Search Results for author: Hugo Lebeau

Found 3 papers, 1 papers with code

Asymptotic Gaussian Fluctuations of Eigenvectors in Spectral Clustering

no code implementations19 Feb 2024 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.

Clustering

Performance Gaps in Multi-view Clustering under the Nested Matrix-Tensor Model

1 code implementation16 Feb 2024 Hugo Lebeau, Mohamed El Amine Seddik, José Henrique de Morais Goulart

We study the estimation of a planted signal hidden in a recently introduced nested matrix-tensor model, which is an extension of the classical spiked rank-one tensor model, motivated by multi-view clustering.

Clustering

A Random Matrix Approach to Low-Multilinear-Rank Tensor Approximation

no code implementations5 Feb 2024 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.

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