1 citations · 1 across the 2 of their papers we have counts for
4 papers
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…
Random multiplicative functions and typical size of character in short intervals
Rachid Caich
We examine the conditions under which the sum of random multiplicative functions in short intervals, given by , exhibits the phenomenon of \textit{be…
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…
Almost sure upper bound for random multiplicative functions
Rachid Caich
Let . Let be a Steinhaus or Rademacher random multiplicative function. We prove that we have almost surely, as , $$ \sum_{n \leqslant x} f(n) \ll…