Presentation 2020-01-09
Real Log Canonical Threshold of Three Layered Neural Network with Swish Activation Function
Raiki Tanaka, Sumio Watanabe,
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Abstract(in Japanese) (See Japanese page)
Abstract(in English) In neural network learning, it is known that selection of activation function effects generalization performance. Although a ReLU function is often employed in many applications, a new Swish function was found by reinforcement learning by Google Brain team. It is experimentally shown that neural newtorks using Swith function have better performance than other activation functions in image recognition and machine translation. However, the theoretical property of Swith function has not yet been studied. In this paper, we derive the real log canonical threshold of Swith function using algebraic geomeric method, and clafiy the generalization error and the free energy in Bayesian estimation.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) Bayesian Learning / Neural Network / Real Log Canonical Threshold / Bayesian Generalization Error / Free Energy
Paper # IBISML2019-19
Date of Issue 2020-01-02 (IBISML)

Conference Information
Committee IBISML
Conference Date 2020/1/9(2days)
Place (in Japanese) (See Japanese page)
Place (in English) ISM
Topics (in Japanese) (See Japanese page)
Topics (in English) Machine learning, etc.
Chair Hisashi Kashima(Kyoto Univ.)
Vice Chair Masashi Sugiyama(Univ. of Tokyo) / Koji Tsuda(Univ. of Tokyo)
Secretary Masashi Sugiyama(Nagoya Inst. of Tech.) / Koji Tsuda(AIST)
Assistant Tomoharu Iwata(NTT) / Shigeyuki Oba(Kyoto Univ.)

Paper Information
Registration To Technical Committee on Infomation-Based Induction Sciences and Machine Learning
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Real Log Canonical Threshold of Three Layered Neural Network with Swish Activation Function
Sub Title (in English)
Keyword(1) Bayesian Learning
Keyword(2) Neural Network
Keyword(3) Real Log Canonical Threshold
Keyword(4) Bayesian Generalization Error
Keyword(5) Free Energy
1st Author's Name Raiki Tanaka
1st Author's Affiliation Tokyo Institute of Technology(Tokyo Tech)
2nd Author's Name Sumio Watanabe
2nd Author's Affiliation Tokyo Institute of Technology(Tokyo Tech)
Date 2020-01-09
Paper # IBISML2019-19
Volume (vol) vol.119
Number (no) IBISML-360
Page pp.pp.9-15(IBISML),
#Pages 7
Date of Issue 2020-01-02 (IBISML)