142 citations · 442 across the 20 of their papers we have counts for
22 papers
Interplay between Excitability and Noise in Analog Spiking Neurons
Léopold Van Brandt, Alon Ascoli, Michele Bonnin +3
A spiking neuron is a dynamical system exhibiting a limit cycle (a spike) when subject to sufficiently excitatory input. Famous neuroscience experiments by Bryant and Segundo as we…
Random Wavelet Features for Graph Kernel Machines
Valentin de Bassompierre, Jean-Charles Delvenne, Laurent Jacques
Node embeddings map graph vertices into low-dimensional Euclidean spaces while preserving structural information. They are central to tasks such as node classification, link predic…
Analog and Symbolic Computation through the Koopman Framework
Francesco Caravelli, Jean-Charles Delvenne
We develop a Koopman operator framework for studying the {computational properties} of dynamical systems. Specifically, we show that the resolvent of the Koopman operator provides…
Thermodynamic Geometric Constraint on the Spectrum of Markov Rate Matrices
Guo-Hua Xu, Artemy Kolchinsky, Jean-Charles Delvenne +1
The spectrum of Markov generators encodes physical information beyond simple decay and oscillation, which reflects irreversibility and governs the structure of correlation function…
Theoretical Barriers in Bellman-Based Reinforcement Learning
Brieuc Pinon, Raphaël Jungers, Jean-Charles Delvenne
Reinforcement Learning algorithms designed for high-dimensional spaces often enforce the Bellman equation on a sampled subset of states, relying on generalization to propagate know…
Predicting State Transitions in Autonomous Nonlinear Bistable Systems with Hidden Stochasticity
Léopold Van Brandt, Jean-Charles Delvenne
Bistable autonomous systems can be found inmany areas of science. When the intrinsic noise intensity is large, these systems exhibits stochastic transitions from onemetastable stea…
Moments of Entropy Production in Dissipative Devices
Jean-Charles Delvenne, Léopold Van Brandt
We characterize the possible moments of entropy production for general overdamped Markovian systems. We find a general formulation of the problem, and derive a new necessary condit…
Stochastic Nonlinear Dynamical Modelling of SRAM Bitcells in Retention Mode
Léopold Van Brandt, Denis Flandre, Jean-Charles Delvenne
SRAM bitcells in retention mode behave as autonomous stochastic nonlinear dynamical systems. From observation of variability-aware transient noise simulations, we provide an unidim…
Variability-Aware Noise-Induced Dynamic Instability of Ultra-Low-Voltage SRAM Bitcells
Léopold Van Brandt, Jean-Charles Delvenne, Denis Flandre
Stability of ultra-low-voltage SRAM bitcells in retention mode is threatened by two types of uncertainty: process variability and intrinsic noise. While variability dominates the f…
Efficiency Separation between RL Methods: Model-Free, Model-Based and Goal-Conditioned
Brieuc Pinon, Raphaël Jungers, Jean-Charles Delvenne
We prove a fundamental limitation on the efficiency of a wide class of Reinforcement Learning (RL) algorithms. This limitation applies to model-free RL methods as well as a broad r…
The non-Landauer Bound for the Dissipation of Bit Writing Operation
Léopold Van Brandt, Jean-Charles Delvenne
We propose a novel bound on the mimimum dissipation required in any circumstances to transfer a certain amount of charge through any resistive device. We illustrate it on the task…
Noise-dissipation relation for nonlinear electronic circuits
Léopold Van Brandt, Jean-Charles Delvenne
An extension of fluctuation-dissipation theorem is used to derive a "speed limit" theorem for nonlinear electronic devices. This speed limit provides a lower bound on the dissipati…
Bounding Variance and Skewness of Fluctuations in Nonlinear Mesoscopic Systems with Stochastic Thermodynamics
Jean-Charles Delvenne, Léopold Van Brandt
Fluctuations arising in nonlinear dissipative systems (diode, transistors, chemical reaction, etc.) subject to an external drive (voltage, chemical potential, etc.) are well known…
The Thermo-Kinetic Relations
Jean-Charles Delvenne, Gianmaria Falasco
Thermo-Kinetic relations bound thermodynamic quantities such as entropy production with statistics of dynamical observables. We introduce a Thermo-Kinetic Relation to bound the ent…
Beyond Thermodynamic Uncertainty Relations: nonlinear response, error-dissipation trade-offs, and speed limits
Gianmaria Falasco, Massimiliano Esposito, Jean-Charles Delvenne
From a recent geometric generalization of Thermodynamic Uncertainty Relations (TURs) we derive novel upper bounds on the nonlinear response of an observable of an arbitrary system…
Stochastic Thermodynamics of Non-Linear Electronic Circuits: A Realistic Framework for Computing around kT
Nahuel Freitas, Jean-Charles Delvenne, Massimiliano Esposito
We present a general formalism for the construction of thermodynamically consistent stochastic models of non-linear electronic circuits. The devices constituting the circuit can ha…
Unifying Thermodynamic Uncertainty Relations
Gianmaria Falasco, Massimiliano Esposito, Jean-Charles Delvenne
We introduce a new technique to bound the fluctuations exhibited by a physical system, based on the Euclidean geometry of the space of observables. Through a simple unifying argume…
Stochastic and Quantum Thermodynamics of Driven RLC Networks
Nahuel Freitas, Jean-Charles Delvenne, Massimiliano Esposito
We develop a general stochastic thermodynamics of RLC electrical networks built on top of a graph-theoretical representation of the dynamics commonly used by engineers. The network…
On Lyapunov functions and gradient flow structures in linear consensus systems
Herbert Mangesius, Jean-Charles Delvenne
Quadratic Lyapunov functions are prevalent in stability analysis of linear consensus systems. In this paper we show that weighted sums of convex functions of the different coordina…
Maximum work extraction and implementation costs for non-equilibrium Maxwell's demons
Henrik Sandberg, Jean-Charles Delvenne, Nigel J. Newton +1
In this theoretical study, we determine the maximum amount of work extractable in finite time by a demon performing continuous measurements on a quadratic Hamiltonian system subjec…
Diffusion on networked systems is a question of time or structure
Jean-Charles Delvenne, Renaud Lambiotte, Luis E. C. Rocha
Network science investigates the architecture of complex systems to understand their functional and dynamical properties. Structural patterns such as communities shape diffusive pr…
The Continuous Skolem-Pisot Problem: On the Complexity of Reachability for Linear Ordinary Differential Equations
Paul Bell, Jean-Charles Delvenne, Raphael Jungers +1
We study decidability and complexity questions related to a continuous analogue of the Skolem-Pisot problem concerning the zeros and nonnegativity of a linear recurrent sequence. I…