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This paper proposes a data-driven method to automatically construct graph-based document representations. Building upon the recent work of Bugue\~no and de Melo (2025), we leverage the dynamic sliding-window attention module to effectively…

计算与语言 · 计算机科学 2026-03-03 Ruangrin Ldallitsakool , Margarita Bugueño , Gerard de Melo

The growing complexity of the power grid, driven by increasing share of distributed energy resources and by massive deployment of intelligent internet-connected devices, requires new modelling tools for planning and operation. Physics-based…

机器学习 · 统计学 2018-11-26 Francesco Fusco

We consider Gallai's graph Modular Decomposition theory for network analytics. On the one hand, by arguing that this is a choice tool for understanding structural and functional similarities among nodes in a network. On the other, by…

离散数学 · 计算机科学 2018-12-04 Carenne Ludena , Miguel mendez , Nicolas Bolivar

The first step in any genome assembly algorithm entails the conversion from the domain of strings and overlaps to the language of graphs and paths, typically using one of the two conventional methods: de Bruijn graphs or overlap graphs.…

基因组学 · 定量生物学 2026-04-27 Anton Bankevich

This work considers the distributed computation of the one-to-one vertex correspondences between two undirected and connected graphs, which is called \textit{graph matching}, over multi-agent networks. Given two \textit{isomorphic} and…

最优化与控制 · 数学 2020-02-21 Quoc Van Tran , Zhiyong Sun , Brian D. O. Anderson , Hyo-Sung Ahn

Aspect-orientation is a relatively new paradigm that introduces abstractions to modularize the implementation of system-wide policies. It is based on a composition operation, called aspect weaving, that implicitly modifies a base system by…

计算机科学中的逻辑 · 计算机科学 2010-04-01 Rodrigo Machado , Reiko Heckel , Leila Ribeiro

Controlling network systems has become a problem of paramount importance. In this paper, we consider a distributed linear-quadratic problem and propose the use of graph neural networks (GNNs) to parametrize and design a distributed…

系统与控制 · 电气工程与系统科学 2022-02-14 Fernando Gama , Somayeh Sojoudi

We define notions of local topological convergence and local geometric convergence for embedded graphs in $\mathbb{R}^n,$ and study their properties. The former is related to Benjamini-Schramm convergence, and the latter to weak convergence…

概率论 · 数学 2017-06-28 Benjamin Schweinhart

We propose a novel distributed algorithm to cluster graphs. The algorithm recovers the solution obtained from spectral clustering without the need for expensive eigenvalue/vector computations. We prove that, by propagating waves through the…

离散数学 · 计算机科学 2015-03-13 Tuhin Sahai , Alberto Speranzon , Andrzej Banaszuk

It is challenging for generative models to learn a distribution over graphs because of the lack of permutation invariance: nodes may be ordered arbitrarily across graphs, and standard graph alignment is combinatorial and notoriously…

社会与信息网络 · 计算机科学 2023-01-27 Kimia Shayestehfard , Dana Brooks , Stratis Ioannidis

Representing a graph as a vector is a challenging task; ideally, the representation should be easily computable and conducive to efficient comparisons among graphs, tailored to the particular data and analytical task at hand. Unfortunately,…

社会与信息网络 · 计算机科学 2018-11-16 Anton Tsitsulin , Davide Mottin , Panagiotis Karras , Alex Bronstein , Emmanuel Müller

This paper studies the problem of designing networks that are strong structurally controllable, and robust simultaneously. For given network specifications, including the number of nodes $N$, the number of leaders $N_L$, and diameter $D$,…

系统与控制 · 电气工程与系统科学 2023-03-13 Priyanshkumar I. Patel , Johir Suresh , Waseem Abbas

Many tools from the field of graph signal processing exploit knowledge of the underlying graph's structure (e.g., as encoded in the Laplacian matrix) to process signals on the graph. Therefore, in the case when no graph is available, graph…

数据结构与算法 · 计算机科学 2017-06-07 Bastien Pasdeloup , Vincent Gripon , Grégoire Mercier , Dominique Pastor , Michael G. Rabbat

In this paper, we introduce a self-supervised learning method to enhance the graph-level representations with the help of a set of subgraphs. For this purpose, we propose a universal framework to generate subgraphs in an auto-regressive way…

机器学习 · 计算机科学 2021-05-10 Chenguang Wang , Ziwen Liu

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

Graphs are a central tool in machine learning and information processing as they allow to conveniently capture the structure of complex datasets. In this context, it is of high importance to develop flexible models of signals defined over…

数据结构与算法 · 计算机科学 2017-05-24 Nathanaël Perraudin , Pierre Vandergheynst

We introduce the Iterated Global model as a deterministic graph process that simulates several properties of complex networks. In this model, for every set $S$ of nodes of a prescribed cardinality, we add a new node that is adjacent to…

离散数学 · 计算机科学 2020-02-21 Anthony Bonato , Erin Meger

Over recent years, denoising diffusion generative models have come to be considered as state-of-the-art methods for synthetic data generation, especially in the case of generating images. These approaches have also proved successful in…

机器学习 · 计算机科学 2023-06-30 Stratis Limnios , Praveen Selvaraj , Mihai Cucuringu , Carsten Maple , Gesine Reinert , Andrew Elliott

Discovering the underlying structures present in large real world graphs is a fundamental scientific problem. In this paper we show that a graph's clique tree can be used to extract a hyperedge replacement grammar. If we store an ordering…

社会与信息网络 · 计算机科学 2016-08-11 Salvador Aguiñaga , Rodrigo Palacios , David Chiang , Tim Weninger

Graph-based semi-supervised learning usually involves two separate stages, constructing an affinity graph and then propagating labels for transductive inference on the graph. It is suboptimal to solve them independently, as the correlation…

计算机视觉与模式识别 · 计算机科学 2019-02-19 Qilin Li , Senjian An , Ling Li , Wanquan Liu