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Iterative Distributed Multinomial Regression

2024-12-02 · Yanqin Fan, Yigit Okar, Xuetao Shi

This article introduces an iterative distributed computing estimator for the multinomial logistic regression model with large choice sets. Compared to the maximum likelihood estimator, the proposed iterative distributed estimator achieves significantly faster computation and, when initialized with a consistent estimator, attains asymptotic efficiency under a weak dominance condition. Additionally, we propose a parametric bootstrap inference procedure based on the iterative distributed estimator and establish its consistency. Extensive simulation studies validate the effectiveness of the proposed methods and highlight the computational efficiency of the iterative distributed estimator.

📄 PDF Abstract BibTeX arXiv:2412.01030

Code (1)

yigitokar/IDMR 공식 구현 pytorch

Tasks

Computational EfficiencyDistributed Computingregression

Methods 이 논문이 사용한 방법론

Logistic Regression Logistic Regression, despite its name, is a linear model for classification rather than regression. Logistic regression is also known in the literature as logit regression,…

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