Presentation 2020-11-26
On an approximating polynomials by a Pseudo Residual Neural Network with a Power Activation Function
Kazuya Ozawa, Kaito Isogai, 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, or rectified power units (RePUs) have been focused on. Further deep residual networks have emerged as a family of extremely deep architectures showing compelling accuracy and nice convergence behaviors, when using identity mappings as the skip connections and after-addition activation. In this paper, approximating polynomials by a pseudo residual network (PResN) such as a NN with power units (PUs) ? a NN with ReLUs + another NN with ReLUs when using identity mappings as the skip connections of the former NN with PUs and after-addition activation, is discussed.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) Neural Network / Residual network / pseudo residual network, / Polynomial function enclosure
Paper # CAS2020-31,MSS2020-23
Date of Issue 2020-11-18 (CAS, MSS)

Conference Information
Committee MSS / CAS / IPSJ-AL
Conference Date 2020/11/25(2days)
Place (in Japanese) (See Japanese page)
Place (in English) Online
Topics (in Japanese) (See Japanese page)
Topics (in English)
Chair Shigemasa Takai(Osaka Univ.) / Yasuhiro Takashima(Univ. of Kitakyushu)
Vice Chair Atsuo Ozaki(Osaka Inst. of Tech.) / Hiroki Sato(Sony LSI Design)
Secretary Atsuo Ozaki(Setsunan Univ.) / Hiroki Sato(Hokkaido Univ.) / (Yamanashi Univ.)
Assistant Naoki Hayashi(Osaka Univ.) / Motoi Yamaguchi(TECHNOPRO) / Yohei Nakamura(Hitachi)

Paper Information
Registration To Technical Committee on Mathematical Systems Science and its applications / Technical Committee on Circuits and Systems / Special Interest Group on Algorithms
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) On an approximating polynomials by a Pseudo Residual Neural Network with a Power Activation Function
Sub Title (in English)
Keyword(1) Neural Network
Keyword(2) Residual network
Keyword(3) pseudo residual network,
Keyword(4) Polynomial function enclosure
1st Author's Name Kazuya Ozawa
1st Author's Affiliation Shonan Institute of Technology(Shonan Inst. Tech)
2nd Author's Name Kaito Isogai
2nd Author's Affiliation Shonan Institute of Technology(Shonan Inst. Tech)
3rd Author's Name Hideaki Okazaki
3rd Author's Affiliation Shonan Institute of Technology(Shonan Inst. Tech)
Date 2020-11-26
Paper # CAS2020-31,MSS2020-23
Volume (vol) vol.120
Number (no) CAS-245,MSS-246
Page pp.pp.68-72(CAS), pp.68-72(MSS),
#Pages 5
Date of Issue 2020-11-18 (CAS, MSS)