How to interpret arg min in the the following equation?

1. What does arg min mean in math?
2. What is argmin in statistics?
3. What is the significance of argmin in the assignment step equation?
4. How does argmin work?

What does arg min mean in math?

The input to a function that yields the min- imum is called the argmin, since it is the argument to the function that gives the minimum. Similarly, the argmax of a function is the input that gives the function's maximum.

What is argmin in statistics?

ArgMin is typically used to find the smallest possible values given constraints. In different areas, this may be called the best strategy, best fit, best configuration and so on. If f and cons are linear or polynomial, ArgMin will always find a global minimum.

What is the significance of argmin in the assignment step equation?

The argmin function identifies the index with the minimum distance to each cluster allowing us to assign the correct cluster label to that index.

How does argmin work?

In its simplest use, the argmin function returns the index of the minimum value of a Numpy array. So it's similar to the Numpy minimum function, but instead of returning the minimum value, it returns the index of the minimum value.