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Dimensionality reduction has become an important research topic as demand for interpreting high-dimensional datasets has been increasing rapidly in recent years. There have been many dimensionality reduction methods with good performance in…

Machine Learning · Computer Science 2022-12-01 Qiaodan Luo , Leonardo Christino , Fernando V Paulovich , Evangelos Milios

In the context of optimization, visualization techniques can be useful for understanding the behaviour of optimization algorithms and can even provide a means to facilitate human interaction with an optimizer. Towards this goal, an…

Neural and Evolutionary Computing · Computer Science 2020-07-27 Kyle Robert Harrison , Azam Asilian Bidgoli , Shahryar Rahnamayan , Kalyanmoy Deb

The growing number of dimensionality reduction methods available for data visualization has recently inspired the development of quality assessment measures, in order to evaluate the resulting low-dimensional representation independently…

Machine Learning · Computer Science 2011-10-19 Wouter Lueks , Bassam Mokbel , Michael Biehl , Barbara Hammer

Large high-dimensional datasets are becoming more and more popular in an increasing number of research areas. Processing the high dimensional data incurs a high computational cost and is inherently inefficient since many of the values that…

Computer Vision and Pattern Recognition · Computer Science 2013-05-01 Alon Schclar

Dimensionality reduction (DR) algorithms compress high-dimensional data into a lower dimensional representation while preserving important features of the data. DR is a critical step in many analysis pipelines as it enables visualisation,…

Machine Learning · Statistics 2023-05-26 Aditya Ravuri , Francisco Vargas , Vidhi Lalchand , Neil D. Lawrence

Parallel coordinate plots (PCPs) are among the most useful techniques for the visualization and exploration of high-dimensional data spaces. They are especially useful for the representation of correlations among the dimensions, which…

Human-Computer Interaction · Computer Science 2016-09-20 Takayuki Itoh , Ashnil Kumar , Karsten Klein , Jinman Kim

Modeling data as being sampled from a union of independent subspaces has been widely applied to a number of real world applications. However, dimensionality reduction approaches that theoretically preserve this independence assumption have…

Machine Learning · Computer Science 2016-04-08 Devansh Arpit , Ifeoma Nwogu , Venu Govindaraju

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

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

Analyzing high-dimensional data presents challenges due to the "curse of dimensionality'', making computations intensive. Dimension reduction techniques, categorized as linear or non-linear, simplify such data. Non-linear methods are…

Machine Learning · Statistics 2025-04-15 Praveen T. W. Hettige , Benjamin W. Ong

Dimensionality reduction is an integral part of data visualization. It is a process that obtains a structure preserving low-dimensional representation of the high-dimensional data. Two common criteria can be used to achieve a dimensionality…

Computational Geometry · Computer Science 2018-06-25 Lin Yan , Yaodong Zhao , Paul Rosen , Carlos Scheidegger , Bei Wang

Developing interpretable machine learning models has become an increasingly important issue. One way in which data scientists have been able to develop interpretable models has been to use dimension reduction techniques. In this paper, we…

Machine Learning · Computer Science 2023-03-23 Sean H. Merritt , Alexander P. Christensen

Dimensionality reduction (DR) is an important technique for data exploration and knowledge discovery. However, most of the main DR methods are either linear (e.g., PCA), do not provide an explicit mapping between the original data and its…

Neural and Evolutionary Computing · Computer Science 2022-03-15 Thomas Uriot , Marco Virgolin , Tanja Alderliesten , Peter Bosman

In this work, we study distance metric learning (DML) for high dimensional data. A typical approach for DML with high dimensional data is to perform the dimensionality reduction first before learning the distance metric. The main…

Machine Learning · Computer Science 2015-09-16 Qi Qian , Rong Jin , Lijun Zhang , Shenghuo Zhu

These notes are an overview of some classical linear methods in Multivariate Data Analysis. This is a good old domain, well established since the 60's, and refreshed timely as a key step in statistical learning. It can be presented as part…

Numerical Analysis · Mathematics 2023-05-25 Alain Franc

In this paper, we present Hi-D maps, a novel method for the visualization of multi-dimensional categorical data. Our work addresses the scarcity of techniques for visualizing a large number of data-dimensions in an effective and…

Graphics · Computer Science 2025-07-11 Radi Muhammad Reza , Benjamin A Watson

Cognitive Dimensions is a framework for analyzing human-computer interaction. It is used for meta-analysis, that is, for talking about characteristics of systems without getting bogged down in details of a particular implementation. In this…

Human-Computer Interaction · Computer Science 2009-08-26 Gene Golovchinsky

Visual exploration of high-dimensional real-valued datasets is a fundamental task in exploratory data analysis (EDA). Existing methods use predefined criteria to choose the representation of data. There is a lack of methods that (i) elicit…

Machine Learning · Statistics 2021-11-08 Kai Puolamäki , Emilia Oikarinen , Bo Kang , Jefrey Lijffijt , Tijl De Bie

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

One of the most useful techniques to help visual data analysis systems is interactive filtering (brushing). However, visualization techniques often suffer from overlap of graphical items and multiple attributes complexity, making visual…

Graphics · Computer Science 2015-07-07 Jose Rodrigues , Luciana Romani , Agma Traina , Caetano Traina