">\text{CELU}(x) = \max(0,x) + \min(0, \alpha * (\exp(x/\alpha) - 1))</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mord text"><span class="mord">CELU</span></span><span class="mopen">(</span><span class="mord mathnormal">x</span><span class="mclose">)</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mop">max</span><span class="mopen">(</span><span class="mord">0</span><span class="mpunct">,</span><span class="mspace" style="margin-right:0.1667em;"></span><span class="mord mathnormal">x</span><span class="mclose">)</span><span class="mspace" style="margin-right:0.2222em;"></span><span class="mbin">+</span><span class="mspace" style="margin-right:0.2222em;"></span></span><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mop">min</span><span class="mopen">(</span><span class="mord">0</span><span class="mpunct">,</span><span class="mspace" style="margin-right:0.1667em;"></span><span class="mord mathnormal" style="margin-right:0.0037em;">α</span><span class="mspace" style="margin-right:0.2222em;"></span><span class="mbin">∗</span><span class="mspace" style="margin-right:0.2222em;"></span></span><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mopen">(</span><span class="mop">exp</span><span class="mopen">(</span><span class="mord mathnormal">x</span><span class="mord">/</span><span class="mord mathnormal" style="margin-right:0.0037em;">α</span><span class="mclose">)</span><span class="mspace" style="margin-right:0.2222em;"></span><span class="mbin">−</span><span class="mspace" style="margin-right:0.2222em;"></span></span><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mord">1</span><span class="mclose">))</span></span></span></span></span>.</p></td>
</tr>
<tr class="row-odd"><td><p><p id="torch.nn.functional.leaky_relu"/><a class="reference internal" href="generated/torch.nn.functional.leaky_relu.html#torch.nn.functional.leaky_relu" title="torch.nn.functional.leaky_relu"><code class="xref py py-obj docutils literal notranslate"><span class="pre">leaky_relu</span></code></a></p></td>
<td><p>Applies element-wise, <span class="math"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mtext>LeakyReLU</mtext><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo><mo>=</mo><mi>max</mi><mo></mo><mo stretchy="false">(</mo><mn>0</mn><mo separator="true">,</mo><mi>x</mi><mo stretchy="false">)</mo><mo>+</mo><mtext>negative_slope</mtext><mo>∗</mo><mi>min</mi><mo></mo><mo stretchy="false">(</mo><mn>0</mn><mo separator="true">,</mo><mi>x</mi><mo stretchy="false">)</mo></mrow><annotation encoding="application/x-tex">\text{LeakyReLU}(x) = \max(0, x) + \text{negative\_slope} * \min(0, x)</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mord text"><span class="mord">LeakyReLU</span></span><span class="mopen">(</span><span class="mord mathnormal">x</span><span class="mclose">)</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mop">max</span><span class="mopen">(</span><span class="mord">0</span><span class="mpunct">,</span><span class="mspace" style="margin-right:0.1667em;"></span><span class="mord mathnormal">x</span><span class="mclose">)</span><span class="mspace" style="margin-right:0.2222em;"></span><span class="mbin">+</span><span class="mspace" style="margin-right:0.2222em;"></span></span><span class="base"><span class="strut" style="height:1.0044em;vertical-align:-0.31em;"></span><span class="mord text"><span class="mord">negative_slope</span></span><span class="mspace" style="margin-right:0.2222em;"></span><span class="mbin">∗</span><span class="mspace" style="margin-right:0.2222em;"></span></span><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mop">min</span><span class="mopen">(</span><span class="mord">0</span><span class="mpunct">,</span><span class="mspace" style="margin-right:0.1667em;"></span><span class="mord mathnormal">x</span><span class="mclose">)</span></span></span></span></span></p></td>
</tr>
<tr class="row-even"><td><p><p id="torch.nn.functional.leaky_relu_"/><a class="reference internal" href="generated/torch.nn.functional.leaky_relu_.html#torch.nn.functional.leaky_relu_" title="torch.nn.functional.leaky_relu_"><code class="xref py py-obj docutils literal notranslate"><span class="pre">leaky_relu_</span></code></a></p></td>
<td><p>In-place version of <a class="reference internal" href="generated/torch.nn.functional.leaky_relu.html#torch.nn.functional.leaky_relu" title="torch.nn.functional.leaky_relu"><code class="xref py py-func docutils literal notranslate"><span class="pre">leaky_relu()</span></code></a>.</p></td>
</tr>
<tr class="row-odd"><td><p><p id="torch.nn.functional.prelu"/><a class="reference internal" href="generated/torch.nn.functional.prelu.html#torch.nn.functional.prelu" title="torch.nn.functional.prelu"><code class="xref py py-obj docutils literal notranslate"><span class="pre">prelu</span></code></a></p></td>
<td><p>Applies element-wise the function <span class="math"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mtext>PReLU</mtext><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo><mo>=</mo><mi>max</mi><mo></mo><mo stretchy="false">(</mo><mn>0</mn><mo separator="true">,</mo><mi>x</mi><mo stretchy="false">)</mo><mo>+</mo><mtext>weight</mtext><mo>∗</mo><mi>min</mi><mo></mo><mo stretchy="false">(</mo><mn>0</mn><mo separator="true">,</mo><mi>x</mi><mo stretchy="false">)</mo></mrow><annotation encoding="application/x-tex">\text{PReLU}(x) = \max(0,x) + \text{weight} * \min(0,x)</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mord text"><span class="mord">PReLU</span></span><span class="mopen">(</span><span class="mord mathnormal">x</span><span class="mclose">)</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mop">max</span><span class="mopen">(</span><span class="mord">0</span><span class="mpunct">,</span><span class="mspace" style="margin-right:0.1667em;"></span><span class="mord mathnormal">x</span><span class="mclose">)</span><span class="mspace" style="margin-right:0.2222em;"></span><span class="mbin">+</span><span class="mspace" style="margin-right:0.2222em;"></span></span><span class="base"><span class="strut" style="height:0.8889em;vertical-align:-0.1944em;"></span><span class="mord text"><span class="mord">weight</span></span><span class="mspace" style="margin-right:0.2222em;"></span><span class="mbin">∗</span><span class="mspace" style="margin-right:0.2222em;"></span></span><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mop">min</span><span class="mopen">(</span><span class="mord">0</span><span class="mpunct">,</span><span class="mspace" style="margin-right:0.1667em;"></span><span class="mord mathnormal">x</span><span class="mclose">)</span></span></span></span></span> where weight is a learnable parameter.</p></td>
</tr>
<tr class="row-even"><td><p><p id="torch.nn.functional.rrelu"/><a class="reference internal" href="generated/torch.nn.functional.rrelu.html#torch.nn.functional.rrelu" title="torch.nn.functional.rrelu"><code class="xref py py-obj docutils literal notranslate"><span class="pre">rrelu</span></code></a></p></td>
<td><p>Randomized leaky ReLU.</p></td>
</tr>
<tr class="row-odd"><td><p><p id="torch.nn.functional.rrelu_"/><a class="reference internal" href="generated/torch.nn.functional.rrelu_.html#torch.nn.functional.rrelu_" title="torch.nn.functional.rrelu_"><code class="xref py py-obj docutils literal notranslate"><span class="pre">rrelu_</span></code></a></p></td>
<td><p>In-place version of <a class="reference internal" href="generated/torch.nn.functional.rrelu.html#torch.nn.functional.rrelu" title="torch.nn.functional.rrelu"><code class="xref py py-func docutils literal notranslate"><span class="pre">rrelu()</span></code></a>.</p></td>
</tr>
<tr class="row-even"><td><p><p id="torch.nn.functional.glu"/><a class="reference internal" href="generated/torch.nn.functional.glu.html#torch.nn.functional.glu" title="torch.nn.functional.glu"><code class="xref py py-obj docutils literal notranslate"><span class="pre">glu</span></code></a></p></td>
<td><p>The gated linear unit.</p></td>
</tr>
<tr class="row-odd"><td><p><p id="torch.nn.functional.gelu"/><a class="reference internal" href="generated/torch.nn.functional.gelu.html#torch.nn.functional.gelu" title="torch.nn.functional.gelu"><code class="xref py py-obj docutils literal notranslate"><span class="pre">gelu</span></code></a></p></td>
