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Finding a suitable data representation for a specific task has been shown to be crucial in many applications. The success of subspace clustering depends on the assumption that the data can be separated into different subspaces. However,…

Computer Vision and Pattern Recognition · Computer Science 2021-06-21 Zhengrui Ma , Zhao Kang , Guangchun Luo , Ling Tian

We describe and analyze a broad class of mixture models for real-valued multivariate data in which the probability density of observations within each component of the model is represented as an arbitrary combination of basis functions.…

Methodology · Statistics 2025-02-28 M. E. J. Newman

Network clustering requires making many decisions manually, such as the number of groups and a statistical model to be used. Even after filtering using an information criterion or regularizing with a nonparametric framework, we are commonly…

Social and Information Networks · Computer Science 2019-06-05 Chihiro Noguchi , Tatsuro Kawamoto

Interactive exploration of large, multidimensional datasets plays a very important role in various scientific fields. It makes it possible not only to identify important structural features and forms, such as clusters of vertices and their…

Machine Learning · Computer Science 2023-03-10 Bartosz Minch

We propose a data reduction technique for scattered data based on statistical sampling. Our void-and-cluster sampling technique finds a representative subset that is optimally distributed in the spatial domain with respect to the blue noise…

Graphics · Computer Science 2019-10-08 Tobias Rapp , Christoph Peters , Carsten Dachsbacher

Breaking news and first-hand reports often trend on social media platforms before traditional news outlets cover them. The real-time analysis of posts on such platforms can reveal valuable and timely insights for journalists, politicians,…

Human-Computer Interaction · Computer Science 2021-08-09 Johannes Knittel , Steffen Koch , Tan Tang , Wei Chen , Yingcai Wu , Shixia Liu , Thomas Ertl

Clustering in high-dimensional spaces is a difficult problem which is recurrent in many domains, for example in image analysis. The difficulty is due to the fact that high-dimensional data usually live in different low-dimensional subspaces…

Statistics Theory · Mathematics 2016-08-16 Charles Bouveyron , Stéphane Girard , Cordelia Schmid

Dimensionality reduction and clustering techniques are frequently used to analyze complex data sets, but their results are often not easy to interpret. We consider how to support users in interpreting apparent cluster structure on scatter…

Machine Learning · Computer Science 2021-11-08 Xander Vankwikelberge , Bo Kang , Edith Heiter , Jefrey Lijffijt

In this study, we explore the challenge of efficiently representing scenes with a constrained number of Gaussians. Our analysis shifts from traditional graphics and 2D computer vision to the perspective of point clouds, highlighting the…

Computer Vision and Pattern Recognition · Computer Science 2024-10-17 Guangchi Fang , Bing Wang

When solving ill-posed inverse problems, one often desires to explore the space of potential solutions rather than be presented with a single plausible reconstruction. Valuable insights into these feasible solutions and their associated…

Computer Vision and Pattern Recognition · Computer Science 2024-05-27 Elias Nehme , Rotem Mulayoff , Tomer Michaeli

Interactive visualizations are crucial in ad hoc data exploration and analysis. However, with the growing number of massive datasets, generating visualizations in interactive timescales is increasingly challenging. One approach for…

Databases · Computer Science 2017-01-25 Yongjoo Park , Michael Cafarella , Barzan Mozafari

In exploratory tasks involving high-dimensional datasets, dimensionality reduction (DR) techniques help analysts to discover patterns and other useful information. Although scatter plot representations of DR results allow for cluster…

Visualizations support rapid analysis of scientific datasets, allowing viewers to glean aggregate information (e.g., the mean) within split-seconds. While prior research has explored this ability in conventional charts, it is unclear if…

Human-Computer Interaction · Computer Science 2024-06-21 Victor A. Mateevitsi , Michael E. Papka , Khairi Reda

Understanding and comparing distributions of data (e.g., regarding their modes, shapes, or outliers) is a common challenge in many scientific disciplines. Typically, this challenge is addressed using side-by-side comparisons of histograms…

Human-Computer Interaction · Computer Science 2022-09-07 Anja Heim , Eduard Gröller , Christoph Heinzl

Creating low dimensional representations of a high dimensional data set is an important component in many machine learning applications. How to cluster data using their low dimensional embedded space is still a challenging problem in…

Machine Learning · Computer Science 2023-03-27 Zahra Moslehi , Abdolreza Mirzaei , Mehran Safayani

Clustering task of mixed data is a challenging problem. In a probabilistic framework, the main difficulty is due to a shortage of conventional distributions for such data. In this paper, we propose to achieve the mixed data clustering with…

Methodology · Statistics 2015-10-01 Matthieu Marbac , Christophe Biernacki , Vincent Vandewalle

We propose a computationally simple framework for clustering functional data based on Gaussian-process-generated random projections. In this approach, each curve is first projected onto a large collection of independent Gaussian process…

Methodology · Statistics 2026-05-22 Sourav Chakrabarty , Anirvan Chakraborty , Shyamal K. De

We present a general approach to visualizing uncertainty in static 2-D statistical graphics. If we treat a visualization as a function of its underlying quantities, uncertainty in those quantities induces a distribution over images. We show…

Methodology · Statistics 2025-12-10 Bernarda Petek , David Nabergoj , Erik Štrumbelj

Data analysis in high-dimensional spaces aims at obtaining a synthetic description of a data set, revealing its main structure and its salient features. We here introduce an approach providing this description in the form of a topography of…

Machine Learning · Statistics 2021-03-02 Maria d'Errico , Elena Facco , Alessandro Laio , Alex Rodriguez

We propose a mixture of latent trait models with common slope parameters (MCLT) for model-based clustering of high-dimensional binary data, a data type for which few established methods exist. Recent work on clustering of binary data, based…

Methodology · Statistics 2017-10-09 Yang Tang , Ryan P. Browne , Paul D. McNicholas