Smooth minimization of non-smooth functions

Keywords

Smoothing, Mathematics, Minification, Mathematical optimization, Regular polygon

References

• Lectures on modern convex optimization - analysis, algorithms, and engineering applicationsAharon Ben‐Tal, Arkadi Nemirovski — 2001
• Convex analysis and minimization algorithmsJean‐Baptiste Hiriart‐Urruty, Claude Lemaréchal — 1993
• Introduction to optimizationB. T. Poli︠a︡k — 1987
• Constrained Optimization and Lagrange Multiplier MethodsD. Bertsekas — 1982
• On convergence rates of subgradient optimization methodsJ. L. Goffin — 1977
• Introductory Lectures on Convex Optimization - A Basic CourseYurii Nesterov — 2014
• Nonlinear rescaling vs. smoothing technique in convex optimizationRoman A. Polyak — 2002
• A method for unconstrained convex minimization problem with the rate of convergence o(1/k^2)Yurii Nesterov — 1983
• Introductory Lectures on Convex Optimization: A Basic CourseЮ Е Нестеров — 2014
• The Author Would like to ThankPiet Clement, E. Atkinson, C. Borio — 1988
• On the Bertsekas' method for minimization of composite functionsB. T. Poljak — 1979

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• Efficient First-Order Methods for Linear Programming and Semidefinite ProgrammingJames Renegar — 2014
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• Communication-Efficient Algorithms For Distributed OptimizationMota, João F. C. — 2013
• An efficient algorithm for total variation regularization with applications to the single pixel camera and compressive sensingChengbo Li — 2010
• PIVOTAL ESTIMATION OF NONPARAMETRIC FUNCTIONS VIA SQUARE-ROOT LASSOAlexandre Belloni, Victor Chernozhukov, Lie Wang — 2011
• Accelerated Stochastic Gradient Method for Composite RegularizationWenliang Zhong, James T. Kwok — 2014
• SMOOTH CONVEX APPROXIMATION AND ITS APPLICATIONSShi Shengyuan — 2004
• Smoothing techniques for convex problems. Applications in image processing.Pierre Weiss, Mikaël Carlavan, Laure Blanc‐Féraud — 2009
• Randomized First-Order Methods for Saddle Point OptimizationCong D. Dang, Guanghui Lan — 2014
• Distributed Optimization and Data Recovery for Wireless NetworkingRiccardo Masiero — 2011
• Robust Compressed Sensing Under Matrix UncertaintiesYipeng Liu, Maarten De Vos, Sabine Van Huffel — 2013
• Convex relaxations in nonconvex and applied optimizationJieqiu Chen — 2010
• Efficient Approximation Algorithms for Minimum Enclosing Convex ShapesAnkan Saha, S. V. N. Vishwanathan — 2009
• Matrix Analysis and ApplicationsXian‐Da Zhang — 2017

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