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Latent variable models represent a useful tool for the analysis of complex data when the constructs of interest are not observable. A problem related to these models is that the integrals involved in the likelihood function cannot be solved…

Methodology · Statistics 2015-03-05 Silvia Bianconcini , Silvia Cagnone , Dimitris Rizopoulos

Dimension reduction (DR) can transform high-dimensional text embeddings into a 2D visual projection facilitating the exploration of document similarities. However, the projection often lacks connection to the text semantics, due to the…

Human-Computer Interaction · Computer Science 2024-09-09 Wei Liu , Chris North , Rebecca Faust

Visualizing high dimensional data by projecting them into two or three dimensional space is one of the most effective ways to intuitively understand the data's underlying characteristics, for example their class neighborhood structure.…

Machine Learning · Computer Science 2020-04-06 Pitoyo Hartono

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

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

Dimensionality Reduction (DR) techniques are commonly used for the visual exploration and analysis of high-dimensional data due to their ability to project datasets of high-dimensional points onto the 2D plane. However, projecting datasets…

Machine Learning · Computer Science 2025-11-19 Jaume Ros , Alessio Arleo , Fernando Paulovich

Dimensionality Reduction (DR) is widely used for visualizing high-dimensional data, often with the goal of revealing expected cluster structure. However, such a structure may not always appear in the projections. Existing DR quality metrics…

Machine Learning · Computer Science 2025-09-05 Diede P. M. van der Hoorn , Alessio Arleo , Fernando V. Paulovich

The monitoring and management of high-volume feature-rich traffic in large networks offers significant challenges in storage, transmission and computational costs. The predominant approach to reducing these costs is based on performing a…

Machine Learning · Computer Science 2016-06-16 Tingshan Huang , Harish Sethu , Nagarajan Kandasamy

This paper explores the extension of dimension reduction (DR) techniques to the multi-dimension case by using the Einstein product. Our focus lies on graph-based methods, encompassing both linear and nonlinear approaches, within both…

Numerical Analysis · Mathematics 2025-11-25 Alaeddine Zahir , Khalide Jbilou , Ahmed Ratnani

We address the problem of class incremental learning, which is a core step towards achieving adaptive vision intelligence. In particular, we consider the task setting of incremental learning with limited memory and aim to achieve better…

Computer Vision and Pattern Recognition · Computer Science 2021-04-01 Shipeng Yan , Jiangwei Xie , Xuming He

Progressive dimensionality reduction algorithms allow for visually investigating intermediate results, especially for large data sets. While different algorithms exist that progressively increase the number of data points, we propose an…

Graphics · Computer Science 2024-10-28 Marina Evers , David Hägele , Sören Döring , Daniel Weiskopf

Dimension reduction (DR) aims to learn low-dimensional representations of high-dimensional data with the preservation of essential information. In the context of manifold learning, we define that the representation after…

Machine Learning · Computer Science 2021-07-01 Siyuan Li , Haitao Lin , Zelin Zang , Lirong Wu , Jun Xia , Stan Z. Li

Big data problems frequently require processing datasets in a streaming fashion, either because all data are available at once but collectively are larger than available memory or because the data intrinsically arrive one data point at a…

Computation · Statistics 2018-08-08 Andrea Giovannucci , Victor Minden , Cengiz Pehlevan , Dmitri B. Chklovskii

This study introduces a novel data augmentation technique, ADLDA, aimed at mitigating the negative impact of data distribution shifts caused by the data augmentation process in computer vision task. ADLDA partitions augmented data into…

Computer Vision and Pattern Recognition · Computer Science 2024-05-14 Haonan Wang

High dimensional data has introduced challenges that are difficult to address when attempting to implement classical approaches of statistical process control. This has made it a topic of interest for research due in recent years. However,…

Applications · Statistics 2019-04-23 Mohammad Nabhan , Yajun Mei , Jianjun Shi

Data augmentation is an effective way to diversify corpora in machine translation, but previous methods may introduce semantic inconsistency between original and augmented data because of irreversible operations and random subword sampling…

Computation and Language · Computer Science 2025-02-21 Jiashu Yao , Heyan Huang , Zeming Liu , Yuhang Guo

Data augmentation is a ubiquitous technique for improving image classification when labeled data is scarce. Constraining the model predictions to be invariant to diverse data augmentations effectively injects the desired representational…

Computer Vision and Pattern Recognition · Computer Science 2022-11-21 Yuliang Zou , Jinwoo Choi , Qitong Wang , Jia-Bin Huang

Dimensionality reduction (DR) techniques help analysts to understand patterns in high-dimensional spaces. These techniques, often represented by scatter plots, are employed in diverse science domains and facilitate similarity analysis among…

Machine Learning · Computer Science 2025-10-21 Wilson E. Marcílio-Jr , Danilo M. Eler , Fernando V. Paulovich , Rafael M. Martins

Piecewise Linear Approximation (PLA) is a well-established tool to reduce the size of the representation of time series by approximating the series by a sequence of line segments while keeping the error introduced by the approximation…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-10-10 Romaric Duvignau , Vincenzo Gulisano , Marina Papatriantafilou , Vladimir Savic

Dimensionality reduction methods are an essential tool for multidimensional data analysis, and many interesting processes can be studied as time-dependent multivariate datasets. There are, however, few studies and proposals that leverage on…

Graphics · Computer Science 2020-02-19 E. F. Vernier , R. Garcia , I. P. da Silva , J. L. D. Comba , A. C. Telea