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We present a new feature extraction method for complex and large datasets, based on the concept of transport operators on graphs. The proposed approach generalizes and extends the many existing data representation methodologies built upon…

机器学习 · 计算机科学 2019-11-01 Wojciech Czaja , Dong Dong , Pierre-Emmanuel Jabin , Franck Olivier Ndjakou Njeunje

Topological metrics of graphs provide a natural way to describe the prominent features of various types of networks. Graph metrics describe the structure and interplay of graph edges and have found applications in many scientific fields. In…

数据结构与算法 · 计算机科学 2018-06-21 Loukianos Spyrou , Javier Escudero

Estimating the structure of directed acyclic graphs (DAGs) of features (variables) plays a vital role in revealing the latent data generation process and providing causal insights in various applications. Although there have been many…

机器学习 · 计算机科学 2024-03-06 Shaohua Fan , Shuyang Zhang , Xiao Wang , Chuan Shi

In the real world, out-of-distribution samples, noise and distortions exist in test data. Existing deep networks developed for point cloud data analysis are prone to overfitting and a partial change in test data leads to unpredictable…

计算机视觉与模式识别 · 计算机科学 2020-12-04 Morteza Ghahremani , Bernard Tiddeman , Yonghuai Liu , Ardhendu Behera

The present paper studies local distributed graph problems in highly dynamic networks. Communication and changes of the graph happen in synchronous rounds and our algorithms always, i.e., in every round, satisfy non-trivial guarantees, no…

数据结构与算法 · 计算机科学 2018-12-10 Philipp Bamberger , Fabian Kuhn , Yannic Maus

Graph theory and graph mining constitute rich fields of computational techniques to study the structures, topologies and properties of graphs. These techniques constitute a good asset in bioinformatics if there exist efficient methods for…

生物大分子 · 定量生物学 2016-04-04 Wajdi Dhifli , Abdoulaye Baniré Diallo

Graphs naturally appear in several real-world contexts including social networks, the web network, and telecommunication networks. While the analysis and the understanding of graph structures have been a central area of study in algorithm…

数据结构与算法 · 计算机科学 2019-09-17 Gramoz Goranci

Network models have been widely used to study diverse systems and analyze their dynamic behaviors. Given the structural variability of networks, an intriguing question arises: Can we infer the type of system represented by a network based…

社会与信息网络 · 计算机科学 2025-05-29 Gonzalo Travieso , Joao Merenda , Odemir M. Bruno

The distance-geometric graph representation adopts a unified scheme (distance) for representing the geometry of three-dimensional(3D) graphs. It is invariant to rotation and translation of the graph and it reflects pair-wise node…

计算机视觉与模式识别 · 计算机科学 2021-03-23 Daniel T. Chang

Functional brain dynamics is supported by parallel and overlapping functional network modes that are associated with specific neural circuits. Decomposing these network modes from fMRI data and finding their temporal characteristics is…

人工智能 · 计算机科学 2023-12-08 Md Asadullah Turja , Martin Styner , Guorong Wu

Graph layout is the process of creating a visual representation of a graph through a node-link diagram. Node-attribute graphs have additional data stored on the nodes which describe certain properties of the nodes called attributes. Typical…

图形学 · 计算机科学 2017-12-18 Helen Gibson , Paul Vickers

This paper builds on the connection between graph neural networks and traditional dynamical systems. We propose continuous graph neural networks (CGNN), which generalise existing graph neural networks with discrete dynamics in that they can…

机器学习 · 计算机科学 2020-07-17 Louis-Pascal A. C. Xhonneux , Meng Qu , Jian Tang

Dynamic networks reflect temporal changes occurring to the graph's structure and are used to model a wide variety of problems in many application fields. We investigate the design space of dynamic graph visualization along two major…

人机交互 · 计算机科学 2022-09-07 Velitchko Filipov , Alessio Arleo , Markus Bögl , Silvia Miksch

Many systems comprising entities in interactions can be represented as graphs, whose structure gives significant insights about how these systems work. Network theory has undergone further developments, in particular in relation to…

数据分析、统计与概率 · 物理学 2016-06-14 Ronan Hamon , Pierre Borgnat , Patrick Flandrin , Céline Robardet

Dynamic networks consist of interconnected dynamical systems. The subsystems can be viewed as transformations of input signals into output signals, where signals flow from one system into another through interconnections. The signal flows…

系统与控制 · 电气工程与系统科学 2026-04-17 E. M. M. , Kivits , Paul M. J. Van den Hof

The graph identification problem consists of discovering the interactions among nodes in a network given their state/feature trajectories. This problem is challenging because the behavior of a node is coupled to all the other nodes by the…

系统与控制 · 电气工程与系统科学 2023-10-24 Eduardo Sebastian , Thai Duong , Nikolay Atanasov , Eduardo Montijano , Carlos Sagues

Dynamic graph clustering aims to detect and track time-varying clusters in dynamic graphs, revealing the evolutionary mechanisms of complex real-world dynamic systems. Matrix factorization-based methods are promising approaches for this…

机器学习 · 计算机科学 2025-02-11 Dongyuan Li , Satoshi Kosugi , Ying Zhang , Manabu Okumura , Feng Xia , Renhe Jiang

The family of visibility algorithms were recently introduced as mappings between time series and graphs. Here we extend this method to characterize spatially extended data structures by mapping scalar fields of arbitrary dimension into…

数据分析、统计与概率 · 物理学 2017-09-13 Lucas Lacasa , Jacopo Iacovacci

Graph neural networks trained to predict observable dynamics can be used to decompose the temporal activity of complex heterogeneous systems into simple, interpretable representations. Here we apply this framework to simulated neural…

神经元与认知 · 定量生物学 2026-02-17 Cédric Allier , Larissa Heinrich , Magdalena Schneider , Stephan Saalfeld

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…

社会与信息网络 · 计算机科学 2016-10-21 Cheng Li , Xiaoxiao Guo , Qiaozhu Mei
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