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Modeliranje naravnih pojavov s samoorganizacijsko regresijsko nevronsko mrežo : magistrsko deloKokol, Miran, 1964-V magistrskem delu rešujemo nalogo, kako empirično modelirati funkcijsko zvezo med neodvisno in odvisno mersko spremenljivko, če pomerimo končno število zasumljenih vrednosti ene in druge ... spremenljivke. Za modeliranje uporabimo regresijski pristop prve vrste. Z metodo najmanjših kvadratov izpeljemo optimalno zvezo v obliki pogojnega povprečja. V ta namen potrebujemo povezano gostoto verjetnosti, ki jo zapišemo kot vsoto Gaussovih funkcij. Izračunamo pogojno povprečje in ga predstavimo v obliki nevronske mreže. Srednja plast v nevronski mreži ima lokalizirane aktivacijske funkcije, pri čemer je polje občutljivosti posameznega nevrona eliptične oblike. Parametre v povezani gostoti verjetnosti ocenimo s primerjavo parametrične in empirične gostote verjetnosti. Primerjavo naredimo na na dva načina: po kriteriju maksimalne entropije informacije in po kriteriju najmanjše kvadratne napake. Oba kriterija optimiramo in izpeljemo iterativne in adaptivne enačbe za izračun parametrov. Z računalniškimi simulacijami predstavimo eno in dvo dimenzionalne primere za obe metodi. Najprej pregledamo sposobnosti obeh metod za oceno gostote verjetnosti. Metoda maksimalne entropije informacije daje bolj valovite ocene, metoda najmanjše kvadratne napake pa je bolj gladka, a dela večjo napako na robovih porazdelitve. Na koncu pokažemo nekaj primerov regresijskih krivulj, ki jih izračunamo z eliptičnimi in s krožnimi lokaliziranimi funkcijami. Eliptične funkcije se izkažejo kot mnogo primernejše za oceno regresijske krivulje.Type of material - master's thesisPublication and manufacture - Ljubljana : [M. Kokol], 1993Language - slovenianCOBISS.SI-ID - 2942491
Author
Kokol, Miran, 1964-
Other authors
Grabec, Igor
Topics
pojavi naravni |
modeliranje pojavov |
mreže nevronske |
modeliranje |
metode najmanjših kvadratov |
metode maksimalne entropije informacije |
simuliranje računalniško
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Library/institution |
City | Acronym | For loan | Other holdings |
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FMF, Physical, Astronomical and Meteorological Library, Ljubljana | Ljubljana | FMFFIZ |
reading room 1 cop.
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Year | Impact factor | Edition | Category | Classification | ||||
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JCR | SNIP | JCR | SNIP | JCR | SNIP | JCR | SNIP |
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DRS, in which the journal is indexed
Database name | Field | Year |
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Links to authors' personal bibliographies | Links to information on researchers in the SICRIS system |
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Kokol, Miran, 1964- | 11438 |
Grabec, Igor | 00800 |
Source: Personal bibliographies
and: SICRIS
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