3 citations · 5 across the 5 of their papers we have counts for
5 papers
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…
Asymptotic regime for impropriety tests of complex random vectors
Florent Chatelain, Nicolas Le Bihan, Jonathan H. Manton
Impropriety testing for complex-valued vector has been considered lately due to potential applications ranging from digital communications to complex media imaging. This paper prov…
Riemannian Gaussian distributions on the space of positive-definite quaternion matrices
Salem Said, Nicolas Le Bihan, Jonathan H. Manton
Recently, Riemannian Gaussian distributions were defined on spaces of positive-definite real and complex matrices. The present paper extends this definition to the space of positiv…
SALZA: Soft algorithmic complexity estimates for clustering and causality inference
Marion Revolle, Cayre François, Nicolas Le Bihan
A complete set of practical estimators for the conditional, simple and joint algorihmic complexities is presented, from which a semi-metric is derived. Also, new directed informati…
The hyperanalytic signal
Nicolas Le Bihan, Stephen J. Sangwine
The concept of the analytic signal is extended from the case of a real signal with a complex analytic signal to a complex signal with a hypercomplex analytic signal (which we call…