4 papers · 1 filter
Exponential Convergence of Deep Composite Polynomial Approximation for Cusp-Type Functions
Kingsley Yeon, Steven B. Damelin, Michael Werman
We investigate deep composite polynomial approximations of continuous but non-differentiable functions with algebraic cusp singularities. The functions in focus consist of finitely…
Beyond Low Rank: Fast Low-Rank + Diagonal Decomposition with a Spectral Approach
Kingsley Yeon, Mihai Anitescu
Low-rank plus diagonal (LRPD) decompositions provide a powerful structural model for large covariance matrices, simultaneously capturing global shared factors and localized correct…
Uniform Approximation of Functions with Asymmetric Growth and Decay by Deep Weighted Polynomials
Kingsley Yeon, Steven B. Damelin
Functions that grow without bound on one side of the real line and decay to zero on the other cannot be approximated uniformly by ordinary polynomials on unbounded domains. Motivat…
BOLT: Block-Orthonormal Lanczos for Trace estimation of matrix functions
Kingsley Yeon, Promit Ghosal, Mihai Anitescu
Efficient matrix trace estimation is essential for scalable computation of log-determinants, matrix norms, and distributional divergences. In many large-scale applications, the mat…