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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…

Machine Learning · Computer Science 2024-12-30 Yanna Ding , Zijie Huang , Malik Magdon-Ismail , Jianxi Gao

Temporal Graph Neural Networks, a new and trending area of machine learning, suffers from a lack of formal analysis. In this paper, information theory is used as the primary tool to provide a framework for the analysis of temporal GNNs. For…

Information Theory · Computer Science 2024-08-13 Amirmohammad Farzaneh

Many scientific systems, such as cellular populations or economic cohorts, are naturally described by probability distributions that evolve over time. Predicting how such a system would have evolved under different forces or initial…

Machine Learning · Statistics 2026-03-26 Tristan Luca Saidi , Gonzalo Mena , Larry Wasserman , Florian Gunsilius

The price movement prediction of stock market has been a classical yet challenging problem, with the attention of both economists and computer scientists. In recent years, graph neural network has significantly improved the prediction…

Statistical Finance · Quantitative Finance 2023-05-16 Sheng Xiang , Dawei Cheng , Chencheng Shang , Ying Zhang , Yuqi Liang

Given a time-evolving network, how can we detect communities over periods of high internal and low external interactions? To address this question we generalize traditional local community detection in graphs to the setting of dynamic…

Social and Information Networks · Computer Science 2017-09-14 Daniel J. DiTursi , Gaurav Ghosh , Petko Bogdanov

Modularity is a very widely used measure of the level of clustering or community structure in networks. Here we consider a recent generalisation of the definition of modularity to temporal graphs, whose edge-sets change over discrete…

Combinatorics · Mathematics 2025-07-24 Vilhelm Agdur , Jessica Enright , Laura Larios-Jones , Kitty Meeks , Fiona Skerman , Ella Yates

GNNs have been proven to perform highly effective in various node-level, edge-level, and graph-level prediction tasks in several domains. Existing approaches mainly focus on static graphs. However, many graphs change over time with their…

Machine Learning · Computer Science 2022-06-22 Bahareh Najafi , Saeedeh Parsaeefard , Alberto Leon-Garcia

The ever increasing adoption of mobile technologies and ubiquitous services allows to sense human behavior at unprecedented levels of details and scale. Wearable sensors are opening up a new window on human mobility and proximity at the…

Physics and Society · Physics 2015-06-15 Alain Barrat , Ciro Cattuto

Graph Neural Networks (GNNs) have achieved great success on a node classification task. Despite the broad interest in developing and evaluating GNNs, they have been assessed with limited benchmark datasets. As a result, the existing…

Machine Learning · Computer Science 2022-12-29 Seiji Maekawa , Koki Noda , Yuya Sasaki , Makoto Onizuka

Link prediction attempts to predict whether an unseen edge exists based on only a portion of edges of a graph. A flurry of methods have been introduced in recent years that attempt to make use of graph neural networks (GNNs) for this task.…

Machine Learning · Computer Science 2023-11-21 Juanhui Li , Harry Shomer , Haitao Mao , Shenglai Zeng , Yao Ma , Neil Shah , Jiliang Tang , Dawei Yin

A powerful framework for studying graphs is to consider them as geometric graphs: nodes are randomly sampled from an underlying metric space, and any pair of nodes is connected if their distance is less than a specified neighborhood radius.…

Machine Learning · Computer Science 2022-11-28 Raffaele Paolino , Aleksandar Bojchevski , Stephan Günnemann , Gitta Kutyniok , Ron Levie

Predicting the Stock movement attracts much attention from both industry and academia. Despite such significant efforts, the results remain unsatisfactory due to the inherently complicated nature of the stock market driven by factors…

Statistical Finance · Quantitative Finance 2023-03-01 Jingyi Gu , Fadi P. Deek , Guiling Wang

Embedding static graphs in low-dimensional vector spaces plays a key role in network analytics and inference, supporting applications like node classification, link prediction, and graph visualization. However, many real-world networks…

Machine Learning · Computer Science 2021-07-23 Claudio D. T. Barros , Matheus R. F. Mendonça , Alex B. Vieira , Artur Ziviani

Real-world networks, with their evolving relations, are best captured as temporal graphs. However, existing software libraries are largely designed for static graphs where the dynamic nature of temporal graphs is ignored. Bridging this gap,…

Social and Information Networks · Computer Science 2024-02-07 Razieh Shirzadkhani , Shenyang Huang , Elahe Kooshafar , Reihaneh Rabbany , Farimah Poursafaei

We propose algorithms for sampling from posterior path measures $P(C([0, T], \mathbb{R}^d))$ under a general prior process. This leverages ideas from (1) controlled equilibrium dynamics, which gradually transport between two path measures,…

Machine Learning · Statistics 2025-06-03 Qijia Jiang , Reuben Cohn-Gordon

We propose a unified framework for adaptive connection sampling in graph neural networks (GNNs) that generalizes existing stochastic regularization methods for training GNNs. The proposed framework not only alleviates over-smoothing and…

The dynamics of temporal networks lie in the continuous interactions between nodes, which exhibit the dynamic node preferences with time elapsing. The challenges of mining temporal networks are thus two-fold: the dynamic structure of…

Information Retrieval · Computer Science 2021-11-24 Tongya Zheng , Zunlei Feng , Yu Wang , Chengchao Shen , Mingli Song , Xingen Wang , Xinyu Wang , Chun Chen , Hao Xu

Many real-world systems can be expressed in temporal networks with nodes playing far different roles in structure and function and edges representing the relationships between nodes. Identifying critical nodes can help us control the spread…

Social and Information Networks · Computer Science 2021-07-07 En-Yu Yu , Yan Fu , Jun-Lin Zhou , Hong-Liang Sun , Duan-Bing Chen

Link prediction is a fundamental task for graph analysis with important applications on the Web, such as social network analysis and recommendation systems, etc. Modern graph link prediction methods often employ a contrastive approach to…

Machine Learning · Computer Science 2024-03-27 Trung-Kien Nguyen , Yuan Fang

Foundation models have shown great promise in various fields of study. A potential application of such models is in computer network traffic analysis, where these models can grasp the complexities of network traffic dynamics and adapt to…

Machine Learning · Computer Science 2024-09-13 Louis Van Langendonck , Ismael Castell-Uroz , Pere Barlet-Ros