Presentation 2015-03-03
RIP Conditions for Exact Recovery of Group-Sparse Vectors under Two Sets of Non-Overlapping Groups
Keiji FURUYA, Masahiro YUKAWA, Masao YAMAGISHI, Isao YAMADA,
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Abstract(in English) We consider a signal recovery problem with prior knowledge on group sparsity for two non-overlap groupings. We present several restricted isometry property (RIP) conditions over the two non-overlap groupings. By using one of the conditions, we show a recovery theorem for group-sparse vectors under the two non-overlap groupings via minimization of the sum of two group l_i norms.
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Keyword(in English) group sparsity / RIP condition / compressed sensing / l_1 minimization
Paper # EA2014-86,SIP2014-127,SP2014-149
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Committee EA
Conference Date 2015/2/23(1days)
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Language ENG
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) RIP Conditions for Exact Recovery of Group-Sparse Vectors under Two Sets of Non-Overlapping Groups
Sub Title (in English)
Keyword(1) group sparsity
Keyword(2) RIP condition
Keyword(3) compressed sensing
Keyword(4) l_1 minimization
1st Author's Name Keiji FURUYA
1st Author's Affiliation Department of Electronics and Electrical Engineering Keio University()
2nd Author's Name Masahiro YUKAWA
2nd Author's Affiliation Department of Electronics and Electrical Engineering Keio University
3rd Author's Name Masao YAMAGISHI
3rd Author's Affiliation Department of Communications and Computer Engineering Tokyo Institute of Technology
4th Author's Name Isao YAMADA
4th Author's Affiliation Department of Communications and Computer Engineering Tokyo Institute of Technology
Date 2015-03-03
Paper # EA2014-86,SIP2014-127,SP2014-149
Volume (vol) vol.114
Number (no) 473
Page pp.pp.-
#Pages 4
Date of Issue