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Scientists in many fields have the common and basic need of dimensionality reduction: visualizing the underlying structure of the massive multivariate data in a low-dimensional space. However, many dimensionality reduction methods confront…

Machine Learning · Statistics 2015-03-19 Teng Qiu , Yongjie Li

Ranking or assessing centrality in multivariate and non-Euclidean data is difficult because there is no canonical order and many depth notions become computationally fragile in high-dimensional or structured settings. We introduce a…

Methodology · Statistics 2026-02-24 Lingfeng Lyu , Doudou Zhou

Information visualization is essential in making sense out of large data sets. Often, high-dimensional data are visualized as a collection of points in 2-dimensional space through dimensionality reduction techniques. However, these…

Computational Geometry · Computer Science 2009-07-16 Emden R. Gansner , Yifan Hu , Stephen G. Kobourov

We propose a measure to compute class similarity in large-scale classification based on prediction scores. Such measure has not been formally pro-posed in the literature. We show how visualizing the class similarity matrix can reveal…

Computer Vision and Pattern Recognition · Computer Science 2020-07-21 Bilal Alsallakh , Zhixin Yan , Shabnam Ghaffarzadegan , Zeng Dai , Liu Ren

Modern graph or network datasets often contain rich structure that goes beyond simple pairwise connections between nodes. This calls for complex representations that can capture, for instance, edges of different types as well as so-called…

Social and Information Networks · Computer Science 2020-02-19 Ilya Amburg , Nate Veldt , Austin R. Benson

In this paper, we investigate the use of an unsupervised label clustering technique and demonstrate that it enables substantial improvements in visual relationship prediction accuracy on the Person in Context (PIC) dataset. We propose to…

Computer Vision and Pattern Recognition · Computer Science 2018-09-11 Hsuan-Kung Yang , An-Chieh Cheng , Kuan-Wei Ho , Tsu-Jui Fu , Chun-Yi Lee

This work approaches the multidimensional scaling problem from a novel angle. We introduce a scalable method based on the h-plot, which inherently accommodates asymmetric proximity data. Instead of embedding the objects themselves, the…

Applications · Statistics 2026-01-12 Aleix Alcacer , Irene Epifanio

Datasets containing both categorical and continuous variables are frequently encountered in many areas, and with the rapid development of modern measurement technologies, the dimensions of these variables can be very high. Despite the…

Methodology · Statistics 2024-01-03 Binyan Jiang , Chenlei Leng , Cheng Wang , Zhongqing Yang , Xinyang Yu

Many methods have been developed for data clustering, such as k-means, expectation maximization and algorithms based on graph theory. In this latter case, graphs are generally constructed by taking into account the Euclidian distance as a…

Data Analysis, Statistics and Probability · Physics 2011-01-27 Francisco A. Rodrigues , Guilherme Ferraz de Arruda , Luciano da Fontoura Costa

Hierarchical categorical variables often exhibit many levels (high granularity) and many classes within each level (high dimensionality). This may cause overfitting and estimation issues when including such covariates in a predictive model.…

Methodology · Statistics 2024-08-20 Paul Wilsens , Katrien Antonio , Gerda Claeskens

Building successful recommender systems requires uncovering the underlying dimensions that describe the properties of items as well as users' preferences toward them. In domains like clothing recommendation, explaining users' preferences…

Information Retrieval · Computer Science 2016-04-21 Ruining He , Chunbin Lin , Jianguo Wang , Julian McAuley

Image classification is a fundamental computer vision task and an important baseline for deep metric learning. In decades efforts have been made on enhancing image classification accuracy by using deep learning models while less attention…

Computer Vision and Pattern Recognition · Computer Science 2025-01-14 Yunfeng Zhao , Huiyu Zhou , Fei Wu , Xifeng Wu

As the rate of data collection continues to grow rapidly, developing visualization tools that scale to immense data sets is a serious and ever-increasing challenge. Existing approaches generally seek to decouple storage and visualization…

Databases · Computer Science 2021-06-24 Sam Kumar , Michael P Andersen , David E. Culler

Visualizations of tabular data are widely used; understanding their effectiveness in different task and data contexts is fundamental to scaling their impact. However, little is known about how basic tabular data visualizations perform…

Human-Computer Interaction · Computer Science 2018-04-25 Bahador Saket , Alex Endert , Cagatay Demiralp

Most Machine Learning (ML) methods, from clustering to classification, rely on a distance function to describe relationships between datapoints. For complex datasets it is hard to avoid making some arbitrary choices when defining a distance…

Machine Learning · Statistics 2016-07-04 Gina Gruenhage , Manfred Opper , Simon Barthelme

In multiclass classification of multidimensional data, the user wants to build a model of the classes to predict the label of unseen data. The model is trained on the data and tested on unseen data with known labels to evaluate its quality.…

Human-Computer Interaction · Computer Science 2022-02-01 Michael Aupetit , Ahmed Ali

A hierarchical scheme for clustering data is presented which applies to spaces with a high number of dimension ($N_{_{D}}>3$). The data set is first reduced to a smaller set of partitions (multi-dimensional bins). Multiple clustering…

Data Analysis, Statistics and Probability · Physics 2017-10-16 Kevin McIlhany , Stephen Wiggins

We present angle-uniform parallel coordinates, a data-independent technique that deforms the image plane of parallel coordinates so that the angles of linear relationships between two variables are linearly mapped along the horizontal axis…

Graphics · Computer Science 2023-04-12 Kaiyi Zhang , Liang Zhou , Lu Chen , Shitong He , Daniel Weiskopf , Yunhai Wang

Measuring similarity between complex objects is a fundamental task in many scientific fields. When objects are represented as graphs, graph similarity/distance measures offer a powerful framework for quantifying structural resemblance.…

Combinatorics · Mathematics 2025-09-30 Matthias Dehmer , Izudin Redžepović , Niko Tratnik , Petra Žigert Pleteršek

Classification is a major tool of statistics and machine learning. A classification method first processes a training set of objects with given classes (labels), with the goal of afterward assigning new objects to one of these classes. When…

Machine Learning · Statistics 2024-07-08 Jakob Raymaekers , Peter J. Rousseeuw , Mia Hubert