The Generalized Bregman Distance (Q5147034)

scientific article; zbMATH DE number 7304310

Language	Label	Description	Also known as
English	The Generalized Bregman Distance	scientific article; zbMATH DE number 7304310

Statements

instance of

scholarly article

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title

The Generalized Bregman Distance (English)

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author

Minh N. Dao

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Scott B. Lindstrom

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Regina Sandra Burachik

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published in

SIAM Journal on Optimization

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publication date

2 February 2021

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full work available at URL

https://arxiv.org/abs/1909.08206

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zbMATH Keywords

Bregman distance

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generalized Bregman distance

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convex function

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Fitzpatrick distance

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Fitzpatrick function

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representative function

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regularization

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MaRDI profile type

MaRDI publication profile

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ESSENTIAL SMOOTHNESS, ESSENTIAL STRICT CONVEXITY, AND LEGENDRE FUNCTIONS IN BANACH SPACES

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Convex analysis and monotone operator theory in Hilbert spaces

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Q3412058

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Regularizing with Bregman--Moreau Envelopes

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Proximal Averages for Minimization of Entropy Functionals

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Q3422487

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Q2821624

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Q3004796

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Fitzpatrick functions, cyclic monotonicity and Rockafellar's antiderivative

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Q3654591

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Q5580053

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Inexact Proximal Point Methods for Variational Inequality Problems

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A Generalized Proximal Point Algorithm for the Variational Inequality Problem in a Hilbert Space

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A generalized proximal point algorithm for the nonlinear complementarity problem

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Set-valued mappings and enlargement of monotone operators.

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On a generalized proximal point method for solving equilibrium problems in Banach spaces

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On Bregman-type distances for convex functions and maximally monotone operators

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A Proximal Point Method for the Variational Inequality Problem in Banach Spaces

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Maximal monotone operators, convex functions and a special family of enlargements

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Proximity function minimization using multiple Bregman projections, with applications to split feasibility and Kullback--Leibler distance minimization

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Block-Iterative Algorithms with Underrelaxed Bregman Projections

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An interior point method with Bregman functions for the variational inequality problem with paramonotone operators

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An iterative row-action method for interval convex programming

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Proximal minimization algorithm with \(D\)-functions

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Q4718793

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Convergence Analysis of a Proximal-Like Minimization Algorithm Using Bregman Functions

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On the Lambert \(w\) function

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Nonlinear Proximal Point Algorithms Using Bregman Functions, with Applications to Convex Programming

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Finite-Dimensional Variational Inequalities and Complementarity Problems

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Q3822723

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Proximal Minimization Methods with Generalized Bregman Functions

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Proximité et dualité dans un espace hilbertien

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Two Strong Convergence Theorems for a Proximal Method in Reflexive Banach Spaces

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Re-examination of Bregman functions and new properties of their divergences

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Variational Analysis

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Forward-Backward Envelope for the Sum of Two Nonconvex Functions: Further Properties and Nonmonotone Linesearch Algorithms

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Identifiers

DOI

10.1137/19M1288140

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5147034