Presentation 2023-02-28
The target detection method through autocovariance matrices and its robust analysis
Yusuke Ono, Linyu Peng,
PDF Download Page PDF download Page Link
Abstract(in Japanese) (See Japanese page)
Abstract(in English) An autocovariance matrix can be used to describe the characteristic of time series data. If data follow the stationary process, this matrix is Hermitian positive definite (HPD). In this paper, we take into account that the space of HPD autocovariance matrices forms a Riemannian manifold and propose the target detection method that utilizes the Bures--Wasserstein metric of the HPD matrix manifold. For comparison, we introduce the affine invariant Riemannian metric (AIRM) and the log-Euclidean (LE) metric of HPD matrix manifolds. Furthermore, the robust analysis for geometric means and medians is conducted.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) HPD matrix manifold / Bures--Wasserstein metric / Robust analysis
Paper # EA2022-84,SIP2022-128,SP2022-48
Date of Issue 2023-02-21 (EA, SIP, SP)

Conference Information
Committee SP / IPSJ-SLP / EA / SIP
Conference Date 2023/2/28(2days)
Place (in Japanese) (See Japanese page)
Place (in English)
Topics (in Japanese) (See Japanese page)
Topics (in English)
Chair Tomoki Toda(Nagoya Univ.) / Tomoki Toda(Nagoya Univ.) / Kenichi Furuya(Oita Univ.) / Toshihisa Tanaka(Tokyo Univ. Agri.&Tech.)
Vice Chair / / Tatsuya Kako(NTT) / Junki Ono(Tokyo Metropolitan Univ.) / Koichi Ichige(Yokohama National Univ.) / Takayuki Nakachi(Ryukyu Univ.)
Secretary (NTT) / (Univ. of Electro-Comm.) / Tatsuya Kako(NTT) / Junki Ono(Univ. of Electro-Comm.) / Koichi Ichige(NTT) / Takayuki Nakachi(RitsumeikanUniv.)
Assistant Ryo Aihara(Mitsubishi Electric) / Daisuke Saito(Univ. of Tokyo) / Ryo Aihara(Mitsubishi Electric) / Daisuke Saito(Univ. of Tokyo) / Masato Nakayama(Osaka Sangyo Univ.) / Kouhei Yatabe(Tuat) / Taichi Yoshida(UEC) / Shoko Imaizumi(Chiba Univ.)

Paper Information
Registration To Technical Committee on Speech / Special Interest Group on Spoken Language Processing / Technical Committee on Engineering Acoustics / Technical Committee on Signal Processing
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) The target detection method through autocovariance matrices and its robust analysis
Sub Title (in English)
Keyword(1) HPD matrix manifold
Keyword(2) Bures--Wasserstein metric
Keyword(3) Robust analysis
1st Author's Name Yusuke Ono
1st Author's Affiliation Keio University(Keio Univ.)
2nd Author's Name Linyu Peng
2nd Author's Affiliation Keio University(Keio Univ.)
Date 2023-02-28
Paper # EA2022-84,SIP2022-128,SP2022-48
Volume (vol) vol.122
Number (no) EA-387,SIP-388,SP-389
Page pp.pp.55-60(EA), pp.55-60(SIP), pp.55-60(SP),
#Pages 6
Date of Issue 2023-02-21 (EA, SIP, SP)