1 citations · 1 across the 3 of their papers we have counts for
5 papers
A Random Matrix Analysis of Symmetric Tensor Unfolding
Tom Szwagier, Xiaoyi Mai, José Henrique de Morais Goulart
We study a fundamental problem in machine learning: partial recovery of a planted signal from a spiked tensor $\boldsymbol{\mathsf{X}} = λ\, \…
Whitening Spherical Gaussian Mixtures in the Large-Dimensional Regime
Mohammed Racim Moussa Boudjemaa, Alper Kalle, Xiaoyi Mai +2
Whitening is a classical technique in unsupervised learning that can facilitate estimation tasks by standardizing data. An important application is the estimation of latent variabl…
Performance Gaps in Multi-view Clustering under the Nested Matrix-Tensor Model
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, motivat…
Hotelling Deflation on Large Symmetric Spiked Tensors
Mohamed El Amine Seddik, José Henrique de Morais Goulart, Maxime Guillaud
This paper studies the deflation algorithm when applied to estimate a low-rank symmetric spike contained in a large tensor corrupted by additive Gaussian noise. Specifically, we pr…
On the Realization of Impulse Invariant Bilinear Volterra Kernels
Phillip M. S. Burt, José Henrique de Morais Goulart
As previously shown, the direct extension of the impulse invariance principle to Volterra kernels has to be modified in order to provide a condition for the exact modeling of mixed…