adaptive cross approximation 1continuous operators 1error analysis 1kernel methods 1low-rank approximation 1
From the 1 of 2 linked papers with an AI index.
2 papers
math.NA2026
Continuous Cross Approximation of Matrices Arising Out of Kernel Functions
Sumit Singh, Sivaram Ambikasaran
The paper introduces a residual‑energy based continuous method for constructing low‑rank approximations of kernel matrices by adaptively selecting optimal nodes, providing converge…
math.NA2025
Rank of Matrices Arising out of Singular Kernel Functions
Sumit Singh, Sivaram Ambikasaran
Kernel functions are frequently encountered in differential equations and machine learning applications. In this work, we study the rank of matrices arising out of the kernel funct…