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Mixture of Experts Distributional Regression: Implementation Using Robust Estimation with Adaptive First-order Methods

Computation 2026-03-23 v1

Abstract

In this work, we propose an efficient implementation of mixtures of experts distributional regression models which exploits robust estimation by using stochastic first-order optimization techniques with adaptive learning rate schedulers. We take advantage of the flexibility and scalability of neural network software and implement the proposed framework in mixdistreg, an R software package that allows for the definition of mixtures of many different families, estimation in high-dimensional and large sample size settings and robust optimization based on TensorFlow. Numerical experiments with simulated and real-world data applications show that optimization is as reliable as estimation via classical approaches in many different settings and that results may be obtained for complicated scenarios where classical approaches consistently fail.

Keywords

Cite

@article{arxiv.2211.09875,
  title  = {Mixture of Experts Distributional Regression: Implementation Using Robust Estimation with Adaptive First-order Methods},
  author = {David Rügamer and Florian Pfisterer and Bernd Bischl and Bettina Grün},
  journal= {arXiv preprint arXiv:2211.09875},
  year   = {2026}
}

Comments

arXiv admin note: text overlap with arXiv:2010.06889

R2 v1 2026-06-28T06:09:51.592Z