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cs.LG2025
Moment Estimates and DeepRitz Methods on Learning Diffusion Systems with Non-gradient Drifts
Fanze Kong, Chen-Chih Lai, Yubin Lu
Conservative-dissipative dynamics are ubiquitous across a variety of complex open systems. We propose a data-driven two-phase method, the Moment-DeepRitz Method, for learning drift…
physics.comp-ph2025
Moment Estimate and Variational Approach for Learning Generalized Diffusion with Non-gradient Structures
Fanze Kong, Chen-Chih Lai, Yubin Lu
This paper proposes a data-driven learning framework for identifying governing laws of generalized diffusions with non-gradient components. By combining energy dissipation laws wit…
math.PR2025
Entropy production rate and time-reversibility for general jump diffusions on
Qi Zhang, Yubin Lu
This paper investigates the entropy production rate and time-reversibility for general jump diffusions (Lévy processes) on . We first formulate the entropy production…