Author

Ting Gao

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Preprint Sep 2026

History-Conditioned Inference of Memory and Stochastic Forcing in Generalized Langevin Equations under L\'evy Noise

We consider the identification of memory and stochastic forcing in a one-dimensional generalized Langevin equation with state-dependent Brownian noise and optional additive symmetric $\alpha$-stable jumps. A finite-dimensional Markov embedding provides Kramers--Moyal conditional moment relations that separate memory dr...

Yang Yang, Ting Gao, Xiao-Li Chen · 0 citations

Preprint Jul 2026

Geometric Methods for Stochastic Dynamical Systems

Geometric methods are indispensable for analyzing, predicting, and mitigating the complex behaviors inherent in nonlinear systems. In this regime, the most probable transition path minimizes the Onsager-Machlup action functional, marking the likeliest route across an energy barrier. Lifting the analysis from individual...

Jin-Qiao Duan, Ting Gao, Qiao Huang et al. · 0 citations

Open access Dec 2025

Learning Lévy density via adaptive RKHS regression with bi-level optimization

Numerical experiments demonstrate that the bilevel RKHS method provides a more stable and competitive alternative to classical L-curve and generalized cross-validation strategies and that the adaptive RKHS norm is more accurate and robust than Lρ2- and ℓ2-norms for regularization.

Luxuan Yang, Fei Lu, Ting Gao et al. · Inverse Problems · 0 citations