On the Strong Convergence of Forward-Backward Splitting in Reconstructing Jointly Sparse Signals
Sign Up to like & getrecommendations! Published in 2021 at "Set-Valued and Variational Analysis"
DOI: 10.1007/s11228-021-00603-2
Abstract: We consider the problem of reconstructing a set of sparse vectors sharing a common sparsity pattern from incomplete measurements. To take account of the joint sparsity and promote the coupling of nonvanishing components, we employ… read more here.
Keywords: convergence forward; forward backward; backward splitting; jointly sparse ... See more keywords
Strong convergence of a forward–backward splitting method with a new step size for solving monotone inclusions
Sign Up to like & getrecommendations! Published in 2019 at "Computational and Applied Mathematics"
DOI: 10.1007/s40314-019-0855-z
Abstract: In this paper, our interest is in investigating the monotone inclusion problems in the framework of real Hilbert spaces. To solve this problem, we propose a new modified forward–backward splitting method using the viscosity method… read more here.
Keywords: forward backward; backward splitting; strong convergence; splitting method ... See more keywords
Strong convergence of the forward–backward splitting method with multiple parameters in Hilbert spaces
Sign Up to like & getrecommendations! Published in 2018 at "Optimization"
DOI: 10.1080/02331934.2017.1411485
Abstract: Abstract Many problems arising from machine learning, signal & image recovery, and compressed sensing can be casted into a monotone inclusion problem for finding a zero of the sum of two monotone operators. The forward–backward… read more here.
Keywords: splitting method; convergence; convergence forward; forward backward ... See more keywords