Lei Li

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All published works

Action	Title	Year	Authors
+ PDF Chat	3DSceneEditor: Controllable 3D Scene Editing with Gaussian Splatting	2024	Ziyang Yan Lei Li Yu Shao Siyu Chen Wuzong Kai Jenq‐Neng Hwang Hao Zhao Fabio Remondino
+	Some Grönwall Inequalities for a Class of Discretizations of Time Fractional Equations on Nonuniform Meshes	2024	Yuanyuan Feng Lei Li Jianguo Liu Tao Tang
+ PDF Chat	A collision-oriented interacting particle system for Landau-type equations and the molecular chaos	2024	Kai Du Lei Li
+ PDF Chat	Geometric Ergodicity of SGLD via Reflection Coupling	2024	Lei Li Jian-Guo Liu Yuliang Wang
+ PDF Chat	Search for the rare decay $J/\psi \to \gamma D^0+c.c.$ at BESIII	2024	BESIII Collaboration Xiaonan Li М. Н. Ачасов P. Adlarson O. Afedulidis X. Ai R. Aliberti A. Amoroso Qingsong An Y. Bai
+ PDF Chat	Predictable Gate-Field Control of Spin in Altermagnets with Spin-Layer Coupling	2024	Run‐Wu Zhang Chaoxi Cui Runze Li Jingyi Duan Lei Li Zhi‐Ming Yu Yugui Yao
+ PDF Chat	ScalingGaussian: Enhancing 3D Content Creation with Generative Gaussian Splatting	2024	Chen Shen Jiale Zhou Zhongyu Jiang Tianfang Zhang Zongkai Wu Jenq‐Neng Hwang Lei Li
+	A class of monotonicity-preserving variable-step discretizations for Volterra integral equations	2024	Yuanyuan Feng Lei Li
+	On the Convergence of Continuous and Discrete Unbalanced Optimal Transport Models for 1-Wasserstein Distance	2024	Zhe Xiong Lei Li Ya‐Nan Zhu Xiaoqun Zhang
+	Some Grönwall inequalities for a class of discretizations of time fractional equations on nonuniform meshes	2024	Yuanyuan Feng Lei Li Jian-Guo Liu Tao Tang
+ PDF Chat	Hotspots and development trends in global mathematics education research —based on a quantitative analysis utilizing the CiteSpace knowledge map	2023	Lei Li Yu Tang
+	Weighted Composition Operators from the Bloch Spaces to Weighted Hardy Spaces on Bounded Symmetric Domains	2023	Lei Li Xiao Wang
+ PDF Chat	Ergodicity and long-time behavior of the Random Batch Method for interacting particle systems	2023	Shi Jin Lei Li Xuda Ye Zhennan Zhou
+	Geometric ergodicity of SGLD via reflection coupling	2023	Lei Li Jianguo Liu Yuliang Wang
+	On the convergence of continuous and discrete unbalanced optimal transport models	2023	Zhe Xiong Lei Li Ya-Nan Zhu Xiaoqun Zhang
+	A class of monotonicity-preserving variable-step discretizations for Volterra integral equations and time fractional ordinary differential equations	2023	Yuanyuan Feng Lei Li
+ PDF Chat	Existence of weak solutions to $ p $-Navier-Stokes equations	2023	Yuanyuan Feng Lei Li Jian‐Guo Liu Xiaoqian Xu
+ PDF Chat	A random batch Ewald method for charged particles in the isothermal–isobaric ensemble	2022	Jiuyang Liang Pan Tan Liang Hong Shi Jin Zhenli Xu Lei Li
+ PDF Chat	On the Random Batch Method for Second Order Interacting Particle Systems	2022	Shi Jin Lei Li Yiqun Sun
+	Fluctuation suppression and enhancement in interacting particle systems	2022	Lei Li Jiaheng Chen
+	Ergodicity and long-time behavior of the Random Batch Method for interacting particle systems	2022	Shi Jin Lei Li Xuda Ye Zhennan Zhou
