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Mixture of experts distributional regression: implementation using robust estimation with adaptive first-order methods

Author

Listed:
  • David Rügamer

    (LMU Munich
    TU Dortmund
    Munich Center for Machine Learning)

  • Florian Pfisterer

    (LMU Munich
    Munich Center for Machine Learning)

  • Bernd Bischl

    (LMU Munich
    Munich Center for Machine Learning)

  • Bettina Grün

    (WU Vienna)

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.

Suggested Citation

  • David Rügamer & Florian Pfisterer & Bernd Bischl & Bettina Grün, 2024. "Mixture of experts distributional regression: implementation using robust estimation with adaptive first-order methods," AStA Advances in Statistical Analysis, Springer;German Statistical Society, vol. 108(2), pages 351-373, June.
    • Handle: RePEc:spr:alstar:v:108:y:2024:i:2:d:10.1007_s10182-023-00486-8
    DOI: 10.1007/s10182-023-00486-8
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    References listed on IDEAS

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    1. Simon N. Wood & Matteo Fasiolo, 2017. "A generalized Fellner‐Schall method for smoothing parameter optimization with application to Tweedie location, scale and shape models," Biometrics, The International Biometric Society, vol. 73(4), pages 1071-1081, December.
    2. Lawrence Hubert & Phipps Arabie, 1985. "Comparing partitions," Journal of Classification, Springer;The Classification Society, vol. 2(1), pages 193-218, December.
    3. Simon N. Wood, 2003. "Thin plate regression splines," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 65(1), pages 95-114, February.
    4. Grun, Bettina & Leisch, Friedrich, 2007. "Fitting finite mixtures of generalized linear regressions in R," Computational Statistics & Data Analysis, Elsevier, vol. 51(11), pages 5247-5252, July.
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