Results 31 to 40 of about 22,170,122 (349)
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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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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Computer Vision, 2010 This textbook is based on lectures given by the authors at MIPT (Moscow), HSE (Moscow), FEFU (Vladivostok), V.I. Vernadsky KFU (Simferopol), ASU (Republic of Adygea), and the University of Grenoble-Alpes (Grenoble, France).
Stephen P. Boyd, L. Vandenberghe
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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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Discrete convex analysis [PDF]
Mathematical Programming, 1998 A theory of "discrete convex analysis" is developed for integer-valued functions defined on integer lattice points. The theory parallels the ordinary convex analysis, covering discrete analogues of the fundamental concepts such as conjugacy, subgradients, the Fenchel min-max duality, separation theorems and the Lagrange duality framework for convex ...
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An introduction to non-smooth convex analysis via multiplicative derivative
Journal of Taibah University for Science, 2019 In this study, *-directional derivative and *-subgradient are defined using the multiplicative derivative, making a new contribution to non-Newtonian calculus for use in non-smooth analysis.
Ali Hakan Tor
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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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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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Convexity and logical analysis of data
Theoretical Computer Science, 2000 AbstractA Boolean function is called k-convex if for any pair x,y of its true points at Hamming distance at most k, every point “between” x and y is also true. Given a set of true points and a set of false points, the central question of Logical Analysis of Data is the study of those Boolean functions whose values agree with those of the given points ...
Ekin O., Hammer P.L., Kogan, A.
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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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