+	On uniform-in-time diffusion approximation for stochastic gradient descent	2022	Lei Li Yuliang Wang
+	A sharp uniform-in-time error estimate for Stochastic Gradient Langevin Dynamics	2022	Lei Li Yuliang Wang
+	A Proof for the Collatz Conjecture	2022	Lei Li
+ PDF Chat	Superscalability of the random batch Ewald method	2021	Jiuyang Liang Pan Tan Yue Zhao Lei Li Shi Jin Liang Hong Zhenli Xu
+ PDF Chat	Random Batch Methods for Classical and Quantum Interacting Particle Systems and Statistical Samplings	2021	Shi Jin Lei Li
+ PDF Chat	Numerical stability of Grünwald–Letnikov method for time fractional delay differential equations	2021	Lei Li Dongling Wang
+ PDF Chat	ACMo: Angle-Calibrated Moment Methods for Stochastic Optimization	2021	Xunpeng Huang Runxin Xu Hao Zhou Zhe Wang Zhengyang Liu Lei Li
+	On the mean field limit of the Random Batch Method for interacting particle systems	2021	Shi Jin Lei Li
+ PDF Chat	Convergence of the Random Batch Method for Interacting Particles with Disparate Species and Weights	2021	Shi Jin Lei Li Jianguo Liu
+	Numerical stability of Grünwald-Letnikov method for time fractional delay differential equations	2021	Lei Li Dongling Wang
+	A splitting Hamiltonian Monte Carlo method for efficient sampling	2021	Lei Li Lin Liu Yuzhou Peng
+ PDF Chat	Complete monotonicity-preserving numerical methods for time fractional ODEs	2021	Lei Li Dongling Wang
+ PDF Chat	A Random Batch Ewald Method for Particle Systems with Coulomb Interactions	2021	Shi Jin Lei Li Zhenli Xu Yue Zhao
+	Sharp estimates for a nonlocal diffusion problem with a free boundary	2021	Lei Li Mingxin Wang
+ PDF Chat	Numerical methods for stochastic differential equations based on Gaussian mixture	2021	Lei Li Jianfeng Lu Jonathan C. Mattingly Lihan Wang
+	Numerical Solution of Fractional Integro-differential Equations with Weakly Singular Kernels via Bernstein Polynomial	2020	Lei Li Guang Zeng Binbin Wang Desheng Ning
+	A Fast Parallel lmplicit Method for Solving Black-Scholes Partial Differential Equation	2020	Ikuya Uematsu Lei Li
+ PDF Chat	Inclusive charged and neutral particle multiplicity distributions in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>χ</mml:mi><mml:mrow><mml:mi>c</mml:mi><mml:mi>J</mml:mi></mml:mrow></mml:msub></mml:math> and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>J</mml:mi><mml:mo stretchy="false">/</mml:mo><mml:mi>ψ</mml:mi></mml:math> decays	2020	F. De Mori М. Н. Ачасов P. Adlarson S. Ahmed M. Albrecht A. Amoroso Q. An Anita Y. Bai O. Bakina
+ PDF Chat	A consensus-based global optimization method for high dimensional machine learning problems	2020	José A. Carrillo Shi Jin Lei Li Yuhua Zhu
+	A direct simulation approach for the Poisson-Boltzmann equation using the Random Batch Method	2020	Lei Li Jianguo Liu Yijia Tang
+	SPAN: A Stochastic Projected Approximate Newton Method	2020	Xunpeng Huang Xianfeng Liang Zhengyang Liu Yitan Li Linyun Yu Yue Yu Lei Li
+	Convergence of Random Batch Method for interacting particles with disparate species and weights	2020	Shi Jin Lei Li Jian‐Guo Liu
