FRAKTALGA ASOSLANGAN MODELLASHTIRISH VA VIZUALIZATSIYA TIZIMLARIDA GENERATIV AI QO‘LLANILISHI
DOI:
https://doi.org/10.65164/1yfjca59Kalit so‘zlar:
fraktal geometriya, generativ sun'iy intellekt, Mandelbrot to'plami, iteratsion funksiyalar tizimi, generativ adversarial tarmoq, diffuzion model, vizualizatsiya, kompyuter grafikasi, latent fazo, gibrid modellashtirish.Abstrak
Ushbu tezisda fraktalga asoslangan modellashtirish va vizualizatsiya tizimlarida generativ sun’iy intellekt (GSI) texnologiyalarining qo‘llanilishi ilmiy jihatdan o‘rganiladi. Mandelbrot to‘plami, Julia to‘plamlari, iteratsion funksiyalar tizimi (IFS) va L-tizimlarni o‘z ichiga olgan klassik fraktal matematik aparatining generativ adversarial tarmoqlar (GAN), diffuzion modellar va variatsion avtoenkoderlar (VAE) bilan integratsiyasi tahlil qilinadi. Gibrid fraktal-AI arxitekturasi asosida yangi vizualizatsiya tizimlarini loyihalashning metodologik asoslari ishlab chiqiladi. Eksperimental natijalarga ko‘ra, gibrid tizimlar klassik fraktal usullarga nisbatan vizual sifat ko‘rsatkichlarini 32% ga, parametr nazorat moslashuvchanligini esa 48% ga oshiradi. Tadqiqot natijalari kompyuter grafikasi, tibbiy tasvirlashtirish, sun’iy muhit generatsiyasi va ilmiy vizualizatsiya sohalarida tatbiq qilish uchun amaliy ahamiyat kasb etadi.
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