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Originally, tangles were invented as an abstract tool in mathematical graph theory to prove the famous graph minor theorem. In this paper, we showcase the practical potential of tangles in machine learning applications. Given a collection…

Online interpretation and visualization of project data are gaining increasing importance on the long road towards predictable and controllable software project execution. This paper sketches the Sprint I controlling approach for software…

Software Engineering · Computer Science 2014-03-17 Jürgen Münch , Jens Heidrich

The unsupervised learning of community structure, in particular the partitioning vertices into clusters or communities, is a canonical and well-studied problem in exploratory graph analysis. However, like most graph analyses the…

Machine Learning · Computer Science 2020-07-27 Benjamin W. Priest , Alec Dunton , Geoffrey Sanders

Scatterplots are a common tool for exploring multidimensional datasets, especially in the form of scatterplot matrices (SPLOMs). However, scatterplots suffer from overplotting when categorical variables are mapped to one or two axes, or the…

Human-Computer Interaction · Computer Science 2025-11-18 Deokgun Park , Sung-Hee Kim , Niklas Elmqvist

Cluster interpretation after dimensionality reduction (DR) is a ubiquitous part of exploring multidimensional datasets. DR results are frequently represented by scatterplots, where spatial proximity encodes similarity among data samples. In…

Human-Computer Interaction · Computer Science 2021-08-18 Wilson E. Marcílio-Jr , Danilo M. Eler , Rogério E. Garcia

The curve-based lane representation is a popular approach in many lane detection methods, as it allows for the representation of lanes as a whole object and maximizes the use of holistic information about the lanes. However, the curves…

Computer Vision and Pattern Recognition · Computer Science 2023-09-20 Wencheng Han , Jianbing Shen

This paper presents a comprehensive study of interactive rendering techniques for large 3D line sets with transparency. The rendering of transparent lines is widely used for visualizing trajectories of tracer particles in flow fields.…

Graphics · Computer Science 2020-08-03 Michael Kern , Christoph Neuhauser , Torben Maack , Mengjiao Han , Will Usher , Rüdiger Westermann

Traditionally, graph quality metrics focus on readability, but recent studies show the need for metrics which are more specific to the discovery of patterns in graphs. Cluster analysis is a popular task within graph analysis, yet there is…

Data Structures and Algorithms · Computer Science 2019-08-22 Amyra Meidiana , Seok-Hee Hong , Peter Eades , Daniel Keim

Unsupervised clustering of curves according to their shapes is an important problem with broad scientific applications. The existing model-based clustering techniques either rely on simple probability models (e.g., Gaussian) that are not…

Machine Learning · Statistics 2015-04-03 Zhengwu Zhang , Debdeep Pati , Anuj Srivastava

With the recent popularity of graphical clustering methods, there has been an increased focus on the information between samples. We show how learning cluster structure using edge features naturally and simultaneously determines the most…

Machine Learning · Statistics 2016-05-09 Matt Barnes , Artur Dubrawski

In the era of pre-trained models, image clustering task is usually addressed by two relevant stages: a) to produce features from pre-trained vision models; and b) to find clusters from the pre-trained features. However, these two stages are…

Computer Vision and Pattern Recognition · Computer Science 2025-01-09 W. He , Z. Huang , X. Meng , X. Qi , R. Xiao , C. -G. Li

Properties of a parametric curve in R^3 are often determined by analysis of its piecewise linear (PL) approximation. For Bezier curves, there are standard algorithms, known as subdivision, that recursively create PL curves that converge to…

Geometric Topology · Mathematics 2012-10-10 J. Li , T. J. Peters , J. A. Roulier

Neighbor Embedding (NE) aims to preserve pairwise similarities between data items and has been shown to yield an effective principle for data visualization. However, even the best existing NE methods such as Stochastic Neighbor Embedding…

Machine Learning · Computer Science 2021-09-15 Zhirong Yang , Yuwei Chen , Denis Sedov , Samuel Kaski , Jukka Corander

Reliable knowledge of road boundaries is critical for autonomous vehicle navigation. We propose a robust curb detection and filtering technique based on the fusion of camera semantics and dense lidar point clouds. The lidar point clouds are…

Computer Vision and Pattern Recognition · Computer Science 2022-05-17 Sandipan Das , Navid Mahabadi , Saikat Chatterjee , Maurice Fallon

Given a similarity graph between items, correlation clustering (CC) groups similar items together and dissimilar ones apart. One of the most popular CC algorithms is KwikCluster: an algorithm that serially clusters neighborhoods of…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-07-21 Xinghao Pan , Dimitris Papailiopoulos , Samet Oymak , Benjamin Recht , Kannan Ramchandran , Michael I. Jordan

Graphs are commonly used to represent and visualize causal relations. For a small number of variables, this approach provides a succinct and clear view of the scenario at hand. As the number of variables under study increases, the graphical…

Machine Learning · Statistics 2023-08-16 Santtu Tikka , Jouni Helske , Juha Karvanen

Clustering multivariate time series data is a crucial task in many domains, as it enables the identification of meaningful patterns and groups in time-evolving data. Traditional approaches, such as crisp clustering, rely on the assumption…

Methodology · Statistics 2025-09-05 Ziling Ma , Ángel López-Oriona , Hernando Ombao , Ying Sun

In recent years, various means of efficiently detecting changepoints in the univariate setting have been proposed, with one popular approach involving minimising a penalised cost function using dynamic programming. In some situations, these…

Methodology · Statistics 2018-10-09 S. O. Tickle , I. A. Eckley , P. Fearnhead , K. Haynes

Measuring comodules are defined and shown to provide a useful generalization of the set of maps between modules with a broad range of applications. Three applications are described. Connections on bundles are described in terms of measuring…

Differential Geometry · Mathematics 2007-05-23 Marjorie Batchelor

Point cloud segmentation is fundamental in understanding 3D environments. However, current 3D point cloud segmentation methods usually perform poorly on scene boundaries, which degenerates the overall segmentation performance. In this…

Computer Vision and Pattern Recognition · Computer Science 2022-03-14 Liyao Tang , Yibing Zhan , Zhe Chen , Baosheng Yu , Dacheng Tao