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From mesoscale back to microscale: reconstruction schemes for coarse-grained stochastic lattice systems

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posted on 2023-06-08, 15:46 authored by José Trashorras, Dimitrios K Tsagkarogiannis
Starting from a microscopic stochastic lattice spin system and the corresponding coarse-grained model we introduce a mathematical strategy to recover microscopic information given the coarse-grained data. We de?ne “reconstructed” microscopic measures satisfying two conditions: (i) they are close in speci?c relative entropy to the initial microscopic equilibrium measure conditioned on the coarse-grained, data, and (ii) their sampling is computationally advantageous when compared to sampling directly from the conditioned microscopic equilibrium measure. By using different techniques we consider the cases of both short and long range microscopic models.

History

Publication status

  • Published

File Version

  • Published version

Journal

SIAM Journal on Numerical Analysis

ISSN

0036-1429

Publisher

Society for Industrial and Applied Mathematics

Issue

5

Volume

48

Page range

1647-1677

Department affiliated with

  • Mathematics Publications

Full text available

  • Yes

Peer reviewed?

  • Yes

Legacy Posted Date

2013-09-17

First Open Access (FOA) Date

2013-09-17

First Compliant Deposit (FCD) Date

2013-09-17

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