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This paper shows that pairwise PageRank orders emerge from two-hop walks. The main tool used here refers to a specially designed sign-mirror function and a parameter curve, whose low-order derivative information implies pairwise PageRank…

机器学习 · 计算机科学 2019-03-12 Ying Tang

What is the best way to match the nodes of two graphs? This graph alignment problem generalizes graph isomorphism and arises in applications from social network analysis to bioinformatics. Some solutions assume that auxiliary information on…

信息检索 · 计算机科学 2021-06-14 Judith Hermanns , Anton Tsitsulin , Marina Munkhoeva , Alex Bronstein , Davide Mottin , Panagiotis Karras

Global retailers have assortments that contain hundreds of thousands of products that can be linked by several types of relationships like style compatibility, "bought together", "watched together", etc. Graphs are a natural representation…

机器学习 · 计算机科学 2021-10-06 Haris Dukic , Georgios Deligiorgis , Pierpaolo Sepe , Davide Bacciu , Marco Trincavelli

A large number of deep learning models have been proposed for the text matching problem, which is at the core of various typical natural language processing (NLP) tasks. However, existing deep models are mainly designed for the semantic…

计算与语言 · 计算机科学 2019-02-28 Ting Zhang , Bang Liu , Di Niu , Kunfeng Lai , Yu Xu

Graph matching is one of the most significant graph analytic tasks, which aims to find the node correspondence across different graphs. Most existing graph matching approaches mainly rely on topological information, whose performances are…

人工智能 · 计算机科学 2024-10-15 Haoran Cheng , Dixin Luo , Hongteng Xu

A graph $G$ is a pairwise compatibility graph (PCG) if there exists an edge-weighted tree and an interval $I$, such that each leaf of the tree is a vertex of the graph, and there is an edge $\{ x, y \}$ in $G$ if and only if the weight of…

组合数学 · 数学 2024-10-09 Tiziana Calamoneri , Manuel Lafond , Angelo Monti , Blerina Sinaimeri

A graph $G=(V,E)$ is called a pairwise compatibility graph (PCG) if there exists an edge-weighted tree $T$ and two non-negative real numbers $d_{min}$ and $d_{max}$ such that each leaf $u$ of $T$ corresponds to a vertex $u \in V$ and there…

组合数学 · 数学 2022-05-17 Sheikh Azizul Hakim , Bishal Basak Papan , Md. Saidur Rahman

Processing data on multiple interacting graphs is crucial for many applications, but existing approaches rely mostly on discrete filtering or first-order continuous models, dampening high frequencies and slow information propagation. In…

机器学习 · 计算机科学 2025-09-17 Aref Einizade , Fragkiskos D. Malliaros , Jhony H. Giraldo

The graph matching problem emerges naturally in various applications such as web privacy, image processing and computational biology. In this paper, graph matching is considered under a stochastic model, where a pair of randomly generated…

信息论 · 计算机科学 2021-01-27 Farhad Shirani , Siddharth Garg , Elza Erkip

Many tasks in graph machine learning, such as link prediction and node classification, are typically solved by using representation learning, in which each node or edge in the network is encoded via an embedding. Though there exists a lot…

Hypergraph matching has recently become a popular approach for solving correspondence problems in computer vision as it allows to integrate higher-order geometric information. Hypergraph matching can be formulated as a third-order…

计算机视觉与模式识别 · 计算机科学 2016-11-17 Quynh Nguyen , Francesco Tudisco , Antoine Gautier , Matthias Hein

Feature tracking is a common task in visualization applications, where methods based on topological data analysis (TDA) have successfully been applied in the past for feature definition as well as tracking. In this work, we focus on…

图形学 · 计算机科学 2023-08-21 Emma Nilsson , Jonas Lukasczyk , Talha Bin Masood , Christoph Garth , Ingrid Hotz

In graph neural networks (GNNs), message passing iteratively aggregates nodes' information from their direct neighbors while neglecting the sequential nature of multi-hop node connections. Such sequential node connections e.g., metapaths,…

Panoptic Scene Graph (PSG) is a challenging task in Scene Graph Generation (SGG) that aims to create a more comprehensive scene graph representation using panoptic segmentation instead of boxes. Compared to SGG, PSG has several challenging…

计算机视觉与模式识别 · 计算机科学 2024-08-12 Jinghao Wang , Zhengyu Wen , Xiangtai Li , Zujin Guo , Jingkang Yang , Ziwei Liu

Comparing networks is essential for a number of downstream tasks, from clustering to anomaly detection. Despite higher-order interactions being critical for understanding the dynamics of complex systems, traditional approaches for network…

物理与社会 · 物理学 2025-11-03 Helcio Felippe , Alec Kirkley , Federico Battiston

Anomaly detection in high-dimensional time series data is pivotal for numerous industrial applications. Recent advances in multivariate time series anomaly detection (TSAD) have increasingly leveraged graph structures to model…

机器学习 · 计算机科学 2025-09-23 Jiazhen Chen , Mingbin Feng , Tony S. Wirjanto

In this paper we propose a graph-community detection approach to identify cross-document relationships at the topic segment level. Given a set of related documents, we automatically find these relationships by clustering segments with…

计算与语言 · 计算机科学 2016-06-14 Pedro Mota , Maxine Eskenazi , Luisa Coheur

Edge-labeled graphs are widely used to describe relationships between entities in a database. Given a query subgraph that represents an example of what the user is searching for, we study the problem of efficiently searching for similar…

数据库 · 计算机科学 2020-05-12 Zhaoyang Shao , Davood Rafiei , Themis Palpanas

Given a dynamic network, where edges appear and disappear over time, we are interested in finding sets of edges that have similar temporal behavior and form a dense subgraph. Formally, we define the problem as the enumeration of the maximal…

社会与信息网络 · 计算机科学 2021-03-02 Giulia Preti , Polina Rozenshtein , Aristides Gionis , Yannis Velegrakis

Semi-supervised semantic segmentation (SSSS) is vital in computational pathology, where dense annotations are costly and limited. Existing methods often rely on pixel-level consistency, which propagates noisy pseudo-labels and produces…

图像与视频处理 · 电气工程与系统科学 2025-11-14 Ha-Hieu Pham , Minh Le , Han Huynh , Nguyen Quoc Khanh Le , Huy-Hieu Pham