Presentation 2015-06-19
Mathematical Properties of the Gradient-Based Discriminative Methods
Hayato Itoh, Atsushi Imiya, Tomoya Sakai,
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Abstract(in Japanese) (See Japanese page)
Abstract(in English) We reveal the mathematical properties of the histogram of oriented gradients method. The oriented gradients in local region derive a two-dimensional directional statistics, that is, distributions of oriented gradients on the plane yields histograms on a unit circle. For two sets of histograms on unit circles, using the Wasserstein distance, we introduce several methods to measure the difference of images. These measurement methods aggregate the differences of distributions of directional distributions in each local region of images.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) directional statistics / histogram of oriented gradient / Wasserstein distance / Earth Mover's distance / dominant direction
Paper # PRMU2015-50,SP2015-19,WIT2015-19
Date of Issue 2015-06-11 (PRMU, SP, WIT)

Conference Information
Committee WIT / SP / ASJ-H / PRMU
Conference Date 2015/6/18(2days)
Place (in Japanese) (See Japanese page)
Place (in English)
Topics (in Japanese) (See Japanese page)
Topics (in English)
Chair Kiyohiko Nunokawa(Tokyo International Univ.) / Kazunori Mano(Shibaura Inst. of Tech.) / Masato Akagi(北陸先端大) / Eisaku Maeda(NTT)
Vice Chair Chikamune Wada(Kyushu Inst. of Tech.) / Norihide Kitaoka(Tokushima Univ.) / Shigeto Furukawa(NTT) / Shuji Senda(NEC) / Seiichi Uchida(Kyushu Univ.)
Secretary Chikamune Wada(Nagoya Inst. of Tech.) / Norihide Kitaoka(AIST) / Shigeto Furukawa(Tsukuba Univ. of Tech.) / Shuji Senda(Tokyo City Univ.) / Seiichi Uchida(Kobe Univ.)
Assistant Tomohiro Amemiya(NTT) / Takeaki Shionome(Tsukuba Univ. of Tech.) / Manabi Miyagi(Tsukuba Univ. of Tech.) / Takashi Nose(Tohoku Univ.) / Taichi Asami(NTT) / / Kazuaki Kondo(Kyoto Univ.) / Akisato Kimura(NTT)

Paper Information
Registration To Technical Committee on Well-being Information Technology / Technical Committee on Speech / * / Technical Committee on Pattern Recognition and Media Understanding
Language ENG-JTITLE
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Mathematical Properties of the Gradient-Based Discriminative Methods
Sub Title (in English)
Keyword(1) directional statistics
Keyword(2) histogram of oriented gradient
Keyword(3) Wasserstein distance
Keyword(4) Earth Mover's distance
Keyword(5) dominant direction
1st Author's Name Hayato Itoh
1st Author's Affiliation Chiba University(Chiba Univ.)
2nd Author's Name Atsushi Imiya
2nd Author's Affiliation Chiba University(Chiba Univ.)
3rd Author's Name Tomoya Sakai
3rd Author's Affiliation Nagasaki University(Nagasaki Univ.)
Date 2015-06-19
Paper # PRMU2015-50,SP2015-19,WIT2015-19
Volume (vol) vol.115
Number (no) PRMU-98,SP-99,WIT-100
Page pp.pp.107-111(PRMU), pp.107-111(SP), pp.107-111(WIT),
#Pages 5
Date of Issue 2015-06-11 (PRMU, SP, WIT)