(4) OPTIMIZATION: Finding the Interval that Contains the Minumum

Initial Bracketing Algorithm

In previous articles, we learned how to verify if a particular point meets the necessary conditions to be a minimum of a function, both for univariate and multivariate functions.

(2) OPTIMIZATION: Understanding the Importance of Derivatives

(3) OPTIMIZATION: Partial Derivatives and Gradients for Multivariate Functions

In this article, we will learn how to find an initial interval that contains the minimum for a univariate function.

→ The process of finding an initial interval that contains the minimum is called BRACKETING. Once a bracket is defined, other optimization techniques can be used to narrow down the search and find the minimum.

→ In Machine Learning we use optimization to find the minimum for the Loss Function. You can read more about Loss Functions here.