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math.NA2025
Identifiability of Nonnegative Tucker Decompositions -- Part I: Theory
Subhayan Saha, Giovanni Barbarino, Nicolas Gillis
Tensor decompositions have become a central tool in data science, with applications in areas such as data analysis, signal processing, and machine learning. A key property of many…
math.NA2024
On the Robustness of the Successive Projection Algorithm
Giovanni Barbarino, Nicolas Gillis
The successive projection algorithm (SPA) is a workhorse algorithm to learn the vertices of the convex hull of a set of -dimensional data points, a.k.a. a latent simplex…