Schema Inference and Machine Learning
Schema Inference and Machine Learning
(Own Funds)
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Start date: 01/08/2018
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Acronym: SIML
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Abstract
Within the framework of the project SIML (Schema Inference and Machine Learning), unstructured and semi-structured data are to be used to generate information from which a partial conceptual schema can be derived. Methods of topological data analysis (TDA) are used in combination with machine learning techniques to automate this as far as possible. In particular, we are interested in a stable, persistent form of natural data when using unsupervised learning methods. As a core concept, functional dependencies after data processing are to be investigated, with the help of which a suitable schema can then be defined. There are parallels and differences for time series and persistent data, which are also to be worked out.
The motivation of the work is to prove that schemata have a natural geometric structure in the form of a simplicial complex which can be investigated or made visible by topological methods.
Publications
Persistent Homology as Stopping-Criterion for Voronoi Interpolation
20th International Workshop on Combinatorial Image Analysis (Novi Sad, 16/07/2020 - 18/07/2020)
In: Tibor Lukić, Reneta P. Barneva, Valentin E. Brimkov, Lidija Čomić, Nataša Sladoje (ed.): Proceedings of the 20th International Workshop on Combinatorial Image Analysis, Berlin: 2020
DOI: 10.1007/978-3-030-51002-2
URL: https://link.springer.com/book/10.1007/978-3-030-51002-2
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Estimate of the Neural Network Dimension Using Algebraic Topology and Lie Theory
Image Mining. Theory and Applications VII (Mailand, 10/01/2021 - 11/01/2021)
In: Alberto Del Bimbo, Rita Cucchiara, Stan Sciaroff, Giovanni Maria Farinella, Tao Mei, Marco Bertini, Hugo Jair Escalante, Roberto Vezzani (ed.): Pattern Recognition and Information Forensics, Schweiz: 2021
DOI: 10.1007/978-3-030-68821-9_2
URL: https://www.springer.com/gp/book/9783030688202
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Homological Time Series Analysis of Sensor Signals from Power Plants
Machine Learning for Irregular Time Series (Bilbao, 13/09/2021 - 13/09/2021)
In: Springer (ed.): Machine Learning and Principles and Practice of Knowledge Discovery in Databases, Cham: 2022
DOI: 10.1007/978-3-030-93736-2\_22
URL: https://link.springer.com/book/10.1007/978-3-030-93736-2
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