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Learning topological representation of a network in dynamic environments has recently attracted considerable attention due to the time-evolving nature of many real-world networks i.e. nodes/links might be added/removed as time goes on.…

Social and Information Networks · Computer Science 2019-07-30 Chengbin Hou , Han Zhang , Ke Tang , Shan He

Despite the prevalence of recent success in learning from static graphs, learning from time-evolving graphs remains an open challenge. In this work, we design new, more stringent evaluation procedures for link prediction specific to dynamic…

Machine Learning · Computer Science 2022-09-13 Farimah Poursafaei , Shenyang Huang , Kellin Pelrine , Reihaneh Rabbany

Many real-world systems, such as social networks, rely on mining efficiently large graphs, with hundreds of millions of vertices and edges. This volume of information requires partitioning the graph across multiple nodes in a distributed…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-09-11 Luis Vaquero , Felix Cuadrado , Dionysios Logothetis , Claudio Martella

Graph Neural Networks (GNNs) play a crucial role in various fields. However, most existing deep graph learning frameworks assume pre-stored static graphs and do not support training on graph streams. In contrast, many real-world graphs are…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-12-01 Yuchen Zhong , Guangming Sheng , Tianzuo Qin , Minjie Wang , Quan Gan , Chuan Wu

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…

Neurons and Cognition · Quantitative Biology 2026-02-17 Cédric Allier , Larissa Heinrich , Magdalena Schneider , Stephan Saalfeld

In distributed networks, it is often useful for the nodes to be aware of dense subgraphs, e.g., such a dense subgraph could reveal dense subtructures in otherwise sparse graphs (e.g. the World Wide Web or social networks); these might…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-08-08 Atish Das Sarma , Ashwin Lall , Danupon Nanongkai , Amitabh Trehan

We are interested in multilayer graph clustering, which aims at dividing the graph nodes into categories or communities. To do so, we propose to learn a clustering-friendly embedding of the graph nodes by solving an optimization problem…

Machine Learning · Computer Science 2021-03-31 Mireille El Gheche , Pascal Frossard

We present a framework for simulating signal propagation in geometric networks (i.e. networks that can be mapped to geometric graphs in some space) and for developing algorithms that estimate (i.e. map) the state and functional topology of…

Disordered Systems and Neural Networks · Physics 2010-06-23 Marius Buibas , Gabriel A. Silva

We consider a discrete-time model of continuous-time distributed optimization over dynamic directed-graphs (digraphs) with applications to distributed learning. Our optimization algorithm works over general strongly connected dynamic…

Optimization and Control · Mathematics 2024-03-27 Mohammadreza Doostmohammadian , Wei Jiang , Muwahida Liaquat , Alireza Aghasi , Houman Zarrabi

Time-evolving or temporal graphs gain more and more popularity when studying the behavior of complex networks. In this context, the multistage view on computational problems is among the most natural frameworks. Roughly speaking, herein one…

Computational Complexity · Computer Science 2020-07-30 Klaus Heeger , Anne-Sophie Himmel , Frank Kammer , Rolf Niedermeier , Malte Renken , Andrej Sajenko

Community-based graph clustering is one of the most popular topics in the analysis of complex social networks. This type of clustering involves grouping vertices that are considered to share more connections, whereas vertices in different…

Optimization and Control · Mathematics 2025-11-25 Wenshun Teng , Qingna Li

In recent years, Dynamic Graph (DG) representations have been increasingly used for modeling dynamic systems due to their ability to integrate both topological and temporal information in a compact representation. Dynamic graphs allow to…

Machine Learning · Computer Science 2023-04-13 Leshanshui Yang , Sébastien Adam , Clément Chatelain

A dynamical network, a graph whose nodes are dynamical systems, is usually characterized by a large dimensional space which is not always accesible due to the impossibility of measuring all the variables spanning the state space. Therefore,…

Chaotic Dynamics · Physics 2019-07-25 Irene Sendiña-Nadal , Christophe Letellier

Graph pattern matching algorithms to handle million-scale dynamic graphs are widely used in many applications such as social network analytics and suspicious transaction detections from financial networks. On the other hand, the computation…

Databases · Computer Science 2019-07-10 Hiroki Kanezashi , Toyotaro Suzumura , Dario Garcia-Gasulla , Min-hwan Oh , Satoshi Matsuoka

Large language models (LLMs) have demonstrated impressive capabilities in natural language understanding and generation, including multi-step reasoning such as mathematical proving. However, existing approaches often lack an explicit and…

Computation and Language · Computer Science 2026-05-19 Yutong Li , Yitian Zhou , Xudong Wang , GuoChen , Caiyan Qin

In this paper we develop a novel Topological Data Analysis (TDA) approach for studying graph representations of time series of dynamical systems. Specifically, we show how persistent homology, a tool from TDA, can be used to yield a…

Chaotic Dynamics · Physics 2020-01-28 Audun Myers , Elizabeth Munch , Firas A. Khasawneh

Dynamic graphs, featuring continuously updated vertices and edges, have grown in importance for numerous real-world applications. To accommodate this, graph frameworks, particularly their internal data structures, must support both…

Data Structures and Algorithms · Computer Science 2024-03-06 Abdullah Al Raqibul Islam , Dong Dai

Dynamic community detection has been prospered as a powerful tool for quantifying changes in dynamic brain network connectivity patterns by identifying strongly connected sets of nodes. However, as the network science problems and network…

Social and Information Networks · Computer Science 2022-07-11 Changwei Gong , Changhong Jing , Yanyan Shen , Shuqiang Wang

Efficient layout of large-scale graphs remains a challenging problem: the force-directed and dimensionality reduction-based methods suffer from high overhead for graph distance and gradient computation. In this paper, we present a new graph…

Social and Information Networks · Computer Science 2020-08-19 Minfeng Zhu , Wei Chen , Yuanzhe Hu , Yuxuan Hou , Liangjun Liu , Kaiyuan Zhang

Visibility algorithms transform time series into graphs and encode dynamical information in their topology, paving the way for graph-theoretical time series analysis as well as building a bridge between nonlinear dynamics and network…

Data Analysis, Statistics and Probability · Physics 2016-05-11 Jacopo Iacovacci , Lucas Lacasa
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