Papers › Efficient sparse probability measures recovery via Bregman gradient

Efficient sparse probability measures recovery via Bregman gradient

5 Mar 2024arXiv:2403.02861links table onlyarchive 2025-07-28

Jianting Pan, Ming Yan

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This paper presents an algorithm tailored for the efficient recovery of sparse probability measures incorporating ℓ₀-sparse regularization within the probability simplex constraint. Employing the Bregman proximal gradient method, our algorithm achieves sparsity by explicitly solving underlying subproblems. We rigorously establish the convergence properties of the algorithm, showcasing its capacity to converge to a local minimum with a convergence rate of O(1/k) under mild assumptions. To substantiate the efficacy of our algorithm, we conduct numerical experiments, offering a compelling demonstration of its efficiency in recovering sparse probability measures.

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