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From mesoscale back to microscale: reconstruction schemes for coarse-grained stochastic lattice systems
journal contribution
posted on 2023-06-08, 15:46 authored by José Trashorras, Dimitrios K TsagkarogiannisStarting 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.
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- Published
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- Published version
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SIAM Journal on Numerical AnalysisISSN
0036-1429Publisher
Society for Industrial and Applied MathematicsExternal DOI
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5Volume
48Page range
1647-1677Department affiliated with
- Mathematics Publications
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- Yes
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- Yes
Legacy Posted Date
2013-09-17First Open Access (FOA) Date
2013-09-17First Compliant Deposit (FCD) Date
2013-09-17Usage metrics
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