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Mixture Proportion Estimation Beyond Irreducibility
Yilun Zhu · Aaron Fjeldsted · Darren Holland · George Landon · Azaree Lintereur · Clay Scott

Wed Jul 26 05:00 PM -- 06:30 PM (PDT) @ Exhibit Hall 1 #528
Event URL: https://github.com/allan-z/sumpe »

The task of mixture proportion estimation (MPE) is to estimate the weight of a component distribution in a mixture, given observations from both the component and mixture. Previous work on MPE adopts the irreducibility assumption, which ensures identifiablity of the mixture proportion. In this paper, we propose a more general sufficient condition that accommodates several settings of interest where irreducibility does not hold. We further present a resampling-based meta-algorithm that takes any existing MPE algorithm designed to work under irreducibility and adapts it to work under our more general condition. Our approach empirically exhibits improved estimation performance relative to baseline methods and to a recently proposed regrouping-based algorithm.

Author Information

Yilun Zhu (University of Michigan)
Aaron Fjeldsted
Darren Holland (Air Force Institute of Technology)
George Landon
Azaree Lintereur
Clay Scott (University of Michigan)

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