# Convex Optimization

> Source: https://sukruyusufkaya.com/en/glossary/konveks-optimizasyon
> Updated: 2026-05-13T21:08:50.673Z
> Type: glossary
> Category: matematik-istatistik-optimizasyon
**TLDR:** A class of optimization problems where the objective and constraints satisfy favorable geometric conditions that enable more reliable solutions.

<p>Convex optimization refers to problems whose geometry is well-behaved. If a problem is convex, any local minimum is also a global minimum, which makes optimization far more reliable. This property is extremely valuable theoretically because it simplifies the question, “Is the solution I found actually the best one?” Logistic regression, some forms of SVM, and several statistical estimation problems belong to this class. In optimization, convexity is almost like working on safe terrain.</p>