Nonlinear Quality of Life Index

08/24/2010
by   A. Zinovyev, et al.
0

We present details of the analysis of the nonlinear quality of life index for 171 countries. This index is based on four indicators: GDP per capita by Purchasing Power Parities, Life expectancy at birth, Infant mortality rate, and Tuberculosis incidence. We analyze the structure of the data in order to find the optimal and independent on expert's opinion way to map several numerical indicators from a multidimensional space onto the one-dimensional space of the quality of life. In the 4D space we found a principal curve that goes "through the middle" of the dataset and project the data points on this curve. The order along this principal curve gives us the ranking of countries. Projection onto the principal curve provides a solution to the classical problem of unsupervised ranking of objects. It allows us to find the independent on expert's opinion way to project several numerical indicators from a multidimensional space onto the one-dimensional space of the index values. This projection is, in some sense, optimal and preserves as much information as possible. For computation we used ViDaExpert, a tool for visualization and analysis of multidimensional vectorial data (arXiv:1406.5550).

READ FULL TEXT

page 1

page 2

page 3

page 4

10/21/2017

Principal Boundary on Riemannian Manifolds

We revisit the classification problem and focus on nonlinear methods for...
04/11/2018

Analyzing the activities of visitors of the Leiden Ranking website

The CWTS Leiden Ranking (www.leidenranking.com) provides bibliometric in...
02/19/2014

Unsupervised Ranking of Multi-Attribute Objects Based on Principal Curves

Unsupervised ranking faces one critical challenge in evaluation applicat...
09/03/2020

TopoMap: A 0-dimensional Homology Preserving Projection of High-Dimensional Data

Multidimensional Projection is a fundamental tool for high-dimensional d...
02/25/2020

Multidimensional smoothness indicators for first-order Hamilton-Jacobi equations

The lack of smoothness is a common feature of weak solutions of nonlinea...
07/01/2012

Single parameter galaxy classification: The Principal Curve through the multi-dimensional space of galaxy properties

We propose to describe the variety of galaxies from SDSS by using only o...
12/31/2021

A simple method for estimating the Lorenz curve

Given many popular functional forms for the Lorenz curve do not have a c...