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  5. A novel approach for automatic detection of linear and nonlinear dependencies between data by means of autoencoders
 
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A novel approach for automatic detection of linear and nonlinear dependencies between data by means of autoencoders

Publication date
2022-01-30
Document type
Research article
Author
Reuter, Uwe
Jayaram, Aditha
Rezkalla, Mina
Weber, Wolfgang 
Organisational unit
Statik und Dynamik 
DOI
10.1016/j.neucom.2021.10.079
URI
https://openhsu.ub.hsu-hh.de/handle/10.24405/14242
Scopus ID
2-s2.0-85120311719
ISSN
0925-2312
1872-8286
Series or journal
Neurocomputing
Periodical volume
471
First page
285
Last page
295
Peer-reviewed
✅
Part of the university bibliography
✅
  • Additional Information
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.
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