29 citations · 62 across the 8 of their papers we have counts for
9 papers
FlashSinkhorn: IO-Aware Entropic Optimal Transport on GPU
Felix X. -F. Ye, Xingjie Li, An Yu +3
Entropic optimal transport (EOT) via Sinkhorn iterations is widely used in modern machine learning, yet GPU solvers remain inefficient at scale. Tensorized implementations suffer q…
Modeling and Simulation of Traffic on I-485 via Linear Systems and Iterative Methods
Dominic Kealoha, Fabiola Rojas, Xingjie Li
Iterative methods such as Jacobi, Gauss-Seidel, and Successive Over-Relaxation (SOR) are fundamental tools in solving large systems of linear equations across various scientific fi…
Robust First and Second-Order Differentiation for Regularized Optimal Transport
Xingjie Li, Fei Lu, Molei Tao +1
Applications such as unbalanced and fully shuffled regression can be approached by optimizing regularized optimal transport (OT) distances, such as the entropic OT and Sinkhorn dis…
NySALT: Nyström-type inference-based schemes adaptive to large time-stepping
Xingjie Li, Fei Lu, Molei Tao +1
Large time-stepping is important for efficient long-time simulations of deterministic and stochastic Hamiltonian dynamical systems. Conventional structure-preserving integrators, w…
A Meshfree Peridynamic Model for Brittle Fracture in Randomly Heterogeneous Materials
Yiming Fan, Huaiqian You, Xiaochuan Tian +4
In this work we aim to develop a unified mathematical framework and a reliable computational approach to model the brittle fracture in heterogeneous materials with variability in m…
An asymptotically compatible probabilistic collocation method for randomly heterogeneous nonlocal problems
Yiming Fan, Xiaochuan Tian, Xiu Yang +3
In this paper we present an asymptotically compatible meshfree method for solving nonlocal equations with random coefficients, describing diffusion in heterogeneous media. In parti…
Force-Based Atomistic/Continuum Blending for Multilattices
Derek Olson, Xingjie Li, Christoph Ortner +1
We formulate the blended force-based quasicontinuum (BQCF) method for multilattices and develop rigorous error estimates in terms of the approximation parameters: atomistic region,…
Mean-field Dynamics of Load-Balancing Networks with General Service Distributions
Reza Aghajani, Xingjie Li, Kavita Ramanan
We introduce a general framework for the mean-field analysis of large-scale load-balancing networks with general service distributions. Specifically, we consider a parallel server…
Coarse graining, dynamic renormalization and the kinetic theory of shock clustering
Xingjie Li, Matthew O. Williams, Ioannis G. Kevrekidis +1
We demonstrate the utility of the equation free methodology developed by one of the authors (I.G.K) for the study of scalar conservation laws with disordered initial conditions. Th…