Publications (37)
Positivity, monotonicity, and consensus on Lie groups
Cyrus Mostajeran, Rodolphe Sepulchre
A three-scale model of spatio-temporal bursting
Alessio Franci, Rodolphe Sepulchre
On the Projective Geometry of Kalman Filter
Francesca Paola Carli, Rodolphe Sepulchre
Modulation and Robustness of Endogenous Neuronal Spiking
Guillaume Drion, Alessio Franci, Vincent Seutin +1
A Novel Phase Portrait to Understand Neuronal Excitability
Alessio Franci, Guillaume Drion, Vincent Seutin +1
Statistical tests for group comparison of manifold-valued data
Anne Collard, Christophe Phillips, Rodolphe Sepulchre
Scaled stochastic gradient descent for low-rank matrix completion
Bamdev Mishra, Rodolphe Sepulchre
Contraction of monotone phase-coupled oscillators
Alexandre Mauroy, Rodolphe Sepulchre
Cellular switches orchestrate rhythmic circuits
Guillaume Drion, Alessio Franci, Rodolphe Sepulchre
Synchronization in Networks of Identical Linear Systems
Luca Scardovi, Rodolphe Sepulchre
Generalized power method for sparse principal component analysis
Michel Journée, Yurii Nesterov, Peter Richtárik +1
Strongly unimodal systems
Christian Grussler, Rodolphe Sepulchre
A positive feedback at the cellular level promotes robustness and modulation at the circuit level
Julie Dethier, Guillaume Drion, Alessio Franci +1
Manopt, a Matlab toolbox for optimization on manifolds
Nicolas Boumal, Bamdev Mishra, P. -A. Absil +1
Conal Distances Between Rational Spectral Densities
Giacomo Baggio, Augusto Ferrante, Rodolphe Sepulchre
Consensus in non-commutative spaces
Rodolphe Sepulchre, Alain Sarlette, Pierre Rouchon
Modeling the modulation of neuronal bursting: a singularity theory approach
Alessio Franci, Guillaume Drion, Rodolphe Sepulchre
Monotonicity on homogeneous spaces
Cyrus Mostajeran, Rodolphe Sepulchre
Rank-preserving geometric means of positive semi-definite matrices
Silvere Bonnabel, Anne Collard, Rodolphe Sepulchre
An organizing center in a planar model of neuronal excitability
Alessio Franci, Guillaume Drion, Rodolphe Sepulchre
A spectral characterization of nonlinear normal modes
Giuseppe Ilario Cirillo, Alexandre Mauroy, Ludovic Renson +2
An anisotropy preserving metric for DTI processing
Anne Collard, Silvère Bonnabel, Christophe Phillips +1
Consensus optimization on manifolds
Alain Sarlette, Rodolphe Sepulchre
Control limitations from distributed sensing: theory and Extremely Large Telescope application
Alain Sarlette, Rodolphe Sepulchre
Stabilization of Three-Dimensional Collective Motion
Luca Scardovi, Naomi Leonard, Rodolphe Sepulchre
AR Identification of Latent-variable Graphical Models
Mattia Zorzi, Rodolphe Sepulchre
Cerebral functional connectivity periodically (de)synchronizes with anatomical constraints
Raphaël Liégeois, Erik Ziegler, Pierre Geurts +7
Regression on fixed-rank positive semidefinite matrices: a Riemannian approach
Gilles Meyer, Silvere Bonnabel, Rodolphe Sepulchre
Coordinated motion design on Lie groups
Alain Sarlette, Silvère Bonnabel, Rodolphe Sepulchre
Riemannian preconditioning
Bamdev Mishra, Rodolphe Sepulchre
Robust and tunable bursting requires slow positive feedback
Alessio Franci, Guillaume Drion, Rodolphe Sepulchre
Realization of nonlinear behaviors from organizing centers
Alessio Franci, Rodolphe Sepulchre
A Balance Equation Determines a Switch in Neuronal Excitability
Alessio Franci, Guillaume Drion, Vincent Seutin +1
Synchronization on the circle
Alain Sarlette, Rodolphe Sepulchre
Factor Analysis of Moving Average Processes
Mattia Zorzi, Rodolphe Sepulchre
Modulation of beta oscillations during movement initiation: modeling the ionic basis of a functional switch
Julie Dethier, Guillaume Drion, Alessio Franci +1
Global analysis of a continuum model for monotone pulse-coupled oscillators
Alexandre Mauroy, Rodolphe Sepulchre