+ PDF Chat	Uniform-in-time weak error analysis for stochastic gradient descent algorithms via diffusion approximation	2020	Yuanyuan Feng Tingran Gao Lei Li Jian‐Guo Liu Yulong Lu
+ PDF Chat	A Random-Batch Monte Carlo Method for Many-Body Systems with Singular Kernels	2020	Lei Li Zhenli Xu Yue Zhao
+	On the mean field limit of the Random Batch Method for interacting particle systems	2020	Shi Jin Lei Li
+	Adaptive Gradient Methods Can Be Provably Faster than SGD after Finite Epochs	2020	Xunpeng Huang Hao Zhou Runxin Xu Zhe Wang Lei Li
+	ACMo: Angle-Calibrated Moment Methods for Stochastic Optimization	2020	Xunpeng Huang Runxin Xu Hao Zhou Zhe Wang Zhengyang Liu Lei Li
+	A random batch Ewald method for particle systems with Coulomb interactions	2020	Shi Jin Lei Li Zhenli Xu Yue Zhao
+	Some random batch particle methods for the Poisson-Nernst-Planck and Poisson-Boltzmann equations	2020	Lei Li Jian‐Guo Liu Yijia Tang
+ PDF Chat	On the mean field limit for Brownian particles with Coulomb interaction in 3D	2019	Lei Li Jian‐Guo Liu Pu Yu
+	Random Batch Methods (RBM) for interacting particle systems	2019	Shi Jin Lei Li Jian‐Guo Liu
+	Numerical approximation and fast evaluation of the overdamped generalized Langevin equation with fractional noise	2019	Di Fang Lei Li
+	Optimal investment problem with complete memory on an infinite time horizon	2019	Hui Mi Lei Li Quanxin Zhu
+ PDF Chat	On the diffusion approximation of nonconvex stochastic gradient descent	2019	Wenqing Hu Chris Junchi Li Lei Li Jian‐Guo Liu
+	A discretization of Caputo derivatives with application to time fractional SDEs and gradient flows	2019	Lei Li Jian‐Guo Liu
+	Uniform-in-Time Weak Error Analysis for Stochastic Gradient Descent Algorithms via Diffusion Approximation	2019	Yuanyuan Feng Tingran Gao Lei Li Jian‐Guo Liu Yulong Lu
+ PDF Chat	A Discretization of Caputo Derivatives with Application to Time Fractional SDEs and Gradient Flows	2019	Lei Li Jian‐Guo Liu
+	A consensus-based global optimization method for high dimensional machine learning problems	2019	José A. Carrillo Shi Jin Lei Li Yuhua Zhu
+	Large time behaviors of upwind schemes by jump processes	2018	Lei Li Jian‐Guo Liu
+ PDF Chat	Cauchy problems for Keller–Segel type time–space fractional diffusion equation	2018	Lei Li Jian‐Guo Liu Lizhen Wang
+ PDF Chat	A note on one-dimensional time fractional ODEs	2018	Yuanyuan Feng Lei Li Jian‐Guo Liu Xiaoqian Xu
+	p-Euler equations and p-Navier–Stokes equations	2018	Lei Li Jian‐Guo Liu
+ PDF Chat	Semigroups of stochastic gradient descent and online principal component analysis: properties and diffusion approximations	2018	Yuanyuan Feng Lei Li Jian‐Guo Liu
+	Random batch methods (RBM) for interacting particle systems	2018	Shi Jin Lei Li Jian‐Guo Liu
+ PDF Chat	A Generalized Definition of Caputo Derivatives and Its Application to Fractional ODEs	2018	Lei Li Jian‐Guo Liu
+	Large time behaviors of upwind schemes by jump processes	2018	Lei Li Jian‐Guo Liu
+	A note on semi-groups of stochastic gradient descent and online principal component analysis	2017	Yuanyuan Feng Lei Li Jianguo Liu
+ PDF Chat	Surjective isometries on vector-valued differentiable function spaces	2017	Lei Li Dongyang Chen Qing Meng Ya-Shu Wang
