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Scientific studies increasingly collect multiple modalities of data to investigate a phenomenon from several perspectives. In integrative data analysis it is important to understand how information is heterogeneously spread across these…

Methodology · Statistics 2021-01-01 Iain Carmichael

We introduce a new technique for the efficient management of large sequences of multidimensional data, which takes advantage of regularities that arise in real-world datasets and supports different types of aggregation queries. More…

Data Structures and Algorithms · Computer Science 2018-03-08 Nieves R. Brisaboa , Guillermo de Bernardo , Gonzalo Navarro , Tirso V. Rodeiro , Diego Seco

We consider dimension reduction of multiview data, which are emerging in scientific studies. Formulating multiview data as multi-variate data with block structures corresponding to the different views, or views of data, we estimate top…

Methodology · Statistics 2024-06-18 Lin Xiao , Luo Xiao

Sparse approximation is the problem to find the sparsest linear combination for a signal from a redundant dictionary, which is widely applied in signal processing and compressed sensing. In this project, I manage to implement the Orthogonal…

Computer Vision and Pattern Recognition · Computer Science 2020-11-10 Han Wang

Representational similarity analysis (RSA) is a multivariate technique to investigate cortical representations of objects or constructs. While avoiding ill-posed matrix inversions that plague multivariate approaches in the presence of many…

Methodology · Statistics 2021-12-03 Roberto Viviani

The present paper attempts to generate visual clustering and data extraction of cell formation problem using both principal component analysis (PCA) and self organizing map (SOM) from input of sequence based machine-part incidence matrix.…

Adaptation and Self-Organizing Systems · Physics 2012-03-21 Manojit Chattopadhyay , Pranab K. Dan , Sitanath Majumdar

Algorithms for data visualizations are essential tools for transforming data into useful narratives. Unfortunately, very few visualization algorithms can handle the large datasets of many real-world scenarios. In this study, we address the…

Human-Computer Interaction · Computer Science 2018-10-31 Claudio Sanhueza , Francia Jiménez , Regina Berretta , Pablo Moscato

Dynamical systems with a distributed yet interconnected structure, like multi-rigid-body robots or large-scale multi-agent systems, introduce valuable sparsity into the system dynamics that can be exploited in an optimal control setting for…

Robotics · Computer Science 2021-04-08 Roshan Pradhan , Shuo Yang , Frank Dellaert , Howie Choset , Matthew Travers

Several approaches have been proposed to solve the spectral unmixing problem in hyperspectral image analysis. Among them the use of sparse regression techniques aims to characterize the abundances in pixels based on a large library of…

Image and Video Processing · Electrical Eng. & Systems 2021-02-12 L. C. Ayres , S. J. M. de Almeida , J. C. M. Bermudez , R. A. Borsoi

The idea of representation has been used in various fields of study from data analysis to political science. In this paper, we define representativeness and describe a method to isolate data points that can represent the entire data set.…

Information Retrieval · Computer Science 2016-10-20 Ashwinkumar Ganesan , Tim Oates , Matt Schmill

The problem of representative selection amounts to sampling few informative exemplars from large datasets. This paper presents MOSAIC, a novel representative selection approach from high-dimensional data that may exhibit non-linear…

Machine Learning · Computer Science 2020-03-16 Mahlagha Sedghi , George Atia , Michael Georgiopoulos

Legacy spreadsheets are both, an asset, and an enduring problem concerning spreadsheets in business. To make spreadsheets stay alive and remain correct, comprehension of a given spreadsheet is highly important. Visualization techniques…

Software Engineering · Computer Science 2008-09-19 Karin Hodnigg , Roland T. Mittermeir

Multi-view clustering (MVC) has been extensively studied to collect multiple source information in recent years. One typical type of MVC methods is based on matrix factorization to effectively perform dimension reduction and clustering.…

Machine Learning · Computer Science 2021-05-11 Chen Zhang , Siwei Wang , Jiyuan Liu , Sihang Zhou , Pei Zhang , Xinwang Liu , En Zhu , Changwang Zhang

Visualizations support rapid analysis of scientific datasets, allowing viewers to glean aggregate information (e.g., the mean) within split-seconds. While prior research has explored this ability in conventional charts, it is unclear if…

Human-Computer Interaction · Computer Science 2024-06-21 Victor A. Mateevitsi , Michael E. Papka , Khairi Reda

This research addresses the challenge of limited data in tabular data classification, particularly prevalent in domains with constraints like healthcare. We propose Tab2Visual, a novel approach that transforms heterogeneous tabular data…

Machine Learning · Computer Science 2025-02-12 Ahmed Mamdouh , Moumen El-Melegy , Samia Ali , Ron Kikinis

Though the mediums for visualization are limited, the potential dimensions of a dataset are not. In many areas of scientific study, understanding the correlations between those dimensions and their uncertainties is pivotal to mining useful…

Astrophysics · Physics 2009-02-25 Steve Haroz , Kwan-Liu Ma , Katrin Heitmann

Data visualisation helps understanding data represented by multiple variables, also called features, stored in a large matrix where individuals are stored in lines and variable values in columns. These data structures are frequently called…

Human-Computer Interaction · Computer Science 2022-07-25 Haseeb Younis , Paul Trust , Rosane Minghim

We present a novel algorithm that allows us to gain detailed insight into the effects of sparsity in linear and nonlinear optimization, which is of great importance in many scientific areas such as image and signal processing, medical…

Optimization and Control · Mathematics 2021-09-23 Katharina Bieker , Bennet Gebken , Sebastian Peitz

Effective sparse representation of X-Ray medical images within the context of data reduction is considered. The proposed framework is shown to render an enormous reduction in the cardinality of the data set required to represent this class…

Computer Vision and Pattern Recognition · Computer Science 2016-11-15 Laura Rebollo-Neira

Sparse Principal Component Analysis (sPCA) is a cardinal technique for obtaining combinations of features, or principal components (PCs), that explain the variance of high-dimensional datasets in an interpretable manner. This involves…

Optimization and Control · Mathematics 2025-12-02 Ryan Cory-Wright , Jean Pauphilet