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type: Thesis
acceptance date: 2023-01-13
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creation year: 1973
description: Tematem pracy jest zagadnienie zbieżności algorytmów szukania ekstermum funkcjonału wielu zmiennych w zadaniach opisanych różnicowymi równaniami stochastycznymi. Równania tego typu opisują iteracyjne algorytmy wyznaczania ekstremum z uwzględnienem czynnika przypadkowego. Klasyczna teoria szukania przypadkowego rozważa wyłącznie algorytmy o stałych współczynnikach długości kroku roboczego i próbnego. W pracy zaproponowano algorytmy o zmiennych długościach kroków: roboczego i próbnego, i tą drogą uzyskano odpowiedniki metod aproksymacji stochastycznej w klasie algorytmów szukania przypadkowego. W ten sposób, przy zachowaniu zalet metod klasycznych, uzyskuje się bez porównania większą elsatyczność ich odpowiedników o krokach zmiennych. Uzmiennienie długości kroków wnosi jakby składnik samoczynnej adaptacji, przez co uzyskuje się zbieżność algorytmu do minimum, zmniejszenie wrażliwości szybkości działania na dobór tych długości i z reguły przyspieszenie procesu dążenia do minimum. Zaproponowane w pracy algorytmy szukania przypadkowego charakteryzują się często lepszymi własnościami zbieżnościowymi od odpowiadających im algorytmów aproksymacji stochastycznej.
destination group: uczniowie
destination group: studenci
destination group: naukowcy
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language: Polski
number of pages: 151
origin: AZON2
place of creation: Warszawa
scientific discipline: Dziedzina nauk ścisłych i przyrodniczych / informatyka (2018)
supervisor: http://id.e-science.pl/vocab/person/16901
title: Badanie zbieżności algorytmów szukania minimum w zadaniach opisywanych równaniami stochastycznymi. (PD-1973-01)

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