Exponential Runge-Kutta for the inhomogeneous Boltzmann equations with high order of accuracy. - Qin Li 007; Lorenzo Pareschi (J. Comput. Phys., 2014)

Sparse + low-energy decomposition for viscous conservation laws. - Thomas Y. Hou 001; Qin Li 007; Hayden Schaeffer (J. Comput. Phys., 2015)

Diffusion approximations and domain decomposition method of linear transport equations: Asymptotics and numerics. - Qin Li 007; Jianfeng Lu 001; Weiran Sun (J. Comput. Phys., 2015)

Asymptotic-Preserving Exponential Methods for the Quantum Boltzmann Equation with High-Order Accuracy. - Jingwei Hu; Qin Li 007; Lorenzo Pareschi (J. Sci. Comput., 2015)

A Multiband Semiclassical Model for Surface Hopping Quantum Dynamics. - Lihui Chai; Shi Jin 003; Qin Li 007; Omar Morandi (Multiscale Model. Simul., 2015)

Uniform Regularity for Linear Kinetic Equations with Random Input Based on Hypocoercivity. - Qin Li 007; Li Wang 101 (SIAM/ASA J. Uncertain. Quantification, 2017)

A Sparse Decomposition of Low Rank Symmetric Positive Semidefinite Matrices. - Thomas Y. Hou 001; Qin Li 007; Pengchuan Zhang (Multiscale Model. Simul., 2017)

Exploring the Locally Low Dimensional Structure in Solving Random Elliptic PDEs. - Thomas Y. Hou 001; Qin Li 007; Pengchuan Zhang (Multiscale Model. Simul., 2017)

An Asymptotic Preserving Method for Transport Equations with Oscillatory Scattering Coefficients. - Qin Li 007; Jianfeng Lu 001 (Multiscale Model. Simul., 2017)

Half-space kinetic equations with general boundary conditions. - Qin Li 007; Jianfeng Lu 001; Weiran Sun (Math. Comput., 2017)

Galerkin Methods for Stationary Radiative Transfer Equations with Uncertain Coefficients. - Xinghui Zhong; Qin Li 007 (J. Sci. Comput., 2018)

Stability of Inverse Transport Equation in Diffusion Scaling and Fokker-Planck Limit. - Ke Chen; Qin Li 007; Li Wang 101 (SIAM J. Appl. Math., 2018)

A New Numerical Approach to Inverse Transport Equation with Error Analysis. - Qin Li 007; Ruiwen Shu; Li Wang 101 (SIAM J. Numer. Anal., 2018)

A low-rank Schwarz method for radiative transport equation with heterogeneous scattering coefficient. - Ke Chen; Qin Li 007; Jianfeng Lu 001; Stephen J. Wright 001 (CoRR, 2019)

Error analysis of an asymptotic preserving dynamical low-rank integrator for the multi-scale radiative transfer equation. - Zhiyan Ding; Lukas Einkemmer; Qin Li 007 (CoRR, 2019)

Mean-field limit and numerical analysis for Ensemble Kalman Inversion: linear setting. - Zhiyan Ding; Qin Li 007 (CoRR, 2019)

Structured random sketching for PDE inverse problems. - Ke Chen; Qin Li 007; Kit Newton; Steve Wright (CoRR, 2019)

Schwarz iteration method for elliptic equation with rough media based on random sampling. - Ke Chen; Qin Li 007; Stephen J. Wright 001 (CoRR, 2019)

Error Lower Bounds of Constant Step-size Stochastic Gradient Descent. - Zhiyan Ding; Yiding Chen; Qin Li 007; Xiaojin Zhu 001 (CoRR, 2019)

Ensemble Kalman Sampling: mean-field limit and convergence analysis. - Zhiyan Ding; Qin Li 007 (CoRR, 2019)

Diffusion Equation-Assisted Markov Chain Monte Carlo Methods for the Inverse Radiative Transfer Equation. - Qin Li 007; Kit Newton (Entropy, 2019)

A numerical method for coupling the BGK model and Euler equations through the linearized Knudsen layer. - Hongxu Chen; Qin Li 007; Jianfeng Lu 001 (J. Comput. Phys., 2019)

Numerical Analysis for Conservation Laws Using l1 Minimization. - Anne Gelb; X. Hou; Qin Li 007 (J. Sci. Comput., 2019)

Inverse Problems for the Stationary Transport Equation in the Diffusion Scaling. - Ru-Yu Lai; Qin Li 007; Gunther Uhlmann (SIAM J. Appl. Math., 2019)

Variance reduction for Random Coordinate Descent-Langevin Monte Carlo. - Zhiyan Ding; Qin Li 007 (NeurIPS, 2020)

Semi-classical limit for the varying-mass Schrödinger equation with random inhomogeneities. - Shi Chen 003; Qin Li 007; Xu Yang 018 (CoRR, 2020)

Ensemble Kalman Inversion for nonlinear problems: weights, consistency, and variance bounds. - Zhiyan Ding; Qin Li 007; Jianfeng Lu 001 (CoRR, 2020)

Variance reduction for Langevin Monte Carlo in high dimensional sampling problems. - Zhiyan Ding; Qin Li 007 (CoRR, 2020)

