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DeepParticle: Learning invariant measure by a deep neural network minimizing Wasserstein distance on data generated from an interacting particle method

Zhongjian Wang, Jack Xin, Zhiwen Zhang

2022Journal of Computational Physics11 citationsDOI

Topics & Concepts

Invariant measureMathematicsInvariant (physics)ChaoticArtificial neural networkComputationDynamical systems theoryMeasure (data warehouse)Probability distributionApplied mathematicsMathematical optimizationAlgorithmComputer scienceMathematical analysisArtificial intelligenceMathematical physicsQuantum mechanicsErgodic theoryDatabaseStatisticsPhysicsModel Reduction and Neural NetworksProbabilistic and Robust Engineering DesignLattice Boltzmann Simulation Studies
DeepParticle: Learning invariant measure by a deep neural network minimizing Wasserstein distance on data generated from an interacting particle method | Litcius