Info-Clustering: A Mathematical Theory for Data Clustering
Information Theory
2016-12-13 v3 math.IT
Genomics
Neurons and Cognition
Abstract
We formulate an info-clustering paradigm based on a multivariate information measure, called multivariate mutual information, that naturally extends Shannon's mutual information between two random variables to the multivariate case involving more than two random variables. With proper model reductions, we show that the paradigm can be applied to study the human genome and connectome in a more meaningful way than the conventional algorithmic approach. Not only can info-clustering provide justifications and refinements to some existing techniques, but it also inspires new computationally feasible solutions.
Cite
@article{arxiv.1605.01233,
title = {Info-Clustering: A Mathematical Theory for Data Clustering},
author = {Chung Chan and Ali Al-Bashabsheh and Qiaoqiao Zhou and Tarik Kaced and Tie Liu},
journal= {arXiv preprint arXiv:1605.01233},
year = {2016}
}
Comments
In celebration of Claude Shannon's Centenary