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Deterministic routing has emerged as a promising technology for future non-terrestrial networks (NTNs), offering the potential to enhance service performance and optimize resource utilization. However, the dynamic nature of network topology…

网络与互联网体系结构 · 计算机科学 2024-01-24 Keyi Shi , Jingchao Wang , Hongyan Li , Kan Wang

Biological and cellular systems are often modeled as graphs in which vertices represent objects of interest (genes, proteins, drugs) and edges represent relational ties among these objects (binds-to, interacts-with, regulates). This…

机器学习 · 统计学 2017-03-16 Jose Lugo-Martinez , Predrag Radivojac

A temporal graph ${\cal G}$ is a graph that changes with time. More specifically, it is a pair $(G, \lambda)$ where $G$ is a graph and $\lambda$ is a function on the edges of $G$ that describes when each edge $e\in E(G)$ is active. Given…

组合数学 · 数学 2022-08-16 Allen Ibiapina , Ana Silva

Difference-in-Differences (DiD) is a widely used research design that often relies on a conditional parallel trends (CPT) assumption. In contrast to settings with unconfoundedness, where causal graphs provide powerful frameworks for…

计量经济学 · 经济学 2026-04-15 Michael C. Knaus , Henri Pfleiderer

The problem of inferring unknown graph edges from numerical data at a graph's nodes appears in many forms across machine learning. We study a version of this problem that arises in the field of \emph{landscape genetics}, where genetic…

机器学习 · 计算机科学 2021-03-11 Prathamesh Dharangutte , Christopher Musco

The graph isomorphism problem is a main problem which has numerous applications in different fields. Thus, finding an efficient and easy to implement method to discriminate non-isomorphic graphs is valuable. In this paper, a new method is…

组合数学 · 数学 2016-11-08 Ameneh Farhadian

We introduce the \emph{temporal graphlet kernel} for classifying dissemination processes in labeled temporal graphs. Such dissemination processes can be spreading (fake) news, infectious diseases, or computer viruses in dynamic networks.…

社会与信息网络 · 计算机科学 2022-09-16 Lutz Oettershagen , Nils M. Kriege , Claude Jordan , Petra Mutzel

Our purpose is to study the family of simple undirected graphs whose toric ideal is a complete intersection from both an algorithmic and a combinatorial point of view. We obtain a polynomial time algorithm that, given a graph $G$, checks…

交换代数 · 数学 2015-07-14 Isabel Bermejo , Ignacio García-Marco , Enrique Reyes

We study the problem of graph structure identification, i.e., of recovering the graph of dependencies among time series. We model these time series data as components of the state of linear stochastic networked dynamical systems. We assume…

机器学习 · 计算机科学 2023-06-29 Sérgio Machado , Anirudh Sridhar , Paulo Gil , Jorge Henriques , José M. F. Moura , Augusto Santos

We present the modification of natural visibility graph (NVG) algorithm used for the mapping of the time series to the complex networks (graphs). We propose the parametric natural visibility graph (PNVG) algorithm. The PNVG consists of NVG…

数据分析、统计与概率 · 物理学 2015-06-11 I. V. Bezsudnov , A. A. Snarskii

Deep learning based approaches have been utilized to model and generate graphs subjected to different distributions recently. However, they are typically unsupervised learning based and unconditioned generative models or simply conditioned…

机器学习 · 计算机科学 2023-08-29 Shanchao Yang , Jing Liu , Kai Wu , Mingming Li

Graph classification is essential for understanding complex biological systems, where molecular structures and interactions are naturally represented as graphs. Traditional graph neural networks (GNNs) perform well on static tasks but…

机器学习 · 计算机科学 2025-10-29 Ding Zhang , Jane Downer , Can Chen , Ren Wang

The growing availability of high-resolution, long-term time series data has highlighted the need for methods capable of capturing both local and global patterns. To address this, we introduce the Probabilistic Visibility Graph (PVG), a…

系统与控制 · 电气工程与系统科学 2025-07-03 Roberto Sotero , Jose Sanchez-Bornot

Temporal Graph Networks (TGNs) have demonstrated significant success in dynamic graph tasks such as link prediction and node classification. Both tasks comprise transductive settings, where the model predicts links among known nodes, and in…

机器学习 · 计算机科学 2025-04-16 Jiafeng Xiong , Rizos Sakellariou

Future link prediction is a fundamental challenge in various real-world dynamic systems. To address this, numerous temporal graph neural networks (temporal GNNs) and benchmark datasets have been developed. However, these datasets often…

机器学习 · 计算机科学 2025-03-18 Lu Yi , Jie Peng , Yanping Zheng , Fengran Mo , Zhewei Wei , Yuhang Ye , Yue Zixuan , Zengfeng Huang

Many real-world networks, such as transportation or trade networks, are dynamic in the sense that the edge set may change over time, but these changes are known in advance. This behavior is captured by the temporal graphs model, which has…

We consider the following problem closely related to graph isomorphism. In a simplified version, the task is to compute the automorphism group of a given set family (or a hypergraph), that is, the group of all automorphisms of the given…

离散数学 · 计算机科学 2022-06-29 Deniz Ağaoğlu Çağırıcı , Petr Hliněný

Irregularly sampled multivariate time series are ubiquitous in several application domains, leading to sparse, not fully-observed and non-aligned observations across different variables. Standard sequential neural network architectures,…

机器学习 · 计算机科学 2023-08-10 Chrysoula Kosma , Giannis Nikolentzos , Michalis Vazirgiannis

We introduce a persistent commutative algebra for studying the algebraic and combinatorial evolution of edge ideals of graphs and hypergraphs under filtration. Building on the Persistent Stanley--Reisner Theory (PSRT), we develop the notion…

交换代数 · 数学 2025-12-22 Faisal Suwayyid , Guo-Wei Wei

An edge of a graph dominates itself along with any edge that shares an endpoint with it. An efficient edge dominating set (also called a dominating induced matching, DIM) is a subset of edges such that each edge of the graph is dominated by…

组合数学 · 数学 2026-03-06 Luciano N. Grippo , Min Chih Lin , Camilo Vera