An Entropy-Based Test and Development Framework for Uncertainty Modeling in Level-Set Visualizations

Fuente: arXiv
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Autores principales: Sisneros, Robert, Athawale, Tushar M., Pugmire, David, Moreland, Kenneth
Formato: Preprint
Publicado: 2024
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author Sisneros, Robert
Athawale, Tushar M.
Pugmire, David
Moreland, Kenneth
author_facet Sisneros, Robert
Athawale, Tushar M.
Pugmire, David
Moreland, Kenneth
contents We present a simple comparative framework for testing and developing uncertainty modeling in uncertain marching cubes implementations. The selection of a model to represent the probability distribution of uncertain values directly influences the memory use, run time, and accuracy of an uncertainty visualization algorithm. We use an entropy calculation directly on ensemble data to establish an expected result and then compare the entropy from various probability models, including uniform, Gaussian, histogram, and quantile models. Our results verify that models matching the distribution of the ensemble indeed match the entropy. We further show that fewer bins in nonparametric histogram models are more effective whereas large numbers of bins in quantile models approach data accuracy.
format Preprint
id arxiv_https___arxiv_org_abs_2409_08445
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle An Entropy-Based Test and Development Framework for Uncertainty Modeling in Level-Set Visualizations
Sisneros, Robert
Athawale, Tushar M.
Pugmire, David
Moreland, Kenneth
Human-Computer Interaction
Machine Learning
We present a simple comparative framework for testing and developing uncertainty modeling in uncertain marching cubes implementations. The selection of a model to represent the probability distribution of uncertain values directly influences the memory use, run time, and accuracy of an uncertainty visualization algorithm. We use an entropy calculation directly on ensemble data to establish an expected result and then compare the entropy from various probability models, including uniform, Gaussian, histogram, and quantile models. Our results verify that models matching the distribution of the ensemble indeed match the entropy. We further show that fewer bins in nonparametric histogram models are more effective whereas large numbers of bins in quantile models approach data accuracy.
title An Entropy-Based Test and Development Framework for Uncertainty Modeling in Level-Set Visualizations
topic Human-Computer Interaction
Machine Learning
url https://arxiv.org/abs/2409.08445