Proximity for sums of composite functions
Copyright policy )Proximity for sums of composite functions
We propose an algorithm for computing the proximity operator of a sum of composite convex functions in Hilbert spaces and investigate its asymptotic behavior. Applications to best approximation and image recovery are described.
- University of Paris France
- Sorbonne University France
- Vietnam National University Viet Nam
- Sorbonne Paris Cité France
- French National Centre for Scientific Research France
Linear operator approximation theory, convex optimization, Duality, projector, image recovery, 90C25, proximity operator, FOS: Mathematics, best approximation, Mathematics - Optimization and Control, Optimality conditions for solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.), Applied Mathematics, Elastic net, Mathematical programming, lower-semicontinuous convex function, sadco, [MATH.MATH-OC] Mathematics [math]/Optimization and Control [math.OC], elastic net, Convex optimization, Image recovery, Proximity operator, Optimization and Control (math.OC), duality, Best approximation, Applications of operator theory in optimization, convex analysis, mathematical programming, economics, indicator function, Proximal splitting algorithm, Analysis, proximal splitting algorithm
Linear operator approximation theory, convex optimization, Duality, projector, image recovery, 90C25, proximity operator, FOS: Mathematics, best approximation, Mathematics - Optimization and Control, Optimality conditions for solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.), Applied Mathematics, Elastic net, Mathematical programming, lower-semicontinuous convex function, sadco, [MATH.MATH-OC] Mathematics [math]/Optimization and Control [math.OC], elastic net, Convex optimization, Image recovery, Proximity operator, Optimization and Control (math.OC), duality, Best approximation, Applications of operator theory in optimization, convex analysis, mathematical programming, economics, indicator function, Proximal splitting algorithm, Analysis, proximal splitting algorithm
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