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stat.ML2025
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…
stat.ML2024
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…