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The use of brain images as markers for diseases or behavioral differences is challenged by the small effects size and the ensuing lack of power, an issue that has incited researchers to rely more systematically on large cohorts. Coupled…

Machine Learning · Statistics 2015-11-17 Bertrand Thirion , Andrés Hoyos-Idrobo , Jonas Kahn , Gael Varoquaux

Subspace clustering refers to the problem of clustering unlabeled high-dimensional data points into a union of low-dimensional linear subspaces, assumed unknown. In practice one may have access to dimensionality-reduced observations of the…

Information Theory · Computer Science 2014-04-29 Reinhard Heckel , Michael Tschannen , Helmut Bölcskei

Clustering methods with dimension reduction have been receiving considerable wide interest in statistics lately and a lot of methods to simultaneously perform clustering and dimension reduction have been proposed. This work presents a novel…

Methodology · Statistics 2014-06-17 Michio Yamamoto , Kenichi Hayashi

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

Datasets in high-dimension do not typically form clusters in their original space; the issue is worse when the number of points in the dataset is small. We propose a low-computation method to find statistically significant clustering…

Machine Learning · Statistics 2020-08-24 Alden Bradford , Tarun Yellamraju , Mireille Boutin

When faced with new data, we often conduct a cluster analysis to obtain a better understanding of the data's structure and the archetypical samples present in the data. This process often includes visualization of the data, either as a way…

Applications · Statistics 2026-04-06 Justin Lin , Julia Fukuyama

DNA storage technology offers new possibilities for addressing massive data storage due to its high storage density, long-term preservation, low maintenance cost, and compact size. To improve the reliability of stored information, base…

Machine Learning · Computer Science 2024-09-24 Bowen Liu , Jiankun Li

We introduce usage of a reduction property of penalty-based formulation of pseudo-Boolean polynomials as a mechanism for invariant dimensionality reduction in cluster analysis processes. In our experiments, we show that multidimensional…

Information Retrieval · Computer Science 2023-08-31 Tendai Mapungwana Chikake , Boris Goldengorin

Multidimensional scaling is an important dimension reduction tool in statistics and machine learning. Yet few theoretical results characterizing its statistical performance exist, not to mention any in high dimensions. By considering a…

Methodology · Statistics 2022-03-30 Xiucai Ding , Qiang Sun

While traditional research on text clustering has largely focused on grouping documents by topic, it is conceivable that a user may want to cluster documents along other dimensions, such as the authors mood, gender, age, or sentiment.…

Information Retrieval · Computer Science 2014-01-22 Sajib Dasgupta , Vincent Ng

In machine learning and data mining, Cluster analysis is one of the most widely used unsupervised learning technique. Philosophy of this algorithm is to find similar data items and group them together based on any distance function in…

Machine Learning · Statistics 2018-10-09 Kumarjit Pathak , Jitin Kapila

Dimensionality Reduction (DR) techniques can generate 2D projections and enable visual exploration of cluster structures of high-dimensional datasets. However, different DR techniques would yield various patterns, which significantly affect…

Human-Computer Interaction · Computer Science 2021-10-07 Jiazhi Xia , Yuchen Zhang , Jie Song , Yang Chen , Yunhai Wang , Shixia Liu

Currently, data-driven discovery in biological sciences resides in finding segmentation strategies in multivariate data that produce sensible descriptions of the data. Clustering is but one of several approaches and sometimes falls short…

Quantitative Methods · Quantitative Biology 2022-08-12 Richard Tjörnhammar

Viral mutations pose significant threats to public health by increasing infectivity, strengthening vaccine resistance, and altering disease severity. To track these evolving patterns, agencies like the CDC annually evaluate thousands of…

Populations and Evolution · Quantitative Biology 2025-04-07 Emilee Walden , Jiahui Chen , Guo-Wei Wei

Data are not only ubiquitous in society, but are increasingly complex both in size and dimensionality. Dimension reduction offers researchers and scholars the ability to make such complex, high dimensional data spaces simpler and more…

Machine Learning · Computer Science 2021-03-15 Philip D. Waggoner

Dimensionality reduction is used as an important tool for unraveling the complexities of high-dimensional datasets in many fields of science, such as cell biology, chemical informatics, and physics. Visualizations of the dimensionally…

Human-Computer Interaction · Computer Science 2025-07-16 Dylan Cashman , Mark Keller , Hyeon Jeon , Bum Chul Kwon , Qianwen Wang

We study the topic of dimensionality reduction for $k$-means clustering. Dimensionality reduction encompasses the union of two approaches: \emph{feature selection} and \emph{feature extraction}. A feature selection based algorithm for…

Data Structures and Algorithms · Computer Science 2015-03-19 Christos Boutsidis , Anastasios Zouzias , Michael W. Mahoney , Petros Drineas

One of the challenges in analyzing high-dimensional expression data is the detection of important biological signals. A common approach is to apply a dimension reduction method, such as principal component analysis. Typically, after…

Quantitative Methods · Quantitative Biology 2012-06-05 Andreas Lehrmann , Michael Huber , Aydin C. Polatkan , Albert Pritzkau , Kay Nieselt

Sharpened dimensionality reduction (SDR), which belongs to the class of multidimensional projection techniques, has recently been introduced to tackle the challenges in the exploratory and visual analysis of high-dimensional data. SDR has…

Computer Vision and Pattern Recognition · Computer Science 2022-02-24 Jeewon Heo , Youngjoo Kim , Jos B. T. M. Roerdink

One of the goals of NASA funded project at IBM T. J. Watson Research Center was to build an index for similarity searching satellite images, which were characterized by high-dimensional feature image texture vectors. Reviewed is our effort…

Databases · Computer Science 2024-01-08 Alexander Thomasian