Qin Li

Publication Activity (10 Years)

Years Active: 2014-2024
Publications (10 Years): 64

Top Topics

Finite Element Methods

Positive Semidefinite Matrices

Top Venues

Multiscale Model. Simul.

SIAM J. Appl. Math.

J. Comput. Phys.

Publications

Ruhui Jin, Qin Li, Anjali Nair, Samuel N. Stechmann
Unique reconstruction for discretized inverse problems: a random sketching approach. CoRR (2024)
Weiqi Chu, Qin Li, Mason A. Porter
Inference of Interaction Kernels in Mean-Field Models of Opinion Dynamics. SIAM J. Appl. Math. 84 (3) (2024)
Kathrin Hellmuth, Christian Klingenberg, Qin Li, Min Tang
Kinetic Chemotaxis Tumbling Kernel Determined from Macroscopic Quantities. SIAM J. Math. Anal. 56 (1) (2024)
Lukas Einkemmer, Qin Li, Clément Mouhot, Yukun Yue
Control of Instability in a Vlasov-Poisson System Through an External Electric Field. CoRR (2024)
Shi Chen, Zhiyan Ding, Qin Li, Stephen J. Wright
On optimal bases for multiscale PDEs and Bayesian homogenization. CoRR (2023)
Qin Li, Li Wang, Yunan Yang
Monte Carlo Gradient in Optimization Constrained by Radiative Transport Equation. SIAM J. Numer. Anal. 61 (6) (2023)
Shi Chen, Zhiyan Ding, Qin Li, Leonardo Zepeda-Núñez
High-Frequency Limit of the Inverse Scattering Problem: Asymptotic Convergence from Inverse Helmholtz to Inverse Liouville. SIAM J. Imaging Sci. 16 (1) (2023)
Kathrin Hellmuth, Christian Klingenberg, Qin Li, Min Tang
Numerical reconstruction of the kinetic chemotaxis kernel from macroscopic measurement, wellposedness and illposedness. CoRR (2023)
Irene M. Gamba, Qin Li, Anjali Nair
Reconstructing the Thermal Phonon Transmission Coefficient at Solid Interfaces in the Phonon Transport Equation. SIAM J. Appl. Math. 82 (1) (2022)
Zhiyan Ding, Shi Chen, Qin Li, Stephen J. Wright
Overparameterization of Deep ResNet: Zero Loss and Mean-field Analysis. J. Mach. Learn. Res. 23 (2022)
Borong Zhang, Leonardo Zepeda-Núñez, Qin Li
Solving the Wide-band Inverse Scattering Problem via Equivariant Neural Networks. CoRR (2022)
Shi Chen, Qin Li, Jianfeng Lu, Stephen J. Wright
Manifold Learning and Nonlinear Homogenization. Multiscale Model. Simul. 20 (3) (2022)
Tan Bui-Thanh, Qin Li, Leonardo Zepeda-Núñez
Bridging and Improving Theoretical and Computational Electrical Impedance Tomography via Data Completion. SIAM J. Sci. Comput. 44 (3) (2022)
Qin Li, Kit Newton, Li Wang
Bayesian Instability of Optical Imaging: Ill Conditioning of Inverse Linear and Nonlinear Radiative Transfer Equation in the Fluid Regime. Comput. 10 (2) (2022)
Qin Li, Anjali Nair, Samuel N. Stechmann
Computation of optimal beams in weak turbulence. CoRR (2022)
Zhiyan Ding, Shi Chen, Qin Li, Stephen J. Wright
Overparameterization of deep ResNet: zero loss and mean-field analysis. CoRR (2021)
Zhiyan Ding, Qin Li
Constrained Ensemble Langevin Monte Carlo. CoRR (2021)
Ke Chen, Qin Li, Jianfeng Lu, Stephen J. Wright
A Low-Rank Schwarz Method for Radiative Transfer Equation With Heterogeneous Scattering Coefficient. Multiscale Model. Simul. 19 (2) (2021)
Kathrin Hellmuth, Christian Klingenberg, Qin Li, Min Tang
Multiscale Convergence of the Inverse Problem for Chemotaxis in the Bayesian Setting. Comput. 9 (11) (2021)
