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Temporal networks, defined as sequences of time-aggregated adjacency matrices, sample latent graph dynamics and trace trajectories in graph space. By interpreting each adjacency matrix as a different time snapshot of a scalar field,…

Data Analysis, Statistics and Probability · Physics 2026-02-27 Lucas Lacasa

Graphs are ubiquitous due to their flexibility in representing social and technological systems as networks of interacting elements. Graph representation learning methods, such as node embeddings, are powerful approaches to map nodes into a…

Machine Learning · Computer Science 2023-10-03 Simone Piaggesi , Megha Khosla , André Panisson , Avishek Anand

There is increasing evidence to suggest functional connectivity networks are non-stationary. This has lead to the development of novel methodologies with which to accurately estimate time-varying functional connectivity networks. Many of…

Most real-world networks are embedded in latent geometries. If a node in a network is found in the vicinity of another node in the latent geometry, the two nodes have a disproportionately high probability of being connected by a link. The…

Physics and Society · Physics 2024-06-19 Bukyoung Jhun

Network embedding is an influential graph mining technique for representing nodes in a graph as distributed vectors. However, the majority of network embedding methods focus on learning a single vector representation for each node, which…

Machine Learning · Computer Science 2020-07-08 Chanyoung Park , Carl Yang , Qi Zhu , Donghyun Kim , Hwanjo Yu , Jiawei Han

The celebrated Takens' embedding theorem provides a theoretical foundation for reconstructing the full state of a dynamical system from partial observations. However, the classical theorem assumes that the underlying system is deterministic…

Dynamical Systems · Mathematics 2025-11-07 Jonah Botvinick-Greenhouse , Maria Oprea , Romit Maulik , Yunan Yang

Constituting highly informative network embeddings is an important tool for network analysis. It encodes network topology, along with other useful side information, into low-dimensional node-based feature representations that can be…

Computation and Language · Computer Science 2019-06-06 Liqun Chen , Guoyin Wang , Chenyang Tao , Dinghan Shen , Pengyu Cheng , Xinyuan Zhang , Wenlin Wang , Yizhe Zhang , Lawrence Carin

Complex dynamical systems are often modeled as networks, with nodes representing dynamical units which interact through the network's links. Gene regulatory networks, responsible for the production of proteins inside a cell, are an example…

Statistical Mechanics · Physics 2009-09-30 Zoran Levnajić

We introduce a general framework for leveraging graph stream data for temporal prediction-based applications. Our proposed framework includes novel methods for learning an appropriate graph time-series representation, modeling and weighting…

Machine Learning · Computer Science 2020-09-22 Di Jin , Sungchul Kim , Ryan A. Rossi , Danai Koutra

Pairwise network comparison is essential for various applications, including neuroscience, disease research, and dynamic network analysis. While existing literature primarily focuses on comparing entire network structures, we address a…

Methodology · Statistics 2025-10-21 Runbing Zheng

Trajectories can be regarded as time-series of coordinates, typically arising from motile objects. Methods for trajectory classification are particularly important to detect different movement patterns, while methods for regression to…

Computer Vision and Pattern Recognition · Computer Science 2024-09-30 Mariaclaudia Nicolai , Raffaella Fiamma Cabini , Diego Ulisse Pizzagalli

In order to make full use of geographic routing techniques developed for sensor networks, nodes must be localized. However, traditional localization and virtual localization techniques are dependent either on expensive and sometimes…

Networking and Internet Architecture · Computer Science 2010-02-03 Aubin Jarry , Pierre Leone , Jose Rolim

Estimating the location of N coordinates in a P dimensional Euclidean space from pairwise distances (or proximity measurements), is a principal challenge in a wide variety of fields. Conventionally, when localizing a static network of…

Signal Processing · Electrical Eng. & Systems 2021-10-14 Raj Thilak Rajan , Geert Leus , Alle-Jan van der Veen

In recent years, graph representation learning has gained significant popularity, which aims to generate node embeddings that capture features of graphs. One of the methods to achieve this is employing a technique called random walks that…

Machine Learning · Computer Science 2022-10-13 Deniz Gurevin , Mohsin Shan , Tong Geng , Weiwen Jiang , Caiwen Ding , Omer Khan

Online users are typically active on multiple social media networks (SMNs), which constitute a multiplex social network. It is becoming increasingly challenging to determine whether given accounts on different SMNs belong to the same user;…

Physics and Society · Physics 2021-11-10 Rui Tang , Zhenxiong Miao , Shuyu Jiang , Xingshu Chen , Haizhou Wang , Wei Wang

We propose a new method for embedding graphs while preserving directed edge information. Learning such continuous-space vector representations (or embeddings) of nodes in a graph is an important first step for using network information…

Machine Learning · Computer Science 2017-09-15 Sami Abu-El-Haija , Bryan Perozzi , Rami Al-Rfou

Network embedding in heterogeneous information networks (HINs) is a challenging task, due to complications of different node types and rich relationships between nodes. As a result, conventional network embedding techniques cannot work on…

Social and Information Networks · Computer Science 2018-03-08 Daokun Zhang , Jie Yin , Xingquan Zhu , Chengqi Zhang

Knowledge Graph Embeddings (KGEs) have shown promising performance on link prediction tasks by mapping the entities and relations from a knowledge graph into a geometric space (usually a vector space). Ultimately, the plausibility of the…

Machine Learning · Computer Science 2020-10-20 Mojtaba Nayyeri , Chengjin Xu , Jens Lehmann , Sahar Vahdati

A key challenge in building theoretical foundations for deep learning is the complex optimization dynamics of neural networks, resulting from the high-dimensional interactions between the large number of network parameters. Such non-trivial…

Machine Learning · Computer Science 2021-12-07 Mohammad Pezeshki , Amartya Mitra , Yoshua Bengio , Guillaume Lajoie

Change detection plays a fundamental role in Earth observation for analyzing temporal iterations over time. However, recent studies have largely neglected the utilization of multimodal data that presents significant practical and technical…

Computer Vision and Pattern Recognition · Computer Science 2024-04-18 Biyuan Liu , Huaixin Chen , Kun Li , Michael Ying Yang
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