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Relaxation systems and cyclic monotonicity
Thomas Chaffey, Henk J. van Waarde, Rodolphe Sepulchre
It is shown that an LTI system is a relaxation system if and only if its Hankel operator is cyclic monotone. Cyclic monotonicity of the Hankel operator implies the existence of a s…
Robust online estimation of biophysical neural circuits
Raphael Schmetterling, Thiago B. Burghi, Rodolphe Sepulchre
The control of neuronal networks, whether biological or neuromorphic, relies on tools for estimating parameters in the presence of model uncertainty. In this work, we explore the r…
Differential geometry with extreme eigenvalues in the positive semidefinite cone
Cyrus Mostajeran, Nathaël Da Costa, Graham Van Goffrier +1
Differential geometric approaches to the analysis and processing of data in the form of symmetric positive definite (SPD) matrices have had notable successful applications to numer…