Convex Function

Domain: Math & Logic for AI

🎯 Motivation

A bowl-shaped function with one global minimum. Easy to optimize - any downhill path reaches the bottom.

📋 Concrete Example

f(x) = x squared is convex. Gradient descent always finds the bottom, no matter where you start.

🔗 Analogy

Like a smooth bowl - a marble rolled from anywhere will settle at the lowest point.