sparsity

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Sparsity

We denote the sparsity of a vector x by

||x||0:=#{i:xi0}=|{i:xi0}|

If ||x||0k, we say that x is k-sparse

Note

This is not a norm; it is not homogeneous.

Review

#flashcards/math/rmt

Why is the sparsity not a norm?
-?-
It is not homogenous (||cx||0=|c|||x||0 does not hold for most c)

What is the sparsity of a vector (in English)?
-?-
The number of non-zero entries

References

References

See Also

Mentions

Mentions

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