Shi Chen, Qin Li, Xu Yang
Classical limit for the varying-mass Schrödinger equation with random inhomogeneities. J. Comput. Phys. 438 (2021)
Zhiyan Ding, Qin Li, Jianfeng Lu, Stephen J. Wright
Random Coordinate Underdamped Langevin Monte Carlo. AISTATS (2021)
Zhiyan Ding, Qin Li
Ensemble Kalman Sampler: Mean-field Limit and Convergence Analysis. SIAM J. Math. Anal. 53 (2) (2021)
Zhiyan Ding, Qin Li
Ensemble Kalman inversion: mean-field limit and convergence analysis. Stat. Comput. 31 (1) (2021)
Christian Klingenberg, Ru-Yu Lai, Qin Li
Reconstruction of the Emission Coefficient in the Nonlinear Radiative Transfer Equation. SIAM J. Appl. Math. 81 (1) (2021)
Zhiyan Ding, Lukas Einkemmer, Qin Li
Dynamical Low-Rank Integrator for the Linear Boltzmann Equation: Error Analysis in the Diffusion Limit. SIAM J. Numer. Anal. 59 (4) (2021)
Qin Li, Jian-Guo Liu, Ruiwen Shu
Sensitivity Analysis of Burgers' Equation with Shocks. SIAM/ASA J. Uncertain. Quantification 8 (4) (2020)
Shi Chen, Qin Li
Semi-classical limit of an inverse problem for the Schrödinger equation. CoRR (2020)
Ke Chen, Qin Li, Kit Newton, Stephen J. Wright
Structured Random Sketching for PDE Inverse Problems. SIAM J. Matrix Anal. Appl. 41 (4) (2020)
Zhiyan Ding, Qin Li
Langevin Monte Carlo: random coordinate descent and variance reduction. CoRR (2020)
Shi Chen, Qin Li, Jianfeng Lu, Stephen J. Wright
Manifold Learning and Nonlinear Homogenization. CoRR (2020)
Zhiyan Ding, Qin Li
Variance reduction for Random Coordinate Descent-Langevin Monte Carlo. NeurIPS (2020)
Ke Chen, Qin Li, Jianfeng Lu, Stephen J. Wright
Random Sampling and Efficient Algorithms for Multiscale PDEs. SIAM J. Sci. Comput. 42 (5) (2020)
Ru-Yu Lai, Qin Li
Parameter Reconstruction for General Transport Equation. SIAM J. Math. Anal. 52 (3) (2020)
Zhiyan Ding, Qin Li, Jianfeng Lu, Stephen J. Wright
Random Coordinate Langevin Monte Carlo. CoRR (2020)
Shi Chen, Qin Li, Xu Yang
Semi-classical limit for the varying-mass Schrödinger equation with random inhomogeneities. CoRR (2020)
Zhiyan Ding, Qin Li, Jianfeng Lu, Stephen J. Wright
Random Coordinate Underdamped Langevin Monte Carlo. CoRR (2020)
Zhiyan Ding, Qin Li, Jianfeng Lu
Ensemble Kalman Inversion for nonlinear problems: weights, consistency, and variance bounds. CoRR (2020)
Kit Newton, Qin Li, Andrew M. Stuart
Diffusive Optical Tomography in the Bayesian Framework. Multiscale Model. Simul. 18 (2) (2020)
Eric T. Chung, Yalchin Efendiev, Yanbo Li, Qin Li
Generalized Multiscale Finite Element Method for the Steady State Linear Boltzmann Equation. Multiscale Model. Simul. 18 (1) (2020)
Zhiyan Ding, Qin Li
Variance reduction for Langevin Monte Carlo in high dimensional sampling problems. CoRR (2020)
Ke Chen, Qin Li, Jianfeng Lu, Stephen J. Wright
Randomized Sampling for Basis Function Construction in Generalized Finite Element Methods. Multiscale Model. Simul. 18 (2) (2020)
Anne Gelb, X. Hou, Qin Li
Minimization. J. Sci. Comput. 81 (3) (2019)
Hongxu Chen, Qin Li, Jianfeng Lu
A numerical method for coupling the BGK model and Euler equations through the linearized Knudsen layer. J. Comput. Phys. 398 (2019)
