Difeng Cai

According to our database, Difeng Cai authored at least 14 papers between 2018 and 2025.

Collaborative distances:

• Dijkstra number of four.
• Erdős number of four.

2025

Data-Driven Self-Supervised Learning for the Discovery of Solution Singularity for Partial Differential Equations.

Difeng Cai, Paulina Sepúlveda

CoRR, June, 2025

Hybrid a posteriori error estimators for conforming finite element approximations to stationary convection-diffusion-reaction equations.

Difeng Cai, Zhiqiang Cai

Numerische Mathematik, April, 2025

Posterior Covariance Structures in Gaussian Processes.

Difeng Cai, Edmond Chow, Yuanzhe Xi

SIAM J. Matrix Anal. Appl., 2025

2024

Data-Driven Construction of Hierarchical Matrices With Nested Bases.

Difeng Cai, Hua Huang, Edmond Chow, Yuanzhe Xi

SIAM J. Sci. Comput., 2024

2023

Data-driven linear complexity low-rank approximation of general kernel matrices: A geometric approach.

Difeng Cai, Edmond Chow, Yuanzhe Xi

Numer. Linear Algebra Appl., December, 2023

2022

Fast Deterministic Approximation of Symmetric Indefinite Kernel Matrices with High Dimensional Datasets.

Difeng Cai, James G. Nagy, Yuanzhe Xi

SIAM J. Matrix Anal. Appl., June, 2022

Physics-informed distribution transformers via molecular dynamics and deep neural networks.

Difeng Cai

J. Comput. Phys., 2022

AUTM flow: atomic unrestricted time machine for monotonic normalizing flows.

Difeng Cai, Yuliang Ji, Huan He, Qiang Ye, Yuanzhe Xi

Proceedings of the Uncertainty in Artificial Intelligence, 2022

2021

Fast and stable deterministic approximation of general symmetric kernel matrices in high dimensions.

Difeng Cai, James G. Nagy, Yuanzhe Xi

CoRR, 2021

2020

Robust equilibrated a posteriori error estimator for higher order finite element approximations to diffusion problems.

Difeng Cai, Zhiqiang Cai, Shun Zhang

Numerische Mathematik, 2020

Robust Equilibrated Error Estimator for Diffusion Problems: Mixed Finite Elements in Two Dimensions.

Difeng Cai, Zhiqiang Cai, Shun Zhang

J. Sci. Comput., 2020

Eigenvalue Problems for Exponential-Type Kernels.

Difeng Cai, Panayot S. Vassilevski

Comput. Methods Appl. Math., 2020

Accelerating Parallel Hierarchical Matrix-Vector Products via Data-Driven Sampling.

Lucas Erlandson, Difeng Cai, Yuanzhe Xi, Edmond Chow

Proceedings of the 2020 IEEE International Parallel and Distributed Processing Symposium (IPDPS), 2020

2018

SMASH: Structured matrix approximation by separation and hierarchy.

Difeng Cai, Edmond Chow, Lucas Erlandson, Yousef Saad, Yuanzhe Xi

Numer. Linear Algebra Appl., 2018