Zobrazeno 1 - 10
of 3 249
pro vyhledávání: '"Bullo, A."'
Firing rate models are dynamical systems widely used in applied and theoretical neuroscience to describe local cortical dynamics in neuronal populations. By providing a macroscopic perspective of neuronal activity, these models are essential for inve
Externí odkaz:
http://arxiv.org/abs/2411.07388
The Hopfield model provides a mathematically idealized yet insightful framework for understanding the mechanisms of memory storage and retrieval in the human brain. This model has inspired four decades of extensive research on learning and retrieval
Externí odkaz:
http://arxiv.org/abs/2411.05849
The growing demand for intelligent applications beyond the network edge, coupled with the need for sustainable operation, are driving the seamless integration of deep learning (DL) algorithms into energy-limited, and even energy-harvesting end-device
Externí odkaz:
http://arxiv.org/abs/2411.02471
In this letter, we study the proximal gradient dynamics. This recently-proposed continuous-time dynamics solves optimization problems whose cost functions are separable into a nonsmooth convex and a smooth component. First, we show that the cost func
Externí odkaz:
http://arxiv.org/abs/2409.10664
The Deffuant-Weisbuch (DW) model is a well-known bounded-confidence opinion dynamics that has attracted wide interest. Although the heterogeneous DW model has been studied by simulations over $20$ years, its convergence proof is open. Our previous pa
Externí odkaz:
http://arxiv.org/abs/2409.01593
Recent studies on stability and contractivity have highlighted the importance of semi-inner products, which we refer to as ``pairings'', associated with general norms. A pairing is a binary operation that relates the derivative of a curve's norm to t
Externí odkaz:
http://arxiv.org/abs/2408.17350
Multistationarity - the existence of multiple equilibrium points - is a common phenomenon in dynamical systems from a variety of fields, including neuroscience, opinion dynamics, systems biology, and power systems. A recently proposed generalization
Externí odkaz:
http://arxiv.org/abs/2408.12790
In competitive resource allocation formulations multiple agents compete over different contests by committing their limited resources in them. For these settings, contest games offer a game-theoretic foundation to analyze how players can efficiently
Externí odkaz:
http://arxiv.org/abs/2408.00883
Autor:
Davydov, Alexander, Bullo, Francesco
Contraction theory is a mathematical framework for studying the convergence, robustness, and modularity properties of dynamical systems and algorithms. In this opinion paper, we provide five main opinions on the virtues of contraction theory. These o
Externí odkaz:
http://arxiv.org/abs/2404.11707
Autor:
Davydov, Alexander, Bullo, Francesco
In this letter, we investigate sufficient conditions for the exponential stability of LTI systems driven by controllers derived from parametric optimization problems. Our primary focus is on parametric projection controllers, namely parametric progra
Externí odkaz:
http://arxiv.org/abs/2403.08159