9 papers
The Yang-Mills measure on surfaces via Morse theory
Reda Chhaibi, Nguyen Viet Dang, Yannick Guedes Bonthonneau +2
We introduce a Morse theoretical approach to the construction of the Yang--Mills measure on the space of connections of a compact Riemannian surface. This provides a direct continu…
A Martingale Approach To Fluctuations of Rank Estimators in Sensitivity Analysis
Reda Chhaibi, Fabrice Gamboa, Clément Pellegrini
Given a bivariate random pair , a natural problem is to estimate, from a single sample , quantities such as $\mathbb{E}\left[ \mathbb{E}[ Y\mid X ]^…
Feature Representation Transferring to Lightweight Models via Perception Coherence
Hai-Vy Nguyen, Fabrice Gamboa, Sixin Zhang +3
In this paper, we propose a method for transferring feature representation to lightweight student models from larger teacher models. We mathematically define a new notion called \t…
Training More Robust Classification Model via Discriminative Loss and Gaussian Noise Injection
Hai-Vy Nguyen, Fabrice Gamboa, Sixin Zhang +3
Robustness of deep neural networks to input noise remains a critical challenge, as naive noise injection often degrades accuracy on clean (uncorrupted) data. We propose a novel tra…
Convolutional Rectangular Attention Module
Hai-Vy Nguyen, Fabrice Gamboa, Sixin Zhang +3
In this paper, we introduce a novel spatial attention module that can be easily integrated to any convolutional network. This module guides the model to pay attention to the most d…
Matsumoto-Yor processes on Jordan algebras
Reda Chhaibi, Manon Defosseux
The process , where is a real Brownian motion, is known as the geometric 2M-X Matsumoto--Yor process. Remarkably, it enjoys the Markov…