Title: A novel approach for automatic detection of linear and nonlinear dependencies between data by means of autoencoders
Authors: Reuter, Uwe
Jayaram, Aditha
Rezkalla, Mina
Weber, Wolfgang 
Language: en
Subject (DDC): DDC::600 Technik, Medizin, angewandte Wissenschaften
Issue Date: 30-Jan-2022
Document Type: Article
Journal / Series / Working Paper (HSU): Neurocomputing 
Volume: 471
Page Start: 285
Page End: 295
Abstract: 
Autoencoders are widely used in many scientific disciplines for their good performance as so-called building blocks of deep learning. Furthermore, they have a pronounced capability for dimensionality reduction. In this paper it is shown that autoencoders can additionally be used not only to detect but to qualify dependencies among the parameters of input data sets. For doing so, a two-step approach is proposed. Herein, the identical mapping of the input data to the output layer is done with a stacked autoencoder. Evaluating respective sensitivity measures yields the sought interrelations between the input parameters, if there are any. To verify the new approach, numerical experiments are conducted with synthesized data where linear or nonlinear dependencies between the input parameters are known a priori. It is shown that the two-step approach automatically detects these dependencies for all investigated cases.
Organization Units (connected with the publication): Statik und Dynamik 
URL: https://api.elsevier.com/content/abstract/scopus_id/85120311719
ISSN: 09252312
DOI: 10.1016/j.neucom.2021.10.079
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