Presentation 2018-03-19
Optimization of Gaussian Kernel Parameters for Kernel Logistic Regression
Kosuke Fukumori, Tomoya Wada, Toshihisa Tanaka,
PDF Download Page PDF download Page Link
Abstract(in Japanese) (See Japanese page)
Abstract(in English) The kernel logistic regression is a nonlinear classification model that effectively uses kernel methods, which are one of the techniques to construct effective nonlinear systems with a reproducing kernel Hilbert space (RKHS) induced from a positive definite kernel. Since a performance of the kernel logistic regression with RKHS depends on the kernels to build the model, it is important to select appropriate kernel parameters. In this paper, we propose a method to optimize the kernel widths at learning for the kernel logistic regression using Gaussian kernels. In addition to that, the kernel centers are also updated to increase the generalization ability. For learning of kernel coefficients, we introduce L1-regularization to reduce the number of support vectors. Numerical experiments support the validity of the proposed method.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) Kernel logistic regression / Nonlinear classification / Reproducing kernel Hilbert space / Gaussian kernel
Paper # EA2017-135,SIP2017-144,SP2017-118
Date of Issue 2018-03-12 (EA, SIP, SP)

Conference Information
Committee SIP / EA / SP / MI
Conference Date 2018/3/19(2days)
Place (in Japanese) (See Japanese page)
Place (in English)
Topics (in Japanese) (See Japanese page)
Topics (in English) Speech, Engineering/Electro Acoustics, Signal Processing, and Related Topics [SIP, EA, SP]/ Medical Image Engineering, Analysis, Recognition, etc. [MI]
Chair Masahiro Okuda(Univ. of Kitakyushu) / Suehiro Shimauchi(NTT) / Yoichi Yamashita(Ritsumeikan Univ.) / Kensaku Mori(Nagoya Univ.)
Vice Chair Shogo Muramatsu(Niigata Univ.) / Naoyuki Aikawa(TUS) / Mitsunori Mizumachi(Kyutech) / Hiroki Mori(Utsunomiya Univ.) / Yoshiki Kawata(Tokushima Univ.) / Yuichi Kimura(Kinki Univ.)
Secretary Shogo Muramatsu(Chiba Inst. of Tech.) / Naoyuki Aikawa(Takushoku Univ.) / Mitsunori Mizumachi(Akita Pref. Univ.) / Hiroki Mori(Shizuoka Inst. of Science and Tech.) / Yoshiki Kawata(Shizuoka Univ.) / Yuichi Kimura(Meijo Univ.)
Assistant Masayoshi Nakamoto(Hiroshima Univ.ひろ) / TREVINO Jorge(Tohoku Univ.) / Nobutaka Ito(NTT) / Kei Hashimoto(Nagoya Inst. of Tech.) / Satoshi Kobashikawa(NTT) / Ryo Haraguchi(Univ. of Hyogo) / Yasushi Hirano(Yamaguchi Univ.)

Paper Information
Registration To Technical Committee on Signal Processing / Technical Committee on Engineering Acoustics / Technical Committee on Speech / Technical Committee on Medical Imaging
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Optimization of Gaussian Kernel Parameters for Kernel Logistic Regression
Sub Title (in English)
Keyword(1) Kernel logistic regression
Keyword(2) Nonlinear classification
Keyword(3) Reproducing kernel Hilbert space
Keyword(4) Gaussian kernel
1st Author's Name Kosuke Fukumori
1st Author's Affiliation Tokyo University of Agriculture and Technology(TUAT)
2nd Author's Name Tomoya Wada
2nd Author's Affiliation Tokyo University of Agriculture and Technology(TUAT)
3rd Author's Name Toshihisa Tanaka
3rd Author's Affiliation Tokyo University of Agriculture and Technology(TUAT)
Date 2018-03-19
Paper # EA2017-135,SIP2017-144,SP2017-118
Volume (vol) vol.117
Number (no) EA-515,SIP-516,SP-517
Page pp.pp.185-190(EA), pp.185-190(SIP), pp.185-190(SP),
#Pages 6
Date of Issue 2018-03-12 (EA, SIP, SP)