2023
DOI: 10.1109/ojsp.2023.3271249
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MEGS: A Penalty for Mutually Exclusive Group Sparsity

Abstract: Penalty functions or regularization terms that promote structured solutions to optimization problems are of great interest in many fields. We introduce MEGS, a nonconvex structured sparsity penalty that promotes mutual exclusivity between components in solutions to optimization problems. This enforces, or promotes, 1-sparsity within arbitrary overlapping groups in a vector. The mutual exclusivity structure is represented by a matrix S. We discuss the design of S from engineering principles and show example use… Show more

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