Search Results - "Erno, Robert"

Fast optimization via inertial dynamics with closed-loop damping by Attouch, Hedy, Boţ, Radu Ioan, Csetnek, Ernö Robert

“…In a real Hilbert space \mathcal{H} , in order to develop fast optimization methods, we analyze the asymptotic behavior, as time t tends to infinity, of a…”
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An inertial forward-backward-forward primal-dual splitting algorithm for solving monotone inclusion problems by Boţ, Radu Ioan, Csetnek, Ernö Robert

“…We introduce and investigate the convergence properties of an inertial forward-backward-forward splitting algorithm for approaching the set of zeros of the sum…”
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Continuous Dynamics Related to Monotone Inclusions and Non-Smooth Optimization Problems by Csetnek, Ernö Robert

“…The aim of this survey is to present the main important techniques and tools from variational analysis used for first and second order dynamical systems of…”
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Inertial Douglas–Rachford splitting for monotone inclusion problems by Boţ, Radu Ioan, Csetnek, Ernö Robert, Hendrich, Christopher

“…We propose an inertial Douglas–Rachford splitting algorithm for finding the set of zeros of the sum of two maximally monotone operators in Hilbert spaces and…”
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An Inertial Tseng’s Type Proximal Algorithm for Nonsmooth and Nonconvex Optimization Problems by Boţ, Radu Ioan, Csetnek, Ernö Robert

“…We investigate the convergence of a forward–backward–forward proximal-type algorithm with inertial and memory effects when minimizing the sum of a nonsmooth…”
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An accelerated minimax algorithm for convex-concave saddle point problems with nonsmooth coupling function by Boţ, Radu Ioan, Csetnek, Ernö Robert, Sedlmayer, Michael

“…In this work we aim to solve a convex-concave saddle point problem, where the convex-concave coupling function is smooth in one variable and nonsmooth in the…”
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Second Order Dynamics Featuring Tikhonov Regularization and Time Scaling by Csetnek, Ernö Robert, Karapetyants, Mikhail A.

“…In a Hilbert setting we aim to study a second order in time differential equation, combining viscous and Hessian-driven damping, containing a time scaling…”
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Shadow Douglas–Rachford Splitting for Monotone Inclusions by Csetnek, Ernö Robert, Malitsky, Yura, Tam, Matthew K.

“…In this work, we propose a new algorithm for finding a zero of the sum of two monotone operators where one is assumed to be single-valued and Lipschitz…”
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On the convergence rate improvement of a primal-dual splitting algorithm for solving monotone inclusion problems by Boţ, Radu Ioan, Csetnek, Ernö Robert, Heinrich, André, Hendrich, Christopher

“…We present two modified versions of the primal-dual splitting algorithm relying on forward–backward splitting proposed in V u ~ (Adv Comput Math 38(3):667–681,…”
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ADMM for monotone operators: convergence analysis and rates by Boţ, Radu Ioan, Csetnek, Ernö Robert

“…We propose in this paper a unifying scheme for several algorithms from the literature dedicated to the solving of monotone inclusion problems involving…”
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An inertial forward–backward algorithm for the minimization of the sum of two nonconvex functions by Boţ, Radu Ioan, Csetnek, Ernö Robert, László, Szilárd Csaba

“…We propose a forward–backward proximal-type algorithm with inertial/memory effects for minimizing the sum of a nonsmooth function with a smooth one in the…”
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A Dynamical Approach to Two-Block Separable Convex Optimization Problems with Linear Constraints by Bitterlich, Sandy, Csetnek, Ernö Robert, Wanka, Gert

“…The aim of this manuscript is to approach by means of first order differential equations/inclusions convex programming problems with two-block separable linear…”
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A primal-dual dynamical approach to structured convex minimization problems by Boţ, Radu Ioan, Csetnek, Ernö Robert, László, Szilárd Csaba

“…In this paper we propose a primal-dual dynamical approach to the minimization of a structured convex function consisting of a smooth term, a nonsmooth term,…”
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A Dynamical System Associated with the Fixed Points Set of a Nonexpansive Operator by Boţ, Radu Ioan, Csetnek, Ernö Robert

“…We study the existence and uniqueness of (locally) absolutely continuous trajectories of a dynamical system governed by a nonexpansive operator. The weak…”
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Fast Augmented Lagrangian Method in the convex regime with convergence guarantees for the iterates by Boţ, Radu Ioan, Csetnek, Ernö Robert, Nguyen, Dang-Khoa

“…This work aims to minimize a continuously differentiable convex function with Lipschitz continuous gradient under linear equality constraints. The proposed…”
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A Hybrid Proximal-Extragradient Algorithm with Inertial Effects by Boţ, Radu Ioan, Csetnek, Ernö Robert

“…In this article, we incorporate inertial terms in the hybrid proximal-extragradient algorithm and investigate the convergence properties of the resulting…”
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The Proximal Alternating Minimization Algorithm for Two-Block Separable Convex Optimization Problems with Linear Constraints by Bitterlich, Sandy, Boţ, Radu Ioan, Csetnek, Ernö Robert, Wanka, Gert

“…The Alternating Minimization Algorithm has been proposed by Paul Tseng to solve convex programming problems with two-block separable linear constraints and…”
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A second-order dynamical system with Hessian-driven damping and penalty term associated to variational inequalities by Boţ, Radu Ioan, Csetnek, Ernö Robert

“…We consider the minimization of a convex objective function subject to the set of minima of another convex function, under the assumption that both functions…”
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Gradient-type penalty method with inertial effects for solving constrained convex optimization problems with smooth data by Boţ, Radu Ioan, Csetnek, Ernö Robert, Nimana, Nimit

“…We consider the problem of minimizing a smooth convex objective function subject to the set of minima of another differentiable convex function. In order to…”
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An Inertial Proximal-Gradient Penalization Scheme for Constrained Convex Optimization Problems by Boţ, Radu Ioan, Csetnek, Ernö Robert, Nimana, Nimit

“…We propose a proximal-gradient algorithm with penalization terms and inertial and memory effects for minimizing the sum of a proper, convex, and lower…”
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