2021/06/13 by Ashkan Esmaeili, Mohsen Joneidi, Esmaeili, Ashkan +7 · 1 citation
Computer Science · Engineering · #Blind Source Separation Techniques #Direction-of-Arrival Estimation Techniques #FOS: Computer and information sciences #Machine Learning (cs.LG) #Sparse and Compressive Sensing Techniques
paper · pdf · doi:10.48550/arxiv.2106.06983
openalex publication_date 2021/06/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The problem of simultaneous column and row subset selection is addressed in\nthis paper. The column space and row space of a matrix are spanned by its left\nand right singular vectors, respectively. However, the singular vectors are not\nwithin actual columns/rows of the matrix. In this paper, an iterative approach\nis proposed to capture the most structural information of columns/rows via\nselecting a subset of actual columns/rows. This algorithm is referred to as\ntwo-way spectrum pursuit (TWSP) which provides us with an accurate solution for\nthe CUR matrix decomposition. TWSP is applicable in a wide range of\napplications since it enjoys a linear complexity w.r.t. number of original\ncolumns/rows. We demonstrated the application of TWSP for joint channel and\nsensor selection in cognitive radio networks, informative users and contents\ndetection, and efficient supervised data reduction.\n