+ PDF Chat	Continuous and discrete one dimensional autonomous fractional ODEs	2017	Yuanyuan Feng Lei Li Jian‐Guo Liu Xiaoqian Xu
+ PDF Chat	Fractional Stochastic Differential Equations Satisfying Fluctuation-Dissipation Theorem	2017	Lei Li Jian‐Guo Liu Jianfeng Lu
+ PDF Chat	A note on deconvolution with completely monotone sequences and discrete fractional calculus	2017	Lei Li Jian‐Guo Liu
+	Batch Size Matters: A Diffusion Approximation Framework on Nonconvex Stochastic Gradient Descent.	2017	Chris Junchi Li Lei Li Junyang Qian Jianguo Liu
+	Continuous and discrete one dimensional autonomous fractional ODEs	2017	Yuanyuan Feng Lei Li Jian‐Guo Liu Xiaoqian Xu
+	$p$-Euler equations and $p$-Navier-Stokes equations	2017	Lei Li Jian‐Guo Liu
+	Cauchy problems for Keller-Segel type time-space fractional diffusion equation	2017	Lei Li Jian‐Guo Liu Lizhen Wang
+	A note on one-dimensional time fractional ODEs	2017	Yuanyuan Feng Lei Li Jian-Guo Liu Xiaoqian Xu
+	On the diffusion approximation of nonconvex stochastic gradient descent	2017	Wenqing Hu Chris Junchi Li Lei Li Jianguo Liu
+	Semi-groups of stochastic gradient descent and online principal component analysis: properties and diffusion approximations	2017	Yuanyuan Feng Lei Li Jianguo Liu
+	On convolution groups of completely monotone sequences/functions and fractional calculus	2016	Lei Li Jian‐Guo Liu
+	Quantifications of strictly singular operators and strictly cosingular operators	2016	Lei Li Dongyang Chen
+	A generalized definition of Caputo derivatives and its application to fractional ODEs	2016	Lei Li Jian‐Guo Liu
+	Jump conditions for Navier-Stokes equations involving a stretched interface under an Eulerian formulation	2015	Lei Li
+ PDF Chat	The sedimentation of flexible filaments	2013	Lei Li Harishankar Manikantan David Saintillan Saverio E. Spagnolie
+	The sedimentation of flexible filaments: Trajectories, particle clouds and a buckling instability	2013	Harishankar Manikantan Lei Li David Saintillan Saverio E. Spagnolie
+	Discussions on Undergraduate Econometrics "Task Driving" Type Teaching Reform——Based on the Questionnaire Data	2013	Lei Li
+	Exponential stability for set dynamic equations on time scales	2011	Lei Li Shihuang Hong
+	A new time integration strategy for unsteady incompressible flows based on the SUPG finite element formulation	2008	Lei Li
+	On Deng Xiaoping's Summarization of Negative Experience	2007	Lei Li
+	Security and Protection Technology of Space Information System	2003	Lei Li

Common Coauthors

Coauthor	Papers Together
Jian‐Guo Liu	27
Shi Jin	15
Yuanyuan Feng	10
Lei Li	7
Jianguo Liu	5
Zhenli Xu	5
Xiaoqian Xu	4
Xunpeng Huang	4
Yue Zhao	4
Yuanyuan Feng	4
Chris Junchi Li	3
Runxin Xu	3
Hao Zhou	3
Yuliang Wang	3
Dongling Wang	3
Jiuyang Liang	2
Harishankar Manikantan	2
Wenqing Hu	2
R. A. Briere	2
F. H. Heinsius	2
David Saintillan	2
T. Johansson	2
Tingran Gao	2
Jianfeng Lu	2
M. Destefanis	2
М. Н. Ачасов	2
A. N. Zhu	2
P. Adlarson	2
Jiaxing Zhao	2
Yulong Lu	2
F. E. Maas	2
Xuda Ye	2
M. Kuessner	2
Zhe Xiong	2
R. Farinelli	2
Jian-Guo Liu	2
T. T. Han	2
Saverio E. Spagnolie	2
A. Zhemchugov	2
M. Lellmann	2
Yaxian Mao	2
Κ. Peters	2
