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Many dynamical processes of complex systems can be understood as the dynamics of a group of nodes interacting on a given network structure. However, finding such interaction structure and node dynamics from time series of node behaviours is…

物理与社会 · 物理学 2022-06-28 Yan Zhang , Yu Guo , Zhang Zhang , Mengyuan Chen , Shuo Wang , Jiang Zhang

It has been recognized that many complex dynamical systems in the real world require a description in terms of multiplex networks, where a set of common, mutually connected nodes belong to distinct network layers and play a different role…

物理与社会 · 物理学 2019-12-23 Chuang Ma , Han-Shuang Chen , Xiang Li , Ying-Cheng Lai , Hai-Feng Zhang

Reconstructing complex networks from measurable data is a fundamental problem for understanding and controlling collective dynamics of complex networked systems. However, a significant challenge arises when we attempt to decode structural…

物理与社会 · 物理学 2015-11-20 Xiao Han , Zhesi Shen , Wen-Xu Wang , Zengru Di

Reconstructing noise-driven nonlinear networks from time series of output variables is a challenging problem, which turns to be very difficult when nonlinearity of dynamics, strong noise impacts and low measurement frequencies jointly…

统计力学 · 物理学 2017-10-20 Rundong Shi , Gang Hu , Shihong Wang

Reconstructing the equation of motion and thus the network topology of a system from time series is a very important problem. Although many powerful methods have been developed, it remains a great challenge to deal with systems in high…

适应与自组织系统 · 物理学 2023-08-16 Zishuo Yan , Lili Gui , Kun Xu , Yueheng Lan

Our ability to uncover complex network structure and dynamics from data is fundamental to understanding and controlling collective dynamics in complex systems. Despite recent progress in this area, reconstructing networks with stochastic…

物理与社会 · 物理学 2014-07-18 Zhesi Shen , Wen-Xu Wang , Ying Fan , Zengru Di , Ying-Cheng Lai

Complex networks hosting binary-state dynamics arise in a variety of contexts. In spite of previous works, to fully reconstruct the network structure from observed binary data remains to be challenging. We articulate a statistical inference…

物理与社会 · 物理学 2018-03-14 Chuang Ma , Han-Shuang Chen , Ying-Cheng Lai , Hai-Feng Zhang

Reconstructing network dynamics from data is crucial for predicting the changes in the dynamics of complex systems such as neuron networks; however, previous research has shown that the reconstruction is possible under strong constraints…

动力系统 · 数学 2023-04-07 Irem Topal , Deniz Eroglu

Recovering the digital input of a time-discrete linear system from its (noisy) output is a significant challenge in the fields of data transmission, deconvolution, channel equalization, and inverse modeling. A variety of algorithms have…

最优化与控制 · 数学 2020-12-03 Sophie M. Fosson

The problem of reconstructing nonlinear and complex dynamical systems from measured data or time series is central to many scientific disciplines including physical, biological, computer, and social sciences, as well as engineering and…

数据分析、统计与概率 · 物理学 2017-05-01 Wenxu Wang , Ying-Cheng Lai , Celso Grebogi

Inferring network topology from dynamical observations is a fundamental problem pervading research on complex systems. Here, we present a simple, direct method to infer the structural connection topology of a network, given an observation…

混沌动力学 · 物理学 2015-05-19 Srinivas Gorur Shandilya , Marc Timme

We present a dynamic prediction framework for binary sequences that is based on a Bernoulli generalization of the auto-regressive process. Our approach lends itself easily to variants of the standard link prediction problem for a sequence…

机器学习 · 统计学 2020-07-24 Xiaohan Yan , Avleen S. Bijral

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…

物理与社会 · 物理学 2016-03-03 Ming Xu , Chuan-Yun Xu , Huan Wang , Yong-Kui Li , Jing-Bo Hu , Ke-Fei Cao

Based on the binary time series data of social infection dynamics, we propose a general framework to reconstruct 2-simplex complexes with two-body and three-body interactions by combining the maximum likelihood estimation in statistical…

物理与社会 · 物理学 2023-07-25 Kaiwei Liu , Xing Lv , Fei Gao , Jiang Zhang

Our ability to manipulate the behavior of complex networks depends on the design of efficient control algorithms and, critically, on the availability of an accurate and tractable model of the network dynamics. While the design of control…

系统与控制 · 电气工程与系统科学 2021-04-28 Giacomo Baggio , Danielle S. Bassett , Fabio Pasqualetti

Network reconstruction is fundamental to understanding the dynamical behaviors of the networked systems. Many systems, modeled by multiplex networks with various types of interactions, display an entirely different dynamical behavior…

物理与社会 · 物理学 2020-01-28 Mincheng Wu , Jiming Chen , Shibo He , Youxian Sun , Shlomo Havlin , Jianxi Gao

Reconstructing interactions from observational data is a critical need for investigating natural biological networks, wherein network dimensionality (i.e. number of interacting components) is usually high and interactions are time-varying.…

种群与进化 · 定量生物学 2021-02-09 Chun-Wei Chang , Takeshi Miki , Masayuki Ushio , Hsiao-Pei Lu , Fuh-Kwo Shiah , Chih-hao Hsieh

Data assisted reconstruction algorithms, incorporating trained neural networks, are a novel paradigm for solving inverse problems. One approach is to first apply a classical reconstruction method and then apply a neural network to improve…

数值分析 · 数学 2020-03-26 Yoeri E. Boink , Markus Haltmeier , Sean Holman , Johannes Schwab

This paper studies the estimation of network weights for a class of systems with binary-valued observations. In these systems only quantized observations are available for the network estimation. Furthermore, system states are coupled with…

系统与控制 · 计算机科学 2019-03-19 Yu Xing , Xingkang He , Haitao Fang , Karl Henrik Johansson

A large variety of dynamical systems, such as chemical and biomolecular systems, can be seen as networks of nonlinear entities. Prediction, control, and identification of such nonlinear networks require knowledge of the state of the system.…

最优化与控制 · 数学 2018-06-27 Aleksandar Haber , Ferenc Molnar , Adilson E. Motter
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