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math.NA2025
Convergence of pivoted Cholesky for Lipschitz kernels
Sungwoo Jeong, Alex Townsend, Christopher Wang
We investigate the continuous analogue of the Cholesky factorization, namely the pivoted Cholesky algorithm. Our analysis establishes quantitative convergence guarantees for kernel…
math.DS2025
The Distributional Koopman Operator for Random Dynamical Systems
Maria Oprea, Alex Townsend, Yunan Yang
The Distributional Koopman Operator (DKO) is introduced as a way to perform Koopman analysis on random dynamical systems where only aggregate distribution data is available, thereb…