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math.PR2026
Exact Asymptotics for the 2D Euclidean Random Matching Problem
Victor Armegioiu, Michael Goldman, Francesco Grotto +1
We determine the exact first-order asymptotics of the expected optimal cost in two-dimensional random bipartite matching, for every finite power cost , on the flat torus.…
math.PR2026
Functional Large Deviations for Wide Deep Neural Networks with Gaussian Initialization and Lipschitz Activations
Claudio Macci, Barbara Pacchiarotti, Katerina Papagiannouli +2
We establish a functional large deviation principle for fully connected multi-layer perceptrons with i.i.d. Gaussian weights (LeCun initialization) and general Lipschitz activation…