Modeling with Fuzzy Transforms - a New Tool of Data Mining and Quantitative Finance
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F17%3AA1801P4K" target="_blank" >RIV/61988987:17610/17:A1801P4K - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Modeling with Fuzzy Transforms - a New Tool of Data Mining and Quantitative Finance
Original language description
The theory of fuzzy (F)-transforms relates to a modern mathematical modeling. It provides a (dimensionally) reduced and robust representation of original data. It is based on a granulation of a domain (fuzzy partition) and gives a tractable image of an original data. The main characteristics with respect to input data: size reduction, noise removal, invariance to geometrical transformations, knowledge transfer from conventional mathematics, fast computation. The F-transform has been applied to: image processing, computer vision, on-line pattern recognition in big data bases, time series analysis and forecasting, mathematical finance, numerical methods for differential equations, deep learning neural networks. In this contribution, we show that the technique of F-transforms fully agrees with the technique of dimensionality reduction, based on Laplacian eigenmaps. In the application part, we give an overview of the F-transform applications to mathematical finance.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
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OECD FORD branch
10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)
Result continuities
Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
2017 6th Int. Conf. on Reliability, Infocom Technologies and Optimization (ICRITO)
ISBN
978-93-86238-31-3
ISSN
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e-ISSN
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Number of pages
5
Pages from-to
17-21
Publisher name
Excellent Publishing House
Place of publication
Amity University, Uttar Pradesh, Noida, India
Event location
Noida, India
Event date
Sep 20, 2017
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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