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Mixture Density Network Estimation of Continuous Variable Maximum Likelihood Using Discrete Training Samples

Data Analysis, Statistics and Probability 2021-08-18 v2 Machine Learning High Energy Physics - Experiment

Abstract

Mixture Density Networks (MDNs) can be used to generate probability density functions of model parameters θ\boldsymbol{\theta} given a set of observables x\mathbf{x}. In some applications, training data are available only for discrete values of a continuous parameter θ\boldsymbol{\theta}. In such situations a number of performance-limiting issues arise which can result in biased estimates. We demonstrate the usage of MDNs for parameter estimation, discuss the origins of the biases, and propose a corrective method for each issue.

Keywords

Cite

@article{arxiv.2103.13416,
  title  = {Mixture Density Network Estimation of Continuous Variable Maximum Likelihood Using Discrete Training Samples},
  author = {Charles Burton and Spencer Stubbs and Peter Onyisi},
  journal= {arXiv preprint arXiv:2103.13416},
  year   = {2021}
}
R2 v1 2026-06-24T00:31:49.609Z