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Classical nonlinear dimensionality reduction (NLDR) techniques like t-SNE, Isomap, and LLE excel at creating low-dimensional embeddings for data visualization but fundamentally lack the ability to map these embeddings back to the original…

Machine Learning · Computer Science 2025-10-16 Riddhish Thakare , Kingdom Mutala Akugri

How to extract useful insights from data is always a challenge, especially if the data is multidimensional. Often, the data can be organized according to certain hierarchical structure that are stemmed either from data collection process or…

Applications · Statistics 2016-04-21 Kun Yang , Wing Hung Wong

To cluster, classify and represent are three fundamental objectives of learning from high-dimensional data with intrinsic structure. To this end, this paper introduces three interpretable approaches, i.e., segmentation (clustering) via the…

Computer Vision and Pattern Recognition · Computer Science 2023-06-21 Kai-Liang Lu , Avraham Chapman

Recent retrieval-augmented models enhance basic methods by building a hierarchical structure over retrieved text chunks through recursive embedding, clustering, and summarization. The most relevant information is then retrieved from both…

Computation and Language · Computer Science 2024-10-03 Charbel Chucri , Rami Azouz , Joachim Ott

This paper deals with developing techniques for the reconstruction of high-dimensional datasets given each bivariate projection, as would be found in a matrix scatterplot. A graph-based solution is introduced, involving clique-finding,…

Machine Learning · Computer Science 2023-12-27 Eli Dugan , Klaus Mueller

We propose a novel method for multiple clustering that assumes a co-clustering structure (partitions in both rows and columns of the data matrix) in each view. The new method is applicable to high-dimensional data. It is based on a…

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

In this paper we propose a unified framework to simultaneously discover the number of clusters and group the data points into them using subspace clustering. Real data distributed in a high-dimensional space can be disentangled into a union…

Computer Vision and Pattern Recognition · Computer Science 2019-07-24 Jie Liang , Jufeng Yang , Ming-Ming Cheng , Paul L. Rosin , Liang Wang

Clustering is one of the most widely used procedures in the analysis of microarray data, for example with the goal of discovering cancer subtypes based on observed heterogeneity of genetic marks between different tissues. It is well-known…

Methodology · Statistics 2009-04-21 Heng Lian

Evaluating the accuracy of dimensionality reduction (DR) projections in preserving the structure of high-dimensional data is crucial for reliable visual analytics. Diverse evaluation metrics targeting different structural characteristics…

Machine Learning · Computer Science 2026-01-13 Jiyeon Bae , Hyeon Jeon , Jinwook Seo

We consider the problem of learning discriminative representations for data in a high-dimensional space with distribution supported on or around multiple low-dimensional linear subspaces. That is, we wish to compute a linear injective map…

Machine Learning · Statistics 2022-10-07 Druv Pai , Michael Psenka , Chih-Yuan Chiu , Manxi Wu , Edgar Dobriban , Yi Ma

We propose methods for the analysis of hierarchical clustering that fully use the multi-resolution structure provided by a dendrogram. Specifically, we propose a loss for choosing between clustering methods, a feature importance score and a…

Methodology · Statistics 2023-01-31 Luben M. C. Cabezas , Rafael Izbicki , Rafael B. Stern

The problem of organizing data that evolves over time into clusters is encountered in a number of practical settings. We introduce evolutionary subspace clustering, a method whose objective is to cluster a collection of evolving data points…

Computer Vision and Pattern Recognition · Computer Science 2019-01-30 Abolfazl Hashemi , Haris Vikalo

Massive volumes of high-dimensional data that evolves over time is continuously collected by contemporary information processing systems, which brings up the problem of organizing this data into clusters, i.e. achieve the purpose of…

Machine Learning · Computer Science 2019-10-22 Di Xu , Tianhang Long , Junbin Gao

Interactive visualization of embedding projections is a useful technique for understanding data and evaluating machine learning models. Labeling data within these visualizations is critical for interpretation, as labels provide an overview…

Human-Computer Interaction · Computer Science 2025-05-20 Donghao Ren , Fred Hohman , Dominik Moritz

As data sets continue to grow in size and complexity, effective and efficient techniques are needed to target important features in the variable space. Many of the variable selection techniques that are commonly used alongside clustering…

Computation · Statistics 2013-03-22 Jeffrey L. Andrews , Paul D. McNicholas

Clustering is a popular unsupervised learning tool often used to discover groups within a larger population such as customer segments, or patient subtypes. However, despite its use as a tool for subgroup discovery and description - few…

Machine Learning · Computer Science 2021-12-13 Connor Lawless , Jayant Kalagnanam , Lam M. Nguyen , Dzung Phan , Chandra Reddy

Data exploration and visualization systems are of great importance in the Big Data era, in which the volume and heterogeneity of available information make it difficult for humans to manually explore and analyse data. Most traditional…

Human-Computer Interaction · Computer Science 2016-02-22 Nikos Bikakis , George Papastefanatos , Melina Skourla , Timos Sellis

Scientific simulations and experimental measurements produce vast amounts of spatio-temporal data, yet extracting meaningful insights remains challenging due to high dimensionality, complex structures, and missing information. Traditional…

Machine Learning · Computer Science 2025-12-01 Hamid Gadirov

In this paper, we revisit the problem of indexing multi-dimensional data in memory for the efficient support of multi-dimensional range queries and nearest neighbor queries. This is a classic problem in main-memory databases, where there is…

Databases · Computer Science 2026-05-06 Achilleas Michalopoulos , Dimitrios Tsitsigkos , Nikos Mamoulis
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