359 citations · 1.4k across the 40 of their papers we have counts for
3 papers · 1 filter
A Separation Principle on Lie Groups
Silvere Bonnabel, Philippe Martin, Pierre Rouchon +1
For linear time-invariant systems, a separation principle holds: stable observer and stable state feedback can be designed for the time-invariant system, and the combined observer…
Rank-preserving geometric means of positive semi-definite matrices
Silvere Bonnabel, Anne Collard, Rodolphe Sepulchre
The generalization of the geometric mean of positive scalars to positive definite matrices has attracted considerable attention since the seminal work of Ando. The paper generalize…
Regression on fixed-rank positive semidefinite matrices: a Riemannian approach
Gilles Meyer, Silvere Bonnabel, Rodolphe Sepulchre
The paper addresses the problem of learning a regression model parameterized by a fixed-rank positive semidefinite matrix. The focus is on the nonlinear nature of the search space…