Results 11 to 20 of about 8,190 (293)
Apart Sets and Functions: an Application to the Stability of Penalized Optimization Problems [PDF]
Vietnam Journal of Mathematics, 2018 The notion of apart sets and functions, a technical concept introduced by Luc and Penot, is studied in the framework of star-shaped sets and functions. As an application, we provide a necessary and sufficient condition ensuring that a penalized optimization problem is stable with respect to perturbations of both the penalty and the objective functions,
Ernst, Emil, Emil Ernst
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Joint Secure AF Relaying and Artificial Noise Optimization: A Penalized Difference-of-Convex Programming Framework [PDF]
IEEE Access, 2016 Owing to the vulnerability of relay-assisted communications, improving wireless security from a physical layer signal processing perspective is attracting increasing interest.
Jiaxin Yang +5 more
doaj +2 more sources
Regularity for the Optimal Compliance Problem with Length Penalization [PDF]
SIAM Journal on Mathematical Analysis, 2017 We prove some regularity results for a connected set S in the planar domain O, which minimizes the compliance of its complement O§, plus its length. This problem, interpreted as to find the best location for attaching a membrane subject to a given external force f so as to minimize the compliance, can be seen as an elliptic PDE version of the average ...
Chambolle, Antonin +3 more
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A Penalization and Regularization Technique in Shape Optimization Problems [PDF]
SIAM Journal on Control and Optimization, 2013 We consider shape optimization problems, where the state is governed by elliptic partial differential equations. Using a regularization technique, unknown shapes are encoded via shape functions, turning the shape optimization into optimal control problems for the unknown functions.
Philip, P., Tiba, D.
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Node-Screening Tests For The L0-Penalized Least-Squares Problem [PDF]
, 2022 International audienceWe present a novel screening methodology to safely discard irrelevant nodes within a generic branch-and-bound (BnB) algorithm solving the `0-penalized least-squares problem.
Guyard, Theo +2 more
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Penalized wavelet monotone regression [PDF]
, 2007 In this paper we focus on nonparametric estimation of a constrained regression function using penalized wavelet regression techniques. This results into a convex op- timization problem under linear constraints.
Irène Gijbels +5 more
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Penalization of Dirichlet optimal control problems [PDF]
ESAIM: Control, Optimisation and Calculus of Variations, 2008 We apply Robin penalization to Dirichlet optimal control problems governed by semilinear elliptic equations. Error estimates in terms of the penalization parameter are stated. The results are compared with some previous ones in the literature and are checked by a numerical experiment.
Casas Rentería, Eduardo +2 more
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Partial regularity for the optimal p-compliance problem with length penalization [PDF]
Calculus of Variations and Partial Differential Equations, 2021 42 pages, 2 figures.
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Exterior-Point Optimization for Sparse and Low-Rank Optimization [PDF]
Many problems of substantial current interest in machine learning, statistics, and data science can be formulated as sparse and low-rank optimization problems.
Das Gupta, Shuvomoy +2 more
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Penalized Parabolic Relaxation for Optimal Power Flow Problem [PDF]
2018 IEEE Conference on Decision and Control (CDC), 2018 This paper is concerned with optimal power flow (OPF), which is the problem of optimizing the transmission of electricity in power systems. Our main contributions are as follows: (i) we propose a novel parabolic relaxation, which transforms non-convex OPF problems into convex quadratically-constrained quadratic programs (QCQPs) and can serve as an ...
Fariba Zohrizadeh +3 more
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