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A Gradient Projection Algorithm with a New Stepsize for Nonnegative Sparsity-Constrained Optimization

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Nonnegative sparsity-constrained optimization problem arises in many fields, such as the linear compressing sensing problem and the regularized logistic regression cost function. In this paper, we introduce a new stepsize… Click to show full abstract

Nonnegative sparsity-constrained optimization problem arises in many fields, such as the linear compressing sensing problem and the regularized logistic regression cost function. In this paper, we introduce a new stepsize rule and establish a gradient projection algorithm. We also obtain some convergence results under milder conditions.

Keywords: projection algorithm; nonnegative sparsity; new stepsize; gradient projection; constrained optimization; sparsity constrained

Journal Title: Mathematical Problems in Engineering
Year Published: 2020

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