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Links in most real networks often change over time. Such temporality of links encodes the ordering and causality of interactions between nodes and has a profound effect on network dynamics and function. Empirical evidences have shown that…

Social and Information Networks · Computer Science 2020-07-10 Disheng Tang , Wenbo Du , Louis Shekhtman , Yijie Wang , Shlomo Havlin , Xianbin Cao , Gang Yan

This paper presents a new approach for analysing structural properties of time series from complex systems. Starting from the concept of recurrences in phase space, the recurrence matrix of a time series is interpreted as the adjacency…

Chaotic Dynamics · Physics 2011-03-03 Reik V. Donner , Y. Zou , Jonathan F. Donges , Norbert Marwan , Juergen Kurths

It is a significant challenge to predict the network topology from a small amount of dynamical observations. Different from the usual framework of the node-based reconstruction, two optimization approaches (i.e., the global and partitioned…

Physics and Society · Physics 2016-03-03 Ming Xu , Chuan-Yun Xu , Huan Wang , Yong-Kui Li , Jing-Bo Hu , Ke-Fei Cao

Understanding how training shapes the geometry of recurrent network dynamics is a central problem in time-series modeling. We study the emergence of low-dimensional dominant manifolds in the training of Reservoir Computing (RC) networks for…

Machine Learning · Computer Science 2026-04-08 Noa Kaplan , Alberto Padoan , Anastasia Bizyaeva

This paper extends the notion of information processing capacity for non-independent input signals in the context of reservoir computing (RC). The presence of input autocorrelation makes worthwhile the treatment of forecasting and filtering…

Emerging Technologies · Computer Science 2015-10-08 Lyudmila Grigoryeva , Julie Henriques , Juan-Pablo Ortega

In reservoir computing, the coupling strength of the initial untrained recurrent neural network (the reservoir) is an important hyperparameter that can be varied for accurate training. A common heuristic is to set this parameter near the…

Dynamical Systems · Mathematics 2025-12-02 Wilten Nicola

The performance of attractor neural networks has been shown to depend crucially on the heterogeneity of the underlying topology. We take this analysis a step further by examining the effect of degree-degree correlations -- or assortativity…

Disordered Systems and Neural Networks · Physics 2015-05-20 Sebastiano de Franciscis , Samuel Johnson , Joaquín J. Torres

Information does not generally behave like a conservative fluid flow in communication networks with multiple sources and sinks. However, it is often conceptually and practically useful to be able to associate separate data streams with each…

Information Theory · Computer Science 2015-03-19 Girish N. Nair

Deep learning techniques have shown promise in many domain applications. This paper proposes a novel deep reservoir computing framework, termed deep recurrent stochastic configuration network (DeepRSCN) for modelling nonlinear dynamic…

Machine Learning · Computer Science 2024-10-29 Gang Dang , Dianhui Wang

We apply statistical physics to study the task of resource allocation in random sparse networks with limited bandwidths for the transportation of resources along the links. Useful algorithms are obtained from recursive relations.…

Physics and Society · Physics 2009-11-13 C. H. Yeung , K. Y. Michael Wong

Understanding the structural complexity and predictability of complex networks is a central challenge in network science. Although recent studies have revealed a relationship between compression-based entropy and link prediction…

Social and Information Networks · Computer Science 2025-10-14 Sebastián Brzovic , Cristóbal Rojas , Andrés Abeliuk

Delay-based reservoir computing has gained a lot of attention due to the relative simplicity with which this concept can be implemented in hardware. However,there is still an misconception about the relationship between the delay-time and…

Computational Physics · Physics 2021-12-23 Tobias Hülser , Felix Köster , Lina Jaurigue , Kathy Lüdge

Complex network theory provides an elegant and powerful framework to statistically investigate different types of systems such as society, brain or the structure of local and long-range dynamical interrelationships in the climate system.…

This paper studies the design of self-adjusting networks whose topology dynamically adapts to the workload, in an online and demand-aware manner. This problem is motivated by emerging optical technologies which allow to reconfigure the…

Networking and Internet Architecture · Computer Science 2019-04-09 Chen Avin , Stefan Schmid

Reservoir computing has proven effective for tasks such as time-series prediction, particularly in the context of chaotic systems. However, conventional reservoir computing frameworks often face challenges in achieving high prediction…

Chaotic Dynamics · Physics 2025-05-28 Felix Köster , Kazutaka Kanno , Atsushi Uchida

Recently a distributed algorithm has been proposed for multi-agent networks to solve a system of linear algebraic equations, by assuming each agent only knows part of the system and is able to communicate with nearest neighbors to update…

Optimization and Control · Mathematics 2016-03-15 Hong-Tai Cao , Travis E. Gibson , Shaoshuai Mou , Yang-Yu Liu

In this work we discuss the symmetric construction of bosonic and fermionic networks and we present a case of a network showing a mixed quantum statistics. This model takes into account the different nature of nodes, described by a random…

Statistical Mechanics · Physics 2009-11-07 Ginestra Bianconi

Distributed storage systems provide large-scale reliable data storage services by spreading redundancy across a large group of storage nodes. In such a large system, node failures take place on a regular basis. When a storage node breaks…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-03-17 Yan Wang , Xunrui Yin , Dongsheng Wei , Xin Wang , Yucheng He

Reservoir computing has repeatedly been shown to be extremely successful in the prediction of nonlinear time-series. However, there is no complete understanding of the proper design of a reservoir yet. We find that the simplest popular…

Data Analysis, Statistics and Probability · Physics 2020-12-25 Joschka Herteux , Christoph Räth

Hierarchical tree structures are common in many real-world systems, from tree roots and branches to neuronal dendrites and biologically inspired artificial neural networks, as well as in technological networks for organizing and searching…

Statistical Mechanics · Physics 2025-02-04 Davide Cipollini , Lambert Schomaker
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