Presentation 2018-06-14
On an approximated polynomial function by a Deep Neural Network
Kazuya Ozawa, Toshihiro Tachibana, Hideo Nakano, Hideaki Okazaki,
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Abstract(in Japanese) (See Japanese page)
Abstract(in English) In order to approximate a bivariate polynomial function used in a bivariate fractal interpolation method , and to realize bivariate fractal interpolation surface by a deep neural network with rectified linear units (ReLU DNN), we discuss bivariate polynomial function approximations using ReLU DNN by the gradient descent method. In conclusion, we summarize the principal results and describe future research.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) Bivariate fractal interpolation method / Neural Network / Polynomial approximation
Paper # CAS2018-3,VLD2018-6,SIP2018-23,MSS2018-3
Date of Issue 2018-06-07 (CAS, VLD, SIP, MSS)

Conference Information
Committee CAS / SIP / MSS / VLD
Conference Date 2018/6/14(2days)
Place (in Japanese) (See Japanese page)
Place (in English) Hokkaido Univ. (Frontier Research in Applied Sciences Build.)
Topics (in Japanese) (See Japanese page)
Topics (in English) System and Signal Processing, etc
Chair Hideaki Okazaki(Shonan Inst. of Tech.) / Shogo Muramatsu(Niigata Univ.) / Morikazu Nakamura(Univ. of Ryukyus) / Noriyuki Minegishi(Mitsubishi Electric)
Vice Chair Taizo Yamawaki(Hitachi) / Naoyuki Aikawa(TUS) / Kazunori Hayashi(Osaka City Univ) / Shigemasa Takai(Osaka Univ.) / Nozomu Togawa(Waseda Univ.)
Secretary Taizo Yamawaki(Shonan Inst. of Tech.) / Naoyuki Aikawa(Hitachi) / Kazunori Hayashi(Takushoku Univ.) / Shigemasa Takai(Hiroshima Univ.) / Nozomu Togawa(Toshiba)
Assistant Motoi Yamaguchi(Renesas Electronics) / / Hideki Kinjo(Okinawa Univ.)

Paper Information
Registration To Technical Committee on Circuits and Systems / Technical Committee on Signal Processing / Technical Committee on Mathematical Systems Science and its applications / Technical Committee on VLSI Design Technologies
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) On an approximated polynomial function by a Deep Neural Network
Sub Title (in English)
Keyword(1) Bivariate fractal interpolation method
Keyword(2) Neural Network
Keyword(3) Polynomial approximation
1st Author's Name Kazuya Ozawa
1st Author's Affiliation Shonan Institute of Technology(SIT)
2nd Author's Name Toshihiro Tachibana
2nd Author's Affiliation Shonan Institute of Technology(SIT)
3rd Author's Name Hideo Nakano
3rd Author's Affiliation Shonan Institute of Technology(SIT)
4th Author's Name Hideaki Okazaki
4th Author's Affiliation Shonan Institute of Technology(SIT)
Date 2018-06-14
Paper # CAS2018-3,VLD2018-6,SIP2018-23,MSS2018-3
Volume (vol) vol.118
Number (no) CAS-82,VLD-83,SIP-84,MSS-85
Page pp.pp.11-15(CAS), pp.11-15(VLD), pp.11-15(SIP), pp.11-15(MSS),
#Pages 5
Date of Issue 2018-06-07 (CAS, VLD, SIP, MSS)