Using tours to visually investigate properties of new projection pursuit indexes with application to problems in physics

02/01/2019
by   Ursula Laa, et al.
0

Projection pursuit is used to find interesting low-dimensional projections of high-dimensional data by optimizing an index over all possible projections. Most indexes have been developed to detect departure from known distributions, such as normality, or to find separations between known groups. Here, we are interested in finding projections revealing potentially complex bivariate patterns, using new indexes constructed from scagnostics and a maximum information coefficient, with a purpose to detect unusual relationships between model parameters describing physics phenomena. The performance of these indexes is examined with respect to ideal behaviour, using simulated data, and then applied to problems from gravitational wave astronomy. The implementation builds upon the projection pursuit tools available in the R package, tourr, with indexes constructed from code in the R packages, scagnostics, minerva and mbgraphic.

READ FULL TEXT

page 11

page 15

page 16

page 30

page 39

page 40

research
04/08/2021

Visual Diagnostics for Constrained Optimisation with Application to Guided Tours

A guided tour helps to visualise high-dimensional data by showing low-di...
research
11/24/2022

Projection pursuit adaptation on polynomial chaos expansions

The present work addresses the issue of accurate stochastic approximatio...
research
12/22/2021

Refining Invariant Coordinate Selection via Local Projection Pursuit

Independent component selection (ICS), introduced by Tyler et al. (2009,...
research
04/28/2020

Hole or grain? A Section Pursuit Index for Finding Hidden Structure in Multiple Dimensions

Multivariate data is often visualized using linear projections, produced...
research
07/31/2019

Projection pursuit based generalized betas accounting for higher order co-moment effects in financial market analysis

Betas are possibly the most frequently applied tool to analyze how secur...
research
10/11/2022

New and simplified manual controls for projection and slice tours, with application to exploring classification boundaries in high dimensions

This paper describes new user controls for examining high-dimensional da...
research
09/09/2021

Kurtosis-based projection pursuit for matrix-valued data

We develop projection pursuit for data that admit a natural representati...

Please sign up or login with your details

Forgot password? Click here to reset