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cs.LG2025
GradNetOT: Learning Optimal Transport Maps with GradNets
Shreyas Chaudhari, Srinivasa Pranav, José M. F. Moura
Monotone gradient functions play a central role in solving the Monge formulation of the optimal transport (OT) problem, which arises in modern applications ranging from fluid dynam…
cs.LG2025
ReLU Networks as Random Functions: Their Distribution in Probability Space
Shreyas Chaudhari, José M. F. Moura
This paper presents a novel framework for understanding trained ReLU networks as random, affine functions, where the randomness is induced by the distribution over the inputs. By c…