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?m?????????n?V?O???C?h???iSigmoid function?j?Ƃ́H?FAI?E?@?B?w?K?̗p?ꎫ?T
?p??u?V?O???C?h???iSigmoid function?j?v?ɂ??Đ????B???W?_?i0, 0.5?j????_?i?ϋȓ_?j?Ƃ??ē_?Ώ̂ƂȂ?S???^?̊??炩?ȋȐ??ŁA?u0?v?`?u1?v?̊Ԃ̒l??Ԃ??A?j???[?????l?b?g???[?N?̊??????????w???B
???̋L???͉??????ł??B????o?^?i?????j????ƑS?Ă????????????܂??B
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?@AI?^?@?B?w?K???j???[?????l?b?g???[?N?ɂ??????V?O???C?h???iSigmoid function?A?????ɂ??W???V?O???C?h???FStandard sigmoid function?j?Ƃ́A????????͒l??0.0?`1.0?͈̔͂̐??l?ɕϊ????ďo?͂?????ł???B
?@?}1?Ɏ????悤?ɁA???W?_(0, 0.5)????_?i?ϋȓ_?j?Ƃ??ē_?Ώ̂ŁAS?i??ς?F?V?O?}?j???^?Ȑ??̃O???t?ɂȂ邽?߁A?u?V?O???C?h???v?ƌĂ??B
?@?j???[?????l?b?g???[?N?̊?b?ƂȂ??Ă????????f???u?p?[?Z?v?g?????v?i???????j?ł́u?X?e?b?v???v?Ƃ??????????????p?????Ă????B???????A?u?o?b?N?v???p?Q?[?V?????v?i???????j???o?ꂵ?Ă???́i?{?e?ʼn?????Ă???j?u?V?O???C?h???v???????????Ƃ??Ďg????悤?ɂȂ????B????ɁA?ŋ߂??f?B?[?v?j???[?????l?b?g???[?N?ł́uReLU?v???悭?g????悤?ɂȂ??Ă???B
?@?o?b?N?v???p?Q?[?V?????̏????ߒ??ł́A?u?????v????????邱?ƂɂȂ?B???̍ۂ́A?????̌v?Z???ڂ̈?ł???u?\???l?v?́A??????????ʂ??Čv?Z?????B???̂??߁A?????ł??Ȃ??X?e?b?v???̑???ɁA?????\?idifferentiable?j?ȁu?V?O???C?h???v???????????Ƃ??č̗p???ꂽ?Ƃ????킯?ł???B
?@?V?O???C?h???͌??݂ł́A??ɕ??ޖ??i??l?j?ɂ?????o?͑w?̊????????Ƃ??ėp??????B???̏ꍇ?A???????ɂ́i??{?I?Ɂj?????G???g???s?[?iCross entropy?A???????j???p??????B
?@??v???C?u?????ł́A???̊??^?N???X?Œ?`????Ă???B
- TensorFlow?i2.x?j?^Keras?F sigmoid()???Ȃ?
- PyTorch?F Sigmoid ?N???X?Ȃ?
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?@e?́u?I?C???[???v*1?iEuler's number???l?C?s?A???FNapier's constant?A???R?ΐ??̒??j?ƌĂ?鐔?w?萔?̈?ŁA??2.718281?c?Ƃ??????????i???????_?ȉ????????ɑ??????j?ł???B?I?C???[???́A?????v?Z?????₷???Ƃ????????b?g??????B??̓I?ɏ?L?̐??????????iDerivative function?F?????W???̊??j?????߂?ƁA???̂悤?ɔ??ɃV???v???Ȏ??ɂȂ?B
*1?@???Ĕ?Ȃ?p??ɁA?I?C???[?E?}?X?P???[?j?萔?iEuler-Mascheroni constant?A?I?C???[?̒萔?j?u???v??????̂ŁA???????Ȃ??悤?ɒ??ӂ??Ăق????B?{?e?ł?Euler's number??e?????ѕt???悤?Ɂu?I?C???[???v?ƕ\?L???????A???{?ł́u?l?C?s?A???v?ƌĂԕ?????ʓI?ł???B
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?@???Ȃ݂ɖ`???ł??????????悤?ɁA??L?̐????A?܂?j???[?????l?b?g???[?N?ɂ?????V?O???C?h???Ƃ́A?????ɂ́u?W???V?O???C?h???v?Ƃ???????ȃV?O???C?h???̂??Ƃ??w???i?܂??A?u?W?????W?X?e?B?b?N???FStandard logistic function?v?ƌĂ?邱?Ƃ?????j?B?Q?l?܂łɁA??ʓI?ȃV?O???C?h???̎????????ƁA???L?̂悤?ɕ\????邱?Ƃɒ??ӂ??Ăق????B
?@?I?C???[??e?̎w???ɌW??a???lj?????Ă???Ƃ????Ⴂ??????Ba?́u?Q?C???igain?j?v?ƌĂ?A0???傫?????l???w??ł???B?Q?C???̒l?ɂ???āAS???̃J?[?u???????Ȃ?????ɂ??Ȃ????肷??B?W???V?O???C?h???Ƃ́A???̃Q?C????a??1?Ƃ????u????ȏ?Ԃ̃V?O???C?h???v???w???̂ł???B
Python?R?[?h
?@??L?̕W???V?O???C?h???̐?????Python?R?[?h?̊??ɂ???ƃ??X?g1?̂悤?ɂȂ?B
import numpy as np
def sigmoid(x):
return 1.0 / (1.0 + np.exp(-x))
?@?I?C???[???ŊȒP?Ɍv?Z???邽?߁A???C?u?????uNumPy?v???C???|?[?g???Ă???Bnp.exp(-x)?Ƃ????R?[?h??e?|x?Ƃ?????????\?????Ă???Bexp?́Ae?i?I?C???[???j???ibase?j?Ƃ????w?????iexponential function?j???Ӗ?????B???Ȃ݂ɃI?C???[???i???l?C?s?A???j???̂?np.e?Ŏ擾?\?ł???B
?@?V?O???C?h???̓????iderivative function?j??Python?R?[?h???????Ă????ƁA???X?g2?̂悤?ɂȂ?B
# ?????X?g1?̃R?[?h???ɋL?q????K?v??????
def der_sigmoid(x):
return sigmoid(x) * (1.0 - sigmoid(x))
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