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Fei Lu
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Nonparametric inference of interaction laws in systems of agents from trajectory data
F Lu, M Zhong, S Tang, M Maggioni
Proceedings of the National Academy of Sciences 116 (29), 14424-14433, 2019
1332019
Discrete approach to stochastic parametrization and dimension reduction in nonlinear dynamics
AJ Chorin, F Lu
Proceedings of the National Academy of Sciences 112 (32), 9804-9809, 2015
1092015
Data-based stochastic model reduction for the Kuramoto–Sivashinsky equation
F Lu, KK Lin, AJ Chorin
Physica D: Nonlinear Phenomena 340, 46-57, 2017
852017
Learning interaction kernels in heterogeneous systems of agents from multiple trajectories
F Lu, M Maggioni, S Tang
Journal of Machine Learning Research 22 (32), 1-67, 2021
802021
Data-driven model reduction, Wiener projections, and the Koopman-Mori-Zwanzig formalism
KK Lin, F Lu
Journal of Computational Physics, 2020
752020
Limitations of polynomial chaos expansions in the Bayesian solution of inverse problems
F Lu, M Morzfeld, X Tu, AJ Chorin
Journal of Computational Physics 282, 138-147, 2015
562015
Feynman–Kac formula for the heat equation driven by fractional noise with Hurst parameter H< 1/2
Y Hu, F Lu, D Nualart
Ann. Probab. 40 (3), 1041-1068, 2012
512012
On the identifiability of interaction functions in systems of interacting particles
Z Li, F Lu, M Maggioni, S Tang, C Zhang
Stochastic Processes and Applications 132, 135-163, 2021
402021
Convergence of densities of some functionals of Gaussian processes
Y Hu, F Lu, D Nualart
Journal of Functional Analysis 266 (2), 814-875, 2014
352014
Learning interaction kernels in mean-field equations of 1st-order systems of interacting particles
Q Lang, F Lu
SIAM Journal on Scientific Computing 44 (1), A260–A285, 2022
322022
Comparison of continuous and discrete-time data-based modeling for hypoelliptic systems
F Lu, K Lin, A Chorin
Communications in Applied Mathematics and Computational Science 11 (2), 187-216, 2016
292016
Data-driven model reduction for stochastic Burgers equations
F Lu
Entropy 22 (12), 2020
222020
Identifiability of interaction kernels in mean-field equations of interacting particles
Q Lang, F Lu
Foundations of Data Science (FoDS) 5 (4), 480-502, 2023
212023
Accounting for model error from unresolved scales in ensemble Kalman filters by stochastic parameterization
F Lu, X Tu, AJ Chorin
Monthly Weather Review 145 (9), 3709-3723, 2017
192017
Nonparametric learning of kernels in nonlocal operators
F Lu, Q An, Y Yu
Journal of Peridynamics and Nonlocal Modeling, 2023
182023
Data adaptive RKHS Tikhonov regularization for learning kernels in operators
F Lu, Q Lang, Q An
Mathematical and Scientific Machine Learning, PMLR, 158-172, 2022
172022
Mathodyssey: Benchmarking mathematical problem-solving skills in large language models using odyssey math data
M Fang, X Wan, F Lu, F Xing, K Zou
arXiv preprint arXiv:2406.18321, 2024
162024
Sampling, feasibility, and priors in Bayesian estimation
AJ Chorin, F Lu, RN Miller, M Morzfeld, X Tu
Discrete and Continuous Dynamical Systems-Series A 36 (8), 2016
152016
Hölder continuity of the solutions for a class of nonlinear SPDE’s arising from one dimensional superprocesses
Y Hu, F Lu, D Nualart
Probability Theory and Related Fields 156, 27-49, 2013
152013
Learning Interaction Kernels in Stochastic Systems of Interacting Particles from Multiple Trajectories
F Lu, M Maggioni, S Tang
Foundations of Computational Mathematics 22, 1013–1067, 2021
92021
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