<td><p>When the approximate argument is 'none', it applies element-wise the function <span class="math"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mtext>GELU</mtext><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo><mo>=</mo><mi>x</mi><mo>∗</mo><mi mathvariant="normal">Φ</mi><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo></mrow><annotation encoding="application/x-tex">\text{GELU}(x) = x * \Phi(x)</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mord text"><span class="mord">GELU</span></span><span class="mopen">(</span><span class="mord mathnormal">x</span><span class="mclose">)</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.4653em;"></span><span class="mord mathnormal">x</span><span class="mspace" style="margin-right:0.2222em;"></span><span class="mbin">∗</span><span class="mspace" style="margin-right:0.2222em;"></span></span><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mord">Φ</span><span class="mopen">(</span><span class="mord mathnormal">x</span><span class="mclose">)</span></span></span></span></span></p></td>
</tr>
<tr class="row-even"><td><p><p id="torch.nn.functional.logsigmoid"/><a class="reference internal" href="generated/torch.nn.functional.logsigmoid.html#torch.nn.functional.logsigmoid" title="torch.nn.functional.logsigmoid"><code class="xref py py-obj docutils literal notranslate"><span class="pre">logsigmoid</span></code></a></p></td>
<td><p>Applies element-wise <span class="math"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mtext>LogSigmoid</mtext><mo stretchy="false">(</mo><msub><mi>x</mi><mi>i</mi></msub><mo stretchy="false">)</mo><mo>=</mo><mi>log</mi><mo></mo><mrow><mo fence="true">(</mo><mfrac><mn>1</mn><mrow><mn>1</mn><mo>+</mo><mi>exp</mi><mo></mo><mo stretchy="false">(</mo><mo>−</mo><msub><mi>x</mi><mi>i</mi></msub><mo stretchy="false">)</mo></mrow></mfrac><mo fence="true">)</mo></mrow></mrow><annotation encoding="application/x-tex">\text{LogSigmoid}(x_i) = \log \left(\frac{1}{1 + \exp(-x_i)}\right)</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mord text"><span class="mord">LogSigmoid</span></span><span class="mopen">(</span><span class="mord"><span class="mord mathnormal">x</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.3117em;"><span style="top:-2.55em;margin-left:0em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mathnormal mtight">i</span></span></span></span><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"><span></span></span></span></span></span></span><span class="mclose">)</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:1.8em;vertical-align:-0.65em;"></span><span class="mop">lo<span style="margin-right:0.01389em;">g</span></span><span class="mspace" style="margin-right:0.1667em;"></span><span class="minner"><span class="mopen delimcenter" style="top:0em;"><span class="delimsizing size2">(</span></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.8451em;"><span style="top:-2.655em;"><span class="pstrut" style="height:3em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mtight">1</span><span class="mbin mtight">+</span><span class="mop mtight"><span class="mtight">e</span><span class="mtight">x</span><span class="mtight">p</span></span><span class="mopen mtight">(</span><span class="mord mtight">−</span><span class="mord mtight"><span class="mord mathnormal mtight">x</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.3281em;"><span style="top:-2.357em;margin-left:0em;margin-right:0.0714em;"><span class="pstrut" style="height:2.5em;"></span><span class="sizing reset-size3 size1 mtight"><span class="mord mathnormal mtight">i</span></span></span></span><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height:0.143em;"><span></span></span></span></span></span></span><span class="mclose mtight">)</span></span></span></span><span style="top:-3.23em;"><span class="pstrut" style="height:3em;"></span><span class="frac-line" style="border-bottom-width:0.04em;"></span></span><span style="top:-3.394em;"><span class="pstrut" style="height:3em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mtight">1</span></span></span></span></span><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height:0.52em;"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span><span class="mclose delimcenter" style="top:0em;"><span class="delimsizing size2">)</span></span></span></span></span></span></span></p></td>
</tr>
<tr class="row-odd"><td><p><p id="torch.nn.functional.hardshrink"/><a class="reference internal" href="generated/torch.nn.functional.hardshrink.html#torch.nn.functional.hardshrink" title="torch.nn.functional.hardshrink"><code class="xref py py-obj docutils literal notranslate"><span class="pre">hardshrink</span></code></a></p></td>
<td><p>Applies the hard shrinkage function element-wise</p></td>
</tr>
<tr class="row-even"><td><p><p id="torch.nn.functional.tanhshrink"/><a class="reference internal" href="generated/torch.nn.functional.tanhshrink.html#torch.nn.functional.tanhshrink" title="torch.nn.functional.tanhshrink"><code class="xref py py-obj docutils literal notranslate"><span class="pre">tanhshrink</span></code></a></p></td>
<td><p>Applies element-wise, <span class="math"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mtext>Tanhshrink</mtext><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo><mo>=</mo><mi>x</mi><mo>−</mo><mtext>Tanh</mtext><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo></mrow><annotation encoding="application/x-tex">\text{Tanhshrink}(x) = x - \text{Tanh}(x)</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mord text"><span class="mord">Tanhshrink</span></span><span class="mopen">(</span><span class="mord mathnormal">x</span><span class="mclose">)</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.6667em;vertical-align:-0.0833em;"></span><span class="mord mathnormal">x</span><span class="mspace" style="margin-right:0.2222em;"></span><span class="mbin">−</span><span class="mspace" style="margin-right:0.2222em;"></span></span><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mord text"><span class="mord">Tanh</span></span><span class="mopen">(</span><span class="mord mathnormal">x</span><span class="mclose">)</span></span></span></span></span></p></td>
</tr>
<tr class="row-odd"><td><p><p id="torch.nn.functional.softsign"/><a class="reference internal" href="generated/torch.nn.functional.softsign.html#torch.nn.functional.softsign" title="torch.nn.functional.softsign"><code class="xref py py-obj docutils literal notranslate"><span class="pre">softsign</span></code></a></p></td>
<td><p>Applies element-wise, the function <span class="math"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mtext>SoftSign</mtext><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo><mo>=</mo><mfrac><mi>x</mi><mrow><mn>1</mn><mo>+</mo><mi mathvariant="normal">∣</mi><mi>x</mi><mi mathvariant="normal">∣</mi></mrow></mfrac></mrow><annotation encoding="application/x-tex">\text{SoftSign}(x) = \frac{x}{1 + |x|}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mord text"><span class="mord">SoftSign</span></span><span class="mopen">(</span><span class="mord mathnormal">x</span><span class="mclose">)</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:1.2154em;vertical-align:-0.52em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.6954em;"><span style="top:-2.655em;"><span class="pstrut" style="height:3em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mtight">1</span><span class="mbin mtight">+</span><span class="mord mtight">∣</span><span class="mord mathnormal mtight">x</span><span class="mord mtight">∣</span></span></span></span><span style="top:-3.23em;"><span class="pstrut" style="height:3em;"></span><span class="frac-line" style="border-bottom-width:0.04em;"></span></span><span style="top:-3.394em;"><span class="pstrut" style="height:3em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mathnormal mtight">x</span></span></span></span></span><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height:0.52em;"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span></span></span></span></span></p></td>
</tr>
<tr class="row-even"><td><p><p id="torch.nn.functional.softplus"/><a class="reference internal" href="generated/torch.nn.functional.softplus.html#torch.nn.functional.softplus" title="torch.nn.functional.softplus"><code class="xref py py-obj docutils literal notranslate"><span class="pre">softplus</span></code></a></p></td>
