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There are many distance-based methods for classification and clustering, and for data with a high number of dimensions and a lower number of observations, processing distances is computationally advantageous compared to the raw data matrix.…

Methodology · Statistics 2020-06-25 Christian Hennig

In many applications involving multi-media data, the definition of similarity between items is integral to several key tasks, e.g., nearest-neighbor retrieval, classification, and recommendation. Data in such regimes typically exhibits…

Artificial Intelligence · Computer Science 2010-09-01 Brian McFee , Gert Lanckriet

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

Deriving insights from high-dimensional data is one of the core problems in data mining. The difficulty mainly stems from the fact that there are exponentially many variable combinations to potentially consider, and there are infinitely…

Machine Learning · Statistics 2021-11-08 Jefrey Lijffijt , Bo Kang , Wouter Duivesteijn , Kai Puolamäki , Emilia Oikarinen , Tijl De Bie

With the explosive growth of multi-source data, multi-view clustering has attracted great attention in recent years. Most existing multi-view methods operate in raw feature space and heavily depend on the quality of original feature…

Machine Learning · Computer Science 2022-05-20 Liang Liu , Peng Chen , Guangchun Luo , Zhao Kang , Yonggang Luo , Sanchu Han

Visualization of multidimensional, categorical data is a common challenge across scientific areas and, in particular, the life sciences. The goal is to create a comprehensive overview of the underlying data which allows to assess multiple…

Quantitative Methods · Quantitative Biology 2025-06-19 Matthias Flotho , Philipp Flotho , Andreas Keller

Meta-learners and ensembles aim to combine a set of relevant yet diverse base models to improve predictive performance. However, determining an appropriate set of base models is challenging, especially in online environments where the…

Machine Learning · Computer Science 2021-11-30 Helen McKay , Nathan Griffiths , Phillip Taylor

Recent works on Hierarchical Clustering (HC), a well-studied problem in exploratory data analysis, have focused on optimizing various objective functions for this problem under arbitrary similarity measures. In this paper we take the first…

Data Structures and Algorithms · Computer Science 2018-12-31 Moses Charikar , Vaggos Chatziafratis , Rad Niazadeh , Grigory Yaroslavtsev

High-dimensional big data appears in many research fields such as image recognition, biology and collaborative filtering. Often, the exploration of such data by classic algorithms is encountered with difficulties due to `curse of…

Machine Learning · Computer Science 2016-07-13 Amit Bermanis , Aviv Rotbart , Moshe Salhov , Amir Averbuch

How to measure the complexity of a finite set of vectors embedded in a multidimensional space? This is a non-trivial question which can be approached in many different ways. Here we suggest a set of data complexity measures using universal…

Machine Learning · Computer Science 2013-01-03 Andrei Zinovyev , Evgeny Mirkes

Identifying meaningful concepts in large data sets can provide valuable insights into engineering design problems. Concept identification aims at identifying non-overlapping groups of design instances that are similar in a joint space of…

Machine Learning · Computer Science 2023-11-15 Felix Lanfermann , Sebastian Schmitt , Patricia Wollstadt

We consider the problem of segmenting a large population of customers into non-overlapping groups with similar preferences, using diverse preference observations such as purchases, ratings, clicks, etc. over subsets of items. We focus on…

Methodology · Statistics 2017-01-27 Srikanth Jagabathula , Lakshminarayanan Subramanian , Ashwin Venkataraman

When processing high-dimensional datasets, a common pre-processing step is feature selection. Filter-based feature selection algorithms are not tailored to a specific classification method, but rather rank the relevance of each feature with…

Machine Learning · Computer Science 2023-03-06 Shir Friedman , Gonen Singer , Neta Rabin

Zooplankton images, like many other real world data types, have intrinsic properties that make the design of effective classification systems difficult. For instance, the number of classes encountered in practical settings is potentially…

Computer Vision and Pattern Recognition · Computer Science 2019-09-26 Ketil Malde , Hyeongji Kim

This paper gives a review and synthesis of methods of evaluating dimensionality reduction techniques. Particular attention is paid to rank-order neighborhood evaluation metrics. A framework is created for exploring dimensionality reduction…

Machine Learning · Computer Science 2019-02-25 Stephen L. France , Ulas Akkucuk

Detecting out-of-distribution inputs for visual recognition models has become critical in safe deep learning. This paper proposes a novel hierarchical visual category modeling scheme to separate out-of-distribution data from in-distribution…

Computer Vision and Pattern Recognition · Computer Science 2024-08-29 Jinglun Li , Xinyu Zhou , Pinxue Guo , Yixuan Sun , Yiwen Huang , Weifeng Ge , Wenqiang Zhang

Clustering is a fundamental approach to understanding data patterns, wherein the intuitive Euclidean distance space is commonly adopted. However, this is not the case for implicit cluster distributions reflected by qualitative attribute…

Machine Learning · Statistics 2026-03-05 Mingjie Zhao , Sen Feng , Yiqun Zhang , Mengke Li , Yang Lu , Yiu-ming Cheung

While there is a rich literature on robust methodologies for contamination in continuously distributed data, contamination in categorical data is largely overlooked. This is regrettable because many datasets are categorical and oftentimes…

Methodology · Statistics 2024-12-13 Max Welz

Parallel coordinates plot is one of the most popular and widely used visualization techniques for multi-dimensional data sets. Its main challenges for large-scale data sets are visual clutter and overplotting which hamper the recognition of…

Computer Vision and Pattern Recognition · Computer Science 2019-06-25 Wenqiang Cui , Girts Strazdins , Hao Wang

Datasets are mathematical objects (e.g., point clouds, matrices, graphs, images, fields/functions) that have shape. This shape encodes important knowledge about the system under study. Topology is an area of mathematics that provides…

Algebraic Topology · Mathematics 2021-09-09 Alexander Smith , Victor Zavala