Search Results for author: Rodolphe Sepulchre

Found 30 papers, 7 papers with code

A Large-Scale Simulation Method for Neuromorphic Circuits

no code implementations9 Apr 2024 Amir Shahhosseini, Thomas Chaffey, Rodolphe Sepulchre

Splitting algorithms are well-established in convex optimization and are designed to solve large-scale problems.

Neuromorphic Control of a Pendulum

1 code implementation8 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.

Kernel Modelling of Fading Memory Systems

no code implementations18 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.

Robust online estimation of biophysical neural circuits

1 code implementation8 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.

Differential geometry with extreme eigenvalues in the positive semidefinite cone

no code implementations14 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.

Open-loop contraction design

no code implementations9 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.

Loop Shaping with Scaled Relative Graphs

no code implementations9 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.

On the incremental form of dissipativity

no code implementations9 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.

Rapid and robust synchronization via weak synaptic coupling Extended arXiv version

no code implementations18 Jul 2022 Jin Gyu Lee, Rodolphe Sepulchre

This paper examines how weak synaptic coupling can achieve rapid synchronization in heterogeneous networks.

Adaptive Conductance Control

no code implementations19 Apr 2022 Raphael Schmetterling, Thiago Burghi, Rodolphe Sepulchre

Neuromodulation is central to the adaptation and robustness of animal nervous systems.

Distributed online estimation of biophysical neural networks

no code implementations4 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.

Reliability of Event Timing in Silicon Neurons

no code implementations28 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.

Spiking Control Systems

no code implementations7 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.

Monotone one-port circuits

1 code implementation30 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.

Adaptive observers for biophysical neuronal circuits

1 code implementation3 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.

Graphical Nonlinear System Analysis

no code implementations23 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.

Oscillations in Mixed-Feedback Systems

no code implementations30 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.

Scaled relative graphs for system analysis

no code implementations25 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.

Monotone RLC Circuits

no code implementations21 Dec 2020 Thomas Chaffey, Rodolphe Sepulchre

The circuit-theoretic origins of maximal monotonicity are revisited using modern optimization algorithms for maximal monotone operators.

System identification of biophysical neuronal models

no code implementations14 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.

Neuromorphic Control

1 code implementation9 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.

Inductive Geometric Matrix Midranges

no code implementations2 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.

Clustering

Differential dissipativity analysis of reaction-diffusion systems

no code implementations2 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.

Feedback Identification of conductance-based models

no code implementations22 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.

Neuromodulation of Neuromorphic Circuits

1 code implementation15 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.

Conal Distances Between Rational Spectral Densities

1 code implementation9 Aug 2017 Giacomo Baggio, Augusto Ferrante, Rodolphe Sepulchre

The paper generalizes Thompson and Hilbert metric to the space of spectral densities.

Optimization and Control

Scaled stochastic gradient descent for low-rank matrix completion

no code implementations16 Mar 2016 Bamdev Mishra, Rodolphe Sepulchre

The paper looks at a scaled variant of the stochastic gradient descent algorithm for the matrix completion problem.

Low-Rank Matrix Completion

On the Projective Geometry of Kalman Filter

no code implementations31 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.

Sparse plus low-rank autoregressive identification in neuroimaging time series

no code implementations30 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.

Time Series Time Series Analysis

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