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Rügamer, D.* ; Kolb, C.* ; Fritz, C.* ; Pfisterer, F.* ; Kopper, P.* ; Bischl, B.* ; Shen, R.* ; Bukas, C. ; Barros De Andrade E Sousa, L. ; Thalmeier, D. ; Baumann, P.F.M.* ; Kook, L.* ; Klein, N.* ; Müller, C.L.

deepregression: A flexible neural network framework for semi-structured deep distributional regression.

J. Stat. Software 105, 1-31 (2023)
Postprint DOI
In this paper we describe the implementation of semi-structured deep distributional re-gression, a flexible framework to learn conditional distributions based on the combination of additive regression models and deep networks. Our implementation encompasses (1) a modular neural network building system based on the deep learning library TensorFlow for the fusion of various statistical and deep learning approaches, (2) an orthogonaliza-tion cell to allow for an interpretable combination of different subnetworks, as well as (3) pre-processing steps necessary to set up such models. The software package allows to define models in a user-friendly manner via a formula interface that is inspired by classical statistical model frameworks such as mgcv. The package’s modular design and function-ality provides a unique resource for both scalable estimation of complex statistical models and the combination of approaches from deep learning and statistics. This allows for state-of-the-art predictive performance while simultaneously retaining the indispensable interpretability of classical statistical models.
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Publication type Article: Journal article
Document type Scientific Article
Corresponding Author
Keywords Additive Predictors ; Deep Learning ; Effect Decomposition ; Orthogonal Complement ; Penalization ; Smoothing
ISSN (print) / ISBN 1548-7660
Quellenangaben Volume: 105, Issue: 2, Pages: 1-31 Article Number: , Supplement: ,
Publisher University of California at Los Angeles
Publishing Place Ucla Dept Statistics, 8130 Math Sciences Bldg, Box 951554, Los Angeles, Ca 90095-1554 Usa
Non-patent literature Publications
Reviewing status Peer reviewed
Grants German research foundation (DFG) through the Emmy Noether grant
German Federal Ministry of Education and Research (BMBF)