no code implementations • 9 Apr 2024 • Amir Shahhosseini, Thomas Chaffey, Rodolphe Sepulchre
Splitting algorithms are well-established in convex optimization and are designed to solve large-scale problems.
1 code implementation • 8 Apr 2024 • Raphael Schmetterling, Fulvio Forni, Alessio Franci, Rodolphe Sepulchre
We illustrate the potential of neuromorphic control on the simple mechanical model of a pendulum, with both event-based actuation and sensing.
no code implementations • 18 Mar 2024 • Yongkang Huo, Thomas Chaffey, Rodolphe Sepulchre
The paper introduces a kernel-based framework to model and identify time-invariant systems with the fading memory property.
1 code implementation • 8 Sep 2023 • 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.
no code implementations • 14 Apr 2023 • Cyrus Mostajeran, Nathaël Da Costa, Graham Van Goffrier, Rodolphe Sepulchre
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 numerous fields including computer vision, medical imaging, and machine learning.
no code implementations • 9 Sep 2022 • Jin Gyu Lee, Thiago B. Burghi, Rodolphe Sepulchre
This paper stresses the analogy of this question with the classical question of feedback stabilization.
no code implementations • 9 Aug 2022 • Thomas Chaffey, Fulvio Forni, Rodolphe Sepulchre
The Scaled Relative Graph (SRG) is a generalization of the Nyquist diagram that may be plotted for nonlinear operators, and allows nonlinear robustness margins to be defined graphically.
no code implementations • 9 Aug 2022 • Rodolphe Sepulchre, Thomas Chaffey, Fulvio Forni
Following the seminal work of Zames, the input-output theory of the 70s acknowledged that incremental properties (e. g. incremental gain) are the relevant quantities to study in nonlinear feedback system analysis.
no code implementations • 18 Jul 2022 • Jin Gyu Lee, Rodolphe Sepulchre
This paper examines how weak synaptic coupling can achieve rapid synchronization in heterogeneous networks.
no code implementations • 19 Apr 2022 • Raphael Schmetterling, Thiago Burghi, Rodolphe Sepulchre
Neuromodulation is central to the adaptation and robustness of animal nervous systems.
no code implementations • 4 Apr 2022 • Thiago B. Burghi, Timothy O'Leary, Rodolphe Sepulchre
In this work, we propose a distributed adaptive observer for a class of nonlinear networked systems inspired by biophysical neural network models.
no code implementations • 28 Dec 2021 • Tai Miyazaki Kirby, Luka Ribar, Rodolphe Sepulchre
Analog, low-voltage electronics show great promise in producing silicon neurons (SiNs) with unprecedented levels of energy efficiency.
no code implementations • 7 Dec 2021 • Rodolphe Sepulchre
The central thesis is that the mixed nature of spiking results from a mixed feedback principle, and that a control theory of mixed feedback can be grounded in the operator theoretic concept of maximal monotonicity.
1 code implementation • 30 Nov 2021 • Thomas Chaffey, Rodolphe Sepulchre
Maximal monotonicity is explored as a generalization of the linear theory of passivity, aiming at an algorithmic input/output analysis of physical models.
1 code implementation • 3 Nov 2021 • Thiago B. Burghi, Rodolphe Sepulchre
This paper presents adaptive observers for online state and parameter estimation of a class of nonlinear systems motivated by biophysical models of neuronal circuits.
no code implementations • 23 Jul 2021 • Thomas Chaffey, Fulvio Forni, Rodolphe Sepulchre
We use the recently introduced concept of a Scaled Relative Graph (SRG) to develop a graphical analysis of input-output properties of feedback systems.
no code implementations • 30 Mar 2021 • Amritam Das, Thomas Chaffey, Rodolphe Sepulchre
The calculation of the limit cycle is reformulated as the zero finding of a mixed-monotone relation, that is, of the difference of two maximally monotone relations.
no code implementations • 25 Mar 2021 • Thomas Chaffey, Fulvio Forni, Rodolphe Sepulchre
Scaled relative graphs were recently introduced to analyze the convergence of optimization algorithms using two dimensional Euclidean geometry.
no code implementations • 21 Dec 2020 • Thomas Chaffey, Rodolphe Sepulchre
The circuit-theoretic origins of maximal monotonicity are revisited using modern optimization algorithms for maximal monotone operators.
no code implementations • 14 Dec 2020 • Thiago B. Burghi, Maarten Schoukens, Rodolphe Sepulchre
After sixty years of quantitative biophysical modeling of neurons, the identification of neuronal dynamics from input-output data remains a challenging problem, primarily due to the inherently nonlinear nature of excitable behaviors.
1 code implementation • 9 Nov 2020 • Luka Ribar, Rodolphe Sepulchre
Neuromorphic engineering is a rapidly developing field that aims to take inspiration from the biological organization of neural systems to develop novel technology for computing, sensing, and actuating.
no code implementations • 2 Jun 2020 • Graham W. Van Goffrier, Cyrus Mostajeran, Rodolphe Sepulchre
Covariance data as represented by symmetric positive definite (SPD) matrices are ubiquitous throughout technical study as efficient descriptors of interdependent systems.
no code implementations • 2 May 2020 • Felix Miranda-Villatoro, Rodolphe Sepulchre
This note shows how classical tools from linear control theory can be leveraged to provide a global analysis of nonlinear reaction-diffusion models.
no code implementations • 22 Feb 2020 • Thiago B. Burghi, Maarten Schoukens, Rodolphe Sepulchre
This paper applies the classical prediction error method (PEM) to the estimation of nonlinear discrete-time models of neuronal systems subject to input-additive noise.
1 code implementation • 15 May 2018 • Luka Ribar, Rodolphe Sepulchre
We present a novel methodology to enable control of a neuromorphic circuit in close analogy with the physiological neuromodulation of a single neuron.
1 code implementation • 9 Aug 2017 • Giacomo Baggio, Augusto Ferrante, Rodolphe Sepulchre
The paper generalizes Thompson and Hilbert metric to the space of spectral densities.
Optimization and Control
no code implementations • 16 Mar 2016 • Bamdev Mishra, Rodolphe Sepulchre
The paper looks at a scaled variant of the stochastic gradient descent algorithm for the matrix completion problem.
no code implementations • 31 Mar 2015 • Francesca Paola Carli, Rodolphe Sepulchre
Convergence of the Kalman filter is best analyzed by studying the contraction of the Riccati map in the space of positive definite (covariance) matrices.
no code implementations • 30 Mar 2015 • Raphaël Liégeois, Bamdev Mishra, Mattia Zorzi, Rodolphe Sepulchre
This paper considers the problem of identifying multivariate autoregressive (AR) sparse plus low-rank graphical models.
no code implementations • 23 Aug 2013 • Nicolas Boumal, Bamdev Mishra, P. -A. Absil, Rodolphe Sepulchre
Optimization on manifolds is a rapidly developing branch of nonlinear optimization.