<td><p>Applies element-wise, the function <span class="math"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mtext>Softplus</mtext><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo><mo>=</mo><mfrac><mn>1</mn><mi>β</mi></mfrac><mo>∗</mo><mi>log</mi><mo></mo><mo stretchy="false">(</mo><mn>1</mn><mo>+</mo><mi>exp</mi><mo></mo><mo stretchy="false">(</mo><mi>β</mi><mo>∗</mo><mi>x</mi><mo stretchy="false">)</mo><mo stretchy="false">)</mo></mrow><annotation encoding="application/x-tex">\text{Softplus}(x) = \frac{1}{\beta} * \log(1 + \exp(\beta * x))</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mord text"><span class="mord">Softplus</span></span><span class="mopen">(</span><span class="mord mathnormal">x</span><span class="mclose">)</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:1.3262em;vertical-align:-0.4811em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.8451em;"><span style="top:-2.655em;"><span class="pstrut" style="height:3em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mathnormal mtight" style="margin-right:0.05278em;">β</span></span></span></span><span style="top:-3.23em;"><span class="pstrut" style="height:3em;"></span><span class="frac-line" style="border-bottom-width:0.04em;"></span></span><span style="top:-3.394em;"><span class="pstrut" style="height:3em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mtight">1</span></span></span></span></span><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height:0.4811em;"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span><span class="mspace" style="margin-right:0.2222em;"></span><span class="mbin">∗</span><span class="mspace" style="margin-right:0.2222em;"></span></span><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mop">lo<span style="margin-right:0.01389em;">g</span></span><span class="mopen">(</span><span class="mord">1</span><span class="mspace" style="margin-right:0.2222em;"></span><span class="mbin">+</span><span class="mspace" style="margin-right:0.2222em;"></span></span><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mop">exp</span><span class="mopen">(</span><span class="mord mathnormal" style="margin-right:0.05278em;">β</span><span class="mspace" style="margin-right:0.2222em;"></span><span class="mbin">∗</span><span class="mspace" style="margin-right:0.2222em;"></span></span><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mord mathnormal">x</span><span class="mclose">))</span></span></span></span></span>.</p></td>
</tr>
<tr class="row-odd"><td><p><p id="torch.nn.functional.softmin"/><a class="reference internal" href="generated/torch.nn.functional.softmin.html#torch.nn.functional.softmin" title="torch.nn.functional.softmin"><code class="xref py py-obj docutils literal notranslate"><span class="pre">softmin</span></code></a></p></td>
<td><p>Apply a softmin function.</p></td>
</tr>
<tr class="row-even"><td><p><p id="torch.nn.functional.softmax"/><a class="reference internal" href="generated/torch.nn.functional.softmax.html#torch.nn.functional.softmax" title="torch.nn.functional.softmax"><code class="xref py py-obj docutils literal notranslate"><span class="pre">softmax</span></code></a></p></td>
<td><p>Apply a softmax function.</p></td>
</tr>
<tr class="row-odd"><td><p><p id="torch.nn.functional.softshrink"/><a class="reference internal" href="generated/torch.nn.functional.softshrink.html#torch.nn.functional.softshrink" title="torch.nn.functional.softshrink"><code class="xref py py-obj docutils literal notranslate"><span class="pre">softshrink</span></code></a></p></td>
<td><p>Applies the soft shrinkage function elementwise</p></td>
</tr>
<tr class="row-even"><td><p><p id="torch.nn.functional.gumbel_softmax"/><a class="reference internal" href="generated/torch.nn.functional.gumbel_softmax.html#torch.nn.functional.gumbel_softmax" title="torch.nn.functional.gumbel_softmax"><code class="xref py py-obj docutils literal notranslate"><span class="pre">gumbel_softmax</span></code></a></p></td>
<td><p>Sample from the Gumbel-Softmax distribution (<a class="reference external" href="https://arxiv.org/abs/1611.00712">Link 1</a> <a class="reference external" href="https://arxiv.org/abs/1611.01144">Link 2</a>) and optionally discretize.</p></td>
</tr>
<tr class="row-odd"><td><p><p id="torch.nn.functional.log_softmax"/><a class="reference internal" href="generated/torch.nn.functional.log_softmax.html#torch.nn.functional.log_softmax" title="torch.nn.functional.log_softmax"><code class="xref py py-obj docutils literal notranslate"><span class="pre">log_softmax</span></code></a></p></td>
<td><p>Apply a softmax followed by a logarithm.</p></td>
</tr>
<tr class="row-even"><td><p><p id="torch.nn.functional.tanh"/><a class="reference internal" href="generated/torch.nn.functional.tanh.html#torch.nn.functional.tanh" title="torch.nn.functional.tanh"><code class="xref py py-obj docutils literal notranslate"><span class="pre">tanh</span></code></a></p></td>
<td><p>Applies element-wise, <span class="math"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mtext>Tanh</mtext><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo><mo>=</mo><mi>tanh</mi><mo></mo><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo><mo>=</mo><mfrac><mrow><mi>exp</mi><mo></mo><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo><mo>−</mo><mi>exp</mi><mo></mo><mo stretchy="false">(</mo><mo>−</mo><mi>x</mi><mo stretchy="false">)</mo></mrow><mrow><mi>exp</mi><mo></mo><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo><mo>+</mo><mi>exp</mi><mo></mo><mo stretchy="false">(</mo><mo>−</mo><mi>x</mi><mo stretchy="false">)</mo></mrow></mfrac></mrow><annotation encoding="application/x-tex">\text{Tanh}(x) = \tanh(x) = \frac{\exp(x) - \exp(-x)}{\exp(x) + \exp(-x)}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mord text"><span class="mord">Tanh</span></span><span class="mopen">(</span><span class="mord mathnormal">x</span><span class="mclose">)</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mop">tanh</span><span class="mopen">(</span><span class="mord mathnormal">x</span><span class="mclose">)</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:1.53em;vertical-align:-0.52em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:1.01em;"><span style="top:-2.655em;"><span class="pstrut" style="height:3em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mop mtight"><span class="mtight">e</span><span class="mtight">x</span><span class="mtight">p</span></span><span class="mopen mtight">(</span><span class="mord mathnormal mtight">x</span><span class="mclose mtight">)</span><span class="mbin mtight">+</span><span class="mop mtight"><span class="mtight">e</span><span class="mtight">x</span><span class="mtight">p</span></span><span class="mopen mtight">(</span><span class="mord mtight">−</span><span class="mord mathnormal mtight">x</span><span class="mclose mtight">)</span></span></span></span><span style="top:-3.23em;"><span class="pstrut" style="height:3em;"></span><span class="frac-line" style="border-bottom-width:0.04em;"></span></span><span style="top:-3.485em;"><span class="pstrut" style="height:3em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mop mtight"><span class="mtight">e</span><span class="mtight">x</span><span class="mtight">p</span></span><span class="mopen mtight">(</span><span class="mord mathnormal mtight">x</span><span class="mclose mtight">)</span><span class="mbin mtight">−</span><span class="mop mtight"><span class="mtight">e</span><span class="mtight">x</span><span class="mtight">p</span></span><span class="mopen mtight">(</span><span class="mord mtight">−</span><span class="mord mathnormal mtight">x</span><span class="mclose mtight">)</span></span></span></span></span><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height:0.52em;"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span></span></span></span></span></p></td>
</tr>
<tr class="row-odd"><td><p><p id="torch.nn.functional.sigmoid"/><a class="reference internal" href="generated/torch.nn.functional.sigmoid.html#torch.nn.functional.sigmoid" title="torch.nn.functional.sigmoid"><code class="xref py py-obj docutils literal notranslate"><span class="pre">sigmoid</span></code></a></p></td>
