restricted isometry property

[[concept]]

Topics

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$(k,\delta )$ restricted isometry property

$G$ has the $(k,\delta )$ restricted isometry property (RIP) if for all $x\ne 0$ with $||x|{|}_0\le k$ we have $(1-\delta )||x|{|}^2\le ||Gx|{|}^2\le (1+\delta )||x|{|}^2$

Remarks

NOTE

The RIP is more useful than the NSP for algorithms, especially when noise is added to $y=Gx⟹y=Gx+\epsilon$ (see restricted isometry implies nullspace property)

References

References

See Also

Mentions

Mentions

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