INVERSE PROBLEMS IN LEARNING FROM DATA

Věra Kůrková

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Paper

INVERSE PROBLEMS IN LEARNING FROM DATA

Topics: Learning Paradigms and Algorithms

In Proceedings of the International Conference on Fuzzy Computation and 2nd International Conference on Neural Computation - Volume 1: ICNC, 316-321, 2010 , Valencia, Spain

Author: Věra Kůrková

Affiliation: Academy of Sciences of the Czech Republic, Czech Republic

Keyword(s): Learning from data, Minimization of empirical and expected error functionals, Reproducing kernel Hilbert spaces.

Related Ontology Subjects/Areas/Topics: Artificial Intelligence ; Biomedical Engineering ; Biomedical Signal Processing ; Computational Intelligence ; Health Engineering and Technology Applications ; Human-Computer Interaction ; Learning Paradigms and Algorithms ; Methodologies and Methods ; Neural Networks ; Neurocomputing ; Neurotechnology, Electronics and Informatics ; Pattern Recognition ; Physiological Computing Systems ; Sensor Networks ; Signal Processing ; Soft Computing ; Theory and Methods

Abstract: It is shown that application of methods from theory of inverse problems to learning from data leads to simple proofs of characterization of minima of empirical and expected error functionals and their regularized versions. The reformulation of learning in terms of inverse problems also enables comparison of regularized and non regularized case showing that regularization achieves stability by merely modifying output weights of global minima. Methods of theory of inverse problems lead to choice of reproducing kernel Hilbert spaces as suitable ambient function spaces.

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Paper citation in several formats:

Kůrková, V. (2010). INVERSE PROBLEMS IN LEARNING FROM DATA. In Proceedings of the International Conference on Fuzzy Computation and 2nd International Conference on Neural Computation (IJCCI 2010) - ICNC; ISBN 978-989-8425-32-4, SciTePress, pages 316-321. DOI: 10.5220/0003079003160321

@conference{icnc10,
author={Věra Kůrková.},
title={INVERSE PROBLEMS IN LEARNING FROM DATA},
booktitle={Proceedings of the International Conference on Fuzzy Computation and 2nd International Conference on Neural Computation (IJCCI 2010) - ICNC},
year={2010},
pages={316-321},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0003079003160321},
isbn={978-989-8425-32-4},
}

TY - CONF

JO - Proceedings of the International Conference on Fuzzy Computation and 2nd International Conference on Neural Computation (IJCCI 2010) - ICNC
TI - INVERSE PROBLEMS IN LEARNING FROM DATA
SN - 978-989-8425-32-4
AU - Kůrková, V.
PY - 2010
SP - 316
EP - 321
DO - 10.5220/0003079003160321
PB - SciTePress