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cs.LG2025
Token Sample Complexity of Attention
Léa Bohbot, Cyril Letrouit, Gabriel Peyré +1
As context windows in large language models continue to expand, it is essential to characterize how attention behaves at extreme sequence lengths. We introduce token sample complex…
math.OC2025
Unstable optimal transport maps
Cyril Letrouit
The stability of optimal transport maps with respect to perturbations of the marginals is a question of interest for several reasons, ranging from the justification of the lineariz…
math.MG2025
Stability of optimal transport maps on Riemannian manifolds
Jun Kitagawa, Cyril Letrouit, Quentin Mérigot
We prove quantitative bounds on the stability of optimal transport maps and Kantorovich potentials from a fixed source measure under variations of the target measure , when…