Entropy method for line-energies

Entropy method for line-energies

In this paper we analyze energy functionals concentrated on the discontinuity lines of unitlength, divergence-free 2D vector fields. The motivation comes from thin-film micromagnetics where these functionals correspond to mesoscopic wall-energies. A natural issue consists in characterizing the line-energy densities for which the functionals are lower semicontinuous for a relevant topology. In f...

The On-line Cross Entropy Method for Unsupervised Data Exploration

We investigate the use of the new Cross Entropy method as a tool for exploratory data analysis. We show how this method can be used to perform linear projections such as principal component analysis, exploratory projection pursuit and canonical correlation analysis. We further go on to show how topology preserving mappings can be created usin the cross entropy method. We also show how the cross...

Maximum Entropy Method for Composition Vector Method

Minimum Entropy Models for Laser Line Extraction

Minimum entropy model can find the optimal gray space for laser line extraction. A global model named Minimum Entropy Deconvolution is established to search for the peaks which constitute the laser line. Not only does it reach a high accuracy, but also it retains the line smoothness, which the previous work often paid little attention to. Besides, this work could extract several laser lines. Ex...

A Method for Establishing a Support Criterion or Poverty Line

In this paper, a method for establishing a support criterion or poverty line is developed based on Engel’s Law and domestic nutritional values. The support criterion is differentiated across rural and urban areas. An important result is that for 1989, people who spend less than 108,000 Rials annually lie inside the poverty line in urban areas. A further important result is that food should be g...