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pro vyhledávání: '"GIBALI, AVIV"'
The superiorization methodology (SM) is an optimization heuristic in which an iterative algorithm, which aims to solve a particular problem, is ``superiorized'' to promote solutions that are improved with respect to some secondary criterion. This sup
Externí odkaz:
http://arxiv.org/abs/2410.23401
Publikováno v:
Open Journal of Mathematical Optimization, Vol 1, Iss , Pp 1-15 (2020)
In this paper, we propose a catalog of iterative methods for solving the Split Feasibility Problem in the non-convex setting. We study four different optimization formulations of the problem, where each model has advantages in different settings of t
Externí odkaz:
https://doaj.org/article/b1b1fdde862241498a917bc66ed647f1
Autor:
Gibali, Aviv, Haltmeier, Markus
Inverse problems are characterized by their inherent non-uniqueness and sensitivity with respect to data perturbations. Their stable solution requires the application of regularization methods including variational and iterative regularization method
Externí odkaz:
http://arxiv.org/abs/2310.09431
Publikováno v:
Rev. Real Acad. Cienc. Exactas Fis. Nat. Ser. A-Mat., 117, Article number: 88 (2023)
The notion of well-posedness has drawn the attention of many researchers in the field of nonlinear analysis, as it allows to explore problems in which exact solutions are not known and/or computationally hard to compute. Roughly speaking, for a given
Externí odkaz:
http://arxiv.org/abs/2208.07126
In this paper we study the split minimization problem that consists of two constrained minimization problems in two separate spaces that are connected via a linear operator that maps one space into the other. To handle the data of such a problem we d
Externí odkaz:
http://arxiv.org/abs/2207.05663
In this work we focus on the convex feasibility problem (CFP) in Hilbert space. A specific method in this area that has gained a lot of interest in recent years is the Douglas-Rachford (DR) algorithm. This algorithm was originally introduced in 1956
Externí odkaz:
http://arxiv.org/abs/2204.00275
Autor:
Singh, Shipra1 (AUTHOR) shiprasingh384@gmail.com, Gibali, Aviv2 (AUTHOR) avivgi@hit.ac.il, Reich, Simeon3 (AUTHOR) sreich@technion.ac.il
Publikováno v:
Mathematics (2227-7390). Aug2024, Vol. 12 Issue 16, p2453. 30p.
Inverse problems consist of recovering a signal from a collection of noisy measurements. These problems can often be cast as feasibility problems; however, additional regularization is typically necessary to ensure accurate and stable recovery with r
Externí odkaz:
http://arxiv.org/abs/2104.14090
Dynamic user equilibrium (DUE) is a Nash-like solution concept describing an equilibrium in dynamic traffic systems over a fixed planning period. DUE is a challenging class of equilibrium problems, connecting network loading models and notions of sys
Externí odkaz:
http://arxiv.org/abs/2010.04597
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