From the 1 of 7 linked papers with an AI index.
7 papers
Gluing methods for quantitative stability of optimal transport maps
Cyril Letrouit, Quentin Mérigot
The paper proves that the optimal quadratic transport map from a fixed density to a varying measure depends bi‑Hölder continuously on the target measure, establishing quantitative…
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…
Quantum mixing on large Schreier graphs
Charles Bordenave, Cyril Letrouit, Mostafa Sabri
We prove quantum ergodicity and quantum mixing for sequences of finite Schreier graphs converging to an infinite Cayley graph whose adjacency operator has absolutely continuous spe…
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…
Delocalized eigenvectors of transitive graphs and beyond
Nicolas Burq, Cyril Letrouit
We prove delocalization of eigenvectors of vertex-transitive graphs via elementary estimates of the spectral projector. We recover in this way known results which were formerly pro…
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 , whe…