Complex System Modeling with General Differential Equations solved by means of Polynomial Networks

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27240%2F15%3A86095954" target="_blank" >RIV/61989100:27240/15:86095954 - isvavai.cz</a>
Alternative codes found
RIV/61989100:27740/15:86095954
Result on the web
<a href="http://link.springer.com/chapter/10.1007/978-3-319-27644-1_7" target="_blank" >http://link.springer.com/chapter/10.1007/978-3-319-27644-1_7</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/978-3-319-27644-1_7" target="_blank" >10.1007/978-3-319-27644-1_7</a>

Result language
angličtina
Original language name
Complex System Modeling with General Differential Equations solved by means of Polynomial Networks
Original language description
Differential equations can describe physical and natural systems, which be-havior only explicit exact functions are not able to model. Complex dynamic systems are characterized by a high variability of time-fluctuating data rela-tions of a great number of state variables. Systems of differential equations can describe them but they are too unstable to be modeled unambiguously by means of standard soft computing techniques. In some cases the correct form of a differential equation might absent or it is difficult to express. Dif-ferential polynomial neural network is a new neural network type, which forms and solves an unknown general partial differential equation of an ap-proximation of a searched function, described by discrete data observations. It generates convergent sum series of relative partial polynomial derivative terms, which can substitute for a partial or/and ordinary differential equation solution. This type of non-linear regression decomposes a system model, de-scribed by
Czech name
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Czech description
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Project
<a href="/en/project/ED1.1.00%2F02.0070" target="_blank" >ED1.1.00/02.0070: IT4Innovations Centre of Excellence</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>S - Specificky vyzkum na vysokych skolach

Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
Advances in Intelligent Systems and Computing. Volume 423
ISBN
978-3-319-27642-7
ISSN
2194-5357
e-ISSN
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Number of pages
10
Pages from-to
63-67
Publisher name
Springer
Place of publication
Basel
Event location
Issyk Kul
Event date
Aug 25, 2015
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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