FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W3098725392> ?p ?o ?g. }

• W3098725392 endingPage "113301" @default.
• W3098725392 startingPage "113301" @default.
• W3098725392 abstract "Improved mean-field technics are a central theme of statistical physics methods applied to inference and learning. We revisit here some of these methods using high-temperature expansions for disordered systems initiated by Plefka, Georges and Yedidia. We derive the Gibbs free entropy and the subsequent self-consistent equations for a generic class of statistical models with correlated matrices and show in particular that many classical approximation schemes, such as adaptive TAP, Expectation-Consistency, or the approximations behind the Vector Approximate Message Passing algorithm all rely on the same assumptions, that are also at the heart of high-temperature expansions. We focus on the case of rotationally invariant random coupling matrices in the `high-dimensional' limit in which the number of samples and the dimension are both large, but with a fixed ratio. This encapsulates many widely studied models, such as Restricted Boltzmann Machines or Generalized Linear Models with correlated data matrices. In this general setting, we show that all the approximation schemes described before are equivalent, and we conjecture that they are exact in the thermodynamic limit in the replica symmetric phases. We achieve this conclusion by resummation of the infinite perturbation series, which generalizes a seminal result of Parisi and Potters. A rigorous derivation of this conjecture is an interesting mathematical challenge. On the way to these conclusions, we uncover several diagrammatical results in connection with free probability and random matrix theory, that are interesting independently of the rest of our work." @default.
• W3098725392 created "2020-11-23" @default.
• W3098725392 creator A5005381793 @default.
• W3098725392 creator A5037000437 @default.
• W3098725392 creator A5059038574 @default.
• W3098725392 creator A5068236230 @default.
• W3098725392 creator A5089268172 @default.
• W3098725392 creator A5091694724 @default.
• W3098725392 date "2019-11-01" @default.
• W3098725392 modified "2023-10-17" @default.
• W3098725392 title "High-temperature expansions and message passing algorithms" @default.
• W3098725392 cites W1925553720 @default.
• W3098725392 cites W1969143959 @default.
• W3098725392 cites W1970944708 @default.
• W3098725392 cites W1990755770 @default.
• W3098725392 cites W1991904924 @default.
• W3098725392 cites W2007593159 @default.
• W3098725392 cites W2014662635 @default.
• W3098725392 cites W2021115151 @default.
• W3098725392 cites W2023322777 @default.
• W3098725392 cites W2031399827 @default.
• W3098725392 cites W2055984460 @default.
• W3098725392 cites W2060581589 @default.
• W3098725392 cites W2069097920 @default.
• W3098725392 cites W2072184935 @default.
• W3098725392 cites W2073521724 @default.
• W3098725392 cites W2082029531 @default.
• W3098725392 cites W2085610073 @default.
• W3098725392 cites W2086979092 @default.
• W3098725392 cites W2087603457 @default.
• W3098725392 cites W2128084896 @default.
• W3098725392 cites W2151781750 @default.
• W3098725392 cites W2153906156 @default.
• W3098725392 cites W2166670884 @default.
• W3098725392 cites W2228653206 @default.
• W3098725392 cites W2320171901 @default.
• W3098725392 cites W2461546670 @default.
• W3098725392 cites W2490183153 @default.
• W3098725392 cites W2535736539 @default.
• W3098725392 cites W2753901572 @default.
• W3098725392 cites W2801490189 @default.
• W3098725392 cites W2901700660 @default.
• W3098725392 cites W2918745211 @default.
• W3098725392 cites W2919115771 @default.
• W3098725392 cites W2921637050 @default.
• W3098725392 cites W2945463326 @default.
• W3098725392 cites W2951582773 @default.
• W3098725392 cites W2962760202 @default.
• W3098725392 cites W2963405909 @default.
• W3098725392 cites W3098574683 @default.
• W3098725392 cites W3101693249 @default.
• W3098725392 cites W3104705077 @default.
• W3098725392 cites W3105033759 @default.
• W3098725392 cites W3105163160 @default.
• W3098725392 cites W3105911106 @default.
• W3098725392 cites W4248709896 @default.
• W3098725392 cites W4250955649 @default.
• W3098725392 cites W4293052541 @default.
• W3098725392 doi "https://doi.org/10.1088/1742-5468/ab4bbb" @default.
• W3098725392 hasPublicationYear "2019" @default.
• W3098725392 type Work @default.
• W3098725392 sameAs 3098725392 @default.
• W3098725392 citedByCount "19" @default.
• W3098725392 countsByYear W30987253922020 @default.
• W3098725392 countsByYear W30987253922021 @default.
• W3098725392 countsByYear W30987253922022 @default.
• W3098725392 countsByYear W30987253922023 @default.
• W3098725392 crossrefType "journal-article" @default.
• W3098725392 hasAuthorship W3098725392A5005381793 @default.
• W3098725392 hasAuthorship W3098725392A5037000437 @default.
• W3098725392 hasAuthorship W3098725392A5059038574 @default.
• W3098725392 hasAuthorship W3098725392A5068236230 @default.
• W3098725392 hasAuthorship W3098725392A5089268172 @default.
• W3098725392 hasAuthorship W3098725392A5091694724 @default.
• W3098725392 hasBestOaLocation W30987253921 @default.
• W3098725392 hasConcept C105795698 @default.
• W3098725392 hasConcept C118615104 @default.
• W3098725392 hasConcept C121332964 @default.
• W3098725392 hasConcept C121864883 @default.
• W3098725392 hasConcept C134261354 @default.
• W3098725392 hasConcept C134306372 @default.
• W3098725392 hasConcept C158693339 @default.
• W3098725392 hasConcept C2778409180 @default.
• W3098725392 hasConcept C2780990831 @default.
• W3098725392 hasConcept C28826006 @default.
• W3098725392 hasConcept C33923547 @default.
• W3098725392 hasConcept C39927690 @default.
• W3098725392 hasConcept C51329190 @default.
• W3098725392 hasConcept C62520636 @default.
• W3098725392 hasConcept C64812099 @default.
• W3098725392 hasConcept C70120467 @default.
• W3098725392 hasConceptScore W3098725392C105795698 @default.
• W3098725392 hasConceptScore W3098725392C118615104 @default.
• W3098725392 hasConceptScore W3098725392C121332964 @default.
• W3098725392 hasConceptScore W3098725392C121864883 @default.
• W3098725392 hasConceptScore W3098725392C134261354 @default.
• W3098725392 hasConceptScore W3098725392C134306372 @default.
• W3098725392 hasConceptScore W3098725392C158693339 @default.

• next