E. Gersabeck	2
Zhennan Zhou	2
Q. P. Ji	2
H. H. Zhang	2
José A. Carrillo	2
J. G. Messchendorp	2
Tao Tang	2
I. Balossino	2

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Random Batch Methods (RBM) for interacting particle systems	2019	Shi Jin Lei Li Jian‐Guo Liu	19
+ PDF Chat	Binary Interaction Algorithms for the Simulation of Flocking and Swarming Dynamics	2013	Giacomo Albi Lorenzo Pareschi	13
+ PDF Chat	Convergence of the Random Batch Method for Interacting Particles with Disparate Species and Weights	2021	Shi Jin Lei Li Jianguo Liu	13
+ PDF Chat	A stochastic version of Stein variational gradient descent for efficient sampling	2020	Lei Li Yingzhou Li Jian‐Guo Liu Zibu Liu Jianfeng Lu	12
+ PDF Chat	Heterophilious Dynamics Enhances Consensus	2014	Sébastien Motsch Eitan Tadmor	10
+ PDF Chat	A Random-Batch Monte Carlo Method for Many-Body Systems with Singular Kernels	2020	Lei Li Zhenli Xu Yue Zhao	10
+	Bayesian Learning via Stochastic Gradient Langevin Dynamics	2011	Max Welling Yee Whye Teh	9
+ PDF Chat	Novel Type of Phase Transition in a System of Self-Driven Particles	1995	Tamás Vicsek András Czirók Eshel Ben‐Jacob Inon Cohen Ofer Shochet	9
+	From 1970 until present: the Keller-Segel model in chemotaxis and its consequences	2003	Dirk Horstmann	9
+	Theory and Applications of Fractional Differential Equations	2006	Anatoly A. Kilbas H. M. Srivastava Juan J. Trujillo	9
+	The Analysis of Fractional Differential Equations: An Application-Oriented Exposition Using Differential Operators of Caputo Type	2010	Kai Diethelm	9
+ PDF Chat	A Generalized Definition of Caputo Derivatives and Its Application to Fractional ODEs	2018	Lei Li Jian‐Guo Liu	9
+	Asymptotic Behavior of Solutions of Nonlinear Volterra Equations with Completely Positive Kernels	1981	Ph. Clément John A. Nohel	9
+ PDF Chat	A Parabolic Problem with a Fractional Time Derivative	2016	M. Allen Luis Caffarelli Alexis Vasseur	9
+ PDF Chat	Particle Based gPC Methods for Mean-Field Models of Swarming with Uncertainty	2019	José A. Carrillo Lorenzo Pareschi Mattia Zanella	9
+ PDF Chat	Ergodicity for SDEs and approximations: locally Lipschitz vector fields and degenerate noise	2002	Jonathan C. Mattingly Andrew M. Stuart Desmond J. Higham	8
+	Optimal Transport for Applied Mathematicians : Calculus of Variations, PDEs, and Modeling	2015	Filippo Santambrogio	8
+ PDF Chat	Coagulation–Fragmentation Model for Animal Group-Size Statistics	2016	Pierre Degond Jian‐Guo Liu Robert L. Pego	8
+ PDF Chat	A Random Batch Ewald Method for Particle Systems with Coulomb Interactions	2021	Shi Jin Lei Li Zhenli Xu Yue Zhao	8
+ PDF Chat	Quantitative estimates of propagation of chaos for stochastic systems with $$W^{-1,\infty }$$ W - 1 , ∞ kernels	2018	Pierre‐Emmanuel Jabin Zhenfu Wang	7
+	The Laplace Transform. By D. V. Widder. Pp. x, 406. 36s. 1941. Princeton Mathematical series, 6. (Princeton University Press; Humphrey Milford)	1943	T. A. A. B.	7
+ PDF Chat	Semigroups of stochastic gradient descent and online principal component analysis: properties and diffusion approximations	2018	Yuanyuan Feng Lei Li Jian‐Guo Liu	7
