_:N7b76c044760844cf997b359ae5ef0252 "pub.1027584372" .
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"Iacopo" .
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_:N9fa2110959b645a4a1338ad3ba329fcb "4" .
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"658-670" .
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"I consider the problem of deriving couplings of a statistical model from measured correlations, a task which generalizes the well-known inverse Ising problem. After reminding that such problem can be mapped on the one of expressing the entropy of a system as a function of its corresponding observables, I show the conditions under which this can be done without resorting to iterative algorithms. I find that inverse problems are local (the inverse Fisher information is sparse) whenever the corresponding models have a factorized form, and the entropy can be split in a sum of small cluster contributions. I illustrate these ideas through two examples (the Ising model on a tree and the one-dimensional periodic chain with arbitrary order interaction) and support the results with numerical simulations. The extension of these methods to more general scenarios is finally discussed." .
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_:N9fa2110959b645a4a1338ad3ba329fcb .
_:N672140703df3465cad67651f784a64aa "readcube_id" .
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_:N6eaacb077dae4c5f877b625afa6c7b80 .
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"articles" .
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"1572-9613" .
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"2013-02" .
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"en" .
_:N8fdd56f4a5ec42c39fb820a2fb391947 "10.1007/s10955-013-0707-y" .
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"2013-02-01" .
"Capital Fund Management, Rue de l\u2019Universit\u00E9 23, 75007, Paris, France" .
"Capital Fund Management (France)" .
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_:N7d39133ed77a4207946aa9f4f3365ffe .
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"http://link.springer.com/10.1007%2Fs10955-013-0707-y" .
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_:N7d39133ed77a4207946aa9f4f3365ffe .
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_:Na63f1948ab8942559191f05ff0678b5e .
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"research_article" .
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"https://scigraph.springernature.com/explorer/license/" .
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"Statistics" .