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Unravelling the block structure of a network is critical for studying macroscopic features and community-level dynamics. The weighted stochastic block model (WSBM), a variation of the traditional stochastic block model, is designed for…

动力系统 · 数学 2021-08-04 Wooseok Jung

The prevalent fully-connected tensor network (FCTN) has achieved excellent success to compress data. However, the FCTN decomposition suffers from slow computational speed when facing higher-order and large-scale data. Naturally, there…

机器学习 · 计算机科学 2022-10-20 Peilin Yang , Weijun Sun , Qibin Zhao , Guoxu Zhou

Network inference has been extensively studied in several fields, such as systems biology and social sciences. Learning network topology and internal dynamics is essential to understand mechanisms of complex systems. In particular, sparse…

机器学习 · 统计学 2022-06-13 Yasen Wang , Junyang Jin , Jorge Goncalves

This paper introduces a new methodology to analyse bipartite and unipartite networks with nonnegative edge values. The proposed approach combines and adapts a number of ideas from the literature on latent variable network models. The…

统计方法学 · 统计学 2018-08-29 Riccardo Rastelli

Dynamic mode decomposition (DMD) is a popular data-driven framework to extract linear dynamics from complex high-dimensional systems. In this work, we study the system identification properties of DMD. We first show that DMD is invariant…

数值分析 · 数学 2021-09-15 Jan Heiland , Benjamin Unger

Networks are universally considered as complex structures of interactions of large multi-component systems. In order to determine the role that each node has inside a complex network, several centrality measures have been developed. Such…

物理与社会 · 物理学 2019-08-20 Malbor Asllani , Bruno Requiao da Cunha , Ernesto Estrada , James P. Gleeson

Anomaly detection in spatiotemporal data is a challenging problem encountered in a variety of applications including hyperspectral imaging, video surveillance, and urban traffic monitoring. Existing anomaly detection methods are most suited…

机器学习 · 计算机科学 2020-10-27 Seyyid Emre Sofuoglu , Selin Aviyente

In recent years, many large directed networks such as online social networks are collected with the help of powerful data engineering and data storage techniques. Analyses of such networks attract significant attention from both the…

社会与信息网络 · 计算机科学 2025-08-01 Yunxiang Yan , Meng Jiang

The growing integration of renewable energy sources has significantly reduced grid inertia, making modern power systems more vulnerable to instabilities. Accurate estimation of dynamic parameters such as inertia constants and damping…

动力系统 · 数学 2025-12-08 Aiman Mushtaq Purra , Danish Rafiq

Research in modern data-driven dynamical systems is typically focused on the three key challenges of high dimensionality, unknown dynamics, and nonlinearity. The dynamic mode decomposition (DMD) has emerged as a cornerstone for modeling…

流体动力学 · 物理学 2022-04-27 Peter J. Baddoo , Benjamin Herrmann , Beverley J. McKeon , Steven L. Brunton

Dynamic Mode Decomposition (DMD) is a data-driven technique to identify a low dimensional linear time invariant dynamics underlying high-dimensional data. For systems in which such underlying low-dimensional dynamics is time-varying, a…

信号处理 · 电气工程与系统科学 2020-04-09 Mustaffa Alfatlawi , Vaibhav Srivastava

In the paper we consider the linear underdetermined system of a special type. Systems of this type appear in non-homogeneous network flow programming problems in the form of systems of constraints and can be characterized as systems with a…

最优化与控制 · 数学 2008-07-04 Ludmila Pilipchuk , Eugene Vecharynski

Many real-world networks are directed, sparse and hierarchical, with a mixture of feed-forward and feedback connections with respect to the hierarchy. Moreover, a small number of 'master' nodes are often able to drive the whole system. We…

无序系统与神经网络 · 物理学 2022-06-22 Niall Rodgers , Peter Tino , Samuel Johnson

Hidden Markov models (HMMs) and partially observable Markov decision processes (POMDPs) provide useful tools for modeling dynamical systems. They are particularly useful for representing the topology of environments such as road networks…

人工智能 · 计算机科学 2011-06-06 L. P. Kaelbling , H. Shatkay

In this work, we explore the state-space formulation of network processes to recover the underlying structure of the network (local connections). To do so, we employ subspace techniques borrowed from system identification literature and…

信号处理 · 电气工程与系统科学 2019-11-27 Mario Coutino , Elvin Isufi , Takanori Maehara , Geert Leus

Dynamic networks are structured interconnections of dynamical systems (modules) driven by external excitation and disturbance signals. In order to identify their dynamical properties and/or their topology consistently from measured data, we…

系统与控制 · 计算机科学 2018-04-12 Harm H. M. Weerts , Paul M. J. Van den Hof , Arne G. Dankers

The topological information is essential for studying the relationship between nodes in a network. Recently, Network Representation Learning (NRL), which projects a network into a low-dimensional vector space, has been shown their…

社会与信息网络 · 计算机科学 2019-02-19 Guoji Fu , Chengbin Hou , Xin Yao

We address the issue of estimating the topology and dynamics of sparse linear dynamic networks in a hyperparameter-free setting. We propose a method to estimate the network dynamics in a computationally efficient and parameter tuning-free…

机器学习 · 统计学 2019-11-27 Arun Venkitaraman , Håkan Hjalmarsson , Bo Wahlberg

We introduce a new class of latent process models for dynamic relational network data with the goal of detecting time-dependent structure. Network data are often observed over time, and static network models for such data may fail to…

统计方法学 · 统计学 2013-11-15 Lucy F. Robinson , Carey E. Priebe

Learning topological representation of a network in dynamic environments has recently attracted considerable attention due to the time-evolving nature of many real-world networks i.e. nodes/links might be added/removed as time goes on.…

社会与信息网络 · 计算机科学 2019-07-30 Chengbin Hou , Han Zhang , Ke Tang , Shan He