Quanjun Lang, and Fei Lu. "Learning interaction kernels in mean-field equations of first-order
systems of interacting particles."
SIAM Journal on Scientific Computing 44.1 (2022): A260-A285.
[journal
| arXiv]
Quanjun Lang, and Fei Lu. "Identifiability of interaction kernels in mean-field equations of
interacting particles."
Foundation of Data Science 2023, Volume 5, Issue 4: 480-502.
[journal | arXiv]
Fei Lu, Quanjun Lang, and Qingci An. "Data adaptive RKHS Tikhonov regularization for learning
kernels in operators."
Proceedings of Mathematical and Scientific Machine Learning, PMLR 190:158-172, 2022.
[conference | arXiv]
Neil K Chada, Quanjun Lang, Fei Lu, and Xiong Wang. "A data-adaptive prior for Bayesian learning of
kernels in operators."
Journal of Machine Learning Research 25 (317), 1-37
[journal |arXiv]
Fabrice Baudoin, Quanjun Lang, and Yannick Sire. "Extension method in Dirichlet spaces with
sub-Gaussian estimates and applications to regularity of jump processes on fractals."
Communications in Analysis and Geometry (to appear)
[arXiv]
Quanjun Lang, and Jianfeng Lu. "Learning Memory Kernels in Generalized Langevin Equations."
SIAM Journal on Mathematics of Data Science (to appear)
[arXiv]
Yuan Gao, Quanjun Lang, and Fei Lu. "Self-test loss functions for learning weak-form operators and
gradient flows."
Journal of Scientific Computing (to appear)
[arXiv]
Preprints (Under review)
Quanjun Lang, and Jianfeng Lu. "Error estimates for learning and approximating generalized Langevin equations."
[arXiv]
Quanjun Lang, and Jianfeng Lu. "A unified blockwise measurement design for learning quantum channels
and Lindbladians via low-rank matrix sensing."
[arXiv]
Quanjun Lang, Xiong Wang, Fei Lu, and Mauro Maggioni. "Interacting Particle Systems on Networks:
joint inference of the network and the interaction kernel."
[arXiv]
Quanjun Lang, and Fei Lu. "Small noise analysis for Tikhonov and RKHS regularizations."
[arXiv]
Fabrice Baudoin, Quanjun Lang, and Yannick Sire. "Powers of generators on Dirichlet spaces and
applications to Harnack principles."
[arXiv]
In Preparation
Quanjun Lang, Xiong Wang, Fei Lu, and Mauro Maggioni. "Learning multitype heterogeneous interacting particle systems on networks."