Quanjun Lang, Fei Lu.
“Learning interaction kernels in mean-field equations of first-order systems of interacting particles.”
SIAM Journal on Scientific Computing
2022: 44.1: A260–A285.
[journal | doi | arxiv]
Quanjun Lang, Fei Lu.
“Identifiability of interaction kernels in mean-field equations of interacting particles.”
Foundations of Data Science
2023: 5(4): 480–502.
[journal | doi | arxiv]
Fei Lu, Quanjun Lang, Qingci An.
“Data adaptive RKHS Tikhonov regularization for learning kernels in operators.”
Proceedings of Mathematical and Scientific Machine Learning (PMLR)
2022: 190: 158–172.
[conference | arxiv | pdf]
Neil K. Chada, Quanjun Lang, Fei Lu, Xiong Wang.
“A data-adaptive prior for Bayesian learning of kernels in operators.”
Journal of Machine Learning Research
2024: 25(317): 1–37.
[journal | arxiv | pdf]
Fabrice Baudoin, Quanjun Lang, 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
2025: 33(8): 1931–1973.
[arxiv | journal | doi]
Quanjun Lang, Jianfeng Lu.
“Learning memory kernels in generalized Langevin equations.”
SIAM Journal on Mathematics of Data Science
2026: 8(1): 141–166.
[arxiv | journal | doi | pdf]
Yuan Gao, Quanjun Lang, Fei Lu.
“Self-test loss functions for learning weak-form operators and gradient flows.”
Journal of Scientific Computing
.
[To appear | arXiv]
Quanjun Lang, Xiong Wang, Fei Lu, Mauro Maggioni.
“Interacting particle systems on networks: joint inference of the network and the interaction kernel.”
Applied and Computational Harmonic Analysis
.
[To appear | arXiv]
Preprints
Quanjun Lang, Jianfeng Lu.
“Error estimates for learning and approximating generalized Langevin equations.”
[arXiv]
Quanjun Lang, Jianfeng Lu.
“A unified blockwise measurement design for learning quantum channels and Lindbladians via low-rank matrix sensing.”
[arXiv]
Fabrice Baudoin, Quanjun Lang, Yannick Sire.
“Powers of generators on Dirichlet spaces and applications to Harnack principles.”
[arXiv]
Quanjun Lang, Fei Lu.
“Small noise analysis for Tikhonov and RKHS regularizations.”
[arXiv]