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Related papers: Scalar embedding of temporal network trajectories

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We develop a framework to track the structure of temporal networks with a signal processing approach. The method is based on the duality between networks and signals using a multidimensional scaling technique. This enables a study of the…

Social and Information Networks · Computer Science 2015-05-13 Ronan Hamon , Pierre Borgnat , Patrick Flandrin , Céline Robardet

Most social, technological and biological networks are embedded in a finite dimensional space, and the distance between two nodes influences the likelihood that they link to each other. Indeed, in social systems, the chance that two…

Physics and Society · Physics 2018-06-27 Paul Balister , Chaoming Song , Oliver Riordan , Bela Bollobas , Albert-Laszlo Barabasi

The topology of social networks can be understood as being inherently dynamic, with edges having a distinct position in time. Most characterizations of dynamic networks discretize time by converting temporal information into a sequence of…

Data Analysis, Statistics and Probability · Physics 2012-12-03 Aaron Clauset , Nathan Eagle

TimeCluster is a visual analytics technique for discovering structure in long multivariate time series by projecting overlapping windows of data into a low-dimensional space. We show that, when Principal Component Analysis (PCA) is chosen…

Machine Learning · Computer Science 2025-09-17 Christian L. Hines , Samuel Spillard , Daniel P. Martin

The recent proliferation of publicly available graph-structured data has sparked an interest in machine learning algorithms for graph data. Since most traditional machine learning algorithms assume data to be tabular, embedding algorithms…

Machine Learning · Computer Science 2019-08-09 Sourav Mukherjee , Tim Oates , Ryan Wright

Finding patterns in graphs is a fundamental problem in databases and data mining. In many applications, graphs are temporal and evolve over time, so we are interested in finding durable patterns, such as triangles and paths, which persist…

Databases · Computer Science 2024-03-26 Pankaj K. Agarwal , Xiao Hu , Stavros Sintos , Jun Yang

The wide spread use of positioning and photographing devices gives rise to a deluge of traffic trajectory data (e.g., vehicle passage records and taxi trajectory data), with each record having at least three attributes: object ID, location…

Machine Learning · Computer Science 2020-03-18 Meng Chen , Xiaohui Yu , Yang Liu

This paper considers the problem of embedding directed graphs in Euclidean space while retaining directional information. We model a directed graph as a finite set of observations from a diffusion on a manifold endowed with a vector field.…

Machine Learning · Statistics 2014-06-03 Dominique Perrault-Joncas , Marina Meila

Network inference, the task of reconstructing interactions in a complex system from experimental observables, is a central yet extremely challenging problem in systems biology. While much progress has been made in the last two decades,…

Quantitative Methods · Quantitative Biology 2024-09-12 Stephen Y Zhang

Random networks are increasingly used to analyse complex transportation networks, such as airline routes, roads and rail networks. So far, this research has been focused on describing the properties of the networks with the help of random…

Physics and Society · Physics 2017-09-19 Jürgen Hackl , Bryan T. Adey

We propose a neural embedding algorithm called Network Vector, which learns distributed representations of nodes and the entire networks simultaneously. By embedding networks in a low-dimensional space, the algorithm allows us to compare…

Social and Information Networks · Computer Science 2017-09-11 Hao Wu , Kristina Lerman

Temporal networks are a class of time-varying networks, which change their topology according to a given time-ordered sequence of static networks (known as subsystems). This paper investigates the reachability and controllability of…

Systems and Control · Electrical Eng. & Systems 2024-05-27 Yuan Zhang , Yuanqing Xia , Long Wang

Knowledge graphs have garnered significant research attention and are widely used to enhance downstream applications. However, most current studies mainly focus on static knowledge graphs, whose facts do not change with time, and disregard…

Computation and Language · Computer Science 2024-03-11 Li Cai , Xin Mao , Yuhao Zhou , Zhaoguang Long , Changxu Wu , Man Lan

Graph representation learning aims to effectively encode high-dimensional sparse graph-structured data into low-dimensional dense vectors, which is a fundamental task that has been widely studied in a range of fields, including machine…

Temporal networks, i.e., networks in which the interactions among a set of elementary units change over time, can be modelled in terms of time-varying graphs, which are time-ordered sequences of graphs over a set of nodes. In such graphs,…

Physics and Society · Physics 2013-06-04 Vincenzo Nicosia , John Tang , Cecilia Mascolo , Mirco Musolesi , Giovanni Russo , Vito Latora

We introduce an unsupervised graph embedding that trades off local node similarity and connectivity, and global structure. The embedding is based on a generalized graph Laplacian, whose eigenvectors compactly capture both network structure…

Machine Learning · Computer Science 2020-10-01 Shay Deutsch , Stefano Soatto

Embedding learning, a.k.a. representation learning, has been shown to be able to model large-scale semantic knowledge graphs. A key concept is a mapping of the knowledge graph to a tensor representation whose entries are predicted by models…

Artificial Intelligence · Computer Science 2016-05-10 Volker Tresp , Cristóbal Esteban , Yinchong Yang , Stephan Baier , Denis Krompaß

Understanding the temporal evolution of sets of vectors is a fundamental challenge across various domains, including ecology, crime analysis, and linguistics. For instance, ecosystem structures evolve due to interactions among plants,…

Machine Learning · Computer Science 2025-12-18 Taichi Aida , Mamoru Komachi , Toshinobu Ogiso , Hiroya Takamura , Daichi Mochihashi

Dynamic multilayer networks are frequently used to describe the structure and temporal evolution of multiple relationships among common entities, with applications in fields such as sociology, economics, and neuroscience. However,…

Methodology · Statistics 2026-04-06 Runshi Tang , Runbing Zheng , Anru R. Zhang , Carey E. Priebe

Temporal networks representing a stream of timestamped edges are seemingly ubiquitous in the real-world. However, the massive size and continuous nature of these networks make them fundamentally challenging to analyze and leverage for…

Data Structures and Algorithms · Computer Science 2021-01-08 Nesreen K. Ahmed , Nick Duffield , Ryan A. Rossi