2 papers
eess.SP2026
Additive Noise, Shift Recovery, and Signed Signals in the Cumulative Distribution Transform
Harbir Antil, Ratna Khatri, Aryan Saxena
The cumulative distribution transform (CDT) is a quantile-based transport representation that exactly linearizes one-dimensional translations of positive densities. We study how th…
math.OC2025
OCTANE -- Optimal Control for Tensor-based Autoencoder Network Emergence: Explicit Case
Ratna Khatri, Anthony Kolshorn, Colin Olson +1
This paper presents a novel, mathematically rigorous framework for autoencoder-type deep neural networks that combines optimal control theory and low-rank tensor methods to yield m…