Qin Li

Orcid: 0000-0001-9210-8948

Affiliations:
  • University of Wisconsin, Madison, WI, USA


According to our database1, Qin Li authored at least 64 papers between 2014 and 2024.

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Bibliography

2024
Kinetic Chemotaxis Tumbling Kernel Determined from Macroscopic Quantities.
SIAM J. Math. Anal., February, 2024

2023
Monte Carlo Gradient in Optimization Constrained by Radiative Transport Equation.
SIAM J. Numer. Anal., December, 2023

High-Frequency Limit of the Inverse Scattering Problem: Asymptotic Convergence from Inverse Helmholtz to Inverse Liouville.
SIAM J. Imaging Sci., March, 2023

Numerical reconstruction of the kinetic chemotaxis kernel from macroscopic measurement, wellposedness and illposedness.
CoRR, 2023

On optimal bases for multiscale PDEs and Bayesian homogenization.
CoRR, 2023

2022
Manifold Learning and Nonlinear Homogenization.
Multiscale Model. Simul., September, 2022

Bridging and Improving Theoretical and Computational Electrical Impedance Tomography via Data Completion.
SIAM J. Sci. Comput., 2022

Reconstructing the Thermal Phonon Transmission Coefficient at Solid Interfaces in the Phonon Transport Equation.
SIAM J. Appl. Math., 2022

Overparameterization of Deep ResNet: Zero Loss and Mean-field Analysis.
J. Mach. Learn. Res., 2022

Solving the Wide-band Inverse Scattering Problem via Equivariant Neural Networks.
CoRR, 2022

Computation of optimal beams in weak turbulence.
CoRR, 2022

Second-order diffusion limit for the phonon transport equation-asymptotics and numerics.
CoRR, 2022

Bayesian Instability of Optical Imaging: Ill Conditioning of Inverse Linear and Nonlinear Radiative Transfer Equation in the Fluid Regime.
Comput., 2022

2021
Dynamical Low-Rank Integrator for the Linear Boltzmann Equation: Error Analysis in the Diffusion Limit.
SIAM J. Numer. Anal., 2021

Ensemble Kalman Sampler: Mean-field Limit and Convergence Analysis.
SIAM J. Math. Anal., 2021

Reconstruction of the Emission Coefficient in the Nonlinear Radiative Transfer Equation.
SIAM J. Appl. Math., 2021

Ensemble Kalman inversion: mean-field limit and convergence analysis.
Stat. Comput., 2021

A Low-Rank Schwarz Method for Radiative Transfer Equation With Heterogeneous Scattering Coefficient.
Multiscale Model. Simul., 2021

Langevin Monte Carlo: random coordinate descent and variance reduction.
J. Mach. Learn. Res., 2021

Classical limit for the varying-mass Schrödinger equation with random inhomogeneities.
J. Comput. Phys., 2021

Low-rank approximation for multiscale PDEs.
CoRR, 2021

A reduced order Schwarz method for nonlinear multiscale elliptic equations based on two-layer neural networks.
CoRR, 2021

On the Global Convergence of Gradient Descent for multi-layer ResNets in the mean-field regime.
CoRR, 2021

Bridging and Improving Theoretical and Computational Electric Impedance Tomography via Data Completion.
CoRR, 2021

Constrained Ensemble Langevin Monte Carlo.
CoRR, 2021

Multiscale Convergence of the Inverse Problem for Chemotaxis in the Bayesian Setting.
Comput., 2021

Random Coordinate Langevin Monte Carlo.
Proceedings of the Conference on Learning Theory, 2021

Random Coordinate Underdamped Langevin Monte Carlo.
Proceedings of the 24th International Conference on Artificial Intelligence and Statistics, 2021

2020
Random Sampling and Efficient Algorithms for Multiscale PDEs.
SIAM J. Sci. Comput., 2020

Structured Random Sketching for PDE Inverse Problems.
SIAM J. Matrix Anal. Appl., 2020

Parameter Reconstruction for General Transport Equation.
SIAM J. Math. Anal., 2020

