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To learn the multi-class conceptions from the electroencephalogram (EEG) data we developed a neural network decision tree (DT), that performs the linear tests, and a new training algorithm. We found that the known methods fail inducting the…

Neural and Evolutionary Computing · Computer Science 2007-05-23 Vitaly Schetinin

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…

Machine Learning · Computer Science 2023-05-16 Yanping Zheng , Zhewei Wei , Jiajun Liu

This work aims to learn the directed acyclic graph (DAG) that captures the instantaneous dependencies underlying a multivariate time series. The observed data follow a linear structural vector autoregressive model (SVARM) with both…

Signal Processing · Electrical Eng. & Systems 2025-12-09 Samuel Rey , Gonzalo Mateos

We introduce graphical time series models for the analysis of dynamic relationships among variables in multivariate time series. The modelling approach is based on the notion of strong Granger causality and can be applied to time series…

Statistics Theory · Mathematics 2011-07-18 Michael Eichler

We introduce Multivariate Multiscale Graph-based Dispersion Entropy (mvDEG), a novel, computationally efficient method for analyzing multivariate time series data in graph and complex network frameworks, and demonstrate its application in…

Combinatorics · Mathematics 2024-05-02 John Stewart Fabila-Carrasco , Chao Tan , Javier Escudero

Temporal graph neural networks have shown promising results in learning inductive representations by automatically extracting temporal patterns. However, previous works often rely on complex memory modules or inefficient random walk methods…

Machine Learning · Computer Science 2024-01-10 Mohammad Ali Alomrani , Mahdi Biparva , Yingxue Zhang , Mark Coates

One of the main challenges in the study of time-varying networks is the interplay of memory effects with structural heterogeneity. In particular, different nodes and dyads can have very different statistical properties in terms of both link…

Physics and Society · Physics 2026-04-20 Giulio Virginio Clemente , Claudio J. Tessone , Diego Garlaschelli

The class of chain event graph models is a generalisation of the class of discrete Bayesian networks, retaining most of the structural advantages of the Bayesian network for model interrogation, propagation and learning, while more…

Methodology · Statistics 2009-04-07 Guy Freeman , Jim Q. Smith

P-time event graphs (P-TEGs) are specific timed discrete-event systems, in which the timing of events is constrained by intervals. An important problem is to check, for all natural numbers $d$, the existence of consistent $d$-periodic…

Data Structures and Algorithms · Computer Science 2026-02-10 Davide Zorzenon , Jan Komenda , Joerg Raisch

Directed Acyclic Graphical (DAG) models efficiently formulate causal relationships in complex systems. Traditional DAGs assume nodes to be scalar variables, characterizing complex systems under a facile and oversimplified form. This paper…

Methodology · Statistics 2024-04-23 Tian Lan , Ziyue Li , Junpeng Lin , Zhishuai Li , Lei Bai , Man Li , Fugee Tsung , Rui Zhao , Chen Zhang

The high temporal resolution and the asymmetric spatial activations are essential attributes of electroencephalogram (EEG) underlying emotional processes in the brain. To learn the temporal dynamics and spatial asymmetry of EEG towards…

Machine Learning · Computer Science 2022-04-26 Yi Ding , Neethu Robinson , Su Zhang , Qiuhao Zeng , Cuntai Guan

Predictive Process Monitoring focuses on predicting future states of ongoing process executions, such as forecasting the remaining time. Recent developments in Object-Centric Process Mining have enriched event data with objects and their…

Machine Learning · Computer Science 2024-04-17 Tim K. Smit , Hajo A. Reijers , Xixi Lu

Directed acyclic graph (DAG) models, also called Bayesian networks, impose conditional independence constraints on a multivariate probability distribution, and are widely used in probabilistic reasoning, machine learning and causal…

Statistics Theory · Mathematics 2022-12-20 Robin J. Evans

We propose a method to identify nonlinear acyclic networks in continuous time when the dynamics are located on the edges and all the nodes are excited. We show that it is necessary and sufficient to measure all the sinks to identify any…

Optimization and Control · Mathematics 2026-03-05 Ramachandran Anantharaman , Renato Vizuete , Julien M. Hendrickx , Alexandre Mauroy

Networks are a fundamental and flexible way of representing various complex systems. Many domains such as communication, citation, procurement, biology, social media, and transportation can be modeled as a set of entities and their…

Social and Information Networks · Computer Science 2020-08-07 Sumit Purohit , Lawrence B. Holder , George Chin

Recent years have witnessed the emerging success of graph neural networks (GNNs) for modeling structured data. However, most GNNs are designed for homogeneous graphs, in which all nodes and edges belong to the same types, making them…

Machine Learning · Computer Science 2020-03-04 Ziniu Hu , Yuxiao Dong , Kuansan Wang , Yizhou Sun

We consider the problem of learning the underlying causal structure among a set of variables, which are assumed to follow a Bayesian network or, more specifically, a linear recursive structural equation model (SEM) with the associated…

Statistics Theory · Mathematics 2025-08-05 Anamitra Chaudhuri , Anirban Bhattacharya , Yang Ni

Temporal graphs represent the dynamic relationships among entities and occur in many real life application like social networks, e commerce, communication, road networks, biological systems, and many more. They necessitate research beyond…

Machine Learning · Computer Science 2022-08-26 Shubham Gupta , Srikanta Bedathur

The escalating complexity of network threats and the inherent class imbalance in traffic data present formidable challenges for modern Intrusion Detection Systems (IDS). While Graph Neural Networks (GNNs) excel in modeling topological…

Machine Learning · Computer Science 2026-04-15 Tianxiang Xu , Zhichao Wen , Xinyu Zhao , Qi Hu , Yan Li , Chang Liu

Estimating the structure of directed acyclic graphs (DAGs) from observational data remains a significant challenge in machine learning. Most research in this area concentrates on learning a single DAG for the entire population. This paper…

Machine Learning · Statistics 2024-02-21 Ryan Thompson , Edwin V. Bonilla , Robert Kohn