Arg max

High school (ages 12+)
Mathematics & Numbers

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Step 1 · Read the article

Open the article and read it at the level above. Then answer the questions below in your own words.

https://smallwhale.org/articles/arg-max

Write what each word means, using the article.

Do not copy the article. Write two things you learned, the way you would explain them to a friend.

Answers below are taken from the article’s stored facts, so they match what the student read.

1. What is the mathematical notation?Often represented as $\operatorname{argmax}{x} f(x)$
2. What is the distinction from maximum?Arg max returns the input value(s), not the maximum output value
3. What does "arg max" mean?Arg max is a math tool that tells us which input gives the biggest output of a function. It finds the spot that makes the function reach its highest value.
4. How is arg max different from just the maximum value?The maximum value is the highest number the function can reach, while arg max tells us the input that makes that number happen.

Gradient Ascent: An iterative optimization algorithm used to find local maxima of a function.
Maximum Likelihood Estimation: A statistical method for estimating the parameters of a probability distribution.
Convex Optimization: A subfield of optimization that deals with minimizing convex functions.