Rachid Caich

collaborators

3 papers

cs.LG2026

Local-Global Geometric Insights for Graph Neural Networks via Entropic Curvature

Rachid Caich, Yassine Abbahaddou

Curvature notions on graphs, particularly Ollivier-Ricci and Forman, have emerged as powerful tools for addressing fundamental issues in Graph Neural Networks (GNNs) such as oversm…

math.NT2024

Almost sure upper bound for a model problem for multiplicative chaos in number theory

Rachid Caich

The goal of this work is to prove a new sure upper bound in a setting that can be thought of as a simplified function field analogue. This result is comparable to a recent result o…

math.NT2024

Almost sure upper bound for random multiplicative functions

Rachid Caich

Let $ε > 0$ . Let $f$ be a Steinhaus or Rademacher random multiplicative function. We prove that we have almost surely, as $x \to + \infty$ , $$ \sum_{n \leqslant x} f(n) \ll…