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In Part II [3] we carried out a detailed mean-square-error analysis of the performance of asynchronous adaptation and learning over networks under a fairly general model for asynchronous events including random topologies, random link…

Systems and Control · Computer Science 2014-12-17 Xiaochuan Zhao , Ali H. Sayed

Natural, social, and artificial multi-agent systems usually operate in dynamic environments, where the ability to respond to changing circumstances is a crucial feature. An effective collective response requires suitable information…

Systems and Control · Computer Science 2022-09-29 David Mateo , Nikolaj Horsevad , Vahid Hassani , Mohammadreza Chamanbaz , Roland Bouffanais

We review the recent fast progress in statistical physics of evolving networks. Interest has focused mainly on the structural properties of random complex networks in communications, biology, social sciences and economics. A number of giant…

Statistical Mechanics · Physics 2015-06-24 S. N. Dorogovtsev , J. F. F. Mendes

Echo state networks are computationally lightweight reservoir models inspired by the random projections observed in cortical circuitry. As interest in reservoir computing has grown, networks have become deeper and more intricate. While…

Signal Processing · Electrical Eng. & Systems 2019-08-23 Zachariah Carmichael , Humza Syed , Dhireesha Kudithipudi

The loss surface of deep neural networks has recently attracted interest in the optimization and machine learning communities as a prime example of high-dimensional non-convex problem. Some insights were recently gained using spin glass…

Machine Learning · Statistics 2017-06-05 C. Daniel Freeman , Joan Bruna

The idea of a collective intelligence behind the complex natural structures built by organisms suggests that the organization of social networks is selected so as to optimize problem-solving competence at the group-level. Here we study the…

Social and Information Networks · Computer Science 2016-09-19 José F. Fontanari , Francisco A. Rodrigues

Forecasting the dynamics of large complex networks from previous time-series data is important in a wide range of contexts. Here we present a machine learning scheme for this task using a parallel architecture that mimics the topology of…

Machine Learning · Computer Science 2022-05-04 Keshav Srinivasan , Nolan Coble , Joy Hamlin , Thomas Antonsen , Edward Ott , Michelle Girvan

We investigate the effects of application of random time-shifts to the readouts of a reservoir computer in terms of both accuracy (training error) and performance (testing error.) For different choices of the reservoir parameters and…

Systems and Control · Electrical Eng. & Systems 2024-06-19 Enrico Del Frate , Afroza Shirin , Francesco Sorrentino

Complex network theory has recently been proposed as a promising tool for characterising interactions between aircraft, and their downstream effects. We here explore the problem of networks' topological predictability, i.e. the dependence…

Physics and Society · Physics 2025-05-01 Raúl López-Martín , Massimiliano Zanin

The structure of interactions in most of animals and human societies can be best represented by complex hierarchical networks. In order to maintain close to optimal functioning both stability and adaptability are necessary. Here we…

Physics and Society · Physics 2018-02-20 Maryam Zamani , Leonardo Camargo-Forero , Tamas Vicsek

Reservoir computing (RC) is a machine learning algorithm that can learn complex time series from data very rapidly based on the use of high-dimensional dynamical systems, such as random networks of neurons, called "reservoirs." To implement…

Machine Learning · Computer Science 2020-12-29 Yusuke Sakemi , Kai Morino , Timothée Leleu , Kazuyuki Aihara

Quantum reservoir computing (QRC) exploits the dynamical properties of quantum systems to perform machine learning tasks. We demonstrate that optimal performance in QRC can be achieved without relying on disordered systems. Systems with…

Quantum Physics · Physics 2024-11-21 Guillem Llodrà , Pere Mujal , Roberta Zambrini , Gian Luca Giorgi

While the statistical and resilience properties of the Internet are no more changing significantly across time, the Darknet, a network devoted to keep anonymous its traffic, still experiences rapid changes to improve the security of its…

Physics and Society · Physics 2017-04-05 M. De Domenico , A. Arenas

Neuromorphic computing is at the basis of the recent progress in artificial intelligence. But the progress is accompanied with increasing demands in computational resources and power supply. Reservoir neuromorphic computing uses a…

Mesoscale and Nanoscale Physics · Physics 2025-12-01 Teng Long , Yibo Deng , Xuekai Ma , Chunling Gu , Guillaume Malpuech , Qing Liao , Hongbing Fu , Dmitry Solnyshkov

We demonstrate that matching the symmetry properties of a reservoir computer (RC) to the data being processed dramatically increases its processing power. We apply our method to the parity task, a challenging benchmark problem that…

Neural network properties are considered in the case of the interconnection tensor rank being higher than two. This sort of interconnection tensor occurs in realization of crossbar-based neural networks. It is intrinsic for a crossbar…

Disordered Systems and Neural Networks · Physics 2025-04-09 Boris V. Kryzhanovsky

The robustness of connectivity and the efficiency of paths are incompatible in many real networks. We propose a self-organization mechanism for incrementally generating onion-like networks with positive degree-degree correlations whose…

Physics and Society · Physics 2016-05-09 Yukio Hayashi

Multifunctionality is ubiquitous in biological neurons. Several studies have translated the concept to artificial neural networks as well. Recently, multifunctionality in reservoir computing (RC) has gained the widespread attention of…

Chaotic Dynamics · Physics 2025-04-18 Swarnendu Mandal , Kazuyuki Aihara

Biological neural networks can perform complex computations to predict their environment, far above the limited predictive capabilities of individual neurons. While conventional approaches to understanding these computations often focus on…

Neurons and Cognition · Quantitative Biology 2024-06-28 Hanna M. Tolle , Andrea I Luppi , Anil K. Seth , Pedro A. M. Mediano

Resilience is meant as the capability of a networked infrastructure to provide its service even if some components fail: in this paper we focus on how resilience depends both on net-wide measures of connectivity and the role of a single…

Social and Information Networks · Computer Science 2020-06-29 Antonio Candelieri , Ilaria Giordani , Andrea Ponti , Francesco Archetti