+ PDF Chat	A note on deconvolution with completely monotone sequences and discrete fractional calculus	2017	Lei Li Jian‐Guo Liu	7
+	Large-time behavior of perturbed diffusion markov processes with applications to the second eigenvalue problem for fokker-planck operators and simulated annealing	1990	Chii-Ruey Hwang Shuenn‐Jyi Sheu	7
+ PDF Chat	Continuous and discrete one dimensional autonomous fractional ODEs	2017	Yuanyuan Feng Lei Li Jian‐Guo Liu Xiaoqian Xu	7
+ PDF Chat	Characterization of Radially Symmetric Finite Time Blowup in Multidimensional Aggregation Equations	2012	Andrea L. Bertozzi John B. Garnett Thomas Laurent	7
+ PDF Chat	A simple proof of the Cucker-Smale flocking dynamics and mean-field limit	2009	Seung‐Yeal Ha Jian‐Guo Liu	7
+ PDF Chat	KINETIC LIMITS FOR PAIR-INTERACTION DRIVEN MASTER EQUATIONS AND BIOLOGICAL SWARM MODELS	2012	Eric A. Carlen Pierre Degond Bernt Wennberg	7
+	Finite difference/spectral approximations for the time-fractional diffusion equation	2007	Yumin Lin Chuanju Xu	7
+	Direct Simulation Scheme Derived from the Boltzmann Equation. I. Monocomponent Gases	1980	Kenichi Nanbu	7
+ PDF Chat	Some Compactness Criteria for Weak Solutions of Time Fractional PDEs	2018	Li Lei Jian‐Guo Liu	6
+	Monte Carlo sampling methods using Markov chains and their applications	1970	W. Keith Hastings	6
+	Rapid solution of integral equations of classical potential theory	1985	Vladimir Rokhlin	6
+ PDF Chat	A note on one-dimensional time fractional ODEs	2018	Yuanyuan Feng Lei Li Jian‐Guo Liu Xiaoqian Xu	6
+	Mean Field Limit for Stochastic Particle Systems	2017	Pierre‐Emmanuel Jabin Zhenfu Wang	6
+ PDF Chat	Probabilistic approach for granular media equations in the non-uniformly convex case	2007	Patrick Cattiaux Arnaud Guillin Florent Malrieu	6
+ PDF Chat	Fractional Stochastic Differential Equations Satisfying Fluctuation-Dissipation Theorem	2017	Lei Li Jian‐Guo Liu Jianfeng Lu	6
+	A Convergence Proof for Nanbu’s Simulation Method for the Full Boltzmann Equation	1989	Hans Babovsky Reinhard Illner	6
+ PDF Chat	Convex Optimization: Algorithms and Complexity	2015	Sébastien Bubeck	6
+	Probability: Theory and Examples.	1992	Kathryn Prewitt Richard Durrett	6
+	Optimal Transport for Applied Mathematicians	2015	Filippo Santambrogio	6
+	Analysis of Fractional Differential Equations	2002	Kai Diethelm Neville J. Ford	6
+	A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem	2000	Jean‐David Benamou Yann Brenier	5
+	A Dynamical Approach to Random Matrix Theory	2017	László Erdős Horng‐Tzer Yau	5
+ PDF Chat	Random Batch Algorithms for Quantum Monte Carlo Simulations	2020	Shi Jin Xiantao Li	5
+ PDF Chat	How to mesh up Ewald sums. II. An accurate error estimate for the particle–particle–particle-mesh algorithm	1998	Markus Deserno Christian Holm	5
+ PDF Chat	Couplings and quantitative contraction rates for Langevin dynamics	2019	Andreas Eberle Arnaud Guillin Raphael Zimmer	5
+	A review of the mean field limits for Vlasov equations	2014	Pierre‐Emmanuel Jabin	5
+	Asymptotic behavior of some nonlinear Volterra integral equations	1975	Dennis G. Weis	5
+ PDF Chat	Stochastic modeling in nanoscale biophysics: Subdiffusion within proteins	2008	S. C. Kou	5