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When dealing with time series data, causal inference methods often employ structural vector autoregressive (SVAR) processes to model time-evolving random systems. In this work, we rephrase recursive SVAR processes with possible latent…

Statistics Theory · Mathematics 2024-08-19 Nicolas-Domenic Reiter , Andreas Gerhardus , Jonas Wahl , Jakob Runge

Estimating the unknown causal dependencies among graph-connected time series plays an important role in many applications, such as sensor network analysis, signal processing over cyber-physical systems, and finance engineering. Inference of…

Signal Processing · Electrical Eng. & Systems 2021-04-02 Rohan Money , Joshin Krishnan , Baltasar Beferull-Lozano

This study proposes an unsupervised anomaly detection method for distributed backend service systems, addressing practical challenges such as complex structural dependencies, diverse behavioral evolution, and the absence of labeled data.…

Machine Learning · Computer Science 2025-08-14 Yun Zi , Ming Gong , Zhihao Xue , Yujun Zou , Nia Qi , Yingnan Deng

Measuring similarity between complex objects is a fundamental task in many scientific fields. When objects are represented as graphs, graph similarity/distance measures offer a powerful framework for quantifying structural resemblance.…

Combinatorics · Mathematics 2025-09-30 Matthias Dehmer , Izudin Redžepović , Niko Tratnik , Petra Žigert Pleteršek

Graph signal processing (GSP) is a key tool for satisfying the growing demand for information processing over networks. However, the success of GSP in downstream learning and inference tasks is heavily dependent on the prior identification…

Signal Processing · Electrical Eng. & Systems 2021-03-29 Seyed Saman Saboksayr , Gonzalo Mateos , Mujdat Cetin

Inferring the connectivity structure of networked systems from data is an extremely important task in many areas of science. Most of real-world networks exhibit sparsely connected topologies, with links between nodes that in some cases may…

Physics and Society · Physics 2022-06-02 Lei Shi , Chen Shen , Libin Jin , Qi Shi , Zhen Wang , Marko Jusup , Stefano Boccaletti

The focus is on the statistical analysis of matrix-valued time series, where data is collected over a network of sensors, typically at spatial locations, over time. Each sensor records a vector of features at each time point, creating a…

Machine Learning · Statistics 2026-05-05 Yiye Jiang , Jérémie Bigot , Sofian Maabout

Seeking effective neural networks is a critical and practical field in deep learning. Besides designing the depth, type of convolution, normalization, and nonlinearities, the topological connectivity of neural networks is also important.…

Computer Vision and Pattern Recognition · Computer Science 2020-08-20 Kun Yuan , Quanquan Li , Jing Shao , Junjie Yan

Networks - collections of interacting elements or nodes - abound in the natural and manmade worlds. For many networks, complex spatiotemporal dynamics stem from patterns of physical interactions unknown to us. To infer these interactions,…

Quantitative Methods · Quantitative Biology 2015-05-13 Mark A. Kramer , Uri T. Eden , Sydney S. Cash , Eric D. Kolaczyk

The development of graph neural networks (GCN) makes it possible to learn structural features from evolving complex networks. Even though a wide range of realistic networks are directed ones, few existing works investigated the properties…

Social and Information Networks · Computer Science 2020-08-25 Jinsong Li , Jianhua Peng , Shuxin Liu , Lintianran Weng , Cong Li

Over the past few years, research on deep graph learning has shifted from static graphs to temporal graphs in response to real-world complex systems that exhibit dynamic behaviors. In practice, temporal graphs are formalized as an ordered…

Machine Learning · Computer Science 2024-10-30 Jintang Li , Ruofan Wu , Xinzhou Jin , Boqun Ma , Liang Chen , Zibin Zheng

This paper proposes a structure-aware driven scheduling graph modeling method to improve the accuracy and representation capability of anomaly identification in scheduling behaviors of complex systems. The method first designs a…

Machine Learning · Computer Science 2025-12-23 Ning Lyu , Junjie Jiang , Lu Chang , Chihui Shao , Feng Chen , Chong Zhang

Graph signal processing represents an important advancement in the field of data analysis, extending conventional signal processing methodologies to complex networks and thereby facilitating the exploration of informative patterns and…

Signal Processing · Electrical Eng. & Systems 2024-06-07 Keivan Faghih Niresi , Lucas Kuhn , Gaëtan Frusque , Olga Fink

We propose a constraint-based algorithm, which automatically determines causal relevance thresholds, to infer causal networks from data. We call these topological thresholds. We present two methods for determining the threshold: the first…

Machine Learning · Statistics 2024-04-24 Filipe Barroso , Diogo Gomes , Gareth J. Baxter

Revealing the structural features of a complex system from the observed collective dynamics is a fundamental problem in network science. In order to compute the various topological descriptors commonly used to characterize the structure of…

Data Analysis, Statistics and Probability · Physics 2021-02-16 Sebastian Raimondo , Manlio De Domenico

A collaborative network is a social network that is comprised of experts who cooperate with each other to fulfill a special goal. Analyzing this network yields meaningful information about the expertise of these experts and their subject…

Social and Information Networks · Computer Science 2021-04-14 N. Nikzad-Khasmakhi , M. A. Balafar , M. Reza Feizi-Derakhshi , Cina Motamed

Increased attention has been paid over the last four years to dynamic network embedding. Existing dynamic embedding methods, however, consider the problem as limited to the evolution of a topology over a sequence of global, discrete states.…

Machine Learning · Computer Science 2021-11-23 David Bayani

State-space models (SSM) are central to describe time-varying complex systems in countless signal processing applications such as remote sensing, networks, biomedicine, and finance to name a few. Inference and prediction in SSMs are…

Computation · Statistics 2022-10-26 Víctor Elvira , Émilie Chouzenoux

We address the problem of inferring the topology of a wireless network using limited observational data. Specifically, we assume that we can detect when a node is transmitting, but no further information regarding the transmission is…

Networking and Internet Architecture · Computer Science 2025-07-03 James Martin , Tristan Pryer , Luca Zanetti

We consider fair network topology inference from nodal observations. Real-world networks often exhibit biased connections based on sensitive nodal attributes. Hence, different subpopulations of nodes may not share or receive information…

Signal Processing · Electrical Eng. & Systems 2024-03-26 Madeline Navarro , Samuel Rey , Andrei Buciulea , Antonio G. Marques , Santiago Segarra
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