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The \emph{generalized sorting problem} is a restricted version of standard comparison sorting where we wish to sort $n$ elements but only a subset of pairs are allowed to be compared. Formally, there is some known graph $G = (V, E)$ on the…

Data Structures and Algorithms · Computer Science 2021-11-16 William Kuszmaul , Shyam Narayanan

This paper looks at the task of network topology inference, where the goal is to learn an unknown graph from nodal observations. One of the novelties of the approach put forth is the consideration of prior information about the density of…

Signal Processing · Electrical Eng. & Systems 2022-07-12 Samuel Rey , T. Mitchell Roddenberry , Santiago Segarra , Antonio G. Marques

How to utilize the pseudo labels has always been a research hotspot in machine learning. However, most methods use pseudo labels as supervised training, and lack of valid assessing for their accuracy. Moreover, applications of pseudo labels…

Machine Learning · Computer Science 2023-10-03 Xinjie Shen , Danyang Wu , Jitao Lu , Junjie Liang , Jin Xu , Feiping Nie

Graph matching refers to finding node correspondence between graphs, such that the corresponding node and edge's affinity can be maximized. In addition with its NP-completeness nature, another important challenge is effective modeling of…

Computer Vision and Pattern Recognition · Computer Science 2020-12-01 Runzhong Wang , Junchi Yan , Xiaokang Yang

Knowledge Graph Completion is a task of expanding the knowledge graph/base through estimating possible entities, or proper nouns, that can be connected using a set of predefined relations, or verb/predicates describing interconnections of…

Computation and Language · Computer Science 2021-01-25 Tong Chen , Sirou Zhu , Yiming Wen , Zhaomin Zheng

Finding optimal matchings in dense graphs is of general interest and of particular importance in social, transportation and biological networks. While developing optimal solutions for various matching problems is important, the running…

Data Structures and Algorithms · Computer Science 2020-11-16 Nitish K. Panigrahy , Prithwish Basu , Don Towsley

Graph neural networks (GNNs) and label propagation represent two interrelated modeling strategies designed to exploit graph structure in tasks such as node property prediction. The former is typically based on stacked message-passing layers…

Machine Learning · Computer Science 2021-10-15 Yangkun Wang , Jiarui Jin , Weinan Zhang , Yongyi Yang , Jiuhai Chen , Quan Gan , Yong Yu , Zheng Zhang , Zengfeng Huang , David Wipf

Fitch graphs $G=(X,E)$ are digraphs that are explained by $\{\emptyset, 1\}$-edge-labeled rooted trees $T$ with leaf set $X$: there is an arc $(x,y) \in E$ if and only if the unique path in $T$ that connects the last common ancestor…

Discrete Mathematics · Computer Science 2021-10-19 Marc Hellmuth , Carsten R. Seemann , Peter F. Stadler

A typical way in which network data is recorded is to measure all the interactions among a specified set of core nodes; this produces a graph containing this core together with a potentially larger set of fringe nodes that have links to the…

Social and Information Networks · Computer Science 2018-05-04 Austin R. Benson , Jon Kleinberg

Dense subgraph discovery is a fundamental problem in graph mining with a wide range of applications \cite{gionis2015dense}. Despite a large number of applications ranging from computational neuroscience to social network analysis, that take…

Social and Information Networks · Computer Science 2021-12-08 Tianyi Chen , Francesco Bonchi , David Garcia-Soriano , Atsushi Miyauchi , Charalampos E. Tsourakakis

A recent research direction in data-driven modeling is the identification of dynamic networks, in which measured vertex signals are interconnected by dynamic edges represented by causal linear transfer functions. The major question…

Optimization and Control · Mathematics 2021-02-16 Xiaodong Cheng , Shengling Shi , Paul M. J. Van den Hof

We consider the problem of graph matching for a sequence of graphs generated under a time-dependent Markov chain noise model. Our edgelighter error model, a variant of the classical lamplighter random walk, iteratively corrupts the graph…

Statistics Theory · Mathematics 2026-01-29 Zhirui Li , Keith D. Levin , Zhiang Zhao , Vince Lyzinski

In this paper, we consider the graph alignment problem, which is the problem of recovering, given two graphs, a one-to-one mapping between nodes that maximizes edge overlap. This problem can be viewed as a noisy version of the well-known…

Machine Learning · Statistics 2022-01-14 Georgina Hall , Laurent Massoulié

The Subgraph Matching (SM) problem consists of finding all the embeddings of a given small graph, called the query, into a large graph, called the target. The SM problem has been widely studied for simple graphs, i.e. graphs where there is…

Edge-weighted graphs play an important role in the theory of Robinsonian matrices and similarity theory, particularly via the concept of level graphs, that is, graphs obtained from an edge-weighted graph by removing all sufficiently light…

Uncovering anomalies in attributed networks has recently gained popularity due to its importance in unveiling outliers and flagging adversarial behavior in a gamut of data and network science applications including {the Internet of Things…

Social and Information Networks · Computer Science 2021-04-20 Konstantinos D. Polyzos , Costas Mavromatis , Vassilis N. Ioannidis , Georgios B. Giannakis

Data collected nowadays by social-networking applications create fascinating opportunities for building novel services, as well as expanding our understanding about social structures and their dynamics. Unfortunately, publishing…

Databases · Computer Science 2016-11-11 Paolo Boldi , Francesco Bonchi , Aris Gionis , Tamir Tassa

This paper considers the graph signal processing problem of anomaly detection in time series of graphs. We examine two related, complementary inference tasks: the detection of anomalous graphs within a time series, and the detection of…

Scene graph generation (SGG) is built on top of detected objects to predict object pairwise visual relations for describing the image content abstraction. Existing works have revealed that if the links between objects are given as prior…

Computer Vision and Pattern Recognition · Computer Science 2022-02-23 Yuyu Guo , Lianli Gao , Jingkuan Song , Peng Wang , Nicu Sebe , Heng Tao Shen , Xuelong Li

The graph is one of the most widely used mathematical structures in engineering and science because of its representational power and inherent ability to demonstrate the relationship between objects. The objective of this work is to…

Data Structures and Algorithms · Computer Science 2021-01-01 Shri Prakash Dwivedi