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Cinitiator
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Which branch of mathematics does arg max come from? The set theory?
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Which branch of mathematics does arg max come from?
- Thread starter Cinitiator
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In summary, Arg max is a mathematical function commonly used in optimization problems to find the maximum value of a given function. It is often used in the fields of calculus, linear algebra, and optimization, as well as in machine learning and statistics. Arg max differs from max in that it returns the input value that produces the maximum value, rather than the maximum value itself. It can be used in any function with a defined maximum value, but is most commonly used in continuous, differentiable functions. In practical applications, arg max is used in machine learning algorithms, optimization problems, and statistics to find the most efficient or likely values.
Which branch of mathematics does arg max come from? The set theory?
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Ray Vickson
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Cinitiator said:Homework Statement
Which branch of mathematics does arg max come from? The set theory?
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The Attempt at a Solution
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It does not "come from" any particular branch, but is very commonly used in Optimization theory and practice---as does the corresponding term "argmin". It is a lot easier to say [itex] x_0 = \text{argmax} f(x) [/itex] than to say " [itex] x_0[/itex] is the x that maximizes f(x)".
RGV
Related to Which branch of mathematics does arg max come from?
What is the definition of arg max in mathematics?
Arg max is a mathematical function that returns the input value that maximizes a given function. It is often used in optimization problems to find the maximum value of a given function.
Which branch of mathematics uses arg max?
Arg max is commonly used in the fields of calculus, linear algebra, and optimization. It is also frequently used in machine learning and statistics.
How is arg max different from max in mathematics?
Max is a function that returns the maximum value of a given set of numbers, while arg max returns the input value that produces the maximum value of a given function. In other words, max returns the result of the function, while arg max returns the input that produces that result.
Can arg max be used in any type of mathematical function?
Arg max can be used in any function that has a defined maximum value. However, it is most commonly used in continuous functions that are differentiable, meaning that they have a well-defined derivative at every point.
How is arg max used in practical applications?
Arg max is used in a variety of practical applications, such as machine learning algorithms, where it is used to find the best parameters for a given model. It is also used in optimization problems, such as finding the most efficient route for a delivery truck. Additionally, it is used in statistics to determine the most likely value of a random variable.
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