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  1. The Scaled Polarity transform and related inequalities
    2025/02/17 by Shoni Gilboa, Alexander Segal, Gilboa, Shoni +3 · 1 citation
    Computer Science · #26A51 #46B10 #52A41 #FOS: Mathematics #Functional Analysis (math.FA) #Matrix Theory and Algorithms
  2. An optimal lower bound for smooth convex functions
    2024/04/29 by Florea, Mihai I., Nesterov, Yurii · 2 citations
    #52A41 #65B99 #65Y20 #68Q25 #90C25 #FOS: Mathematics #Optimization and Control (math.OC)
  3. Multispectral Image Restoration by Generalized Opponent Transformation Total Variation
    2024/03/19 by Zhantao Ma, Michael K. Ng, Ma, Zhantao +1 · 1 citation
    Computer Science · Engineering · #35A15 #52A41 #65F22 #65K10 #68U10 #Advanced Image Fusion Techniques #Computer Vision and Pattern Recognition (cs.CV) #FOS: Computer and information sciences #FOS: Mathematics #Image and Signal Denoising Methods #Numerical Analysis (math.NA)
  4. Hidden convexity, optimization, and algorithms on rotation matrices
    2023/04/17 by Ramachandran, Akshay, Shu, Kevin, Wang, Alex L. · 1 citation
    #52A41 #70G65 #90C22 #90C26 #FOS: Mathematics #Optimization and Control (math.OC)
  5. Minimizing a low-dimensional convex function over a high-dimensional cube
    2022/04/11 by Hunkenschröder, Christoph, Pokutta, Sebastian, Weismantel, Robert · 1 citation
    #52A41 #90C25 #90C27 #Discrete Mathematics (cs.DM) #FOS: Computer and information sciences #FOS: Mathematics #Optimization and Control (math.OC)
  6. The Hadwiger theorem on convex functions, II: Cauchy-Kubota formulas
    2021/09/20 by Colesanti, Andrea, Ludwig, Monika, Mussnig, Fabian · 2 citations
    #49Q20 #52A39 (Secondary) #52A41 #52B45 (Primary) 26B25 #FOS: Mathematics #Functional Analysis (math.FA) #Metric Geometry (math.MG)
  7. Global Convergence of Model Function Based Bregman Proximal Minimization Algorithms
    2020/12/24 by Mukkamala, Mahesh Chandra, Fadili, Jalal, Ochs, Peter · 1 citation
    #26B25 #49M27 #52A41 #65K05 #90C25 #Computer Vision and Pattern Recognition (cs.CV) #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Numerical Analysis (math.NA) #Optimization and Control (math.OC)
  8. Lipschitz Continuity of Convex Functions
    2019/11/12 by Nguyen, Bao Tran, Khanh, Pham Duy · 2 citations
    #26A16 #46N10 #52A41 #FOS: Mathematics #Functional Analysis (math.FA) #Optimization and Control (math.OC)
  9. A study of convex convex-composite functions via infimal convolution\n with applications
    2019/07/18 by James V. Burke, Tim Hoheisel, Burke, James V. +3 · 1 citation
    Computer Science · Mathematics · #52A41 #65K10 #90C25 #90C46 #Advanced Optimization Algorithms Research #FOS: Mathematics #Mathematical Inequalities and Applications #Optimization and Control (math.OC) #Optimization and Variational Analysis
  10. Convex-Concave Backtracking for Inertial Bregman Proximal Gradient\n Algorithms in Non-Convex Optimization
    2019/04/06 by Mahesh Chandra Mukkamala, Mukkamala, Mahesh Chandra, Peter Ochs +5 · 2 citations
    Computer Science · Engineering · Medicine · #26B25 #49M27 #52A41 #65K05 #90C25 #Computer Vision and Pattern Recognition (cs.CV) #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Numerical Analysis (math.NA) #Optical Imaging and Spectroscopy Techniques #Optimization and Control (math.OC) #Sparse and Compressive Sensing Techniques #Stochastic Gradient Optimization Techniques
  11. Discrete Midpoint Convexity
    2017/08/07 by Moriguchi, Satoko, Murota, Kazuo, Tamura, Akihisa +1 · 2 citations
    #52A41 #90C25 #90C27 #Combinatorics (math.CO) #FOS: Mathematics #Metric Geometry (math.MG)
  12. Competitive division of a mixed manna
    2017/02/02 by Bogomolnaia, Anna, Moulin, Herve, Sandomirskiy, Fedor +1 · 6 citations
    #52A41 #91B32 #91B50 #Computer Science and Game Theory (cs.GT) #FOS: Computer and information sciences #FOS: Mathematics #Optimization and Control (math.OC)
  13. Commutation principles in Euclidean Jordan algebras and normal decomposition systems
    2016/04/15 by M. Seetharama Gowda, Juyoung Jeong, Gowda, M. Seetharama +1 · 1 citation
    Computer Science · Mathematics · #17C20 #17C30 #52A41 #90C25 #Advanced Optimization Algorithms Research #Advanced Topics in Algebra #FOS: Mathematics #Matrix Theory and Algorithms #Optimization and Control (math.OC) #Rings and Algebras (math.RA)
  14. Strongly convex functions, Moreau envelopes and the generic nature of convex functions with strong minimizers
    2015/07/25 by Planiden, Chayne, Wang, Xianfu · 1 citation
    #52A41 #54E52 #90C25 #FOS: Mathematics #Optimization and Control (math.OC)
