What is the meaning of L1 norm, L2 norm, Max norm in Wavelet?

I want to know the exact and detailed meaning.

If you can see the meaning of L1 in the graph below?

Answer 1

[Prabhanjan Mentla]

Norm is a function that is used to measure size of a vector.

Norms of a vector x given by

The three common norms are

1) L1 norm when p=1,

2) L2 norm when p=2,

3) Max norm when .

Assume

Now coming to this question max norm is the one with maximum value (check the field with Maximum) = 1.414

Similarly you can correlate L1 norm and L2 norm.

Refer the below link for more details (slide 15)

https://www.deeplearningbook.org/slides/02_linear_algebra.pdf

[Jungtae Kim]

Thank you for your comment.

I have one question.

What does 'p' mean?

[Prabhanjan Mentla]

Just substitute 1,2,3 in Line no 2.

p >= 1 (p is any number).

If you feel this answer solved the problem, please mark it as 'accepted'.