.png){kind=icon}
返回
Network Maximal Correlation
.png){kind=icon}
OA
AI
DOI：10.1109/TNSE.2017.2716966.png)
.png){kind=icon}
.png){kind=icon}
分享.png){kind=icon}
收藏
摘要
En 中文
We introduce Network Maximal Correlation (NMC) as a multivariate measure of nonlinear association among random variables. NMC is defined via an optimization that infers transformations of variables by maximizing aggregate inner products between transformed variables. For finite discrete and jointly Gaussian random variables, we characterize a solution of the NMC optimization using basis expansion of functions over appropriate basis functions. For finite discrete variables, we propose an algorithm based on alternating conditional expectation to determine NMC. Moreover we propose a distributed algorithm to compute an approximation of NMC for large and dense graphs using graph partitioning. For finite discrete variables, we show that the probability of discrepancy greater than any given level between NMC and NMC computed using empirical distributions decays exponentially fast as the sample size grows. For jointly Gaussian variables, we show that under some conditions the NMC optimization is an instance of the Max-Cut problem. We then illustrate an application of NMC in inference of graphical model for bijective functions of jointly Gaussian variables. Finally, we show NMC's utility in a data application of learning nonlinear dependencies among genes in a cancer dataset.
Keyword:
Maximum correlation problem
alternating conditional expectation (ACE)
Hermite-Chebyshev polynomials
Gaussian graphical models
gene networks
AI总结
对已上传原文的论文进行重点信息的提取，主要内容包括：简要概述、研究摘要、背景介绍、关键亮点、图文解析、展望与总结。
期刊
I
IF:
7.9
论文数:
2.5K
被引数:
10.0K
机构
引用论文
Imine-linked micron-network polymers with high polyethylene glycol uptake for shaped-stabilized phase change materials.png)
RSC Advances
RSC AdvancesIF0
PREAI
分享收藏
查看更多内容