What are Different Types of Vector Normalization?

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The discussion focuses on the need to specify types of vector normalization, particularly distinguishing between max-normalization and Euclidean normalization. One participant seeks terminology to succinctly describe the process of dividing each element by the largest element in the vector. It is clarified that simply stating normalization to a range of 0 to 1 does not inherently imply max-normalization. Additionally, the importance of addressing negative components in normalization is highlighted, as failing to do so could compromise the norm property. Clear terminology is essential for effective communication in mathematical contexts.
juliette sekx
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I want to write that I'm normalizing a vector, but I need to specify what TYPE of normalization I'm doing.

I want to say that I'm dividing each element by the largest element in the vector, rather than something else like dividing all elements by the Euclidean length of the vector or something like that.

Is there a word for these two types of normalization, so that I don't need to explain what I'm doing in words ?? Like for ex. "max-normalization" and "Euclidean Normalization" ??

If I said that I'm normalizing the elements to lie between 0 and 1, would it be obvious that I'm dividing each element by the largest element in the vector ??

THank you.
 
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juliette sekx said:
I want to write that I'm normalizing a vector, but I need to specify what TYPE of normalization I'm doing.

I want to say that I'm dividing each element by the largest element in the vector, rather than something else like dividing all elements by the Euclidean length of the vector or something like that.
So you use the maximum norm ...
Is there a word for these two types of normalization, so that I don't need to explain what I'm doing in words ?? Like for ex. "max-normalization" and "Euclidean Normalization" ??
... and the Euclidean norm.
If I said that I'm normalizing the elements to lie between 0 and 1, would it be obvious that I'm dividing each element by the largest element in the vector ??
No. This would not be the only possibility.
THank you.
Also you have to specify how you deal with negative components. You might lose the norm property if you don't apply absolute values first.
 
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