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A large number of applications such as querying sensor networks, and analyzing protein-protein interaction (PPI) networks, rely on mining uncertain graph and hypergraph databases. In this work we study the following problem: given an…

Data Structures and Algorithms · Computer Science 2018-01-11 Charalampos E. Tsourakakis , Shreyas Sekar , Johnson Lam , Liu Yang

Network-valued data are encountered in a wide range of applications and pose challenges in learning due to their complex structure and absence of vertex correspondence. Typical examples of such problems include classification or grouping of…

Machine Learning · Computer Science 2021-11-09 Mahalakshmi Sabanayagam , Leena Chennuru Vankadara , Debarghya Ghoshdastidar

Gaussian graphical models typically assume a homogeneous structure across all subjects, which is often restrictive in applications. In this article, we propose a weighted pseudo-likelihood approach for graphical modeling which allows…

Methodology · Statistics 2023-03-17 Sutanoy Dasgupta , Peng Zhao , Jacob Helwig , Prasenjit Ghosh , Debdeep Pati , Bani K. Mallick

Graphs represent interconnected structures prevalent in a myriad of real-world scenarios. Effective graph analytics, such as graph learning methods, enables users to gain profound insights from graph data, underpinning various tasks…

Machine Learning · Computer Science 2023-08-30 Zemin Liu , Yuan Li , Nan Chen , Qian Wang , Bryan Hooi , Bingsheng He

The graph based approach to multiple testing is an intuitive method that enables a study team to represent clearly, through a directed graph, its priorities for hierarchical testing of multiple hypotheses, and for propagating the available…

Methodology · Statistics 2025-01-07 Cyrus Mehta , Ajoy Mukhopadhyay , Martin Posch

Two-sample tests for multivariate data and non-Euclidean data are widely used in many fields. Parametric tests are mostly restrained to certain types of data that meets the assumptions of the parametric models. In this paper, we study a…

Methodology · Statistics 2018-05-01 Hao Chen , Xu Chen , Yi Su

Sampling is an established technique to scale graph neural networks to large graphs. Current approaches however assume the graphs to be homogeneous in terms of relations and ignore relation types, critically important in biomedical graphs.…

Machine Learning · Computer Science 2021-05-31 Arthur Feeney , Rishabh Gupta , Veronika Thost , Rico Angell , Gayathri Chandu , Yash Adhikari , Tengfei Ma

Recently there has been much interest in graph-based learning, with applications in collaborative filtering for recommender networks, link prediction for social networks and fraud detection. These networks can consist of millions of…

Social and Information Networks · Computer Science 2012-06-26 Purnamrita Sarkar , Andrew Moore

Timely detected anomalies in the chemical technological processes, as well as the earliest detection of the cause of the fault, significantly reduce the production cost in the industrial factories. Data on the state of the technological…

Artificial Intelligence · Computer Science 2022-10-21 Alexander Kovalenko , Vitaliy Pozdnyakov , Ilya Makarov

Stress models are a promising approach for graph drawing. They minimize the weighted sum of the squared errors of the Euclidean and desired distances for each node pair. The desired distance typically uses the graph-theoretic distances…

Data Structures and Algorithms · Computer Science 2024-03-26 Yosuke Onoue

We present the implementation of an algorithm for graph isomorphism testing, based on ideas about number of walks (of sufficiently large length) between vertices. The algorithm is expanded for strongly regular graphs (SRG-s) by testing the…

Combinatorics · Mathematics 2007-05-23 Michal Kaukic

Explainable AI (XAI) in medical histopathology is essential for enhancing the interpretability and clinical trustworthiness of deep learning models in cancer diagnosis. However, the black-box nature of these models often limits their…

Image and Video Processing · Electrical Eng. & Systems 2025-05-06 Raktim Kumar Mondol , Ewan K. A. Millar , Peter H. Graham , Lois Browne , Arcot Sowmya , Erik Meijering

The simulation of the physical movement of multi-body systems at an atomistic level, with forces calculated from a quantum mechanical description of the electrons, motivates a graph partitioning problem studied in this article. Several…

Large-scale multiple testing tasks often exhibit dependence, and leveraging the dependence between individual tests is still one challenging and important problem in statistics. With recent advances in graphical models, it is feasible to…

Methodology · Statistics 2012-10-19 Jie Liu , Chunming Zhang , Catherine McCarty , Peggy Peissig , Elizabeth Burnside , David Page

Transductive graph-based semi-supervised learning methods usually build an undirected graph utilizing both labeled and unlabeled samples as vertices. Those methods propagate label information of labeled samples to neighbors through their…

Machine Learning · Computer Science 2013-12-25 Fengqi Li , Chuang Yu , Nanhai Yang , Feng Xia , Guangming Li , Fatemeh Kaveh-Yazdy

While numerous methods have been proposed for computing distances between probability distributions in Euclidean space, relatively little attention has been given to computing such distances for distributions on graphs. However, there has…

Machine Learning · Computer Science 2023-06-06 Samuel Leone , Aarthi Venkat , Guillaume Huguet , Alexander Tong , Guy Wolf , Smita Krishnaswamy

A Bayesian approach is used to estimate the covariance matrix of Gaussian data. Ideas from Gaussian graphical models and model selection are used to construct a prior for the covariance matrix that is a mixture over all decomposable graphs.…

Methodology · Statistics 2007-06-12 Helen Armstrong , Christopher K. Carter , Kevin F. Wong , Robert Kohn

This paper presents the results of an experimental study of graph partitioning. We describe a new heuristic technique, path optimization, and its application to two variations of graph partitioning: the max_cut problem and the…

Combinatorics · Mathematics 2016-09-06 Jonathan Berry , Mark Goldberg

The computation of distance measures between nodes in graphs is inefficient and does not scale to large graphs. We explore dense vector representations as an effective way to approximate the same information: we introduce a simple yet…

Computation and Language · Computer Science 2019-06-18 Andrey Kutuzov , Mohammad Dorgham , Oleksiy Oliynyk , Chris Biemann , Alexander Panchenko

Identifying the graphical structure underlying the observed multivariate data is essential in numerous applications. Current methodologies are predominantly confined to deducing a singular graph under the presumption that the observed data…

Machine Learning · Statistics 2025-12-16 Bisakh Banerjee , Mohammad Alwardat , Tapabrata Maiti , Selin Aviyente
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