Diffusive Optical Tomography in the Bayesian Framework.
Multiscale Model. Simul., 2020

Generalized Multiscale Finite Element Method for the Steady State Linear Boltzmann Equation.
Multiscale Model. Simul., 2020

Randomized Sampling for Basis Function Construction in Generalized Finite Element Methods.
Multiscale Model. Simul., 2020

Sensitivity Analysis of Burgers' Equation with Shocks.
SIAM/ASA J. Uncertain. Quantification, 2020

Semi-classical limit of an inverse problem for the Schrödinger equation.
CoRR, 2020

Variance reduction for Langevin Monte Carlo in high dimensional sampling problems.
CoRR, 2020

Ensemble Kalman Inversion for nonlinear problems: weights, consistency, and variance bounds.
CoRR, 2020

Semi-classical limit for the varying-mass Schrödinger equation with random inhomogeneities.
CoRR, 2020

Variance reduction for Random Coordinate Descent-Langevin Monte Carlo.
Proceedings of the Advances in Neural Information Processing Systems 33: Annual Conference on Neural Information Processing Systems 2020, 2020

2019
Inverse Problems for the Stationary Transport Equation in the Diffusion Scaling.
SIAM J. Appl. Math., 2019

Numerical Analysis for Conservation Laws Using l<sub>1</sub> Minimization.
J. Sci. Comput., 2019

A numerical method for coupling the BGK model and Euler equations through the linearized Knudsen layer.
J. Comput. Phys., 2019

Diffusion Equation-Assisted Markov Chain Monte Carlo Methods for the Inverse Radiative Transfer Equation.
Entropy, 2019

Ensemble Kalman Sampling: mean-field limit and convergence analysis.
CoRR, 2019

Error Lower Bounds of Constant Step-size Stochastic Gradient Descent.
CoRR, 2019

Schwarz iteration method for elliptic equation with rough media based on random sampling.
CoRR, 2019

Structured random sketching for PDE inverse problems.
CoRR, 2019

Mean-field limit and numerical analysis for Ensemble Kalman Inversion: linear setting.
CoRR, 2019

Error analysis of an asymptotic preserving dynamical low-rank integrator for the multi-scale radiative transfer equation.
CoRR, 2019

A low-rank Schwarz method for radiative transport equation with heterogeneous scattering coefficient.
CoRR, 2019

2018
A New Numerical Approach to Inverse Transport Equation with Error Analysis.
SIAM J. Numer. Anal., 2018

Stability of Inverse Transport Equation in Diffusion Scaling and Fokker-Planck Limit.
SIAM J. Appl. Math., 2018

Galerkin Methods for Stationary Radiative Transfer Equations with Uncertain Coefficients.
J. Sci. Comput., 2018

2017
Half-space kinetic equations with general boundary conditions.
Math. Comput., 2017

An Asymptotic Preserving Method for Transport Equations with Oscillatory Scattering Coefficients.
Multiscale Model. Simul., 2017

Exploring the Locally Low Dimensional Structure in Solving Random Elliptic PDEs.
Multiscale Model. Simul., 2017

A Sparse Decomposition of Low Rank Symmetric Positive Semidefinite Matrices.
Multiscale Model. Simul., 2017

Uniform Regularity for Linear Kinetic Equations with Random Input Based on Hypocoercivity.
SIAM/ASA J. Uncertain. Quantification, 2017

2015
A Multiband Semiclassical Model for Surface Hopping Quantum Dynamics.
Multiscale Model. Simul., 2015

Asymptotic-Preserving Exponential Methods for the Quantum Boltzmann Equation with High-Order Accuracy.
J. Sci. Comput., 2015

Diffusion approximations and domain decomposition method of linear transport equations: Asymptotics and numerics.
J. Comput. Phys., 2015

Sparse + low-energy decomposition for viscous conservation laws.
J. Comput. Phys., 2015

2014
Exponential Runge-Kutta for the inhomogeneous Boltzmann equations with high order of accuracy.
J. Comput. Phys., 2014


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