Semi-classical limit of an inverse problem for the Schrödinger equation. - Shi Chen 003; Qin Li 007 (CoRR, 2020)

Sensitivity Analysis of Burgers' Equation with Shocks. - Qin Li 007; Jian-Guo Liu; Ruiwen Shu (SIAM/ASA J. Uncertain. Quantification, 2020)

Randomized Sampling for Basis Function Construction in Generalized Finite Element Methods. - Ke Chen; Qin Li 007; Jianfeng Lu 001; Stephen J. Wright 001 (Multiscale Model. Simul., 2020)

Generalized Multiscale Finite Element Method for the Steady State Linear Boltzmann Equation. - Eric T. Chung 001; Yalchin Efendiev; Yanbo Li; Qin Li 007 (Multiscale Model. Simul., 2020)

Diffusive Optical Tomography in the Bayesian Framework. - Kit Newton; Qin Li 007; Andrew M. Stuart (Multiscale Model. Simul., 2020)

Parameter Reconstruction for General Transport Equation. - Ru-Yu Lai; Qin Li 007 (SIAM J. Math. Anal., 2020)

Structured Random Sketching for PDE Inverse Problems. - Ke Chen; Qin Li 007; Kit Newton; Stephen J. Wright 001 (SIAM J. Matrix Anal. Appl., 2020)

Random Sampling and Efficient Algorithms for Multiscale PDEs. - Ke Chen; Qin Li 007; Jianfeng Lu 001; Stephen J. Wright 001 (SIAM J. Sci. Comput., 2020)

Random Coordinate Underdamped Langevin Monte Carlo. - Zhiyan Ding; Qin Li 007; Jianfeng Lu 001; Stephen J. Wright 001 (AISTATS, 2021)

Random Coordinate Langevin Monte Carlo. - Zhiyan Ding; Qin Li 007; Jianfeng Lu 001; Stephen J. Wright 001 (COLT, 2021)

Multiscale Convergence of the Inverse Problem for Chemotaxis in the Bayesian Setting. - Kathrin Hellmuth; Christian Klingenberg; Qin Li 007; Min Tang 002 (Comput., 2021)

Constrained Ensemble Langevin Monte Carlo. - Zhiyan Ding; Qin Li 007 (CoRR, 2021)

Bridging and Improving Theoretical and Computational Electric Impedance Tomography via Data Completion. - Tan Bui-Thanh; Qin Li 007; Leonardo Zepeda-Núñez (CoRR, 2021)

On the Global Convergence of Gradient Descent for multi-layer ResNets in the mean-field regime. - Zhiyan Ding; Shi Chen 003; Qin Li 007; Stephen J. Wright 001 (CoRR, 2021)

A reduced order Schwarz method for nonlinear multiscale elliptic equations based on two-layer neural networks. - Shi Chen 003; Zhiyan Ding; Qin Li 007; Stephen J. Wright 001 (CoRR, 2021)

Low-rank approximation for multiscale PDEs. - Ke Chen; Shi Chen 003; Qin Li 007; Jianfeng Lu 001; Stephen J. Wright 001 (CoRR, 2021)

Classical limit for the varying-mass Schrödinger equation with random inhomogeneities. - Shi Chen 003; Qin Li 007; Xu Yang 018 (J. Comput. Phys., 2021)

Langevin Monte Carlo: random coordinate descent and variance reduction. - Zhiyan Ding; Qin Li 007 (J. Mach. Learn. Res., 2021)

A Low-Rank Schwarz Method for Radiative Transfer Equation With Heterogeneous Scattering Coefficient. - Ke Chen; Qin Li 007; Jianfeng Lu 001; Stephen J. Wright 001 (Multiscale Model. Simul., 2021)

Ensemble Kalman inversion: mean-field limit and convergence analysis. - Zhiyan Ding; Qin Li 007 (Stat. Comput., 2021)

Reconstruction of the Emission Coefficient in the Nonlinear Radiative Transfer Equation. - Christian Klingenberg; Ru-Yu Lai; Qin Li 007 (SIAM J. Appl. Math., 2021)

Ensemble Kalman Sampler: Mean-field Limit and Convergence Analysis. - Zhiyan Ding; Qin Li 007 (SIAM J. Math. Anal., 2021)

Dynamical Low-Rank Integrator for the Linear Boltzmann Equation: Error Analysis in the Diffusion Limit. - Zhiyan Ding; Lukas Einkemmer; Qin Li 007 (SIAM J. Numer. Anal., 2021)

Bayesian Instability of Optical Imaging: Ill Conditioning of Inverse Linear and Nonlinear Radiative Transfer Equation in the Fluid Regime. - Qin Li 007; Kit Newton; Li Wang 101 (Comput., 2022)

Second-order diffusion limit for the phonon transport equation-asymptotics and numerics. - Anjali Nair; Qin Li 007; Weiran Sun (CoRR, 2022)

Computation of optimal beams in weak turbulence. - Qin Li 007; Anjali Nair; Samuel N. Stechmann (CoRR, 2022)

