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A new dimension reduction (DR) method for data sets is proposed by autonomous deforming of data manifolds. The deformation is guided by the proposed deforming vector field, which is defined by two kinds of virtual interactions between data…

Machine Learning · Computer Science 2021-10-22 Xiaodong Zhuang

Extremely high data rates expected in next-generation radio interferometers necessitate a fast and robust way to process measurements in a big data context. Dimensionality reduction can alleviate computational load needed to process these…

Instrumentation and Methods for Astrophysics · Physics 2017-09-13 S. Vijay Kartik , Arwa Dabbech , Jean-Philippe Thiran , Yves Wiaux

With the increasing availability of high-dimensional data, analysts often rely on exploratory data analysis to understand complex data sets. A key approach to exploring such data is dimensionality reduction, which embeds high-dimensional…

Machine Learning · Computer Science 2024-12-17 Pavlin G. Poličar , Blaž Zupan

An analysis of high-dimensional data can offer a detailed description of a system but is often challenged by the curse of dimensionality. General dimensionality reduction techniques can alleviate such difficulty by extracting a few…

Methodology · Statistics 2021-09-28 Di Bo , Hoon Hwangbo , Vinit Sharma , Corey Arndt , Stephanie C. TerMaath

In the coming era of exascale supercomputing, in-situ visualization will be a crucial approach for reducing the output data size. A problem of in-situ visualization is that it loses interactivity if a steering method is not adopted. In this…

Computational Physics · Physics 2015-06-12 Akira Kageyama , Tomoki Yamada

The rapid progress in machine learning methods has been empowered by i) huge datasets that have been collected and annotated, ii) improved engineering (e.g. data pre-processing/normalization). The existing datasets typically include several…

Computer Vision and Pattern Recognition · Computer Science 2018-01-23 Grigorios G. Chrysos , Yannis Panagakis , Stefanos Zafeiriou

In the vast landscape of visualization research, Dimensionality Reduction (DR) and graph analysis are two popular subfields, often essential to most visual data analytics setups. DR aims to create representations to support neighborhood and…

Machine Learning · Computer Science 2024-12-10 Fernando Paulovich , Alessio Arleo , Stef van den Elzen

Dimensionality reduction methods are unsupervised approaches which learn low-dimensional spaces where some properties of the initial space, typically the notion of "neighborhood", are preserved. Such methods usually require propagation on…

Computer Vision and Pattern Recognition · Computer Science 2022-06-16 Yannis Kalantidis , Carlos Lassance , Jon Almazan , Diane Larlus

Continual learning is increasingly sought after in real world machine learning applications, as it enables learning in a more human-like manner. Conventional machine learning approaches fail to achieve this, as incrementally updating the…

Computer Vision and Pattern Recognition · Computer Science 2023-10-31 Joe Khawand , Peter Hanappe , David Colliaux

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

Many areas in science and engineering now have access to technologies that enable the rapid collection of overwhelming data volumes. While these datasets are vital for understanding phenomena from physical to biological and social systems,…

Signal Processing · Electrical Eng. & Systems 2026-01-14 Nicholas P. Bertrand , Eva Yezerets , Han Lun Yap , Adam S. Charles , Christopher J. Rozell

Implicit neural representations (INRs) have emerged as a powerful tool for compressing large-scale volume data. This opens up new possibilities for in situ visualization. However, the efficient application of INRs to distributed data…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-07-23 Qi Wu , Joseph A. Insley , Victor A. Mateevitsi , Silvio Rizzi , Michael E. Papka , Kwan-Liu Ma

Visual reinforcement learning (RL), which makes decisions directly from high-dimensional visual inputs, has demonstrated significant potential in various domains. However, deploying visual RL techniques in the real world remains challenging…

Computer Vision and Pattern Recognition · Computer Science 2024-10-22 Guozheng Ma , Zhen Wang , Zhecheng Yuan , Xueqian Wang , Bo Yuan , Dacheng Tao

In the rapidly evolving field of multimedia services, video streaming has become increasingly prevalent, demanding innovative solutions to enhance user experience and system efficiency. This paper introduces a novel approach that integrates…

Multimedia · Computer Science 2025-08-05 Stephen Jimmy , Kalkidan Berhane , Kevin Muhammad

In this paper, the existing Scheduling Dimension Reduction (SDR) methods for Linear Parameter-Varying (LPV) models are reviewed and a Deep Neural Network (DNN) approach is developed that achieves higher model accuracy under scheduling…

Systems and Control · Electrical Eng. & Systems 2020-12-10 P. J. W. Koelewijn , R. Tóth

This work develops a parallelized algorithm to compute the dynamic mode decomposition (DMD) on a graphics processing unit using the streaming method of snapshots singular value decomposition. This allows the algorithm to operate efficiently…

Numerical Analysis · Mathematics 2016-12-26 Seth D. Pendergrass , J. Nathan Kutz , Steven L. Brunton

Dimension reduction and visualization is a staple of data analytics. Methods such as Principal Component Analysis (PCA) and Multidimensional Scaling (MDS) provide low dimensional (LD) projections of high dimensional (HD) data while…

Methodology · Statistics 2017-09-21 J. T. Fry , Matt Slifko , Scotland Leman

Linear dimensionality reduction methods are a cornerstone of analyzing high dimensional data, due to their simple geometric interpretations and typically attractive computational properties. These methods capture many data features of…

Machine Learning · Statistics 2016-03-22 John P. Cunningham , Zoubin Ghahramani

Dynamic Mode Decomposition (DMD) is a data-driven technique to identify a low dimensional linear time invariant dynamics underlying high-dimensional data. For systems in which such underlying low-dimensional dynamics is time-varying, a…

Signal Processing · Electrical Eng. & Systems 2020-04-09 Mustaffa Alfatlawi , Vaibhav Srivastava

During the last decades, learning a low-dimensional space with discriminative information for dimension reduction (DR) has gained a surge of interest. However, it's not accessible for these DR methods to achieve satisfactory performance…

Machine Learning · Computer Science 2019-11-19 Xiangzhu Meng , Huibing Wang , Lin Feng
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