3 papers
math.RA2026
On the rank of quaternion Hankel matrices
Philippe Flores, Julien Flamant, Nicolas Le Bihan
This paper discusses the left and right ranks of quaternion matrices with Hankel structure. While they are in general different for arbitrary quaternion matrices, we show that the…
eess.SP2025
Coupled tensor models for probability mass function estimation: Part II, Uniqueness of the model
Philippe Flores, Konstantin Usevich, David Brie
In this paper, uniqueness properties of a coupled tensor model are studied. This new coupled tensor model is used in a new method called Partial Coupled Tensor Factorization of 3D…
eess.SP2025
Coupled tensor models for probability mass function estimation: Part I, Principles and algorithms
Philippe Flores, Konstantin Usevich, David Brie
In this article, a Probability Mass Function (PMF) estimation method which tames the curse of dimensionality is proposed. This method, called Partial Coupled Tensor Factorization o…