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Optimization of the Sherrington--Kirkpatrick Hamiltonian - MaRDI portal

Optimization of the Sherrington--Kirkpatrick Hamiltonian (Q5149754)

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scientific article; zbMATH DE number 7307638

Language	Label	Description	Also known as
English	Optimization of the Sherrington--Kirkpatrick Hamiltonian	scientific article; zbMATH DE number 7307638

Statements

scholarly article

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Optimization of the Sherrington--Kirkpatrick Hamiltonian (English)

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SIAM Journal on Computing

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publication date

8 February 2021

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full work available at URL

https://arxiv.org/abs/1812.10897

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zbMATH Keywords

Sherrington-Kirkpatrick

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spin glasses

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replica symmetry breaking

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message passing algorithms

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MaRDI profile type

MaRDI publication profile

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The algorithmic hardness threshold for continuous random energy models

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The Parisi formula has a unique minimizer

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Parisi formula for the ground state energy in the mixed \(p\)-spin model

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The SK Model Is Infinite Step Replica Symmetry Breaking at Zero Temperature

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An Introduction to Random Matrices

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Universality in polytope phase transitions and message passing algorithms

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The Dynamics of Message Passing on Dense Graphs, with Applications to Compressed Sensing

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State evolution for approximate message passing with non-separable functions

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An iterative construction of solutions of the TAP equations for the Sherrington-Kirkpatrick model

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Universality in Sherrington-Kirkpatrick's spin glass model

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Variational representations for the Parisi functional and the two-dimensional Guerra-Talagrand bound

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On the out-of-equilibrium relaxation of the Sherrington-Kirkpatrick model

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Analysis of the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>∞</mml:mi></mml:math>-replica symmetry breaking solution of the Sherrington-Kirkpatrick model

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Extremal cuts of sparse random graphs

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Statistical Mechanics of Learning

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Limits of local algorithms over sparse random graphs

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Broken replica symmetry bounds in the mean field spin glass model

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State evolution for general approximate message passing algorithms, with applications to spatial coupling

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A dynamic programming approach to the Parisi functional

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A CDMA multiuser detection algorithm on the basis of belief propagation

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Information, Physics, and Computation

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Semidefinite programs on sparse random graphs and their application to community detection

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Statistical Physics of Spin Glasses and Information Processing

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Stochastic differential equations. An introduction with applications.

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The Parisi ultrametricity conjecture

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The Sherrington-Kirkpatrick Model

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Parisi measures

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The Parisi formula

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Construction of pure states in mean field models for spin glasses

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Optimal Transport

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Identifiers

10.1137/20M132016X

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:5149754

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