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Network's resilience to the malfunction of its components has been of great concern. The goal of this work is to determine the network design guidelines, which maximizes the network efficiency while keeping the cost of the network (that is…

Disordered Systems and Neural Networks · Physics 2009-11-11 Bing Wang , Huanwen Tang , Chonghui Guo , Zhilong Xiu , Tao Zhou

We explore a case example of networks of classical electronic oscillators evolving towards the solution of complex optimization problems. We show that when driven into subharmonic response, a network of such nonlinear electrical resonators…

Pattern Formation and Solitons · Physics 2022-04-04 L. Q. English , A. V. Zampetaki , K. P. Kalinin , N. G. Berloff , P. G. Kevrekidis

Fixed-point quantization and binarization are two reduction methods adopted to deploy Convolutional Neural Networks (CNN) on end-nodes powered by low-power micro-controller units (MCUs). While most of the existing works use them as…

Computer Vision and Pattern Recognition · Computer Science 2020-01-28 Luca Mocerino , Andrea Calimera

Neurons are the central biological objects in understanding how the brain works. The famous Hodgkin-Huxley model, which describes how action potentials of a neuron are initiated and propagated, consists of four coupled nonlinear…

Neurons and Cognition · Quantitative Biology 2010-02-01 William Hanan , Dhagash Mehta , Guillaume Moroz , Sepanda Pouryahya

In this paper, we present a new MTL framework that searches for structures optimized for multiple tasks with diverse graph topologies and shares features among tasks. We design a restricted DAG-based central network with read-in/read-out…

Computer Vision and Pattern Recognition · Computer Science 2023-03-14 Wonhyeok Choi , Sunghoon Im

This paper presents a new deep learning-based framework for robust nonlinear estimation and control using the concept of a Neural Contraction Metric (NCM). The NCM uses a deep long short-term memory recurrent neural network for a global…

Systems and Control · Electrical Eng. & Systems 2020-11-20 Hiroyasu Tsukamoto , Soon-Jo Chung

In decentralized optimization, several nodes connected by a network collaboratively minimize some objective function. For minimization of Lipschitz functions lower bounds are known along with optimal algorithms. We study a specific class of…

Optimization and Control · Mathematics 2023-03-15 Savelii Chezhegov , Alexander Rogozin , Alexander Gasnikov

In this paper, we consider a network of agents that jointly aim to minimise the sum of local functions subject to coupling constraints involving all local variables. To solve this problem, we propose a novel solution based on a primal-dual…

Optimization and Control · Mathematics 2025-02-11 Mohamed Abdelmouamin Messilem , Guido Carnevale , Ruggero Carli

Online feedback optimization is a controller design paradigm for optimizing the steady-state behavior of a dynamical system. It employs an optimization algorithm as a dynamic feedback controller and utilizes real-time measurements to bypass…

Optimization and Control · Mathematics 2024-04-01 Wenbin Wang , Zhiyu He , Giuseppe Belgioioso , Saverio Bolognani , Florian Dörfler

We report how strategic evolution can stabilize topological states in a network of FitzHugh-Nagumo systems. The evolution follows a repeated process of adding or deleting of links between two nodes that is decided based on a threshold set…

Chaotic Dynamics · Physics 2014-03-11 Resmi V. , G. Ambika

The mathematical theory of pattern formation in electrically coupled networks of excitable neurons forced by small noise is presented in this work. Using the Freidlin-Wentzell large deviation theory for randomly perturbed dynamical systems…

Pattern Formation and Solitons · Physics 2012-06-05 Georgi S. Medvedev , Svitlana Zhuravytska

Merging and splitting are of great significance for rigid body networks in making such networks reconfigurable. The main challenges lie in simultaneously ensuring the compositionality of the distributed controllers and the mesh stability of…

Systems and Control · Electrical Eng. & Systems 2025-05-19 Zihao Song , Shirantha Welikala , Panos J. Antsaklis , Hai Lin

Distributed optimization is an important direction of research in modern optimization theory. Its applications include large scale machine learning, distributed signal processing and many others. The paper studies decentralized min-max…

Optimization and Control · Mathematics 2023-09-08 Nhat Trung Nguyen , Alexander Rogozin , Dmitry Metelev , Alexander Gasnikov

Consider a network of multiple independent stochastic linear systems where, for each system, a scheduler collocated with the sensors arbitrates data transmissions to a corresponding remote controller through a shared contention-based…

Systems and Control · Electrical Eng. & Systems 2020-05-01 M. Balaghiinaloo , D. J. Antunes , M. H. Mamduhi , S. Hirche

This paper deals with a distributed implementation of minimax adaptive control algorithm for networked dynamical systems modeled by a finite set of linear models. To hedge against the uncertainty arising out of finite number of possible…

Systems and Control · Electrical Eng. & Systems 2022-10-04 Venkatraman Renganathan , Anders Rantzer , Olle Kjellqvist

We systematically investigate the phenomena of coherence resonance in time-delay coupled networks of FitzHugh-Nagumo elements in the excitable regime. Using numerical simulations, we examine the interplay of noise, time-delayed coupling and…

Adaptation and Self-Organizing Systems · Physics 2017-10-25 Maria Masoliver , Nishant Malik , Eckehard Schöll , Anna Zakharova

Optimization in distributed networks plays a central role in almost all distributed machine learning problems. In principle, the use of distributed task allocation has reduced the computational time, allowing better response rates and…

Optimization and Control · Mathematics 2021-08-23 Elie Atallah , Nazanin Rahnavard , Chinwendu Enyioha

We propose decentralized primal-dual methods for cooperative multi-agent consensus optimization problems over both static and time-varying communication networks, where only local communications are allowed. The objective is to minimize the…

Optimization and Control · Mathematics 2022-02-23 Erfan Yazdandoost Hamedani , Necdet Serhat Aybat

In this article, we are interested in the behavior of a fully connected network of $N$ neurons, where $N$ tends to infinity. We assume that the neurons follow the stochastic FitzHugh-Nagumo model, whose specificity is the non-linearity with…

Probability · Mathematics 2024-02-14 Laetitia Colombani , Pierre Le Bris

This paper proposes novel approaches to design hierarchical decentralized robust controllers for homogeneous linear multi-agent systems (MASs) perturbed by disturbances/noise. Firstly, based on LQR method, we present a systematic procedure…

Systems and Control · Computer Science 2016-07-08 Dinh Hoa Nguyen , Tatsuo Narikiyo , Michihiro Kawanishi , Shinji Hara
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