786 citations · 2.4k across the 106 of their papers we have counts for
11 papers · 1 filter
A Riemannian geometry for low-rank matrix completion
B. Mishra, K. Adithya Apuroop, R. Sepulchre
We propose a new Riemannian geometry for fixed-rank matrices that is specifically tailored to the low-rank matrix completion problem. Exploiting the degree of freedom of a quotient…
Sensitivity analysis of circadian entrainment in the space of phase response curves
Pierre Sacré, Rodolphe Sepulchre
Sensitivity analysis is a classical and fundamental tool to evaluate the role of a given parameter in a given system characteristic. Because the phase response curve is a fundament…
An anisotropy preserving metric for DTI processing
Anne Collard, Silvère Bonnabel, Christophe Phillips +1
Statistical analysis of Diffusion Tensor Imaging (DTI) data requires a computational framework that is both numerically tractable (to account for the high dimensional nature of the…
A Balance Equation Determines a Switch in Neuronal Excitability
Alessio Franci, Guillaume Drion, Vincent Seutin +1
We use the qualitative insight of a planar neuronal phase portrait to detect an excitability switch in arbitrary conductance-based models from a simple mathematical condition. The…
Kick synchronization versus diffusive synchronization
Alexandre Mauroy, Pierre Sacré, Rodolphe Sepulchre
The paper provides an introductory discussion about two fundamental models of oscillator synchronization: the (continuous-time) diffusive model, that dominates the mathematical lit…
Fixed-rank matrix factorizations and Riemannian low-rank optimization
B. Mishra, G. Meyer, S. Bonnabel +1
Motivated by the problem of learning a linear regression model whose parameter is a large fixed-rank non-symmetric matrix, we consider the optimization of a smooth cost function de…