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A novel derivation of the Marchenko-Pastur law through analog bipartite spin-glasses

A novel derivation of the Marchenko-Pastur law through analog bipartite spin-glasses

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_2136815651

A novel derivation of the Marchenko-Pastur law through analog bipartite spin-glasses

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Full title

A novel derivation of the Marchenko-Pastur law through analog bipartite spin-glasses

Publisher

Ithaca: Cornell University Library, arXiv.org

Journal title

arXiv.org, 2018-11

Language

English

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Publication information

Publisher

Ithaca: Cornell University Library, arXiv.org

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Scope and Contents

Contents

In this work we consider the {\em analog bipartite spin-glass} (or {\em real-valued restricted Boltzmann machine} in a neural network jargon), whose variables (those quenched as well as those dynamical) share standard Gaussian distributions. First, via Guerra's interpolation technique, we express its quenched free energy in terms of the natural ord...

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Full title

A novel derivation of the Marchenko-Pastur law through analog bipartite spin-glasses

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Record Identifier

TN_cdi_proquest_journals_2136815651

Permalink

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_2136815651

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E-ISSN

2331-8422

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