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arXiv · 2106.06983

Two-way Spectrum Pursuit for CUR Decomposition and Its Application in Joint Column/Row Subset Selection

Ashkan Esmaeili·Mohsen Joneidi·Mehrdad Salimitari·Umar Khalid·Nazanin Rahnavard
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Abstract

The problem of simultaneous column and row subset selection is addressed in this paper. The column space and row space of a matrix are spanned by its left and right singular vectors, respectively. However, the singular vectors are not within actual columns/rows of the matrix. In this paper, an iterative approach is proposed to capture the most structural information of columns/rows via selecting a subset of actual columns/rows. This algorithm is referred to as two-way spectrum pursuit (TWSP) which provides us with an accurate solution for the CUR matrix decomposition. TWSP is applicable in a wide range of applications since it enjoys a linear complexity w.r.t. number of original columns/rows. We demonstrated the application of TWSP for joint channel and sensor selection in cognitive radio networks, informative users and contents detection, and efficient supervised data reduction.

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Ashkan Esmaeili, Mohsen Joneidi, Mehrdad Salimitari, Umar Khalid, Nazanin Rahnavard. 2021-06-13. Two-way Spectrum Pursuit for CUR Decomposition and Its Application in Joint Column/Row Subset Selection. https://arxiv.org/abs/2106.06983

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