3 papers
math.NA2026
LoCCA: Localized Chebyshev Cross Approximation for Kernel Matrix Factorization via Nodal Perturbation Stability
Sumit Singh, Shrirup Dutta, Sivaram Ambikasaran
We propose Local Chebyshev Cross-Approximation (LoCCA), a data-driven framework that bridges smooth polynomial interpolation with flexible matrix factorizations. LoCCA dynamically…
math.NA2026
Continuous Cross Approximation of Matrices Arising Out of Kernel Functions
Sumit Singh, Sivaram Ambikasaran
We propose a residual energy-based framework for constructing low-rank approximations of kernel matrices arising from continuous kernel functions. The method operates in a continuo…
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…