Problem
Research questions and friction points this paper is trying to address.
compositional data
structural zero values
log-ratio transformations
Modelling compositional data with structural zero values
🤖 AI Summary
本文针对含有结构性零值的组合数据，提出了一种条件对数正态分布模型，并通过EM算法实现快速计算。
📝 Abstract
Compositional data are positive multivariate data whose sum equals 1. A popular method to analyze such data is via log--ratio transformations, which are however not applicable when zero values are present. In this paper we present a conditional logistic normal distribution suitable for compositional data with structural zero values. The model is applicable to arbitrary dimensions and the EM algorithm guarantees a fast implementation. The regression setting is also presented and a comparison to the Dirichlet analogue is performed.
Innovation
Methods, ideas, or system contributions that make the work stand out.
conditional logistic normal distribution
compositional data with structural zero values
EM algorithm
arbitrary dimensions
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