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BLIND SOURCE SEPARATION OVER SPACE: AN EIGENANALYSIS APPROACH

delete2025-10-01
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OA
AI
张
张波 (Bo Zhang) *
S
Sixing Hao
Q
Qiwei Yao
DOI:10.5705/ss.202023.0157delete
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Abstract

Abstract

En 中文
We propose a new estimation method for the blind source separation model of Bachoc et al. (2020). The new estimation is based on an eigenanalysis of a positive definite matrix defined in terms of multiple normalized spatial local covariance matrices, and therefore can handle moderately high-dimensional random fields. The consistency of the estimated mixing matrix is established with explicit error rates even when the eigen-gap decays to zero slowly. The proposed method is illustrated via both simulation and a real data example.
Keywords:
Eigen-analysis
eigen-gap
high-dimensional random field
mixing matrix
normalized spatial local covariance matrix

Journal

S
Statistica Sinica
IF:
1.2
Papers:
67
Citations:
3.8K

Organization

U
university of science & technology of china, cas
Scholars:
3.2W
Papers: 2.7W
Citations: 74
C
Chinese Academy of Sciences
Scholars:
3.9W
Papers: 1.5W
Citations: 58.4W
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