<td><p>Applies the element-wise function <span class="math"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mtext>Sigmoid</mtext><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo><mo>=</mo><mfrac><mn>1</mn><mrow><mn>1</mn><mo>+</mo><mi>exp</mi><mo></mo><mo stretchy="false">(</mo><mo>−</mo><mi>x</mi><mo stretchy="false">)</mo></mrow></mfrac></mrow><annotation encoding="application/x-tex">\text{Sigmoid}(x) = \frac{1}{1 + \exp(-x)}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mord text"><span class="mord">Sigmoid</span></span><span class="mopen">(</span><span class="mord mathnormal">x</span><span class="mclose">)</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:1.3651em;vertical-align:-0.52em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.8451em;"><span style="top:-2.655em;"><span class="pstrut" style="height:3em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mtight">1</span><span class="mbin mtight">+</span><span class="mop mtight"><span class="mtight">e</span><span class="mtight">x</span><span class="mtight">p</span></span><span class="mopen mtight">(</span><span class="mord mtight">−</span><span class="mord mathnormal mtight">x</span><span class="mclose mtight">)</span></span></span></span><span style="top:-3.23em;"><span class="pstrut" style="height:3em;"></span><span class="frac-line" style="border-bottom-width:0.04em;"></span></span><span style="top:-3.394em;"><span class="pstrut" style="height:3em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mtight">1</span></span></span></span></span><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height:0.52em;"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span></span></span></span></span></p></td>
</tr>
<tr class="row-even"><td><p><p id="torch.nn.functional.hardsigmoid"/><a class="reference internal" href="generated/torch.nn.functional.hardsigmoid.html#torch.nn.functional.hardsigmoid" title="torch.nn.functional.hardsigmoid"><code class="xref py py-obj docutils literal notranslate"><span class="pre">hardsigmoid</span></code></a></p></td>
<td><p>Apply the Hardsigmoid function element-wise.</p></td>
</tr>
<tr class="row-odd"><td><p><p id="torch.nn.functional.silu"/><a class="reference internal" href="generated/torch.nn.functional.silu.html#torch.nn.functional.silu" title="torch.nn.functional.silu"><code class="xref py py-obj docutils literal notranslate"><span class="pre">silu</span></code></a></p></td>
<td><p>Apply the Sigmoid Linear Unit (SiLU) function, element-wise.</p></td>
</tr>
<tr class="row-even"><td><p><p id="torch.nn.functional.mish"/><a class="reference internal" href="generated/torch.nn.functional.mish.html#torch.nn.functional.mish" title="torch.nn.functional.mish"><code class="xref py py-obj docutils literal notranslate"><span class="pre">mish</span></code></a></p></td>
<td><p>Apply the Mish function, element-wise.</p></td>
</tr>
<tr class="row-odd"><td><p><p id="torch.nn.functional.batch_norm"/><a class="reference internal" href="generated/torch.nn.functional.batch_norm.html#torch.nn.functional.batch_norm" title="torch.nn.functional.batch_norm"><code class="xref py py-obj docutils literal notranslate"><span class="pre">batch_norm</span></code></a></p></td>
<td><p>Apply Batch Normalization for each channel across a batch of data.</p></td>
</tr>
<tr class="row-even"><td><p><p id="torch.nn.functional.group_norm"/><a class="reference internal" href="generated/torch.nn.functional.group_norm.html#torch.nn.functional.group_norm" title="torch.nn.functional.group_norm"><code class="xref py py-obj docutils literal notranslate"><span class="pre">group_norm</span></code></a></p></td>
<td><p>Apply Group Normalization for last certain number of dimensions.</p></td>
</tr>
<tr class="row-odd"><td><p><p id="torch.nn.functional.instance_norm"/><a class="reference internal" href="generated/torch.nn.functional.instance_norm.html#torch.nn.functional.instance_norm" title="torch.nn.functional.instance_norm"><code class="xref py py-obj docutils literal notranslate"><span class="pre">instance_norm</span></code></a></p></td>
<td><p>Apply Instance Normalization independently for each channel in every data sample within a batch.</p></td>
</tr>
<tr class="row-even"><td><p><p id="torch.nn.functional.layer_norm"/><a class="reference internal" href="generated/torch.nn.functional.layer_norm.html#torch.nn.functional.layer_norm" title="torch.nn.functional.layer_norm"><code class="xref py py-obj docutils literal notranslate"><span class="pre">layer_norm</span></code></a></p></td>
<td><p>Apply Layer Normalization for last certain number of dimensions.</p></td>
</tr>
<tr class="row-odd"><td><p><p id="torch.nn.functional.local_response_norm"/><a class="reference internal" href="generated/torch.nn.functional.local_response_norm.html#torch.nn.functional.local_response_norm" title="torch.nn.functional.local_response_norm"><code class="xref py py-obj docutils literal notranslate"><span class="pre">local_response_norm</span></code></a></p></td>
<td><p>Apply local response normalization over an input signal.</p></td>
</tr>
<tr class="row-even"><td><p><p id="torch.nn.functional.normalize"/><a class="reference internal" href="generated/torch.nn.functional.normalize.html#torch.nn.functional.normalize" title="torch.nn.functional.normalize"><code class="xref py py-obj docutils literal notranslate"><span class="pre">normalize</span></code></a></p></td>
<td><p>Perform <span class="math"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><msub><mi>L</mi><mi>p</mi></msub></mrow><annotation encoding="application/x-tex">L_p</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.9694em;vertical-align:-0.2861em;"></span><span class="mord"><span class="mord mathnormal">L</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.1514em;"><span style="top:-2.55em;margin-left:0em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mathnormal mtight">p</span></span></span></span><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height:0.2861em;"><span></span></span></span></span></span></span></span></span></span></span> normalization of inputs over specified dimension.</p></td>
</tr>
</tbody>
</table>
</div>
<div class="section" id="linear-functions">
<h2>Linear functions<a class="headerlink" href="#linear-functions" title="Permalink to this heading">¶</a></h2>
<table class="autosummary longtable docutils colwidths-auto align-default">
<tbody>
<tr class="row-odd"><td><p><p id="torch.nn.functional.linear"/><a class="reference internal" href="generated/torch.nn.functional.linear.html#torch.nn.functional.linear" title="torch.nn.functional.linear"><code class="xref py py-obj docutils literal notranslate"><span class="pre">linear</span></code></a></p></td>
<td><p>Applies a linear transformation to the incoming data: <span class="math"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mi>y</mi><mo>=</mo><mi>x</mi><msup><mi>A</mi><mi>T</mi></msup><mo>+</mo><mi>b</mi></mrow><annotation encoding="application/x-tex">y = xA^T + b</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.625em;vertical-align:-0.1944em;"></span><span class="mord mathnormal" style="margin-right:0.03588em;">y</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.9247em;vertical-align:-0.0833em;"></span><span class="mord mathnormal">x</span><span class="mord"><span class="mord mathnormal">A</span><span class="msupsub"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:0.8413em;"><span style="top:-3.063em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mathnormal mtight" style="margin-right:0.13889em;">T</span></span></span></span></span></span></span></span><span class="mspace" style="margin-right:0.2222em;"></span><span class="mbin">+</span><span class="mspace" style="margin-right:0.2222em;"></span></span><span class="base"><span class="strut" style="height:0.6944em;"></span><span class="mord mathnormal">b</span></span></span></span></span>.</p></td>
</tr>
<tr class="row-even"><td><p><p id="torch.nn.functional.bilinear"/><a class="reference internal" href="generated/torch.nn.functional.bilinear.html#torch.nn.functional.bilinear" title="torch.nn.functional.bilinear"><code class="xref py py-obj docutils literal notranslate"><span class="pre">bilinear</span></code></a></p></td>
<td><p>Applies a bilinear transformation to the incoming data: <span class="math"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mi>y</mi><mo>=</mo><msubsup><mi>x</mi><mn>1</mn><mi>T</mi></msubsup><mi>A</mi><msub><mi>x</mi><mn>2</mn></msub><mo>+</mo><mi>b</mi></mrow><annotation encoding="application/x-tex">y = x_1^T A x_2 + b</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.625em;vertical-align:-0.1944em;"></span><span class="mord mathnormal" style="margin-right:0.03588em;">y</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:1.0894em;vertical-align:-0.2481em;"></span><span class="mord"><span class="mord mathnormal">x</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.8413em;"><span style="top:-2.4519em;margin-left:0em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">1</span></span></span><span style="top:-3.063em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mathnormal mtight" style="margin-right:0.13889em;">T</span></span></span></span><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height:0.2481em;"><span></span></span></span></span></span></span><span class="mord mathnormal">A</span><span class="mord"><span class="mord mathnormal">x</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.3011em;"><span style="top:-2.55em;margin-left:0em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">2</span></span></span></span><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"><span></span></span></span></span></span></span><span class="mspace" style="margin-right:0.2222em;"></span><span class="mbin">+</span><span class="mspace" style="margin-right:0.2222em;"></span></span><span class="base"><span class="strut" style="height:0.6944em;"></span><span class="mord mathnormal">b</span></span></span></span></span></p></td>
