Difeng Cai

activity

20152025

most citedSMASH: Structured matrix approximation by separation and hierarchy

2 citations · 4 across the 10 of their papers we have counts for

collaborators

Showing 2022 · math.NAShow all

2 papers · 2 filters

math.NA2022

Data-Driven Linear Complexity Low-Rank Approximation of General Kernel Matrices: A Geometric Approach

Difeng Cai, Edmond Chow, Yuanzhe Xi

A general, {\em rectangular} kernel matrix may be defined as $K_{ij} = κ (x_{i}, y_{j})$ where $κ (x, y)$ is a kernel function and where $X = {x_{i}}_{i = 1}^{m}$ and $Y = {y_{i}}_{i = 1}^{n}$ are two…

math.NA2022★ 2 cited

Data-driven Construction of Hierarchical Matrices with Nested Bases

Difeng Cai, Hua Huang, Edmond Chow +1

Hierarchical matrices provide a powerful representation for significantly reducing the computational complexity associated with dense kernel matrices. For general kernel functions,…