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Optimization Basics

★★★☆☆High School

📖Definition

Optimization is finding variable values that maximize or minimize an objective function under given constraints.

📐Formulas

minₓ f(x) subject to g(x) ≤ 0, h(x) = 0

General optimization problem

∇ f(x^*) = 0

Necessary condition for unconstrained optimization

✏️Examples

예제 1

Find the minimum of f(x) = x² - 4x + 5.

Applications

Machine Learning

Loss function minimization

Economics

Utility maximization

Engineering

Design optimization

🔗Related Documents

Prerequisites

Related

#최적화#최솟값#optimization#minimum