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Graph similarity learning, crucial for tasks such as graph classification and similarity search, focuses on measuring the similarity between two graph-structured entities. The core challenge in this field is effectively managing the…

信息检索 · 计算机科学 2025-02-26 Zenghui Chang , Yiqiao Zhang , Hong Cai Chen

Random graph matching refers to recovering the underlying vertex correspondence between two random graphs with correlated edges; a prominent example is when the two random graphs are given by Erd\H{o}s-R\'{e}nyi graphs $G(n,\frac{d}{n})$.…

机器学习 · 统计学 2020-07-21 Jian Ding , Zongming Ma , Yihong Wu , Jiaming Xu

We introduce a new distributed algorithm for aligning graphs or finding substructures within a given graph. It is based on the cavity method and is used to study the maximum-clique and the graph-alignment problems in random graphs. The…

定量方法 · 定量生物学 2010-04-02 S. Bradde , A. Braunstein , H. Mahmoudi , F. Tria , M. Weigt , R. Zecchina

While graphical models for continuous data (Gaussian graphical models) and discrete data (Ising models) have been extensively studied, there is little work on graphical models linking both continuous and discrete variables (mixed data),…

机器学习 · 统计学 2016-08-22 Jie Cheng , Tianxi Li , Elizaveta Levina , Ji Zhu

In this work, we study the utility of graph embeddings to generate latent user representations for trust-based collaborative filtering. In a cold-start setting, on three publicly available datasets, we evaluate approaches from four method…

社会与信息网络 · 计算机科学 2021-02-02 Tomislav Duricic , Hussain Hussain , Emanuel Lacic , Dominik Kowald , Denis Helic , Elisabeth Lex

In this paper, we study the problem of graph similarity search with graph edit distance (GED) constraints. Due to the NP-hardness of GED computation, existing solutions to this problem adopt the filtering-and-verification framework with a…

数据库 · 计算机科学 2020-04-03 Jongik Kim

As massive graphs become more prevalent, there is a rapidly growing need for scalable algorithms that solve classical graph problems, such as maximum matching and minimum vertex cover, on large datasets. For massive inputs, several…

数据结构与算法 · 计算机科学 2018-12-31 Sepehr Assadi , MohammadHossein Bateni , Aaron Bernstein , Vahab Mirrokni , Cliff Stein

The graph matching problem aims to discover a latent correspondence between the vertex sets of two observed graphs. This problem has proven to be quite challenging, with few satisfying methods that are computationally tractable and widely…

统计计算 · 统计学 2018-07-26 Fei Fang , Daniel L. Sussman , Vince Lyzinski

Graph matching aims to establish correspondences between vertices of graphs such that both the node and edge attributes agree. Various learning-based methods were recently proposed for finding correspondences between image key points based…

计算机视觉与模式识别 · 计算机科学 2022-05-10 Zhenzhang Ye , Tarun Yenamandra , Florian Bernard , Daniel Cremers

Subgraph matching is a fundamental problem in graph analysis with a wide range of applications. However, due to its inherent NP-hardness, enumerating subgraph matches efficiently on large real-world graphs remains highly challenging. Most…

数据库 · 计算机科学 2026-03-11 Linglin Yang , Xunbin Su , Lei Zou , Xiangyang Gou , Yinnian Lin

Graphs are powerful abstractions for capturing complex relationships in diverse application settings. An active area of research focuses on theoretical models that define the generative mechanism of a graph. Yet given the complexity and…

社会与信息网络 · 计算机科学 2016-09-19 Rajmonda S. Caceres , Leah Weiner , Matthew C. Schmidt , Benjamin A. Miller , William M. Campbell

Fabricating experimental pictures in research work is a serious academic misconduct, which should better be detected in the reviewing process. However, due to large number of submissions, the detection whether a picture is fabricated or…

计算机视觉与模式识别 · 计算机科学 2020-02-11 Binrui Shen , Qiang Niu , Shengxin Zhu

One of the major challenges in applications related to social networks, computational biology, collaboration networks etc., is to efficiently search for similar patterns in their underlying graphs. These graphs are typically noisy and…

社会与信息网络 · 计算机科学 2015-12-17 Kanigalpula Samanvi , Naveen Sivadasan

The analysis of large collections of image data is still a challenging problem due to the difficulty of capturing the true concepts in visual data. The similarity between images could be computed using different and possibly multimodal…

信息检索 · 计算机科学 2017-03-07 Renata Khasanova , Xiaowen Dong , Pascal Frossard

Graphs are mathematical tools that can be used to represent complex real-world interconnected systems, such as financial markets and social networks. Hence, machine learning (ML) over graphs has attracted significant attention recently.…

机器学习 · 计算机科学 2023-10-24 O. Deniz Kose , Yanning Shen , Gonzalo Mateos

We reduce the problem of finding an augmenting path in a general graph to a reachability problem in a directed bipartite graph. A slight modification of depth-first search leads to an algorithm for finding such paths. Although this setting…

数据结构与算法 · 计算机科学 2015-09-17 Norbert Blum

We consider the problem of graph matchability in non-identically distributed networks. In a general class of edge-independent networks, we demonstrate that graph matchability can be lost with high probability when matching the networks…

统计理论 · 数学 2019-03-22 Vince Lyzinski , Daniel L. Sussman

Heterogeneous graphs are ubiquitous in real-world applications because they can represent various relationships between different types of entities. Therefore, learning embeddings in such graphs is a critical problem in graph machine…

机器学习 · 计算机科学 2024-04-02 Yue Zhang , Yuntian He , Saket Gurukar , Srinivasan Parthasarathy

In this paper we propose a global optimization-based approach to jointly matching a set of images. The estimated correspondences simultaneously maximize pairwise feature affinities and cycle consistency across multiple images. Unlike…

计算机视觉与模式识别 · 计算机科学 2015-12-03 Xiaowei Zhou , Menglong Zhu , Kostas Daniilidis

We derive new results for the performance of a simple greedy algorithm for finding large independent sets and matchings in constant degree regular graphs. We show that for $r$-regular graphs with $n$ nodes and girth at least $g$, the…

离散数学 · 计算机科学 2008-07-09 David Gamarnik , David Goldberg