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检索条件"主题词=weakly convex functions"
7 条 记 录,以下是1-10 订阅
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Inexact proximal methods for weakly convex functions
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JOURNAL OF GLOBAL OPTIMIZATION 2025年 第3期91卷 611-646页
作者: Khanh, Pham Duy Mordukhovich, Boris S. Phat, Vo Thanh Tran, Dat Ba Ho Chi Minh City Univ Educ Dept Math Grp Anal & Appl Math Ho Chi Minh City Vietnam Wayne State Univ Dept Math Detroit MI 48202 USA Univ North Dakota Dept Math & Stat Grand Forks ND USA
This paper proposes and develops inexact proximal methods for finding stationary points of the sum of a smooth function and a nonsmooth weakly convex one, where an error is present in the calculation of the proximal m... 详细信息
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Calculus rules for proximal ε-subdifferentials and inexact proximity operators for weakly convex functions
Calculus rules for proximal ε-subdifferentials and inexact ...
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European Control Conference (ECC)
作者: Bednarczuk, Ewa Bruccola, Giovanni Scrivanti, Gabriele Tran, The Hung PAS Syst Res Inst Newelska 6 PL-01447 Warsaw Poland Warsaw Univ Technol Koszykowa 75 PL-00662 Warsaw Poland Univ Paris Saclay Cent Supelec Inria CVN 3 Rue Joliot Curie Gif Sur Yvette France
We investigate proximal epsilon-subdifferentials and derive sum rules that hold for weakly convex function, by incorporating the corresponding moduli of weak convexity into the respective formulas. As an application, ... 详细信息
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Accelerated algorithms for convex and non-convex optimization on manifolds
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MACHINE LEARNING 2025年 第3期114卷 1-24页
作者: Lin, Lizhen Saparbayeva, Bayan Zhang, Michael Minyi Dunson, David B. Univ Maryland Dept Math William E Kirwan Hall College Pk MD 20742 USA Univ Rochester Dept Biostat & Computat Biol 265 Crittenden Blvd Rochester NY 14642 USA Univ Hong Kong Dept Stat & Actuarial Sci Pok Fu Lam Rd Hong Kong Peoples R China Duke Univ Dept Stat Sci 214 Old Chem Durham NC 27708 USA
We propose a general scheme for solving convex and non-convex optimization problems on manifolds. The central idea is that, by adding a multiple of the squared retraction distance to the objective function in question... 详细信息
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Moreau Envelope ADMM for Decentralized weakly convex Optimization
Moreau Envelope ADMM for Decentralized Weakly Convex Optimiz...
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Asia-Pacific-Signal-and-Information-Processing-Association Annual Summit and Conference (APSIPA ASC)
作者: Mirzaeifard, Reza Venkategowda, Naveen K. D. Jung, Alexander Werner, Stefan Norwegian Univ Sci & Technol Dept Elect Syst Trondheim Norway Linkoping Univ Dept Sci & Technol Linkoping Sweden Aalto Univ Dept Comp Sci Espoo Finland
This paper proposes a proximal variant of the alternating direction method of multipliers (ADMM) for distributed optimization. Although the current versions of ADMM algorithm provide promising numerical results in pro... 详细信息
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A zeroth order method for stochastic weakly convex optimization
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COMPUTATIONAL OPTIMIZATION AND APPLICATIONS 2021年 第3期80卷 731-753页
作者: Kungurtsev, V Rinaldi, F. Czech Tech Univ Fac Elect Engn Dept Comp Sci Prague Czech Republic Univ Padua Dipartimento Matemat Tullio Levi Civita Via Trieste 63 I-35121 Padua Italy
In this paper, we consider stochastic weakly convex optimization problems, however without the existence of a stochastic subgradient oracle. We present a derivative free algorithm that uses a two point approximation f... 详细信息
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Cyclic hypomonotonicity, cyclic submonotonicity, and integration
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JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS 2004年 第1期122卷 19-39页
作者: Daniilidis, A Georgiev, P Univ Sofia Dept Math & Informat BU-1126 Sofia Bulgaria
Rockafellar has shown that the subdifferentials of convex functions are always cyclically monotone operators. Moreover, maximal cyclically monotone operators are necessarily operators of this type, since one can const... 详细信息
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On optimization properties of functions, with a concave minorant
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JOURNAL OF GLOBAL OPTIMIZATION 1999年 第1期14卷 79-101页
作者: Khamisov, O Siberian Power Energy Inst Irkutsk 664033 Russia
We give a definition of the class of functions with a concave minorant and compare these functions with other classes of functions often used in global optimization, e.g. weakly convex functions, d.c. functions, Lipsc... 详细信息
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