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Graphics play a crucial role in statistical analysis and data mining. This paper describes metrics developed to assist the use of lineups for making inferential statements. Lineups embed the plot of the data among a set of null plots, and…

Applications · Statistics 2014-08-11 Niladri Roy Chowdhury , Dianne Cook , Heike Hofmann , Mahbubul Majumder , Yifan Zhao

We study the problem of graph clustering under a broad class of objectives in which the quality of a cluster is defined based on the ratio between the number of edges in the cluster, and the total weight of vertices in the cluster. We show…

Data Structures and Algorithms · Computer Science 2023-01-02 Jakub Łącki , Vahab Mirrokni , Christian Sohler

Dynamic graph theory is a novel, growing area that deals with graphs that change over time and is of great utility in modelling modern wireless, mobile and dynamic environments. As a graph evolves, possibly arbitrarily, it is challenging to…

Computational Complexity · Computer Science 2012-05-28 Bernard Mans , Luke Mathieson

We propose a learning paradigm for numerical approximation of differential invariants of planar curves. Deep neural-networks' (DNNs) universal approximation properties are utilized to estimate geometric measures. The proposed framework is…

Computer Vision and Pattern Recognition · Computer Science 2022-02-15 Roy Velich , Ron Kimmel

Graphs naturally appear in several real-world contexts including social networks, the web network, and telecommunication networks. While the analysis and the understanding of graph structures have been a central area of study in algorithm…

Data Structures and Algorithms · Computer Science 2019-09-17 Gramoz Goranci

Ultrasound imaging has been improving, but continues to suffer from inherent artifacts that are challenging to model, such as attenuation, shadowing, diffraction, speckle, etc. These artifacts can potentially confuse image analysis…

Image and Video Processing · Electrical Eng. & Systems 2022-03-10 Alex Ling Yu Hung , Wanwen Chen , John Galeotti

Graph distance metric learning serves as the foundation for many graph learning problems, e.g., graph clustering, graph classification and graph matching. Existing research works on graph distance metric (or graph kernels) learning fail to…

Machine Learning · Computer Science 2020-02-11 Jiawei Zhang

The space of graphs is often characterised by a non-trivial geometry, which complicates learning and inference in practical applications. A common approach is to use embedding techniques to represent graphs as points in a conventional…

Machine Learning · Statistics 2024-03-26 Daniele Grattarola , Daniele Zambon , Cesare Alippi , Lorenzo Livi

We present a new measure, CMetric, to classify driver behaviors using centrality functions. Our formulation combines concepts from computational graph theory and social traffic psychology to quantify and classify the behavior of human…

Robotics · Computer Science 2020-08-07 Rohan Chandra , Uttaran Bhattacharya , Trisha Mittal , Aniket Bera , Dinesh Manocha

We develop a new density-based clustering algorithm named CRAD which is based on a new neighbor searching function with a robust data depth as the dissimilarity measure. Our experiments prove that the new CRAD is highly competitive at…

Computation · Statistics 2019-04-09 Xin Huang , Yulia R. Gel

Conformal prediction has become increasingly popular for quantifying the uncertainty associated with machine learning models. Recent work in graph uncertainty quantification has built upon this approach for conformal graph prediction. The…

Machine Learning · Computer Science 2025-05-21 Pranav Maneriker , Aditya T. Vadlamani , Anutam Srinivasan , Yuntian He , Ali Payani , Srinivasan Parthasarathy

Existing performance measures rank delineation algorithms inconsistently, which makes it difficult to decide which one is best in any given situation. We show that these inconsistencies stem from design flaws that make the metrics…

Computer Vision and Pattern Recognition · Computer Science 2019-12-02 Leonardo Citraro , Mateusz Koziński , Pascal Fua

This paper studies faithful explanations for Graph Neural Networks (GNNs). First, we provide a new and general method for formally characterizing the faithfulness of explanations for GNNs. It applies to existing explanation methods,…

Machine Learning · Computer Science 2022-05-25 Zifan Wang , Yuhang Yao , Chaoran Zhang , Han Zhang , Youjie Kang , Carlee Joe-Wong , Matt Fredrikson , Anupam Datta

Machine learning and data mining techniques have been used extensively in order to detect credit card frauds. However purchase behaviour and fraudster strategies may change over time. This phenomenon is named dataset shift or concept drift…

How can we find meaningful clusters in a graph robustly against noise edges? Graph clustering (i.e., dividing nodes into groups of similar ones) is a fundamental problem in graph analysis with applications in various fields. Recent studies…

Machine Learning · Computer Science 2023-11-09 Hyeonsoo Jo , Fanchen Bu , Kijung Shin

For many graph-related problems, it can be essential to have a set of structurally diverse graphs. For instance, such graphs can be used for testing graph algorithms or their neural approximations. However, to the best of our knowledge, the…

Machine Learning · Computer Science 2024-12-13 Fedor Velikonivtsev , Mikhail Mironov , Liudmila Prokhorenkova

Embedding large graphs in low dimensional spaces has recently attracted significant interest due to its wide applications such as graph visualization, link prediction and node classification. Existing methods focus on computing the…

Social and Information Networks · Computer Science 2018-05-30 Palash Goyal , Nitin Kamra , Xinran He , Yan Liu

Graph neural networks (GNNs) have emerged as a versatile and efficient option for modeling the dynamic behavior of deformable materials. While GNNs generalize readily to arbitrary shapes, mesh topologies, and material parameters, existing…

Machine Learning · Computer Science 2026-04-30 Jiahong Wang , Logan Numerow , Stelian Coros , Christian Theobalt , Vahid Babaei , Bernhard Thomaszewski

This paper presents a spectral framework for quantifying the differentiation between graph data samples by introducing a novel metric named Graph Geodesic Distance (GGD). For two different graphs with the same number of nodes, our framework…

Machine Learning · Computer Science 2025-08-18 Soumen Sikder Shuvo , Ali Aghdaei , Zhuo Feng

We develop a framework for applying treewidth-based dynamic programming on graphs with "hybrid structure", i.e., with parts that may not have small treewidth but instead possess other structural properties. Informally, this is achieved by…

Data Structures and Algorithms · Computer Science 2019-08-28 Eduard Eiben , Robert Ganian , Thekla Hamm , O-joung Kwon