Results 41 to 50 of about 23,734,188 (353)
Convex Analysis in Decentralized Stochastic Control, Strategic Measures, and Optimal Solutions [PDF]
SIAM Journal of Control and Optimization, 2016 This paper is concerned with the properties of the sets of strategic measures induced by admissible team policies in decentralized stochastic control and the convexity properties in dynamic team problems.
S. Yüksel, Naci Saldi
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Journal of Mathematics, 2022 In this paper, a new class of functions, namely, exponentially α,h−m−p-convex functions is introduced to unify various classes of functions already defined in the subject of convex analysis.
Kamsing Nonlaopon +4 more
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Stable Principal Component Pursuit via Convex Analysis
IEEE Transactions on Signal Processing, 2019 This paper aims to recover a low-rank matrix and a sparse matrix from their superposition observed in additive white Gaussian noise by formulating a convex optimization problem with a non-separable non-convex regularization.
Lei Yin, Ankit Parekh, I. Selesnick
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A class of degenerate elliptic eigenvalue problems
Advances in Nonlinear Analysis, 2013 We consider a general class of eigenvalue problems where the leading elliptic term corresponds to a convex homogeneous energy function that is not necessarily differentiable.
Lucia Marcello, Schuricht Friedemann
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Mathematics, 2023 Many researchers have been attracted to the study of convex analysis theory due to both facts, theoretical significance, and the applications in optimization, economics, and other fields, which has led to numerous improvements and extensions of the ...
Asfand Fahad +3 more
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A convex analysis approach to multi-material topology optimization. [PDF]
, 2016 This work is concerned with optimal control of partial differential equations where the control enters the state equation as a coefficient and should take on values only from a given discrete set of values corresponding to available materials.
Christian Clason, K. Kunisch
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Dual
IEEE Access, 2018 The optimal power flow (OPF) model is a central optimization problem in power system network. In this paper, we propose a novel approach to solve the OPF problem that has a convex objective function and non-convex feasible domain due to the constraints ...
Liulin Yang, Naishan Hang, Zhi Wei
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Hyperspace of convex compacta of nonmetrizable compact convex subspaces of locally convex spaces
, 2008 Our main result states that the hyperspace of convex compact subsets of a compact convex subset $X$ in a locally convex space is an absolute retract if and only if $X$ is an absolute retract of weight $\le\omega_1$.
Benyamini +17 more
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Cardinality-constrained structured data-fitting problems
Open Journal of Mathematical OptimizationA memory-efficient solution framework is proposed for the cardinality-constrained structured data-fitting problem. Dual-based atom-identification rules reveal the structure of the optimal primal solution from near-optimal dual solutions, which allows for
Fan, Zhenan +2 more
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Continuous essential selections and integral functionals
, 2013 Given a strictly positive measure, we characterize inner semicontinuous solid convex-valued mappings for which continuous functions which are selections almost everywhere are selections.
Perkkiö, Ari-Pekka
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