In this work, we propose and analyze a new local time-decoupled squared Wasserstein-2 method for reconstructing the distribution of unknown parameters in dynamical systems from a finite number of observed temporal trajectories. Specifically, we show that a stochastic neural network model, which can be effectively trained by minimizing our proposed local time-decoupled squared Wasserstein-2 loss function, is an effective model for approximating the distribution of uncertain model parameters in dynamical systems. Through several numerical examples, we showcase the effectiveness of our proposed method in reconstructing the distribution of parameters in different dynamical systems.
Journal article
2026-01-01T00:00:00+00:00
193
Department of Mathematics, University of Houston, Philip Guthrie Hoffman Hall, 3551 Cullen Blvd, Houston, TX, 77204, USA. Electronic address: mxia4@uh.edu.
Uncertainty, Stochastic Processes, Algorithms, Time Factors, Neural Networks, Computer