</tr>
</tbody>
</table>
</div>
<div class="section" id="dropout-functions">
<h2>Dropout functions<a class="headerlink" href="#dropout-functions" title="Permalink to this heading">¶</a></h2>
<table class="autosummary longtable docutils colwidths-auto align-default">
<tbody>
<tr class="row-odd"><td><p><p id="torch.nn.functional.dropout"/><a class="reference internal" href="generated/torch.nn.functional.dropout.html#torch.nn.functional.dropout" title="torch.nn.functional.dropout"><code class="xref py py-obj docutils literal notranslate"><span class="pre">dropout</span></code></a></p></td>
<td><p>During training, randomly zeroes some elements of the input tensor with probability <code class="xref py py-attr docutils literal notranslate"><span class="pre">p</span></code>.</p></td>
</tr>
<tr class="row-even"><td><p><p id="torch.nn.functional.alpha_dropout"/><a class="reference internal" href="generated/torch.nn.functional.alpha_dropout.html#torch.nn.functional.alpha_dropout" title="torch.nn.functional.alpha_dropout"><code class="xref py py-obj docutils literal notranslate"><span class="pre">alpha_dropout</span></code></a></p></td>
<td><p>Apply alpha dropout to the input.</p></td>
</tr>
<tr class="row-odd"><td><p><p id="torch.nn.functional.feature_alpha_dropout"/><a class="reference internal" href="generated/torch.nn.functional.feature_alpha_dropout.html#torch.nn.functional.feature_alpha_dropout" title="torch.nn.functional.feature_alpha_dropout"><code class="xref py py-obj docutils literal notranslate"><span class="pre">feature_alpha_dropout</span></code></a></p></td>
<td><p>Randomly masks out entire channels (a channel is a feature map).</p></td>
</tr>
<tr class="row-even"><td><p><p id="torch.nn.functional.dropout1d"/><a class="reference internal" href="generated/torch.nn.functional.dropout1d.html#torch.nn.functional.dropout1d" title="torch.nn.functional.dropout1d"><code class="xref py py-obj docutils literal notranslate"><span class="pre">dropout1d</span></code></a></p></td>
<td><p>Randomly zero out entire channels (a channel is a 1D feature map).</p></td>
</tr>
<tr class="row-odd"><td><p><p id="torch.nn.functional.dropout2d"/><a class="reference internal" href="generated/torch.nn.functional.dropout2d.html#torch.nn.functional.dropout2d" title="torch.nn.functional.dropout2d"><code class="xref py py-obj docutils literal notranslate"><span class="pre">dropout2d</span></code></a></p></td>
<td><p>Randomly zero out entire channels (a channel is a 2D feature map).</p></td>
</tr>
<tr class="row-even"><td><p><p id="torch.nn.functional.dropout3d"/><a class="reference internal" href="generated/torch.nn.functional.dropout3d.html#torch.nn.functional.dropout3d" title="torch.nn.functional.dropout3d"><code class="xref py py-obj docutils literal notranslate"><span class="pre">dropout3d</span></code></a></p></td>
<td><p>Randomly zero out entire channels (a channel is a 3D feature map).</p></td>
</tr>
</tbody>
</table>
</div>
<div class="section" id="sparse-functions">
<h2>Sparse functions<a class="headerlink" href="#sparse-functions" title="Permalink to this heading">¶</a></h2>
<table class="autosummary longtable docutils colwidths-auto align-default">
<tbody>
<tr class="row-odd"><td><p><p id="torch.nn.functional.embedding"/><a class="reference internal" href="generated/torch.nn.functional.embedding.html#torch.nn.functional.embedding" title="torch.nn.functional.embedding"><code class="xref py py-obj docutils literal notranslate"><span class="pre">embedding</span></code></a></p></td>
<td><p>Generate a simple lookup table that looks up embeddings in a fixed dictionary and size.</p></td>
</tr>
<tr class="row-even"><td><p><p id="torch.nn.functional.embedding_bag"/><a class="reference internal" href="generated/torch.nn.functional.embedding_bag.html#torch.nn.functional.embedding_bag" title="torch.nn.functional.embedding_bag"><code class="xref py py-obj docutils literal notranslate"><span class="pre">embedding_bag</span></code></a></p></td>
<td><p>Compute sums, means or maxes of <cite>bags</cite> of embeddings.</p></td>
</tr>
<tr class="row-odd"><td><p><p id="torch.nn.functional.one_hot"/><a class="reference internal" href="generated/torch.nn.functional.one_hot.html#torch.nn.functional.one_hot" title="torch.nn.functional.one_hot"><code class="xref py py-obj docutils literal notranslate"><span class="pre">one_hot</span></code></a></p></td>
<td><p>Takes LongTensor with index values of shape <code class="docutils literal notranslate"><span class="pre">(*)</span></code> and returns a tensor of shape <code class="docutils literal notranslate"><span class="pre">(*,</span> <span class="pre">num_classes)</span></code> that have zeros everywhere except where the index of last dimension matches the corresponding value of the input tensor, in which case it will be 1.</p></td>
</tr>
</tbody>
</table>
</div>
<div class="section" id="distance-functions">
<h2>Distance functions<a class="headerlink" href="#distance-functions" title="Permalink to this heading">¶</a></h2>
<table class="autosummary longtable docutils colwidths-auto align-default">
<tbody>
<tr class="row-odd"><td><p><p id="torch.nn.functional.pairwise_distance"/><a class="reference internal" href="generated/torch.nn.functional.pairwise_distance.html#torch.nn.functional.pairwise_distance" title="torch.nn.functional.pairwise_distance"><code class="xref py py-obj docutils literal notranslate"><span class="pre">pairwise_distance</span></code></a></p></td>
<td><p>See <a class="reference internal" href="generated/torch.nn.PairwiseDistance.html#torch.nn.PairwiseDistance" title="torch.nn.PairwiseDistance"><code class="xref py py-class docutils literal notranslate"><span class="pre">torch.nn.PairwiseDistance</span></code></a> for details</p></td>
</tr>
<tr class="row-even"><td><p><p id="torch.nn.functional.cosine_similarity"/><a class="reference internal" href="generated/torch.nn.functional.cosine_similarity.html#torch.nn.functional.cosine_similarity" title="torch.nn.functional.cosine_similarity"><code class="xref py py-obj docutils literal notranslate"><span class="pre">cosine_similarity</span></code></a></p></td>
<td><p>Returns cosine similarity between <code class="docutils literal notranslate"><span class="pre">x1</span></code> and <code class="docutils literal notranslate"><span class="pre">x2</span></code>, computed along dim.</p></td>
</tr>
<tr class="row-odd"><td><p><p id="torch.nn.functional.pdist"/><a class="reference internal" href="generated/torch.nn.functional.pdist.html#torch.nn.functional.pdist" title="torch.nn.functional.pdist"><code class="xref py py-obj docutils literal notranslate"><span class="pre">pdist</span></code></a></p></td>
<td><p>Computes the p-norm distance between every pair of row vectors in the input.</p></td>
</tr>
</tbody>
</table>
</div>
<div class="section" id="loss-functions">
<h2>Loss functions<a class="headerlink" href="#loss-functions" title="Permalink to this heading">¶</a></h2>
<table class="autosummary longtable docutils colwidths-auto align-default">
<tbody>
<tr class="row-odd"><td><p><p id="torch.nn.functional.binary_cross_entropy"/><a class="reference internal" href="generated/torch.nn.functional.binary_cross_entropy.html#torch.nn.functional.binary_cross_entropy" title="torch.nn.functional.binary_cross_entropy"><code class="xref py py-obj docutils literal notranslate"><span class="pre">binary_cross_entropy</span></code></a></p></td>
<td><p>Measure Binary Cross Entropy between the target and input probabilities.</p></td>
</tr>
<tr class="row-even"><td><p><p id="torch.nn.functional.binary_cross_entropy_with_logits"/><a class="reference internal" href="generated/torch.nn.functional.binary_cross_entropy_with_logits.html#torch.nn.functional.binary_cross_entropy_with_logits" title="torch.nn.functional.binary_cross_entropy_with_logits"><code class="xref py py-obj docutils literal notranslate"><span class="pre">binary_cross_entropy_with_logits</span></code></a></p></td>