Ke Chen, Qin Li, Stephen J. Wright
Schwarz iteration method for elliptic equation with rough media based on random sampling. CoRR (2019)
Ke Chen, Qin Li, Kit Newton, Steve Wright
Structured random sketching for PDE inverse problems. CoRR (2019)
Zhiyan Ding, Yiding Chen, Qin Li, Xiaojin Zhu
Error Lower Bounds of Constant Step-size Stochastic Gradient Descent. CoRR (2019)
Ru-Yu Lai, Qin Li, Gunther Uhlmann
Inverse Problems for the Stationary Transport Equation in the Diffusion Scaling. SIAM J. Appl. Math. 79 (6) (2019)
Zhiyan Ding, Lukas Einkemmer, Qin Li
Error analysis of an asymptotic preserving dynamical low-rank integrator for the multi-scale radiative transfer equation. CoRR (2019)
Ke Chen, Qin Li, Jianfeng Lu, Stephen J. Wright
A low-rank Schwarz method for radiative transport equation with heterogeneous scattering coefficient. CoRR (2019)
Qin Li, Kit Newton
Diffusion Equation-Assisted Markov Chain Monte Carlo Methods for the Inverse Radiative Transfer Equation. Entropy 21 (3) (2019)
Zhiyan Ding, Qin Li
Mean-field limit and numerical analysis for Ensemble Kalman Inversion: linear setting. CoRR (2019)
Zhiyan Ding, Qin Li
Ensemble Kalman Sampling: mean-field limit and convergence analysis. CoRR (2019)
Xinghui Zhong, Qin Li
Galerkin Methods for Stationary Radiative Transfer Equations with Uncertain Coefficients. J. Sci. Comput. 76 (2) (2018)
Ke Chen, Qin Li, Li Wang
Stability of Inverse Transport Equation in Diffusion Scaling and Fokker-Planck Limit. SIAM J. Appl. Math. 78 (5) (2018)
Qin Li, Ruiwen Shu, Li Wang
A New Numerical Approach to Inverse Transport Equation with Error Analysis. SIAM J. Numer. Anal. 56 (6) (2018)
Thomas Y. Hou, Qin Li, Pengchuan Zhang
Exploring the Locally Low Dimensional Structure in Solving Random Elliptic PDEs. Multiscale Model. Simul. 15 (2) (2017)
Qin Li, Jianfeng Lu, Weiran Sun
Half-space kinetic equations with general boundary conditions. Math. Comput. 86 (305) (2017)
Qin Li, Li Wang
Uniform Regularity for Linear Kinetic Equations with Random Input Based on Hypocoercivity. SIAM/ASA J. Uncertain. Quantification 5 (1) (2017)
Qin Li, Jianfeng Lu
An Asymptotic Preserving Method for Transport Equations with Oscillatory Scattering Coefficients. Multiscale Model. Simul. 15 (4) (2017)
Thomas Y. Hou, Qin Li, Pengchuan Zhang
A Sparse Decomposition of Low Rank Symmetric Positive Semidefinite Matrices. Multiscale Model. Simul. 15 (1) (2017)
Lihui Chai, Shi Jin, Qin Li, Omar Morandi
A Multiband Semiclassical Model for Surface Hopping Quantum Dynamics. Multiscale Model. Simul. 13 (1) (2015)
Jingwei Hu, Qin Li, Lorenzo Pareschi
Asymptotic-Preserving Exponential Methods for the Quantum Boltzmann Equation with High-Order Accuracy. J. Sci. Comput. 62 (2) (2015)
Thomas Y. Hou, Qin Li, Hayden Schaeffer
Sparse + low-energy decomposition for viscous conservation laws. J. Comput. Phys. 288 (2015)
Qin Li, Jianfeng Lu, Weiran Sun
Diffusion approximations and domain decomposition method of linear transport equations: Asymptotics and numerics. J. Comput. Phys. 292 (2015)
Qin Li, Lorenzo Pareschi
Exponential Runge-Kutta for the inhomogeneous Boltzmann equations with high order of accuracy. J. Comput. Phys. 259 (2014)