Monotonitātes testēšana uz līnijas

6533b82dfe1ef96bd1290e0c

RESEARCH PRODUCT

Monotonitātes testēšana uz līnijas

Rolands Strakis

subject

Monotonitāte uz līnijas Datorzinātne Monotonitāte Apakš-lineāri algoritmi Īpašību testēšana

description

Darbā tiek aplūkota īpašību testēšanas paradigma un monotonitātes testēšana uz līnijas jeb funkcijas. Īpašību testēšanas paradigma ir saistīta ar apakš-lineāru algoritmu konstruēšanu, kas piekļūst tikai daļai no datiem. Balstoties uz šiem datiem, algoritms ar kādu varbūtību var noteikt, vai datiem piemīt īpašība. Pēc paradigmas principiem, algoritmam ir jāspēj noskaidrot, vai dotais datu apjoms ir monotons ātrāk, nekā lineārā laikā. Labākais iepriekšējais rezultāts monotonitātes pārbaudei funkcijai f:[n] --> [r] ir Theta(log(epsilon n)/epsilon) pie epsilon 1/2, tas ir funkcijām, kas ir ļoti tālu no monotonām. Darbā tiks pierādīta apakšējā robeža monotonitātes pārbaudei funkcijām pie epsilon > 1/2, kā arī tiks pierādīta augšēja un apakšējā robeža mazām funkcijām, kas sastāv no diviem argumentiem.

year	journal	country	edition	language
2020-01-01

https://dspace.lu.lv/dspace/handle/7/51688

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