<td><p>Calculate Binary Cross Entropy between target and input logits.</p></td>
</tr>
<tr class="row-odd"><td><p><p id="torch.nn.functional.poisson_nll_loss"/><a class="reference internal" href="generated/torch.nn.functional.poisson_nll_loss.html#torch.nn.functional.poisson_nll_loss" title="torch.nn.functional.poisson_nll_loss"><code class="xref py py-obj docutils literal notranslate"><span class="pre">poisson_nll_loss</span></code></a></p></td>
<td><p>Poisson negative log likelihood loss.</p></td>
</tr>
<tr class="row-even"><td><p><p id="torch.nn.functional.cosine_embedding_loss"/><a class="reference internal" href="generated/torch.nn.functional.cosine_embedding_loss.html#torch.nn.functional.cosine_embedding_loss" title="torch.nn.functional.cosine_embedding_loss"><code class="xref py py-obj docutils literal notranslate"><span class="pre">cosine_embedding_loss</span></code></a></p></td>
<td><p>See <a class="reference internal" href="generated/torch.nn.CosineEmbeddingLoss.html#torch.nn.CosineEmbeddingLoss" title="torch.nn.CosineEmbeddingLoss"><code class="xref py py-class docutils literal notranslate"><span class="pre">CosineEmbeddingLoss</span></code></a> for details.</p></td>
</tr>
<tr class="row-odd"><td><p><p id="torch.nn.functional.cross_entropy"/><a class="reference internal" href="generated/torch.nn.functional.cross_entropy.html#torch.nn.functional.cross_entropy" title="torch.nn.functional.cross_entropy"><code class="xref py py-obj docutils literal notranslate"><span class="pre">cross_entropy</span></code></a></p></td>
<td><p>Compute the cross entropy loss between input logits and target.</p></td>
</tr>
<tr class="row-even"><td><p><p id="torch.nn.functional.ctc_loss"/><a class="reference internal" href="generated/torch.nn.functional.ctc_loss.html#torch.nn.functional.ctc_loss" title="torch.nn.functional.ctc_loss"><code class="xref py py-obj docutils literal notranslate"><span class="pre">ctc_loss</span></code></a></p></td>
<td><p>Apply the Connectionist Temporal Classification loss.</p></td>
</tr>
<tr class="row-odd"><td><p><p id="torch.nn.functional.gaussian_nll_loss"/><a class="reference internal" href="generated/torch.nn.functional.gaussian_nll_loss.html#torch.nn.functional.gaussian_nll_loss" title="torch.nn.functional.gaussian_nll_loss"><code class="xref py py-obj docutils literal notranslate"><span class="pre">gaussian_nll_loss</span></code></a></p></td>
<td><p>Gaussian negative log likelihood loss.</p></td>
</tr>
<tr class="row-even"><td><p><p id="torch.nn.functional.hinge_embedding_loss"/><a class="reference internal" href="generated/torch.nn.functional.hinge_embedding_loss.html#torch.nn.functional.hinge_embedding_loss" title="torch.nn.functional.hinge_embedding_loss"><code class="xref py py-obj docutils literal notranslate"><span class="pre">hinge_embedding_loss</span></code></a></p></td>
<td><p>See <a class="reference internal" href="generated/torch.nn.HingeEmbeddingLoss.html#torch.nn.HingeEmbeddingLoss" title="torch.nn.HingeEmbeddingLoss"><code class="xref py py-class docutils literal notranslate"><span class="pre">HingeEmbeddingLoss</span></code></a> for details.</p></td>
</tr>
<tr class="row-odd"><td><p><p id="torch.nn.functional.kl_div"/><a class="reference internal" href="generated/torch.nn.functional.kl_div.html#torch.nn.functional.kl_div" title="torch.nn.functional.kl_div"><code class="xref py py-obj docutils literal notranslate"><span class="pre">kl_div</span></code></a></p></td>
<td><p>Compute the KL Divergence loss.</p></td>
</tr>
<tr class="row-even"><td><p><p id="torch.nn.functional.l1_loss"/><a class="reference internal" href="generated/torch.nn.functional.l1_loss.html#torch.nn.functional.l1_loss" title="torch.nn.functional.l1_loss"><code class="xref py py-obj docutils literal notranslate"><span class="pre">l1_loss</span></code></a></p></td>
<td><p>Function that takes the mean element-wise absolute value difference.</p></td>
</tr>
<tr class="row-odd"><td><p><p id="torch.nn.functional.mse_loss"/><a class="reference internal" href="generated/torch.nn.functional.mse_loss.html#torch.nn.functional.mse_loss" title="torch.nn.functional.mse_loss"><code class="xref py py-obj docutils literal notranslate"><span class="pre">mse_loss</span></code></a></p></td>
<td><p>Measures the element-wise mean squared error.</p></td>
</tr>
<tr class="row-even"><td><p><p id="torch.nn.functional.margin_ranking_loss"/><a class="reference internal" href="generated/torch.nn.functional.margin_ranking_loss.html#torch.nn.functional.margin_ranking_loss" title="torch.nn.functional.margin_ranking_loss"><code class="xref py py-obj docutils literal notranslate"><span class="pre">margin_ranking_loss</span></code></a></p></td>
<td><p>See <a class="reference internal" href="generated/torch.nn.MarginRankingLoss.html#torch.nn.MarginRankingLoss" title="torch.nn.MarginRankingLoss"><code class="xref py py-class docutils literal notranslate"><span class="pre">MarginRankingLoss</span></code></a> for details.</p></td>
</tr>
<tr class="row-odd"><td><p><p id="torch.nn.functional.multilabel_margin_loss"/><a class="reference internal" href="generated/torch.nn.functional.multilabel_margin_loss.html#torch.nn.functional.multilabel_margin_loss" title="torch.nn.functional.multilabel_margin_loss"><code class="xref py py-obj docutils literal notranslate"><span class="pre">multilabel_margin_loss</span></code></a></p></td>
<td><p>See <a class="reference internal" href="generated/torch.nn.MultiLabelMarginLoss.html#torch.nn.MultiLabelMarginLoss" title="torch.nn.MultiLabelMarginLoss"><code class="xref py py-class docutils literal notranslate"><span class="pre">MultiLabelMarginLoss</span></code></a> for details.</p></td>
</tr>
<tr class="row-even"><td><p><p id="torch.nn.functional.multilabel_soft_margin_loss"/><a class="reference internal" href="generated/torch.nn.functional.multilabel_soft_margin_loss.html#torch.nn.functional.multilabel_soft_margin_loss" title="torch.nn.functional.multilabel_soft_margin_loss"><code class="xref py py-obj docutils literal notranslate"><span class="pre">multilabel_soft_margin_loss</span></code></a></p></td>
<td><p>See <a class="reference internal" href="generated/torch.nn.MultiLabelSoftMarginLoss.html#torch.nn.MultiLabelSoftMarginLoss" title="torch.nn.MultiLabelSoftMarginLoss"><code class="xref py py-class docutils literal notranslate"><span class="pre">MultiLabelSoftMarginLoss</span></code></a> for details.</p></td>
</tr>
<tr class="row-odd"><td><p><p id="torch.nn.functional.multi_margin_loss"/><a class="reference internal" href="generated/torch.nn.functional.multi_margin_loss.html#torch.nn.functional.multi_margin_loss" title="torch.nn.functional.multi_margin_loss"><code class="xref py py-obj docutils literal notranslate"><span class="pre">multi_margin_loss</span></code></a></p></td>
<td><p>See <a class="reference internal" href="generated/torch.nn.MultiMarginLoss.html#torch.nn.MultiMarginLoss" title="torch.nn.MultiMarginLoss"><code class="xref py py-class docutils literal notranslate"><span class="pre">MultiMarginLoss</span></code></a> for details.</p></td>
</tr>
<tr class="row-even"><td><p><p id="torch.nn.functional.nll_loss"/><a class="reference internal" href="generated/torch.nn.functional.nll_loss.html#torch.nn.functional.nll_loss" title="torch.nn.functional.nll_loss"><code class="xref py py-obj docutils literal notranslate"><span class="pre">nll_loss</span></code></a></p></td>
<td><p>Compute the negative log likelihood loss.</p></td>
</tr>
<tr class="row-odd"><td><p><p id="torch.nn.functional.huber_loss"/><a class="reference internal" href="generated/torch.nn.functional.huber_loss.html#torch.nn.functional.huber_loss" title="torch.nn.functional.huber_loss"><code class="xref py py-obj docutils literal notranslate"><span class="pre">huber_loss</span></code></a></p></td>
<td><p>Compute the Huber loss.</p></td>
</tr>
<tr class="row-even"><td><p><p id="torch.nn.functional.smooth_l1_loss"/><a class="reference internal" href="generated/torch.nn.functional.smooth_l1_loss.html#torch.nn.functional.smooth_l1_loss" title="torch.nn.functional.smooth_l1_loss"><code class="xref py py-obj docutils literal notranslate"><span class="pre">smooth_l1_loss</span></code></a></p></td>
<td><p>Compute the Smooth L1 loss.</p></td>
</tr>
<tr class="row-odd"><td><p><p id="torch.nn.functional.soft_margin_loss"/><a class="reference internal" href="generated/torch.nn.functional.soft_margin_loss.html#torch.nn.functional.soft_margin_loss" title="torch.nn.functional.soft_margin_loss"><code class="xref py py-obj docutils literal notranslate"><span class="pre">soft_margin_loss</span></code></a></p></td>
