SMASH: Structured matrix approximation by separation and hierarchy. - Difeng Cai; Edmond Chow; Lucas Erlandson; Yousef Saad; Yuanzhe Xi (Numer. Linear Algebra Appl., 2018)

Accelerating Parallel Hierarchical Matrix-Vector Products via Data-Driven Sampling. - Lucas Erlandson; Difeng Cai; Yuanzhe Xi; Edmond Chow (IPDPS, 2020)

Eigenvalue Problems for Exponential-Type Kernels. - Difeng Cai; Panayot S. Vassilevski (Comput. Methods Appl. Math., 2020)

Robust Equilibrated Error Estimator for Diffusion Problems: Mixed Finite Elements in Two Dimensions. - Difeng Cai; Zhiqiang Cai 001; Shun Zhang 001 (J. Sci. Comput., 2020)

Robust equilibrated a posteriori error estimator for higher order finite element approximations to diffusion problems. - Difeng Cai; Zhiqiang Cai 001; Shun Zhang 001 (Numerische Mathematik, 2020)

Fast and stable deterministic approximation of general symmetric kernel matrices in high dimensions. - Difeng Cai; James G. Nagy; Yuanzhe Xi (CoRR, 2021)

AUTM flow: atomic unrestricted time machine for monotonic normalizing flows. - Difeng Cai; Yuliang Ji; Huan He; Qiang Ye 003; Yuanzhe Xi (UAI, 2022)

Physics-informed distribution transformers via molecular dynamics and deep neural networks. - Difeng Cai (J. Comput. Phys., 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., 2022)

Data-driven linear complexity low-rank approximation of general kernel matrices: A geometric approach. - Difeng Cai; Edmond Chow; Yuanzhe Xi (Numer. Linear Algebra Appl., 2023)

Data-Driven Construction of Hierarchical Matrices With Nested Bases. - Difeng Cai; Hua Huang 011; Edmond Chow; Yuanzhe Xi (SIAM J. Sci. Comput., 2024)

Posterior Covariance Structures in Gaussian Processes. - Difeng Cai; Edmond Chow; Yuanzhe Xi (SIAM J. Matrix Anal. Appl., 2025)

Hybrid a posteriori error estimators for conforming finite element approximations to stationary convection-diffusion-reaction equations. - Difeng Cai; Zhiqiang Cai 001 (Numerische Mathematik, 2025)

Data-Driven Self-Supervised Learning for the Discovery of Solution Singularity for Partial Differential Equations. - Difeng Cai; Paulina Sepúlveda (CoRR, 2025)

Preconditioned Truncated Single-Sample Estimators for Scalable Stochastic Optimization. - Tianshi Xu; Difeng Cai; Hua Huang 011; Edmond Chow; Yuanzhe Xi (CoRR, 2025)