Generalized Biplots for Multidimensional Scaled Projections

09/14/2017
by   J. T. Fry, et al.
0

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 preserving an HD relationship between observations. Traditional biplots assign meaning to the LD space of a PCA projection by displaying LD axes for the attributes. These axes, however, are specific to the linear projection used in PCA. MDS projections, which allow for arbitrary stress and dissimilarity functions, require special care when labeling the LD space. We propose an iterative scheme to plot an LD axis for each attribute based on the user-specified stress and dissimilarity metrics. We discuss the details of our general biplot methodology, its relationship with PCA-derived biplots, and provide examples using real data.

READ FULL TEXT

page 1

page 2

page 3

page 4

research
09/25/2020

Improved Dimensionality Reduction of various Datasets using Novel Multiplicative Factoring Principal Component Analysis (MPCA)

Principal Component Analysis (PCA) is known to be the most widely applie...
research
05/01/2020

How to reduce dimension with PCA and random projections?

In our "big data" age, the size and complexity of data is steadily incre...
research
07/14/2022

Supervising Embedding Algorithms Using the Stress

While classical scaling, just like principal component analysis, is para...
research
04/17/2008

Information Preserving Component Analysis: Data Projections for Flow Cytometry Analysis

Flow cytometry is often used to characterize the malignant cells in leuk...
research
08/06/2019

Online Detection of Sparse Changes in High-Dimensional Data Streams Using Tailored Projections

When applying principal component analysis (PCA) for dimension reduction...
research
07/12/2022

Understanding High Dimensional Spaces through Visual Means Employing Multidimensional Projections

Data visualisation helps understanding data represented by multiple vari...
research
04/11/2022

On unsupervised projections and second order signals

Linear projections are widely used in the analysis of high-dimensional d...

Please sign up or login with your details

Forgot password? Click here to reset