Regularization and Interpolation of Positive Matrices - Collections | Kyushu University Library

＜journal article＞
Regularization and Interpolation of Positive Matrices

Creator	Author PID K007057 20834104 0000-0003-1888-3529 Creator Name Yamamoto, Kaoru 山本, 薫ヤマモト, カオル Affiliation Affiliation Name Department of Automatic Control, Lund University
	Author PID 0000-0002-1459-6365 Creator Name Chen, Yongxin Affiliation Affiliation Name Department of Medical Physics, Memorial Sloan Kettering Cancer Center
	Creator Name Ning, Lipeng Affiliation Affiliation Name Brigham and Women’s Hospital (Harvard Medical School)
	Author PID 0000-0003-0012-5447 Creator Name Georgiou, Tryphon T Affiliation Affiliation Name Department of Mechanical and Aerospace Engineering, University of California
	Author PID 0000-0002-0567-5256 Creator Name Tannenbaum, Allen Affiliation Affiliation Name Departments of Computer Science and Applied Mathematics & Statistics, Stony Brook University
Language	English
Publisher	Institute of Electrical and Electronics Engineers (IEEE)
Date	2018-04
Source Title	IEEE Transactions on Automatic Control
Vol	63
Issue	4
First Page	1208
Last Page	1212
Publication Type	Accepted Manuscript
Access Rights	open access
Related DOI	isVersionOf https://doi.org/10.1109/TAC.2017.2749258
Related DOI
Abstract	We construct certain matricial analogues of mass transport for positive definite matrices of equal trace. The framework aims to devise ways of interpolating positive definite matrices that tradeoff be...tween “aligning up their eigenstructure” and “scaling the corresponding eigenvalues”. Motivation for the work is provided by power spectral analysis of multivariate time series where linear interpolation between matrix-valued power spectra generates push-pop unrealistic and undesirable artifacts.show more

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PISSN	0018-9286
EISSN	1558-2523
NCID	AA00667671
Record ID	4785150
Subject Terms	Interpolation
	Eigenvalues and eigenfunctions
	Quantum mechanics
	Mathematical model
	Time series analysis
	Spectrogram
	Electronic mail
Funding Information	Funder Name AFOSR Air Force Office of Scientific Research Award Title FA9550-17-1-0435
	Funder Name AFOSR Air Force Office of Scientific Research Award Title FA9550-15-1-0045
	Funder Name NSF National Science Foundation Award Number 1509387 Award Title ECCS-1509387
	Funder Name NIH National Institutes of Health Award Title P41-RR-013218
	Funder Name NIH National Institutes of Health Award Title P41-EB-015902
	Funder Name Memorial Sloan Kettering Cancer Center
Created Date	2022.05.25
Modified Date	2022.06.06