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Topological data analysis is a powerful tool for describing topological signatures in real world data. An important challenge in topological data analysis is matching significant topological signals across distinct systems. In geometry and…

Algebraic Topology · Mathematics 2025-02-19 Stephen Y Zhang , Michael P H Stumpf , Tom Needham , Agnese Barbensi

Hypergraphs, with their capacity to depict high-order relationships, have emerged as a significant extension of traditional graphs. Although Graph Neural Networks (GNNs) have remarkable performance in graph representation learning, their…

Machine Learning · Computer Science 2024-11-07 Khaled Mohammed Saifuddin , Mehmet Emin Aktas , Esra Akbas

Through legislation and technical advances users gain more control over how their data is processed, and they expect online services to respect their privacy choices and preferences. However, data may be processed for many different…

Databases · Computer Science 2024-03-19 Dorota Filipczuk , Enrico H. Gerding , George Konstantinidis

Spectral graph convolutional neural networks (CNNs) require approximation to the convolution to alleviate the computational complexity, resulting in performance loss. This paper proposes the topology adaptive graph convolutional network…

Machine Learning · Computer Science 2018-02-13 Jian Du , Shanghang Zhang , Guanhang Wu , Jose M. F. Moura , Soummya Kar

In complex systems (e.g., communication, transportation, and biological networks), high robustness ensures sustained functionality and stability even when resisting attacks. However, the inherent structure complexity and the…

Physics and Society · Physics 2025-06-13 Xilong Qu , Wenbin Pei , Haifang Li , Qiang Zhang , Bing Xue , Mengjie Zhang

Unsupervised data representation and visualization using tools from topology is an active and growing field of Topological Data Analysis (TDA) and data science. Its most prominent line of work is based on the so-called Mapper graph, which…

Machine Learning · Computer Science 2025-06-04 Ziyad Oulhaj , Mathieu Carrière , Bertrand Michel

In this paper, we study the distributed control of networked cyber-physical systems when a much more energy-efficient distributed communication management strategy is proposed to solve the well-studied consensus problem. In contrast to the…

Systems and Control · Computer Science 2016-09-14 Yongcan Cao , Eduardo Pasiliao

Decentralized learning has recently been attracting increasing attention for its applications in parallel computation and privacy preservation. Many recent studies stated that the underlying network topology with a faster consensus rate…

Machine Learning · Computer Science 2023-10-17 Yuki Takezawa , Ryoma Sato , Han Bao , Kenta Niwa , Makoto Yamada

Recently, contrastive learning (CL) has emerged as a successful method for unsupervised graph representation learning. Most graph CL methods first perform stochastic augmentation on the input graph to obtain two graph views and maximize the…

Machine Learning · Computer Science 2021-03-01 Yanqiao Zhu , Yichen Xu , Feng Yu , Qiang Liu , Shu Wu , Liang Wang

One of the paramount challenges in neuroscience is to understand the dynamics of individual neurons and how they give rise to network dynamics when interconnected. Historically, researchers have resorted to graph theory, statistics, and…

Neurons and Cognition · Quantitative Biology 2019-02-08 Jean-Baptiste Bardin , Gard Spreemann , Kathryn Hess

Graphical passwords (GPWs) have been studied over 20 years. We are motivated from QR codes that can be considered GPWs, are successfully applied in today's world. However, one need such GPWs that can be use conveniently and have higher…

Cryptography and Security · Computer Science 2018-06-11 Bing Yao , Hui Sun , Hongyu Wang , Jing Su , Jin Xu

Graphs are widely used in various fields of computer science. They have also found application in unrelated areas, leading to a diverse range of problems. These problems can be modeled as relationships between entities in various contexts,…

Data Structures and Algorithms · Computer Science 2024-05-20 Davide Rucci

The rise of digital ecosystems has exposed the financial sector to evolving abuse and criminal tactics that share operational knowledge and techniques both within and across different environments (fiat-based, crypto-assets, etc.).…

Machine Learning · Computer Science 2025-09-17 Francesco Zola , Jon Ander Medina , Andrea Venturi , Amaia Gil , Raul Orduna

We consider the dynamics of a reaction-diffusion system on a multigraph. The species share the same set of nodes but can access different links to explore the embedding spatial support. By acting on the topology of the networks we can…

Statistical Mechanics · Physics 2016-12-21 Malbor Asllani , Timoteo Carletti , Duccio Fanelli

Topology optimization is used to systematically design contact-aided thermo-mechanical regulators, i.e. components whose effective thermal conductivity is tunable by mechanical deformation and contact. The thermo-mechanical interactions are…

Computational Engineering, Finance, and Science · Computer Science 2024-06-04 Anna Dalklint , Joe Alexandersen , Andreas Henrik Frederiksen , Konstantinos Poulios , Ole Sigmund

Topology control algorithms allow each node in a wireless multi-hop network to adjust the power at which it makes its transmissions and choose the set of neighbors with which it communicates directly, while preserving global goals such as…

Networking and Internet Architecture · Computer Science 2013-09-13 Xiaoyu Chu , Harish Sethu

A major problem in the study of complex socioeconomic systems is represented by privacy issues$-$that can put severe limitations on the amount of accessible information, forcing to build models on the basis of incomplete knowledge. In this…

In this paper, we present a novel workflow consisting of algebraic algorithms and data structures for fast and topologically accurate conversion of vector data models such as Boundary Representations into voxels (topological voxelization);…

Graphics · Computer Science 2023-09-28 Pirouz Nourian , Shervin Azadi

Graph rewiring has emerged as a key technique to alleviate over-squashing in Graph Neural Networks (GNNs) and Graph Transformers by modifying the graph topology to improve information flow. While effective, rewiring inherently alters the…

Machine Learning · Computer Science 2025-10-24 Alexandre Benoit , Catherine Aitken , Yu He

This paper addresses the problem of identifying the graph structure of a dynamical network using measured input/output data. This problem is known as topology identification and has received considerable attention in recent literature. Most…

Optimization and Control · Mathematics 2020-05-08 Henk J. van Waarde , Pietro Tesi , M. Kanat Camlibel