Zobrazeno 1 - 10
of 103
pro vyhledávání: '"Arias, Luis M."'
In this paper we provide an efficient computation of the projection onto the cone generated by the epigraph of the perspective of any convex lower semicontinuous function. Our formula requires solving only two scalar equations involving the proximity
Externí odkaz:
http://arxiv.org/abs/2411.08000
In this paper, we provide a generalization of the forward-backward splitting algorithm for minimizing the sum of a proper convex lower semicontinuous function and a differentiable convex function whose gradient satisfies a locally Lipschitztype condi
Externí odkaz:
http://arxiv.org/abs/2306.16047
In this paper we provide an explicit expression for the proximity operator of a perspective of any proper lower semicontinuous convex function defined on a Hilbert space. Our computation enhances and generalizes known formulae for the case when the F
Externí odkaz:
http://arxiv.org/abs/2305.04999
A perspective function is a construction which combines a base function defined on a given space with a nonlinear scaling function defined on another space and which yields a lower semicontinuous convex function on the product space. Since perspectiv
Externí odkaz:
http://arxiv.org/abs/2303.05337
The classical perspective of a function is a construction which transforms a convex function into one that is jointly convex with respect to an auxiliary scaling variable. Motivated by applications in several areas of applied analysis, we investigate
Externí odkaz:
http://arxiv.org/abs/2210.16937
Publikováno v:
In Signal Processing October 2024 223
We introduce a framework based on Rockafellar's perturbation theory to analyze and solve general nonsmooth convex minimization and monotone inclusion problems involving nonlinearly composed functions as well as linear compositions. Such problems have
Externí odkaz:
http://arxiv.org/abs/2111.11421
Autor:
Briceño-Arias, Luis M.
In this paper we propose a resolvent splitting with minimal lifting for finding a zero of the sum of $n\ge 2$ maximally monotone operators involving the composition with a linear bounded operator. The resolvent of each monotone operator, the linear o
Externí odkaz:
http://arxiv.org/abs/2111.09757
In this paper we provide a splitting algorithm for solving coupled monotone inclusions in a real Hilbert space involving the sum of a normal cone to a vector subspace, a maximally monotone, a monotone-Lipschitzian, and a cocoercive operator. The prop
Externí odkaz:
http://arxiv.org/abs/2104.01516
In this paper we provide a generalization of the Douglas-Rachford splitting (DRS) and the primal-dual algorithm (Vu 2013, Condat 2013) for solving monotone inclusions in a real Hilbert space involving a general linear operator. The proposed method al
Externí odkaz:
http://arxiv.org/abs/2101.11683