From Generalized Linear Models to Neural Networks, and Back

56 Pages Posted: 9 Dec 2019 Last revised: 3 Mar 2020

Date Written: December 11, 2019


We present how to enhance classical generalized linear models by neural network features. On the way there, we highlight the traps and pitfalls that need to be avoided to get good statistical models. This includes the non-uniqueness of sufficiently good regression models, the balance property, and representation learning, which brings us back to the concept of the good old generalized linear models.

Keywords: generalized linear model, GLM, neural network, regression modeling, exponential dispersion family, deviance loss, balance property, canonical link, representation learning, regularization, LASSO, claims frequency modeling

JEL Classification: G22, C45, C52, C53

Suggested Citation

Wuthrich, Mario V., From Generalized Linear Models to Neural Networks, and Back (December 11, 2019). Available at SSRN: or

Mario V. Wuthrich (Contact Author)

RiskLab, ETH Zurich ( email )

Department of Mathematics
Ramistrasse 101
Zurich, 8092

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