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The topological (or graph) structures of real-world networks are known to be predictive of multiple dynamic properties of the networks. Conventionally, a graph structure is represented using an adjacency matrix or a set of hand-crafted…

Social and Information Networks · Computer Science 2016-10-21 Cheng Li , Xiaoxiao Guo , Qiaozhu Mei

Neural networks can be thought of as applying a transformation to an input dataset. The way in which they change the topology of such a dataset often holds practical significance for many tasks, particularly those demanding non-homeomorphic…

Machine Learning · Computer Science 2024-06-05 Kosio Beshkov , Gaute T. Einevoll

Because most of the scientific literature data is unmarked, it makes semantic representation learning based on unsupervised graph become crucial. At the same time, in order to enrich the features of scientific literature, a learning method…

Computation and Language · Computer Science 2023-11-02 Hongrui Gao , Yawen Li , Meiyu Liang , Zeli Guan , Zhe Xue

Attributed network embedding aims to learn low-dimensional vector representations for nodes in a network, where each node contains rich attributes/features describing node content. Because network topology structure and node attributes…

Social and Information Networks · Computer Science 2018-10-17 Daokun Zhang , Jie Yin , Xingquan Zhu , Chengqi Zhang

Message passing neural networks (MPNNs) operate on graphs by exchanging information between neigbouring nodes. MPNNs have been successfully applied to various node-, edge-, and graph-level tasks in areas like molecular science, computer…

Machine Learning · Computer Science 2025-11-05 Lisi Qarkaxhija , Anatol E. Wegner , Ingo Scholtes

It is an increasingly common practice in several natural and social sciences to rely on network visualisations both as heuristic tools to get a first overview of relational datasets and as a way to offer an illustration of network analysis…

Physics and Society · Physics 2019-05-08 Tommaso Venturini , Mathieu Jacomy , Pablo Jensen

We propose a novel framework seamlessly providing key properties of both neural nets (learning) and symbolic logic (knowledge and reasoning). Every neuron has a meaning as a component of a formula in a weighted real-valued logic, yielding a…

Inferring network topology from dynamical observations is a fundamental problem pervading research on complex systems. Here, we present a simple, direct method to infer the structural connection topology of a network, given an observation…

Chaotic Dynamics · Physics 2015-05-19 Srinivas Gorur Shandilya , Marc Timme

Network topology inference is a prominent problem in Network Science. Most graph signal processing (GSP) efforts to date assume that the underlying network is known, and then analyze how the graph's algebraic and spectral characteristics…

Signal Processing · Electrical Eng. & Systems 2019-05-22 Gonzalo Mateos , Santiago Segarra , Antonio G. Marques , Alejandro Ribeiro

We recently introduced a formalism for the modeling of temporal networks, that we call stream graphs. It emphasizes the streaming nature of data and allows rigorous definitions of many important concepts generalizing classical graphs. This…

Social and Information Networks · Computer Science 2021-11-24 Matthieu Latapy , Clémence Magnien , Tiphaine Viard

In this paper, we address the problem of dynamic network embedding, that is, representing the nodes of a dynamic network as evolving vectors within a low-dimensional space. While the field of static network embedding is wide and…

Social and Information Networks · Computer Science 2023-11-17 Ed Davis , Ian Gallagher , Daniel John Lawson , Patrick Rubin-Delanchy

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

In real-world systems, the relationships and connections between components are highly complex. Real systems are often described as networks, where nodes represent objects in the system and edges represent relationships or connections…

Algebraic Topology · Mathematics 2024-06-24 Shen Zhang

This paper addresses the challenge of integrating semantic communication principles into operated networks, traditionally optimized based on network-centric metrics rather than application-specific needs. Operated networks strongly adhere…

Networking and Internet Architecture · Computer Science 2025-10-02 Quentin Lampin , Louis-Adrien Dufrène , Guillaume Larue

Recently network embedding has gained increasing attention due to its advantages in facilitating network computation tasks such as link prediction, node classification and node clustering. The objective of network embedding is to represent…

Machine Learning · Computer Science 2022-02-15 Mohammadreza Radmanesh , Hossein Ghorbanzadeh , Ahmad Asgharian Rezaei , Mahdi Jalili , Xinghuo Yu

In linear models, visualizing a weight vector naturally reveals the model's preferred input direction, but extending this intuition to deep networks via gradients or gradient ascent often yields brittle or adversarial-looking features. We…

Machine Learning · Computer Science 2026-05-08 Maciej Satkiewicz , Roberto Corizzo , Marcin Pietroń

As data structures and mathematical objects used for complex systems modeling, hypergraphs sit nicely poised between on the one hand the world of network models, and on the other that of higher-order mathematical abstractions from algebra,…

Network tomography is a crucial problem in network monitoring, where the observable path performance metric values are used to infer the unobserved ones, making it essential for tasks such as route selection, fault diagnosis, and traffic…

Machine Learning · Computer Science 2025-02-25 Yuntong Hu , Junxiang Wang , Liang Zhao

In evolutionary biology, phylogenetic networks are graphs that provide a flexible framework for representing complex evolutionary histories that involve reticulate evolutionary events. Recently phylogenetic studies have started to focus on…

Populations and Evolution · Quantitative Biology 2025-11-17 Niels Holtgrefe , Katharina T. Huber , Leo van Iersel , Mark Jones , Vincent Moulton

The topology of many real complex networks has been conjectured to be embedded in hidden metric spaces, where distances between nodes encode their likelihood of being connected. Besides of providing a natural geometrical interpretation of…

Physics and Society · Physics 2017-01-23 Antoine Allard , M. Ángeles Serrano , Guillermo García-Pérez , Marián Boguñá