<td><p>See <a class="reference internal" href="generated/torch.nn.SoftMarginLoss.html#torch.nn.SoftMarginLoss" title="torch.nn.SoftMarginLoss"><code class="xref py py-class docutils literal notranslate"><span class="pre">SoftMarginLoss</span></code></a> for details.</p></td>
</tr>
<tr class="row-even"><td><p><p id="torch.nn.functional.triplet_margin_loss"/><a class="reference internal" href="generated/torch.nn.functional.triplet_margin_loss.html#torch.nn.functional.triplet_margin_loss" title="torch.nn.functional.triplet_margin_loss"><code class="xref py py-obj docutils literal notranslate"><span class="pre">triplet_margin_loss</span></code></a></p></td>
<td><p>Compute the triplet loss between given input tensors and a margin greater than 0.</p></td>
</tr>
<tr class="row-odd"><td><p><p id="torch.nn.functional.triplet_margin_with_distance_loss"/><a class="reference internal" href="generated/torch.nn.functional.triplet_margin_with_distance_loss.html#torch.nn.functional.triplet_margin_with_distance_loss" title="torch.nn.functional.triplet_margin_with_distance_loss"><code class="xref py py-obj docutils literal notranslate"><span class="pre">triplet_margin_with_distance_loss</span></code></a></p></td>
<td><p>Compute the triplet margin loss for input tensors using a custom distance function.</p></td>
</tr>
</tbody>
</table>
</div>
<div class="section" id="vision-functions">
<h2>Vision functions<a class="headerlink" href="#vision-functions" title="Permalink to this heading">¶</a></h2>
<table class="autosummary longtable docutils colwidths-auto align-default">
<tbody>
<tr class="row-odd"><td><p><p id="torch.nn.functional.pixel_shuffle"/><a class="reference internal" href="generated/torch.nn.functional.pixel_shuffle.html#torch.nn.functional.pixel_shuffle" title="torch.nn.functional.pixel_shuffle"><code class="xref py py-obj docutils literal notranslate"><span class="pre">pixel_shuffle</span></code></a></p></td>
<td><p>Rearranges elements in a tensor of shape <span class="math"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mo stretchy="false">(</mo><mo>∗</mo><mo separator="true">,</mo><mi>C</mi><mo>×</mo><msup><mi>r</mi><mn>2</mn></msup><mo separator="true">,</mo><mi>H</mi><mo separator="true">,</mo><mi>W</mi><mo stretchy="false">)</mo></mrow><annotation encoding="application/x-tex">(*, C \times r^2, H, W)</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mopen">(</span><span class="mord">∗</span><span class="mpunct">,</span><span class="mspace" style="margin-right:0.1667em;"></span><span class="mord mathnormal" style="margin-right:0.07153em;">C</span><span class="mspace" style="margin-right:0.2222em;"></span><span class="mbin">×</span><span class="mspace" style="margin-right:0.2222em;"></span></span><span class="base"><span class="strut" style="height:1.0641em;vertical-align:-0.25em;"></span><span class="mord"><span class="mord mathnormal" style="margin-right:0.02778em;">r</span><span class="msupsub"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:0.8141em;"><span style="top:-3.063em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">2</span></span></span></span></span></span></span></span><span class="mpunct">,</span><span class="mspace" style="margin-right:0.1667em;"></span><span class="mord mathnormal" style="margin-right:0.08125em;">H</span><span class="mpunct">,</span><span class="mspace" style="margin-right:0.1667em;"></span><span class="mord mathnormal" style="margin-right:0.13889em;">W</span><span class="mclose">)</span></span></span></span></span> to a tensor of shape <span class="math"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mo stretchy="false">(</mo><mo>∗</mo><mo separator="true">,</mo><mi>C</mi><mo separator="true">,</mo><mi>H</mi><mo>×</mo><mi>r</mi><mo separator="true">,</mo><mi>W</mi><mo>×</mo><mi>r</mi><mo stretchy="false">)</mo></mrow><annotation encoding="application/x-tex">(*, C, H \times r, W \times r)</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mopen">(</span><span class="mord">∗</span><span class="mpunct">,</span><span class="mspace" style="margin-right:0.1667em;"></span><span class="mord mathnormal" style="margin-right:0.07153em;">C</span><span class="mpunct">,</span><span class="mspace" style="margin-right:0.1667em;"></span><span class="mord mathnormal" style="margin-right:0.08125em;">H</span><span class="mspace" style="margin-right:0.2222em;"></span><span class="mbin">×</span><span class="mspace" style="margin-right:0.2222em;"></span></span><span class="base"><span class="strut" style="height:0.8778em;vertical-align:-0.1944em;"></span><span class="mord mathnormal" style="margin-right:0.02778em;">r</span><span class="mpunct">,</span><span class="mspace" style="margin-right:0.1667em;"></span><span class="mord mathnormal" style="margin-right:0.13889em;">W</span><span class="mspace" style="margin-right:0.2222em;"></span><span class="mbin">×</span><span class="mspace" style="margin-right:0.2222em;"></span></span><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mord mathnormal" style="margin-right:0.02778em;">r</span><span class="mclose">)</span></span></span></span></span>, where r is the <code class="xref py py-attr docutils literal notranslate"><span class="pre">upscale_factor</span></code>.</p></td>
</tr>
<tr class="row-even"><td><p><p id="torch.nn.functional.pixel_unshuffle"/><a class="reference internal" href="generated/torch.nn.functional.pixel_unshuffle.html#torch.nn.functional.pixel_unshuffle" title="torch.nn.functional.pixel_unshuffle"><code class="xref py py-obj docutils literal notranslate"><span class="pre">pixel_unshuffle</span></code></a></p></td>
<td><p>Reverses the <a class="reference internal" href="generated/torch.nn.PixelShuffle.html#torch.nn.PixelShuffle" title="torch.nn.PixelShuffle"><code class="xref py py-class docutils literal notranslate"><span class="pre">PixelShuffle</span></code></a> operation by rearranging elements in a tensor of shape <span class="math"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mo stretchy="false">(</mo><mo>∗</mo><mo separator="true">,</mo><mi>C</mi><mo separator="true">,</mo><mi>H</mi><mo>×</mo><mi>r</mi><mo separator="true">,</mo><mi>W</mi><mo>×</mo><mi>r</mi><mo stretchy="false">)</mo></mrow><annotation encoding="application/x-tex">(*, C, H \times r, W \times r)</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mopen">(</span><span class="mord">∗</span><span class="mpunct">,</span><span class="mspace" style="margin-right:0.1667em;"></span><span class="mord mathnormal" style="margin-right:0.07153em;">C</span><span class="mpunct">,</span><span class="mspace" style="margin-right:0.1667em;"></span><span class="mord mathnormal" style="margin-right:0.08125em;">H</span><span class="mspace" style="margin-right:0.2222em;"></span><span class="mbin">×</span><span class="mspace" style="margin-right:0.2222em;"></span></span><span class="base"><span class="strut" style="height:0.8778em;vertical-align:-0.1944em;"></span><span class="mord mathnormal" style="margin-right:0.02778em;">r</span><span class="mpunct">,</span><span class="mspace" style="margin-right:0.1667em;"></span><span class="mord mathnormal" style="margin-right:0.13889em;">W</span><span class="mspace" style="margin-right:0.2222em;"></span><span class="mbin">×</span><span class="mspace" style="margin-right:0.2222em;"></span></span><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mord mathnormal" style="margin-right:0.02778em;">r</span><span class="mclose">)</span></span></span></span></span> to a tensor of shape <span class="math"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mo stretchy="false">(</mo><mo>∗</mo><mo separator="true">,</mo><mi>C</mi><mo>×</mo><msup><mi>r</mi><mn>2</mn></msup><mo separator="true">,</mo><mi>H</mi><mo separator="true">,</mo><mi>W</mi><mo stretchy="false">)</mo></mrow><annotation encoding="application/x-tex">(*, C \times r^2, H, W)</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mopen">(</span><span class="mord">∗</span><span class="mpunct">,</span><span class="mspace" style="margin-right:0.1667em;"></span><span class="mord mathnormal" style="margin-right:0.07153em;">C</span><span class="mspace" style="margin-right:0.2222em;"></span><span class="mbin">×</span><span class="mspace" style="margin-right:0.2222em;"></span></span><span class="base"><span class="strut" style="height:1.0641em;vertical-align:-0.25em;"></span><span class="mord"><span class="mord mathnormal" style="margin-right:0.02778em;">r</span><span class="msupsub"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:0.8141em;"><span style="top:-3.063em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">2</span></span></span></span></span></span></span></span><span class="mpunct">,</span><span class="mspace" style="margin-right:0.1667em;"></span><span class="mord mathnormal" style="margin-right:0.08125em;">H</span><span class="mpunct">,</span><span class="mspace" style="margin-right:0.1667em;"></span><span class="mord mathnormal" style="margin-right:0.13889em;">W</span><span class="mclose">)</span></span></span></span></span>, where r is the <code class="xref py py-attr docutils literal notranslate"><span class="pre">downscale_factor</span></code>.</p></td>
