Presentation 2017-09-15
Alternating Circulant Random Features for Semigroup Kernels
Yusuke Mukuta, Yoshitaka Ushiku, Tatsuya Harada,
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Abstract(in Japanese) (See Japanese page)
Abstract(in English) In this paper, we propose novel random features termed ``alternating circulant random features,'' which are comprised of a random mixture of independent random structured matrices. Existing fast random features exploit random sign flipping to reduce the correlation between features. Sign flipping works well on random Fourier features for real-valued shiftーinvariant kernels, because the corresponding weight distribution is symmetric. However, these methods cannot be applied to random Laplace features directly, because the distribution is not symmetric. The method proposed herein yields alternating circulant random features, with the correlation between features being reduced through the random sampling of weights from multiple independent random structured matrices, instead of via random sign flipping. The proposed method facilitates rapid calculation, because structured matrices are employed. In addition, the weight distribution is preserved, because sign flipping is not implemented. The performance of the proposed method for generating alternating circulant random features is theoretically and empirically evaluated.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) Image Recognition / Kernel Approximation / Random Features
Paper # PRMU2017-42,IBISML2017-14
Date of Issue 2017-09-08 (PRMU, IBISML)

Conference Information
Committee PRMU / IBISML / IPSJ-CVIM
Conference Date 2017/9/15(2days)
Place (in Japanese) (See Japanese page)
Place (in English)
Topics (in Japanese) (See Japanese page)
Topics (in English)
Chair Shinichi Sato(NII) / Kenji Fukumizu(ISM)
Vice Chair Hironobu Fujiyoshi(Chubu Univ.) / Yoshihisa Ijiri(Omron) / Masashi Sugiyama(Univ. of Tokyo)
Secretary Hironobu Fujiyoshi(AIST) / Yoshihisa Ijiri(NAIST) / Masashi Sugiyama(Kyoto Univ.) / (Univ. of Tokyo)
Assistant Masato Ishii(NEC) / Yusuke Sugano(Osaka Univ.) / Ichiro Takeuchi(Nagoya Inst. of Tech.) / Toshihiro Kamishima(AIST)

Paper Information
Registration To Technical Committee on Pattern Recognition and Media Understanding / Technical Committee on Infomation-Based Induction Sciences and Machine Learning / Special Interest Group on Computer Vision and Image Media
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Alternating Circulant Random Features for Semigroup Kernels
Sub Title (in English)
Keyword(1) Image Recognition
Keyword(2) Kernel Approximation
Keyword(3) Random Features
1st Author's Name Yusuke Mukuta
1st Author's Affiliation The University of Tokyo(UTokyo)
2nd Author's Name Yoshitaka Ushiku
2nd Author's Affiliation The University of Tokyo(UTokyo)
3rd Author's Name Tatsuya Harada
3rd Author's Affiliation The University of Tokyo(UTokyo)
Date 2017-09-15
Paper # PRMU2017-42,IBISML2017-14
Volume (vol) vol.117
Number (no) PRMU-210,IBISML-211
Page pp.pp.27-34(PRMU), pp.27-34(IBISML),
#Pages 8
Date of Issue 2017-09-08 (PRMU, IBISML)