Presentation 2023-02-22
Probabilistic Approach towards Theoretical Understanding for Adversarial Training
Soichiro Kumano, Hiroshi Kera, Toshihiko Yamasaki,
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Abstract(in Japanese) (See Japanese page)
Abstract(in English) In this paper, we provide the first theoretical analysis of the training dynamics of adversarial training of deep neural networks in a mean field view. To this end, we propose a new mean field theory, which allows us to study adversarial training from various aspects. Particularly, we derive tight upper bounds for adversarial loss with various norms, prove that networks are not adversarially trainable without shortcuts except for restrictive cases, show that adversarial training degrades the expressibility of a network, and the network width is an important factor to alleviate this.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) Adversarial Training / Adversarial Examples / Mean Field Theory / Probabilistic Theory
Paper # ITS2022-59,IE2022-76
Date of Issue 2023-02-14 (ITS, IE)

Conference Information
Committee IE / ITS / ITE-MMS / ITE-ME / ITE-AIT
Conference Date 2023/2/21(2days)
Place (in Japanese) (See Japanese page)
Place (in English) Hokkaido Univ.
Topics (in Japanese) (See Japanese page)
Topics (in English) Image Processing, etc.
Chair Kazuya Kodama(NII) / Masahiro Fujii(Utsunomiya Univ.) / Kenji Machida(NHK) / Hiroyuki Arai(Nippon Inst. of Tech.) / Hisaki Nate(Tokyo Polytechnic Univ.)
Vice Chair Hiroyuki Bandoh(NTT) / Toshihiko Yamazaki(Univ. of Tokyo) / Kohei Ohno(Meiji Univ.) / Naohisa Hashimoto(AIST) / / Shogo Muramatsu(Niigata Univ)
Secretary Hiroyuki Bandoh(KDDI Research) / Toshihiko Yamazaki(Nagoya Inst. of Tech.) / Kohei Ohno(Toyama Prefectural Univ.) / Naohisa Hashimoto(NIT, Tsuruoka College) / (Fukuoka Univ.) / Shogo Muramatsu(NHK) / (Hokkaido Univ.)
Assistant Shunsuke Iwamura(NHK) / Shinobu Kudo(NTT) / Taishi Swabe(NAIST) / Keiji Jimi(Gunma Univ.)

Paper Information
Registration To Technical Committee on Image Engineering / Technical Committee on Intelligent Transport Systems Technology / Technical Group on Multi-media Storage / Technical Group on Media Engineering / Technical Group on Artistic Image Technology
Language ENG-JTITLE
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Probabilistic Approach towards Theoretical Understanding for Adversarial Training
Sub Title (in English)
Keyword(1) Adversarial Training
Keyword(2) Adversarial Examples
Keyword(3) Mean Field Theory
Keyword(4) Probabilistic Theory
1st Author's Name Soichiro Kumano
1st Author's Affiliation The University of Tokyo(UTokyo)
2nd Author's Name Hiroshi Kera
2nd Author's Affiliation Chiba University(Chiba Univ.)
3rd Author's Name Toshihiko Yamasaki
3rd Author's Affiliation The University of Tokyo(UTokyo)
Date 2023-02-22
Paper # ITS2022-59,IE2022-76
Volume (vol) vol.122
Number (no) ITS-384,IE-385
Page pp.pp.95-100(ITS), pp.95-100(IE),
#Pages 6
Date of Issue 2023-02-14 (ITS, IE)