</tr>
<tr class="row-odd"><td><p><p id="torch.nn.functional.pad"/><a class="reference internal" href="generated/torch.nn.functional.pad.html#torch.nn.functional.pad" title="torch.nn.functional.pad"><code class="xref py py-obj docutils literal notranslate"><span class="pre">pad</span></code></a></p></td>
<td><p>Pads tensor.</p></td>
</tr>
<tr class="row-even"><td><p><p id="torch.nn.functional.interpolate"/><a class="reference internal" href="generated/torch.nn.functional.interpolate.html#torch.nn.functional.interpolate" title="torch.nn.functional.interpolate"><code class="xref py py-obj docutils literal notranslate"><span class="pre">interpolate</span></code></a></p></td>
<td><p>Down/up samples the input.</p></td>
</tr>
<tr class="row-odd"><td><p><p id="torch.nn.functional.upsample"/><a class="reference internal" href="generated/torch.nn.functional.upsample.html#torch.nn.functional.upsample" title="torch.nn.functional.upsample"><code class="xref py py-obj docutils literal notranslate"><span class="pre">upsample</span></code></a></p></td>
<td><p>Upsample input.</p></td>
</tr>
<tr class="row-even"><td><p><p id="torch.nn.functional.upsample_nearest"/><a class="reference internal" href="generated/torch.nn.functional.upsample_nearest.html#torch.nn.functional.upsample_nearest" title="torch.nn.functional.upsample_nearest"><code class="xref py py-obj docutils literal notranslate"><span class="pre">upsample_nearest</span></code></a></p></td>
<td><p>Upsamples the input, using nearest neighbours' pixel values.</p></td>
</tr>
<tr class="row-odd"><td><p><p id="torch.nn.functional.upsample_bilinear"/><a class="reference internal" href="generated/torch.nn.functional.upsample_bilinear.html#torch.nn.functional.upsample_bilinear" title="torch.nn.functional.upsample_bilinear"><code class="xref py py-obj docutils literal notranslate"><span class="pre">upsample_bilinear</span></code></a></p></td>
<td><p>Upsamples the input, using bilinear upsampling.</p></td>
</tr>
<tr class="row-even"><td><p><p id="torch.nn.functional.grid_sample"/><a class="reference internal" href="generated/torch.nn.functional.grid_sample.html#torch.nn.functional.grid_sample" title="torch.nn.functional.grid_sample"><code class="xref py py-obj docutils literal notranslate"><span class="pre">grid_sample</span></code></a></p></td>
<td><p>Compute grid sample.</p></td>
</tr>
<tr class="row-odd"><td><p><p id="torch.nn.functional.affine_grid"/><a class="reference internal" href="generated/torch.nn.functional.affine_grid.html#torch.nn.functional.affine_grid" title="torch.nn.functional.affine_grid"><code class="xref py py-obj docutils literal notranslate"><span class="pre">affine_grid</span></code></a></p></td>
<td><p>Generate 2D or 3D flow field (sampling grid), given a batch of affine matrices <code class="xref py py-attr docutils literal notranslate"><span class="pre">theta</span></code>.</p></td>
</tr>
</tbody>
</table>
</div>
<div class="section" id="dataparallel-functions-multi-gpu-distributed">
<h2>DataParallel functions (multi-GPU, distributed)<a class="headerlink" href="#dataparallel-functions-multi-gpu-distributed" title="Permalink to this heading">¶</a></h2>
<div class="section" id="data-parallel">
<h3><span class="hidden-section">data_parallel</span><a class="headerlink" href="#data-parallel" title="Permalink to this heading">¶</a></h3>
<table class="autosummary longtable docutils colwidths-auto align-default">
<tbody>
<tr class="row-odd"><td><p><code class="xref py py-obj docutils literal notranslate"><span class="pre">torch.nn.parallel.data_parallel</span></code></p></td>
<td><p>Evaluate module(input) in parallel across the GPUs given in device_ids.</p></td>
</tr>
</tbody>
</table>
</div>
</div>
</div>
</article>
</div>
<footer>
<div class="rst-footer-buttons" role="navigation" aria-label="footer navigation">
<a href="generated/torch.nn.functional.conv1d.html" class="btn btn-neutral float-right" title="torch.nn.functional.conv1d" accesskey="n" rel="next">Next <img src="_static/images/chevron-right-orange.svg" class="next-page"></a>
<a href="generated/torch.nn.modules.lazy.LazyModuleMixin.html" class="btn btn-neutral" title="LazyModuleMixin" accesskey="p" rel="prev"><img src="_static/images/chevron-right-orange.svg" class="previous-page"> Previous</a>
</div>
<hr>
<div role="contentinfo">
<p>
© Copyright 2023, PyTorch Contributors.
</p>
</div>
<div>
Built with <a href="http://sphinx-doc.org/">Sphinx</a> using a <a href="https://github.com/rtfd/sphinx_rtd_theme">theme</a> provided by <a href="https://readthedocs.org">Read the Docs</a>.
</div>
</footer>
</div>
<script>
var match = window.location.href.match(/\/_[a-zA-Z0-9_]*.html|_dynamo/gi);
var url = window.location.href.lastIndexOf(match[match.length-1]);
if (url)
{
var div = '<div class="admonition note"><p class="admonition-title">Note</p><p><i class="fa fa-exclamation-circle" aria-hidden="true"> </i> This page describes an internal API which is not intended to be used outside of the PyTorch codebase and can be modified or removed without notice.</p></div>'
document.getElementById("pytorch-article").insertAdjacentHTML('afterBegin', div)
}
</script>
</div>
<div class="pytorch-content-right" id="pytorch-content-right">
<div class="pytorch-right-menu" id="pytorch-right-menu">
<div class="pytorch-side-scroll" id="pytorch-side-scroll-right">
<ul>
<li><a class="reference internal" href="#">torch.nn.functional</a><ul>
<li><a class="reference internal" href="#convolution-functions">Convolution functions</a></li>
<li><a class="reference internal" href="#pooling-functions">Pooling functions</a></li>
<li><a class="reference internal" href="#attention-mechanisms">Attention Mechanisms</a></li>
<li><a class="reference internal" href="#non-linear-activation-functions">Non-linear activation functions</a></li>
<li><a class="reference internal" href="#linear-functions">Linear functions</a></li>
<li><a class="reference internal" href="#dropout-functions">Dropout functions</a></li>
<li><a class="reference internal" href="#sparse-functions">Sparse functions</a></li>
<li><a class="reference internal" href="#distance-functions">Distance functions</a></li>
<li><a class="reference internal" href="#loss-functions">Loss functions</a></li>
<li><a class="reference internal" href="#vision-functions">Vision functions</a></li>
<li><a class="reference internal" href="#dataparallel-functions-multi-gpu-distributed">DataParallel functions (multi-GPU, distributed)</a><ul>
<li><a class="reference internal" href="#data-parallel"><span class="hidden-section">data_parallel</span></a></li>
</ul>
</li>
</ul>
</li>
</ul>
</div>
</div>
</div>
</section>
</div>
<script type="text/javascript" id="documentation_options" data-url_root="./" src="_static/documentation_options.js"></script>
<script data-url_root="./" id="documentation_options" src="_static/documentation_options.js"></script>
<script src="_static/jquery.js"></script>
<script src="_static/underscore.js"></script>
<script src="_static/_sphinx_javascript_frameworks_compat.js"></script>
<script src="_static/doctools.js"></script>
<script src="_static/sphinx_highlight.js"></script>
<script src="_static/clipboard.min.js"></script>
<script src="_static/copybutton.js"></script>
<script type="text/javascript" src="_static/js/vendor/popper.min.js"></script>
<script type="text/javascript" src="_static/js/vendor/bootstrap.min.js"></script>
<script src="https://cdnjs.cloudflare.com/ajax/libs/list.js/1.5.0/list.min.js"></script>
<script type="text/javascript" src="_static/js/theme.js"></script>
<script type="text/javascript">
jQuery(function () {
SphinxRtdTheme.Navigation.enable(true);
});
</script>
<script script type="text/javascript">
var collapsedSections = ['Developer Notes', 'Language Bindings', 'Libraries', 'Community'];
</script>
<img height="1" width="1" style="border-style:none;" alt="" src="https://www.googleadservices.com/pagead/conversion/795629140/?label=txkmCPmdtosBENSssfsC&guid=ON&script=0"/>