Support Vector Classifiers in scikit-learn: Mathematical Detail, Part I

We present mathematical detail pertaining to the theory of support vector classifiers, focusing our attention on hard-margin linear classifiers. We describe the rationale behind support vector classifiers, and provide extensive foundational detail. We construct the primal problem and, subsequently, derive the dual problem. We also show how the primal problem can be derived from the dual problem. The paper is the first in a series, and is intended to be educational in nature.Tunawasilisha maelezo ya hisabati yanayohusiana na nadharia ya viambainishi vya vekta tegemezi, tukizingatia viainishaji vya mstari wa pembe ngumu. Tunaelezea mantiki nyuma ya viainishaji vya vekta za usaidizi, na kutoa maelezo ya kina ya msingi. Tunaunda shida ya msingi na, baadaye, kupata shida mbili. Pia tunaonyesha jinsi shida ya msingi inaweza kutolewa kutoka kwa shida mbili. Karatasi ni ya kwanza katika mfululizo, na inakusudiwa kuwa ya elimu kwa asili.(The translation into Swahili was provided by Google Translate).