Randomized vs Recursive Algorithm
Randomized algorithms suav nrog kev nkag siab ntawm randomness hauv nws cov logic los ntawm kev xaiv random thaum ua tiav ntawm algorithm. Vim qhov randomness no, tus cwj pwm ntawm cov algorithm tuaj yeem hloov pauv txawm tias muaj cov tswv yim ruaj khov. Rau ntau yam teeb meem, randomized algorithms muab cov kev daws teeb meem yooj yim tshaj plaws thiab muaj txiaj ntsig zoo. Recursive algorithms yog raws li lub tswv yim hais tias kev daws teeb meem tuaj yeem pom los ntawm kev nrhiav kev daws teeb meem me me ntawm tib qhov teeb meem. Recursion yog dav siv los nrhiav kev daws teeb meem hauv computer science thiab ntau hom lus programming siab txhawb nqa rov qab.
Dab tsi yog Randomized Algorithm?
Randomized algorithms suav nrog kev nkag siab ntawm kev sib tw los ntawm kev xaiv random uas coj kev ua tiav ntawm algorithm. Qhov no feem ntau yog ua los ntawm kev noj cov lej random tsim los ntawm tus lej pseudorandom generator ua ib qho kev tawm tswv yim ntxiv. Vim qhov no, tus cwj pwm ntawm cov algorithm tuaj yeem hloov pauv txawm tias muaj cov tswv yim ruaj khov. Quicksort yog ib qho kev paub dav dav uas siv lub tswvyim ntawm randomness thiab nws muaj lub sijhawm ua haujlwm ntawm O (n log n) tsis hais txog cov khoom nkag. Tsis tas li ntawd, randomized incremental siv txoj kev siv rau lub tsev tsim xws li convex hull nyob rau hauv xam geometry. Nyob rau hauv txoj kev no, cov ntsiab lus input yog random permuted thiab ces ntxig ib tug los ntawm ib tug mus rau lub qauv. Kev ua raws li qhov randomized algorithm yog qhov yooj yim dua li siv qhov kev txiav txim siab algorithm rau tib qhov teeb meem. Qhov kev sib tw loj tshaj plaws hauv kev tsim cov randomized algorithm yog nyob rau hauv kev ua asymptotic tsom xam rau lub sij hawm thiab qhov chaw complexity.
Recursive Algorithm yog dab tsi?
Recursive algorithms yog raws li lub tswv yim hais tias kev daws teeb meem tuaj yeem nrhiav tau los ntawm kev nrhiav kev daws teeb meem me me ntawm tib qhov teeb meem. Nyob rau hauv ib tug recursive algorithm, ib tug muaj nuj nqi yog txhais nyob rau hauv cov nqe lus ntawm lub yav dhau los version ntawm nws tus kheej. Nws yog ib qho tseem ceeb uas yuav tsum nco ntsoov tias qhov kev xa tawm tus kheej no yuav tsum muaj qhov kev txiav tawm kom tsis txhob xa nws tus kheej mus ib txhis. Qhov kev txiav tawm raug kuaj xyuas ua ntej xa nws tus kheej. Thawj kauj ruam ntawm recursive algorithm yog hais txog lub hauv paus clause ntawm recursive txhais ntawm qhov teeb meem. Cov kauj ruam uas ua raws li thawj kauj ruam yog hais txog inductive clauses ntawm qhov teeb meem. Recursive algorithms muab cov kev daws teeb meem yooj yim dua hauv ntau qhov xwm txheej thiab nws nyob ze rau txoj kev xav ntawm ntuj tsim dua li qhov rov ua dua algorithm rau tib qhov teeb meem. Tab sis feem ntau, recursive algorithms xav tau ntau lub cim xeeb thiab lawv suav nrog kim.
Qhov txawv ntawm Randomized thiab Recursive Algorithm yog dab tsi?
Random algorithms yog algorithms uas siv lub siab ntawm randomness los ntawm kev xaiv random uas tuaj yeem cuam tshuam rau kev ua tiav ntawm algorithm, thaum recursive algorithms yog algorithms uas yog raws li lub tswv yim hais tias kev daws teeb meem tuaj yeem nrhiav tau los ntawm kev nrhiav. daws cov teeb meem me me ntawm tib qhov teeb meem. Vim qhov randomness nyob rau hauv random algorithms, tus cwj pwm ntawm lub algorithm yuav hloov txawm rau tib lub tswv yim (nyob rau hauv sib txawv executions ntawm lub algorithm). Tab sis qhov no tsis tuaj yeem ua tau nyob rau hauv recursive algorithms thiab tus cwj pwm ntawm recursive algorithm yuav zoo ib yam rau cov tswv yim ruaj khov.
