3 papers
math.DS2026
Positive-Allocation Companion Predictors for Nonlinear Dynamics and Their Finite-Difference Diagnostics
Cynthia V. Flores, James E. Pascoe
We introduce a positive-allocation companion construction for Koopman-inspired finite-dimensional prediction of nonlinear dynamical systems. The method determines recurrence coeffi…
math.ST2026
On positive definite thresholding of correlation matrices
Sujit Sakharam Damase, James Eldred Pascoe
Standard thresholding techniques for correlation matrices often destroy positive semidefiniteness. We investigate the construction of positive definite functions that vanish on spe…
math.FA2026
Complete discrete Schoenberg-Delsarte theory for homogeneous spaces
Sujit Sakharam Damase, James Eldred Pascoe
We develop a theory of partially defined complete positivity preservers, extending Schoenberg's classical characterization to functions defined only on discrete subsets or constrai…