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Tag: sparsity

  • Sparsity via Hyperpriors: A Theoretical and Algorithmic Study under Empirical Bayes Framework

    Sparsity via Hyperpriors: A Theoretical and Algorithmic Study under Empirical Bayes Framework arXiv:2511.06235v1 Announce Type: new Abstract: This paper presents a comprehensive analysis of hyperparameter estimation within the empirical Bayes framework (EBF) for sparse learning. By studying the influence of hyperpriors on the solution of EBF, we establish a theoretical connection between the choice of…

  • Learning sparsity-promoting regularizers for linear inverse problems

    Learning sparsity-promoting regularizers for linear inverse problems arXiv:2412.16031v1 Announce Type: new Abstract: This paper introduces a novel approach to learning sparsity-promoting regularizers for solving linear inverse problems. We develop a bilevel optimization framework to select an optimal synthesis operator, denoted as $B$, which regularizes the inverse problem while promoting sparsity in the solution. The method…