Solving the Wide-band Inverse Scattering Problem via Equivariant Neural Networks. - Borong Zhang; Leonardo Zepeda-Núñez; Qin Li 007 (CoRR, 2022)

Overparameterization of Deep ResNet: Zero Loss and Mean-field Analysis. - Zhiyan Ding; Shi Chen 003; Qin Li 007; Stephen J. Wright 001 (J. Mach. Learn. Res., 2022)

Reconstructing the Thermal Phonon Transmission Coefficient at Solid Interfaces in the Phonon Transport Equation. - Irene M. Gamba; Qin Li 007; Anjali Nair (SIAM J. Appl. Math., 2022)

Bridging and Improving Theoretical and Computational Electrical Impedance Tomography via Data Completion. - Tan Bui-Thanh; Qin Li 007; Leonardo Zepeda-Núñez (SIAM J. Sci. Comput., 2022)

Manifold Learning and Nonlinear Homogenization. - Shi Chen 003; Qin Li 007; Jianfeng Lu 001; Stephen J. Wright 001 (Multiscale Model. Simul., 2022)

Differential-Equation Constrained Optimization With Stochasticity. - Qin Li 007; Li Wang 101; Yunan Yang (CoRR, 2023)

On optimal bases for multiscale PDEs and Bayesian homogenization. - Shi Chen 003; Zhiyan Ding; Qin Li 007; Stephen J. Wright 001 (CoRR, 2023)

Correcting auto-differentiation in neural-ODE training. - Yewei Xu; Shi Chen 003; Qin Li 007; Stephen J. Wright 001 (CoRR, 2023)

Numerical reconstruction of the kinetic chemotaxis kernel from macroscopic measurement, wellposedness and illposedness. - Kathrin Hellmuth; Christian Klingenberg; Qin Li 007; Min Tang 002 (CoRR, 2023)

Accelerating optimization over the space of probability measures. - Shi Chen 003; Qin Li 007; Oliver Tse; Stephen J. Wright 001 (CoRR, 2023)

High-Frequency Limit of the Inverse Scattering Problem: Asymptotic Convergence from Inverse Helmholtz to Inverse Liouville. - Shi Chen 003; Zhiyan Ding; Qin Li 007; Leonardo Zepeda-Núñez (SIAM J. Imaging Sci., 2023)

Monte Carlo Gradient in Optimization Constrained by Radiative Transport Equation. - Qin Li 007; Li Wang 101; Yunan Yang (SIAM J. Numer. Anal., 2023)

A Good Score Does not Lead to A Good Generative Model. - Sixu Li; Shi Chen 003; Qin Li 007 (CoRR, 2024)

Optimal experimental design via gradient flow. - Ruhui Jin; Martin Guerra; Qin Li 007; Stephen J. Wright 001 (CoRR, 2024)

Bayesian sampling using interacting particles. - Shi Chen 003; Zhiyan Ding; Qin Li 007 (CoRR, 2024)

Unique reconstruction for discretized inverse problems: a random sketching approach. - Ruhui Jin; Qin Li 007; Anjali Nair; Samuel N. Stechmann (CoRR, 2024)

Back-Projection Diffusion: Solving the Wideband Inverse Scattering Problem with Diffusion Models. - Borong Zhang; Martin Guerra; Qin Li 007; Leonardo Zepeda-Núñez (CoRR, 2024)

Preserving positivity of Gauss-Newton Hessian through random sampling. - Kathrin Hellmuth; Christian Klingenberg; Qin Li 007 (CoRR, 2024)

Continuous nonlinear adaptive experimental design with gradient flow. - Ruhui Jin; Qin Li 007; Stephen O. Mussmann; Stephen J. Wright 001 (CoRR, 2024)

Differential Equation-Constrained Optimization with Stochasticity. - Qin Li 007; Li Wang 033; Yunan Yang (SIAM/ASA J. Uncertain. Quantification, 2024)

Inference of Interaction Kernels in Mean-Field Models of Opinion Dynamics. - Weiqi Chu; Qin Li 007; Mason A. Porter (SIAM J. Appl. Math., 2024)

Swarm-Based Gradient Descent Meets Simulated Annealing. - Zhiyan Ding; Martin Guerra; Qin Li 007; Eitan Tadmor (SIAM J. Numer. Anal., 2024)

Suppressing instability in a Vlasov-Poisson system by an external electric field through constrained optimization. - Lukas Einkemmer; Qin Li 007; Li Wang 101; Yunan Yang (J. Comput. Phys., 2024)

Kinetic Chemotaxis Tumbling Kernel Determined from Macroscopic Quantities. - Kathrin Hellmuth; Christian Klingenberg; Qin Li 007; Min Tang 002 (SIAM J. Math. Anal., 2024)

Control of instability in a Vlasov-Poisson system through an external electric field. - Lukas Einkemmer; Qin Li 007; Clément Mouhot; Yukun Yue (J. Comput. Phys., 2025)

Reconstructing the Kinetic Chemotaxis Kernel Using Macroscopic Data: Well-Posedness and Ill-Posedness. - Kathrin Hellmuth; Christian Klingenberg; Qin Li 007; Min Tang 002 (SIAM J. Appl. Math., 2025)