  15. Whitney Extension Theorems for convex functions of the classes C1 and C1,ω
    2015/07/14 by Daniel Azagra, Azagra, Daniel, Carlos Mudarra +1 · 3 citations
    Computer Science · Mathematics · #26B05 #35J96 #52A20 #52A41 #53A99 #53C45 #54C20 #58C25 #Advanced Banach Space Theory #Classical Analysis and ODEs (math.CA) #Differential Geometry (math.DG) #FOS: Mathematics #Nonlinear Differential Equations Analysis #Optimization and Variational Analysis
  16. Tensor theta norms and low rank recovery
    2015/05/19 by Rauhut, Holger, Stojanac, Željka · 1 citation
    #13P10 #15A60 #15A69 #52A41 #90C22 #90C25 #94A20 #FOS: Computer and information sciences #Information Theory (cs.IT)
  17. The resolvent average of monotone operators: dominant and recessive properties
    2015/05/11 by Sedi Bartz, Heinz H. Bauschke, Bartz, Sedi +5 · 2 citations
    Computer Science · Mathematics · #26A51 #26B25 #26E60 #47A63 (Secondary) #47H05 #47H09 #52A41 #90C25 (Primary) 15A09 #FOS: Mathematics #Fixed Point Theorems Analysis #Functional Analysis (math.FA) #Mathematical Inequalities and Applications #Optimization and Control (math.OC) #Optimization and Variational Analysis
  18. Interior-point algorithms for convex optimization based on primal-dual\n metrics
    2014/11/08 by Tor G. J. Myklebust, Levent Tunçel, Myklebust, Tor +2 · 1 citation
    Computer Science · Engineering · Mathematics · #49M37 #52A41 #65Y20 #90C05 #90C22 #90C25 #90C30 #90C51 #90C60 #Advanced Optimization Algorithms Research #FOS: Mathematics #Optimization and Control (math.OC) #Optimization and Variational Analysis #Sparse and Compressive Sensing Techniques
  19. Strong duality in conic linear programming: facial reduction and extended duals
    2013/01/31 by Gábor Pataki, Pataki, Gabor · 4 citations
    Mathematics · #49N15 #52A41 #90C22 #90C25 #90C46 #Commutative Algebra and Its Applications #FOS: Mathematics #Optimization and Control (math.OC) #secondary: 52A40
  20. On random convex analysis -- the analytic foundation of the module\n approach to conditional risk measures
    2012/10/05 by Tiexin Guo, Guo, Tiexin, Shien Zhao +3 · 2 citations
    Decision Sciences · Economics, Econometrics and Finance · Mathematics · #46A22 #46A25 #46H25 #47H40 #52A41 #91B16 #91B30 #91B70 #Decision-Making and Behavioral Economics #FOS: Economics and business #FOS: Mathematics #Functional Analysis (math.FA) #Fuzzy Systems and Optimization #Health Systems, Economic Evaluations, Quality of Life #Multi-Criteria Decision Making #Risk Management (q-fin.RM) #Risk and Portfolio Optimization
  21. Operations between sets in geometry
    2012/05/19 by Richard J. Gardner, Daniel Hug, Gardner, Richard J. +3 · 2 citations
    Mathematics · Physics and Astronomy · #52A30 #52A39 #52A41 #Advanced Differential Geometry Research #FOS: Mathematics #Mathematics and Applications #Metric Geometry (math.MG) #Point processes and geometric inequalities #Primary: 52A20 #secondary: 39B22
  22. Firmly nonexpansive mappings and maximally monotone operators: correspondence and duality
    2011/01/24 by Bauschke, Heinz H., Moffat, Sarah M., Wang, Xianfu · 2 citations
    #47H05 #47H09 (Primary) 26B25 #52A41 #90C25 (Secondary) #FOS: Mathematics #Functional Analysis (math.FA) #Optimization and Control (math.OC)
  23. Low-rank matrix recovery via iteratively reweighted least squares\n minimization
    2010/10/12 by Massimo Fornasier, Fornasier, Massimo, Holger Rauhut +3 · 1 citation
    Computer Science · Engineering · Medicine · #49M30 #52A41 #65J22 #65K10 #Advanced MRI Techniques and Applications #Blind Source Separation Techniques #Electrical and Bioimpedance Tomography #FOS: Mathematics #Numerical Analysis (math.NA) #Sparse and Compressive Sensing Techniques
  24. Blenders
    2010/08/26 by Bruce Reznick, Reznick, Bruce · 1 citation
    Computer Science · Mathematics · #11E25 #11E76 #11P05 #14P99 #26B25 #52A41 #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry (math.AG) #Combinatorics (math.CO) #FOS: Mathematics #Mathematical functions and polynomials #Number Theory (math.NT) #Polynomial and algebraic computation
  25. Hyperbolic polynomials and the Dirichlet problem
    2009/12/29 by Harvey, F. Reese, Lawson, H. Blaine · 1 citation
    #15A45 #35J25 #35J70 #52A41 #58J32 #90C05 #Analysis of PDEs (math.AP) #Combinatorics (math.CO) #Differential Geometry (math.DG) #FOS: Mathematics #Optimization and Control (math.OC)
  26. Self-scaled barriers for irreducible symmetric cones
    2001/04/02 by Hauser, Raphael A, Lim, Yongdo · 1 citation
    #52A41 #90C20 (secondary) #90C25 #90C60 (primary) 90C05 #FOS: Mathematics #Numerical Analysis (math.NA) #Optimization and Control (math.OC)