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05/12/2023
On the Partial Convexification for Low-Rank Spectral Optimization: Rank Bounds and Algorithms
A Low-rank Spectral Optimization Problem (LSOP) minimizes a linear objec...
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10/28/2022
On the Exactness of Dantzig-Wolfe Relaxation for Rank Constrained Optimization Problems
This paper studies the rank constrained optimization problem (RCOP) that...
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03/29/2022
Smooth Robust Tensor Completion for Background/Foreground Separation with Missing Pixels: Novel Algorithm with Convergence Guarantee
The objective of this study is to address the problem of background/fore...
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12/22/2020
Unbiased Subdata Selection for Fair Classification: A Unified Framework and Scalable Algorithms
As an important problem in modern data analytics, classification has wit...
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08/28/2020
Exact and Approximation Algorithms for Sparse PCA
Sparse PCA (SPCA) is a fundamental model in machine learning and data an...
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01/23/2020
Best Principal Submatrix Selection for the Maximum Entropy Sampling Problem: Scalable Algorithms and Performance Guarantees
This paper studies a classic maximum entropy sampling problem (MESP), wh...
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06/11/2018
The CCP Selector: Scalable Algorithms for Sparse Ridge Regression from Chance-Constrained Programming
Sparse regression and variable selection for large-scale data have been ...
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02/23/2018