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Temporal graph neural networks (TGNNs) have been widely used for modeling time-evolving graph-related tasks due to their ability to capture both graph topology dependency and non-linear temporal dynamic. The explanation of TGNNs is of vital…

机器学习 · 计算机科学 2022-09-05 Wenchong He , Minh N. Vu , Zhe Jiang , My T. Thai

Time-varying optimization problems are prevalent in various engineering fields, and the ability to solve them accurately in real-time is becoming increasingly important. The prediction-correction algorithms used in smooth time-varying…

最优化与控制 · 数学 2024-02-12 Hidenori Iwakiri , Tomoya Kamijima , Shinji Ito , Akiko Takeda

We study the computability and complexity of the exploration problem in a class of highly dynamic graphs: periodically varying (PV) graphs, where the edges exist only at some (unknown) times defined by the periodic movements of carriers.…

数据结构与算法 · 计算机科学 2009-09-25 Paola Flocchini , Bernard Mans , Nicola Santoro

We present a unified pipeline for univariate time series classification via complex networks and persistent homology. A time series is mapped to a graph through one of five constructions across three families (visibility (natural and…

代数拓扑 · 数学 2026-05-05 İsmail Güzel

In this paper, we revisit a well-known distributed projected subgradient algorithm which aims to minimize a sum of cost functions with a common set constraint. In contrast to most of existing results, weight matrices of the time-varying…

最优化与控制 · 数学 2021-04-29 Weijian Li , Zihan Chen , Youcheng Lou , Yiguang Hong

The aim of this paper is to analyze a class of consensus algorithms with finite-time or fixed-time convergence for dynamic networks formed by agents with first-order dynamics. In particular, in the analyzed class a single evaluation of a…

We present the Temporal Graph Benchmark (TGB), a collection of challenging and diverse benchmark datasets for realistic, reproducible, and robust evaluation of machine learning models on temporal graphs. TGB datasets are of large scale,…

Transmission of a vertex v of a connected graph G is the sum of distances from v to all other vertices in G. Graph G is transmission irregular (TI) if no two of its vertices have the same transmission, and G is interval transmission…

组合数学 · 数学 2020-10-22 Salem Al-Yakoob , Dragan Stevanovic

Despite the successful application of Temporal Graph Networks (TGNs) for tasks such as dynamic node classification and link prediction, they still perform poorly on the task of dynamic node affinity prediction -- where the goal is to…

机器学习 · 计算机科学 2024-12-02 Benedict Aaron Tjandra , Federico Barbero , Michael Bronstein

Deep probabilistic time series forecasting models have become an integral part of machine learning. While several powerful generative models have been proposed, we provide evidence that their associated inference models are oftentimes too…

机器学习 · 计算机科学 2020-12-07 Chen Qiu , Stephan Mandt , Maja Rudolph

We study the stability of opinion dynamics in the time-varying Friedkin-Johnsen (TVFJ) model, which captures both persistent individual biases and adaptive social influence. We introduce two temporal structures, defected temporal graphs…

系统与控制 · 电气工程与系统科学 2025-10-03 M. Hossein Abedinzadeh , Emrah Akyol

A temporal graph is a graph whose edges only appear at certain points in time. Reachability in these graphs is defined in terms of paths that traverse the edges in chronological order (temporal paths). This form of reachability is neither…

计算复杂性 · 计算机科学 2024-07-01 Arnaud Casteigts , Nils Morawietz , Petra Wolf

Most instruments - formalisms, concepts, and metrics - for social networks analysis fail to capture their dynamics. Typical systems exhibit different scales of dynamics, ranging from the fine-grain dynamics of interactions (which recently…

社会与信息网络 · 计算机科学 2011-02-04 Nicola Santoro , Walter Quattrociocchi , Paola Flocchini , Arnaud Casteigts , Frederic Amblard

This article deals with the consensus problem involving agents with time-varying singularities in the dynamics or communication in undirected graph networks. Existing results provide control laws which guarantee asymptotic consensus. These…

系统与控制 · 计算机科学 2014-04-07 Nilanjan Roy Chowdhury , Srikant Sukumar

Forecasting future events is a fundamental challenge for temporal knowledge graphs (tKG). As in real life predicting a mean function is most of the time not sufficient, but the question remains how confident can we be about our prediction?…

机器学习 · 计算机科学 2023-01-13 Soeren Nolting , Zhen Han , Volker Tresp

In dynamic graphs, edges may be added or deleted in each synchronous round. Various connectivity models exist based on constraints on these changes. One well-known model is the $T$-Interval Connectivity model, where the graph remains…

分布式、并行与集群计算 · 计算机科学 2025-04-14 Ashish Saxena , Kaushik Mondal

Graph embeddings have emerged as a powerful tool for representing complex network structures in a low-dimensional space, enabling the use of efficient methods that employ the metric structure in the embedding space as a proxy for the…

社会与信息网络 · 计算机科学 2024-04-18 Radosław Nowak , Adam Małkowski , Daniel Cieślak , Piotr Sokół , Paweł Wawrzyński

Interactions between two entities often occur at specific timestamps, which can be modeled as a temporal graph. Exploring the relationships between vertices based on temporal paths is one of the fundamental tasks. In this paper, we conduct…

数据库 · 计算机科学 2025-07-15 Zhiyang Tang , Yanping Wu , Xiangjun Zai , Chen Chen , Xiaoyang Wang , Ying Zhang

The fully dynamic transitive closure problem asks to maintain reachability information in a directed graph between arbitrary pairs of vertices, while the graph undergoes a sequence of edge insertions and deletions. The problem has been…

数据结构与算法 · 计算机科学 2020-02-04 Kathrin Hanauer , Monika Henzinger , Christian Schulz

Given a static vertex-selection problem (e.g. independent set, dominating set) on a graph, we can define a corresponding temporally satisfying reconfiguration problem on a temporal graph which asks for a sequence of solutions to the…

数据结构与算法 · 计算机科学 2025-09-22 Tom Davot , Jessica Enright , Laura Larios-Jones