---
title: "argmax"
source: https://www.jemoka.com/posts/kbhargmax/
---

function that returns the input that maximizes the expression.
finding argmax direct optimization Typical maximization system. Take derivative, set it to 0, solve, plug in, solve. THis is pretty bad during times are not differentiable.
gradient ascent We take steps following the direction
\begin{equation} \theta_{1j} = \theta_{0j} + \eta \pdv{LL(\theta_{0})}{\theta_{0j}} \end{equation}
additional information argmax of log see argmax of log
