A Proximal Average for Nonconvex Functions: A Proximal Stability Perspective
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Publication:3563899
DOI10.1137/07070913XzbMath1206.26019MaRDI QIDQ3563899
Publication date: 1 June 2010
Published in: SIAM Journal on Optimization (Search for Journal in Brave)
sensitivity analysisnonconvexMoreau envelopeproximal averageproximal point mappingprox-regular (compatible parameterization)
Nonconvex programming, global optimization (90C26) Sensitivity, stability, parametric optimization (90C31) Convexity of real functions of several variables, generalizations (26B25)
Related Items (12)
Graph-Matrix Calculus for Computational Convex Analysis ⋮ Compensated Convexity Methods for Approximations and Interpolations of Sampled Functions in Euclidean Spaces: Theoretical Foundations ⋮ The Bregman Proximal Average ⋮ Convex hull algorithms for piecewise linear-quadratic functions in computational convex analysis ⋮ A Proximal Average for Prox-Bounded Functions ⋮ Convexity of the proximal average ⋮ The NC-proximal average for multiple functions ⋮ The optimal value and optimal solutions of the proximal average of convex functions ⋮ Computing the partial conjugate of convex piecewise linear-quadratic bivariate functions ⋮ Conditions for the existence, identification and calculus rules of the threshold of prox-boundedness ⋮ On convex envelopes and regularization of non-convex functionals without moving global minima ⋮ Computation of the epsilon-subdifferential of convex piecewise linear-quadratic functions in optimal worst-case time
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