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Deep Regression Ensembles

Author

Listed:
  • Antoine Didisheim

    (Swiss Finance Institute, UNIL)

  • Bryan T. Kelly

    (Yale SOM; AQR Capital Management, LLC; National Bureau of Economic Research (NBER))

  • Semyon Malamud

    (Ecole Polytechnique Federale de Lausanne; Centre for Economic Policy Research (CEPR); Swiss Finance Institute)

Abstract

We introduce a methodology for designing and training deep neural networks (DNN) that we call “Deep Regression Ensembles" (DRE). It bridges the gap between DNN and two-layer neural networks trained with random feature regression. Each layer of DRE has two components, randomly drawn input weights and output weights trained myopically (as if the final output layer) using linear ridge regression. Within a layer, each neuron uses a different subset of inputs and a different ridge penalty, constituting an ensemble of random feature ridge regressions. Our experiments show that a single DRE architecture is at par with or exceeds state-of-the-art DNN in many data sets. Yet, because DRE neural weights are either known in closed-form or randomly drawn, its computational cost is orders of magnitude smaller than DNN.

Suggested Citation

  • Antoine Didisheim & Bryan T. Kelly & Semyon Malamud, 2022. "Deep Regression Ensembles," Swiss Finance Institute Research Paper Series 22-20, Swiss Finance Institute.
  • Handle: RePEc:chf:rpseri:rp2220
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    Cited by:

    1. Thomas Wong & Mauricio Barahona, 2023. "Deep incremental learning models for financial temporal tabular datasets with distribution shifts," Papers 2303.07925, arXiv.org, revised Oct 2023.

    More about this item

    Keywords

    Deep learning; Neural network; Random features; Ensembles;
    All these keywords.

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