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Sparse recovery can recover sparse signals from a set of underdetermined linear measurements. Motivated by the need to monitor large-scale networks from a limited number of measurements, this paper addresses the problem of recovering sparse…

信息论 · 计算机科学 2015-03-20 Meng Wang , Weiyu Xu , Enrique Mallada , Ao Tang

Dynamic networks, also called network streams, are an important data representation that applies to many real-world domains. Many sets of network data such as e-mail networks, social networks, or internet traffic networks are best…

社会与信息网络 · 计算机科学 2014-11-17 Timothy La Fond , Jennifer Neville , Brian Gallagher

Many real-world complex systems, such as epidemic spreading networks and ecosystems, can be modeled as networked dynamical systems that produce multivariate time series. Learning the intrinsic dynamics from observational data is pivotal for…

机器学习 · 计算机科学 2024-12-30 Yanna Ding , Zijie Huang , Malik Magdon-Ismail , Jianxi Gao

Learning on evolving(dynamic) graphs has caught the attention of researchers as static methods exhibit limited performance in this setting. The existing methods for dynamic graphs learn spatial features by local neighborhood aggregation,…

机器学习 · 计算机科学 2022-11-23 Anson Bastos , Abhishek Nadgeri , Kuldeep Singh , Toyotaro Suzumura , Manish Singh

In this article, the optimal sample complexity of learning the underlying interactions or dependencies of a Linear Dynamical System (LDS) over a Directed Acyclic Graph (DAG) is studied. We call such a DAG underlying an LDS as dynamical DAG…

机器学习 · 统计学 2024-04-02 Mishfad Shaikh Veedu , Deepjyoti Deka , Murti V. Salapaka

Signal processing on graph is attracting more and more attentions. For a graph signal in the low-frequency subspace, the missing data associated with unsampled vertices can be reconstructed through the sampled data by exploiting the…

信息论 · 计算机科学 2015-06-23 Xiaohan Wang , Pengfei Liu , Yuantao Gu

In many applications, from sensor to social networks, gene regulatory networks or big data, observations can be represented as a signal defined over the vertices of a graph. Building on the recently introduced Graph Fourier Transform, the…

信息论 · 计算机科学 2015-12-03 Mikhail Tsitsvero , Sergio Barbarossa , Paolo Di Lorenzo

Although there is a rapidly growing literature on dynamic connectivity methods, the primary focus has been on separate network estimation for each individual, which fails to leverage common patterns of information. We propose novel…

统计方法学 · 统计学 2021-01-15 Suprateek Kundu , Jin Ming , Joe Nocera , Keith M. McGregor

A recurrent idea in the study of complex systems is that optimal information processing is to be found near bifurcation points or phase transitions. However, this heuristic hypothesis has few (if any) concrete realizations where a standard…

神经元与认知 · 定量生物学 2007-05-23 Osame Kinouchi , Mauro Copelli

This paper studies graph-based active learning, where the goal is to reconstruct a binary signal defined on the nodes of a weighted graph, by sampling it on a small subset of the nodes. A new sampling algorithm is proposed, which…

机器学习 · 计算机科学 2016-05-19 Eyal En Gad , Akshay Gadde , A. Salman Avestimehr , Antonio Ortega

Sampling random graphs with given properties is a key step in the analysis of networks, as random ensembles represent basic null models required to identify patterns such as communities and motifs. An important requirement is that the…

统计方法学 · 统计学 2015-02-23 Tiziano Squartini , Rossana Mastrandrea , Diego Garlaschelli

Choosing an appropriate frequency definition and norm is critical in graph signal sampling and reconstruction. Most previous works define frequencies based on the spectral properties of the graph and use the same frequency definition and…

信号处理 · 电气工程与系统科学 2024-09-17 Darukeesan Pakiyarajah , Eduardo Pavez , Antonio Ortega

Real-world graphs, such as social networks, financial transactions, and recommendation systems, often demonstrate dynamic behavior. This phenomenon, known as graph stream, involves the dynamic changes of nodes and the emergence and…

机器学习 · 计算机科学 2023-05-16 Yanping Zheng , Zhewei Wei , Jiajun Liu

This paper deals with identifiability of undirected dynamical networks with single-integrator node dynamics. We assume that the graph structure of such networks is known, and aim to find graph-theoretic conditions under which the state…

最优化与控制 · 数学 2018-07-24 Henk J. van Waarde , Pietro Tesi , M. Kanat Camlibel

With the growing amount of available temporal real-world network data, an important question is how to efficiently study these data. One can simply model a temporal network as either a single aggregate static network, or as a series of…

社会与信息网络 · 计算机科学 2014-12-15 Yuriy Hulovatyy , Huili Chen , Tijana Milenkovic

Learning properties of large graphs from samples has been an important problem in statistical network analysis since the early work of Goodman \cite{Goodman1949} and Frank \cite{Frank1978}. We revisit a problem formulated by Frank…

统计理论 · 数学 2019-06-18 Jason M. Klusowski , Yihong Wu

This paper proposes a dynamic sensor scheduling method for sensor networks. In sensor network applications, we often need multiple equally-informative node subsets that are activated sequentially to make a sensor network robust against…

信号处理 · 电气工程与系统科学 2026-02-24 Ryouke Ikura , Junya Hara , Hiroshi Higashi , Yuichi Tanaka

Continuous-time signals are well known for not being perfectly localized in both time and frequency domains. Conversely, a signal defined over the vertices of a graph can be perfectly localized in both vertex and frequency domains. We…

信息论 · 计算机科学 2015-12-03 Mikhail Tsitsvero , Sergio Barbarossa

We develop a new sampling method to estimate eigenvector centrality on incomplete networks. Our goal is to estimate this global centrality measure having at disposal a limited amount of data. This is the case in many real-world scenarios…

社会与信息网络 · 计算机科学 2020-10-29 Nicolò Ruggeri , Caterina De Bacco

Dynamical networks are powerful tools for modeling a broad range of complex systems, including financial markets, brains, and ecosystems. They encode how the basic elements (nodes) of these systems interact altogether (via links) and evolve…

物理与社会 · 物理学 2019-03-13 Edward Laurence , Nicolas Doyon , Louis J Dubé , Patrick Desrosiers