Papers › Data Driven Computing with Noisy Material Data Sets

Data Driven Computing with Noisy Material Data Sets

1 Nov 2017Computer Methods in Applied Mechanics and Engineering 2017 11archive 2025-07-28

T.Kirchdoerfer, M.Ortiz

We formulate a Data Driven Computing paradigm, termed max-ent Data Driven Computing, that generalizes distance-minimizing Data Driven Computing and is robust with respect to outliers. Robustness is achieved by means of clustering analysis. Specifically, we assign data points a variable relevance depending on distance to the solution and on maximum-entropy estimation. The resulting scheme consists of the minimization of a suitably-defined free energy over phase space subject to compatibility and equilibrium constraints. Distance-minimizing Data Driven schemes are recovered in the limit of zero temperature. We present selected numerical tests that establish the convergence properties of the max-ent Data Driven solvers and solutions.

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ClusteringStress-Strain Relation

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Stress-Strain Relation Non-Linear Elasticity Benchmark NLP Time (ms) 13.8 #3 of 4 Archive leaderboard report

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