4 papers
Asymptotic Bayes risk of semi-supervised learning with uncertain labeling
Victor Leger, Romain Couillet
This article considers a semi-supervised classification setting on a Gaussian mixture model, where the data is not labeled strictly as usual, but instead with uncertain labels. Our…
A Large Dimensional Analysis of Multi-task Semi-Supervised Learning
Victor Leger, Romain Couillet
This article conducts a large dimensional study of a simple yet quite versatile classification model, encompassing at once multi-task and semi-supervised learning, and taking into…
Asymptotic Gaussian Fluctuations of Eigenvectors in Spectral Clustering
Hugo Lebeau, Florent Chatelain, Romain Couillet
The performance of spectral clustering relies on the fluctuations of the entries of the eigenvectors of a similarity matrix, which has been left uncharacterized until now. In this…
A Random Matrix Approach to Low-Multilinear-Rank Tensor Approximation
Hugo Lebeau, Florent Chatelain, Romain Couillet
This work presents a comprehensive understanding of the estimation of a planted low-rank signal from a general spiked tensor model near the computational threshold. Relying on stan…