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The reconstruction of phase spaces is an essential step to analyze time series according to Dynamical System concepts. A regression performed on such spaces unveils the relationships among system states from which we can derive their…

Machine Learning · Computer Science 2020-06-23 Lucas Pagliosa , Alexandru Telea , Rodrigo Mello

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

Typical graph embeddings may not capture type-specific bipartite graph features that arise in such areas as recommender systems, data visualization, and drug discovery. Machine learning methods utilized in these applications would be better…

Machine Learning · Computer Science 2020-07-24 Justin Sybrandt , Ilya Safro

Network embedding methods aim at learning low-dimensional latent representation of nodes in a network. While achieving competitive performance on a variety of network inference tasks such as node classification and link prediction, these…

Social and Information Networks · Computer Science 2018-09-17 Haochen Chen , Xiaofei Sun , Yingtao Tian , Bryan Perozzi , Muhao Chen , Steven Skiena

Attributed network embedding (ANE) is to learn low-dimensional vectors so that not only the network structure but also node attributes can be preserved in the embedding space. Existing ANE models do not consider the specific combination…

Social and Information Networks · Computer Science 2021-06-18 I-Chung Hsieh , Cheng-Te Li

Cascading chains of events are a salient feature of many real-world social, biological, and financial networks. In social networks, social reciprocity accounts for retaliations in gang interactions, proxy wars in nation-state conflicts, or…

Machine Learning · Statistics 2016-07-05 Eric C. Hall , Rebecca M. Willett

Reasoning about graphs evolving over time is a challenging concept in many domains, such as bioinformatics, physics, and social networks. We consider a common case in which edges can be short term interactions (e.g., messaging) or long term…

Machine Learning · Statistics 2020-06-22 Boris Knyazev , Carolyn Augusta , Graham W. Taylor

Identifying key influencers from time series data without a known prior network structure is a challenging problem in various applications, from crime analysis to social media. While much work has focused on event-based time series…

Dynamical Systems · Mathematics 2025-04-30 Naratip Santitissadeekorn , Martin Short , David J. B. Lloyd

We propose an Embedding Network Autoregressive Model for multivariate networked longitudinal data. We assume the network is generated from a latent variable model, and these unobserved variables are included in a structural peer effect…

Methodology · Statistics 2025-03-25 Jae Ho Chang , Subhadeep Paul

A great variety of complex systems ranging from user interactions in communication networks to transactions in financial markets can be modeled as temporal graphs, which consist of a set of vertices and a series of timestamped and directed…

Social and Information Networks · Computer Science 2020-07-29 Jingjing Wang , Yanhao Wang , Wenjun Jiang , Yuchen Li , Kian-Lee Tan

We propose a Multivariate Spatio-Temporal Neural Hawkes Process for modeling complex multivariate event data with spatio-temporal dynamics. The proposed model extends continuous-time neural Hawkes processes by integrating spatial…

Machine Learning · Statistics 2026-03-03 Christopher Chukwuemeka , Hojun You , Mikyoung Jun

Recent advancements in graph neural networks (GNNs) and heterogeneous GNNs (HGNNs) have advanced node embeddings and relationship learning for various tasks. However, existing methods often rely on domain-specific predefined meta-paths,…

Machine Learning · Computer Science 2025-08-28 Jongwoo Kim , Seongyeub Chu , Hyeongmin Park , Bryan Wong , Keejun Han , Mun Yong Yi

Since real-world objects and their interactions are often multi-modal and multi-typed, heterogeneous networks have been widely used as a more powerful, realistic, and generic superclass of traditional homogeneous networks (graphs).…

Social and Information Networks · Computer Science 2020-12-18 Carl Yang , Yuxin Xiao , Yu Zhang , Yizhou Sun , Jiawei Han

The integration and transmission of information in the brain are dependent on the interplay between structural and dynamical properties. Implicit in any pursuit aimed at understanding neural dynamics from appropriate sets of mathematically…

Neurons and Cognition · Quantitative Biology 2020-06-30 Joshua M. Roldan , Sebastian Pardo G. , Vivek Kurien George , Gabriel A. Silva

Graph Nerual Networks (GNNs) are effective models in graph embedding. It extracts shallow features and neighborhood information by aggregating neighbor information to learn the embedding representation of different nodes. However, the local…

Social and Information Networks · Computer Science 2023-12-14 Kejia Zhang

Dynamical processes on time-varying complex networks are key to understanding and modeling a broad variety of processes in socio-technical systems. Here we focus on empirical temporal networks of human proximity and we aim at understanding…

Physics and Society · Physics 2013-11-01 Laetitia Gauvin , André Panisson , Ciro Cattuto , Alain Barrat

Convolutional neural networks are able to perform a hierarchical learning process starting with local features. However, a limited attention is paid to enhancing such elementary level features like edges. We propose and evaluate two…

Computer Vision and Pattern Recognition · Computer Science 2019-02-05 D. D. N. De Silva , S. Fernando , I. T. S. Piyatilake , A. V. S. Karunarathne

Transformer-based methods have achieved impressive results in time series forecasting. However, existing Transformers still exhibit limitations in sequence modeling as they tend to overemphasize temporal dependencies. This incurs additional…

Machine Learning · Computer Science 2025-12-16 Tan Wang , Yun Wei Dong , Qi Wang

Temporal networks model a variety of important phenomena involving timed interactions between entities. Existing methods for machine learning on temporal networks generally exhibit at least one of two limitations. First, time is assumed to…

Machine Learning · Computer Science 2022-10-04 Sudhanshu Chanpuriya , Ryan A. Rossi , Sungchul Kim , Tong Yu , Jane Hoffswell , Nedim Lipka , Shunan Guo , Cameron Musco

Inferring time-varying networks is important to understand the development and evolution of interactions over time. However, the vast majority of currently used models assume direct measurements of node states, which are often difficult to…

Applications · Statistics 2014-05-06 Xin Wang , Ke Yuan , Christoph Hellmayr , Wei Liu , Florian Markowetz
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