Presentation 2019-11-28
A Multiplication by a Neural Network (NN) with Power Activations and a Polynomial Enclosure for a NN with Parametric ReLU Functions
Kazuya Ozawa, Kaito Isogai, Toshihiro Tachibana, Hideo Nakano, Hideaki Okazaki,
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Abstract(in Japanese) (See Japanese page)
Abstract(in English) Since a series of successes of Deep neural networks (DNNs) with rectified linear units (ReLUs), many approximations by NNs with ReLUs, parametric rectified linear units (PReLUs), or rectified power units (RePUs) have been focused on. However how to obtain the parameters of NNs with PReLUs, approximating polynomials, have not been fully discussed. In this paper for finding such parameters, a multiplication of NNs with n-th power (P) activation and a polynomial enclosure of NN with PReLUs are discussed.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) Parametric rectified linear units / Neural Network / Polynomial function enclosure
Paper # CAS2019-49,MSS2019-28
Date of Issue 2019-11-21 (CAS, MSS)

Conference Information
Committee CAS / MSS / IPSJ-AL
Conference Date 2019/11/28(2days)
Place (in Japanese) (See Japanese page)
Place (in English)
Topics (in Japanese) (See Japanese page)
Topics (in English)
Chair Taizo Yamawaki(Hitachi) / Shigemasa Takai(Osaka Univ.) / 瀧本 英二(九大)
Vice Chair Yasuhiro Takashima(Univ. of Kitakyushu) / Atsuo Ozaki(Osaka Inst. of Tech.)
Secretary Yasuhiro Takashima(Hitachi) / Atsuo Ozaki(Yamanashi Univ.) / (Osaka Univ.)
Assistant Hiroki Sato(Sony LSI Design) / Motoi Yamaguchi(Renesas Electronics) / Naoki Hayashi(Osaka Univ.)

Paper Information
Registration To Technical Committee on Circuits and Systems / Technical Committee on Mathematical Systems Science and its applications / Special Interest Group on Algorithms
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) A Multiplication by a Neural Network (NN) with Power Activations and a Polynomial Enclosure for a NN with Parametric ReLU Functions
Sub Title (in English)
Keyword(1) Parametric rectified linear units
Keyword(2) Neural Network
Keyword(3) Polynomial function enclosure
1st Author's Name Kazuya Ozawa
1st Author's Affiliation Shonan Institute of Technology(SIT)
2nd Author's Name Kaito Isogai
2nd Author's Affiliation Shonan Institute of Technology(SIT)
3rd Author's Name Toshihiro Tachibana
3rd Author's Affiliation Shonan Institute of Technology(SIT)
4th Author's Name Hideo Nakano
4th Author's Affiliation Shonan Institute of Technology(SIT)
5th Author's Name Hideaki Okazaki
5th Author's Affiliation Shonan Institute of Technology(SIT)
Date 2019-11-28
Paper # CAS2019-49,MSS2019-28
Volume (vol) vol.119
Number (no) CAS-313,MSS-314
Page pp.pp.27-32(CAS), pp.27-32(MSS),
#Pages 6
Date of Issue 2019-11-21 (CAS, MSS)