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Dimensionality reduction (DR) techniques have been consistently supporting high-dimensional data analysis in various applications. Besides the patterns uncovered by these techniques, the interpretation of DR results based on each feature's…

Machine Learning · Computer Science 2021-03-11 Wilson Estécio Marcílio Júnior , Danilo Medeiros Eler

Uniform Manifold Approximation and Projection (UMAP) is a widely used manifold learning technique for dimensionality reduction. This paper studies UMAP, supervised UMAP, and several competing dimensionality reduction methods, including…

Machine Learning · Computer Science 2026-05-04 Guanzhe Zhang , Shanshan Ding , Zhezhen Jin

This paper addresses the problem of selecting appearance features for multiple object tracking (MOT) in urban scenes. Over the years, a large number of features has been used for MOT. However, it is not clear whether some of them are better…

Computer Vision and Pattern Recognition · Computer Science 2020-10-16 Mehdi Miah , Justine Pepin , Nicolas Saunier , Guillaume-Alexandre Bilodeau

As regression is a widely studied problem, many methods have been proposed to solve it, each of them often requiring setting different hyper-parameters. Therefore, selecting the proper method for a given application may be very difficult…

Machine Learning · Computer Science 2026-03-23 Nassime Mountasir , Baptiste Lafabregue , Bruno Albert , Nicolas Lachiche

Diffusion Map is a spectral dimensionality reduction technique which is able to uncover nonlinear submanifolds in high-dimensional data. And, it is increasingly applied across a wide range of scientific disciplines, such as biology,…

Machine Learning · Computer Science 2026-01-29 Sönke Beier , Paula Pirker-Díaz , Friedrich Pagenkopf , Karoline Wiesner

We consider detecting objects in an image by iteratively selecting from a set of arbitrarily shaped candidate regions. Our generic approach, which we term visual chunking, reasons about the locations of multiple object instances in an image…

Computer Vision and Pattern Recognition · Computer Science 2015-03-18 Nicholas Rhinehart , Jiaji Zhou , Martial Hebert , J. Andrew Bagnell

A plethora of dimension reduction methods have been developed to visualize high-dimensional data in low dimensions. However, different dimension reduction methods often output different and possibly conflicting visualizations of the same…

Methodology · Statistics 2025-12-19 Bingxue An , Tiffany M. Tang

In recent years, manifold methods have moved into focus as tools for dimension reduction. Assuming that the high-dimensional data actually lie on or close to a low-dimensional nonlinear manifold, these methods have shown convincing results…

Machine Learning · Statistics 2020-12-23 Moritz Herrmann , Fabian Scheipl

Dimensionality reduction (DR) is one of the key tools for the visual exploration of high-dimensional data and uncovering its cluster structure in two- or three-dimensional spaces. The vast majority of DR methods in the literature do not…

Machine Learning · Computer Science 2026-04-28 Stavros Gerolymatos , Xenophon Evangelopoulos , Vladimir Gusev , John Y. Goulermas

Dimensionality reduction has become an important research topic as demand for interpreting high-dimensional datasets has been increasing rapidly in recent years. There have been many dimensionality reduction methods with good performance in…

Machine Learning · Computer Science 2022-12-01 Qiaodan Luo , Leonardo Christino , Fernando V Paulovich , Evangelos Milios

To properly evaluate the performance of 360VR-specific encoding and transmission schemes, and particularly of the solutions based on viewport adaptation, it is necessary to consider not only the bandwidth saved, but also the quality of the…

We introduce a dimension reduction method for visualizing the clustering structure obtained from a finite mixture of Gaussian densities. Information on the dimension reduction subspace is obtained from the variation on group means and,…

Methodology · Statistics 2015-08-10 Luca Scrucca

We propose a novel framework for learning a low-dimensional representation of data based on nonlinear dynamical systems, which we call dynamical dimension reduction (DDR). In the DDR model, each point is evolved via a nonlinear flow towards…

Machine Learning · Statistics 2022-04-19 Ryeongkyung Yoon , Braxton Osting

In this paper, we present a Mirroring Neural Network architecture to perform non-linear dimensionality reduction and Object Recognition using a reduced lowdimensional characteristic vector. In addition to dimensionality reduction, the…

Computer Vision and Pattern Recognition · Computer Science 2008-12-13 Dasika Ratna Deepthi , Sujeet Kuchibhotla , K. Eswaran

Visualizing very large matrices involves many formidable problems. Various popular solutions to these problems involve sampling, clustering, projection, or feature selection to reduce the size and complexity of the original task. An…

Human-Computer Interaction · Computer Science 2022-06-06 Leland Wilkinson , Hengrui Luo

We survey a number of data visualization techniques for analyzing Computer Vision (CV) datasets. These techniques help us understand properties and latent patterns in such data, by applying dataset-level analysis. We present various…

Computer Vision and Pattern Recognition · Computer Science 2022-04-20 Bilal Alsallakh , Pamela Bhattacharya , Vanessa Feng , Narine Kokhlikyan , Orion Reblitz-Richardson , Rahul Rajan , David Yan

This paper proposes a framework for simultaneous dimensionality reduction and regression in the presence of outliers in data by applying low-rank and sparse matrix decomposition. For multivariate data corrupted with outliers, it is…

Signal Processing · Electrical Eng. & Systems 2024-07-10 Farwa Abbas , Hussain Ahmad

Machine learning practitioners often need to compare multiple models to select the best one for their application. However, current methods of comparing models fall short because they rely on aggregate metrics that can be difficult to…

Human-Computer Interaction · Computer Science 2025-02-21 Liudas Panavas , Tarik Crnovrsanin , Racquel Fygenson , Eamon Conway , Derek Millard , Norbou Buchler , Cody Dunne

We propose a new dimensionality reduction toolkit designed to address some of the challenges faced by traditional methods like UMAP and tSNE such as loss of global structure and computational efficiency. Built on the JAX framework, DiRe…

Machine Learning · Computer Science 2025-08-19 Alexander Kolpakov , Igor Rivin

Many dimension reduction techniques have been developed for independent data, and most have also been extended to time series. However, these methods often fail to account for the dynamic dependencies both within and across series. In this…

Methodology · Statistics 2025-09-25 Daniel Peña , Victor J. Yohai