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Reluctant Generalised Additive Modelling

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  • J. Kenneth Tay
  • Robert Tibshirani

Abstract

Sparse generalised additive models (GAMs) are an extension of sparse generalised linear models that allow a model's prediction to vary non‐linearly with an input variable. This enables the data analyst build more accurate models, especially when the linearity assumption is known to be a poor approximation of reality. Motivated by reluctant interaction modelling, we propose a multi‐stage algorithm, called reluctant generalised additive modelling (RGAM), that can fit sparse GAMs at scale. It is guided by the principle that, if all else is equal, one should prefer a linear feature over a non‐linear feature. Unlike existing methods for sparse GAMs, RGAM can be extended easily to binary, count and survival data. We demonstrate the method's effectiveness on real and simulated examples.

Suggested Citation

  • J. Kenneth Tay & Robert Tibshirani, 2020. "Reluctant Generalised Additive Modelling," International Statistical Review, International Statistical Institute, vol. 88(S1), pages 205-224, December.
    • Handle: RePEc:bla:istatr:v:88:y:2020:i:s1:p:s205-s224
    DOI: 10.1111/insr.12429
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    References listed on IDEAS

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    1. Ming Yuan & Yi Lin, 2006. "Model selection and estimation in regression with grouped variables," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 68(1), pages 49-67, February.
    2. Friedman, Jerome H. & Hastie, Trevor & Tibshirani, Rob, 2010. "Regularization Paths for Generalized Linear Models via Coordinate Descent," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 33(i01).
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