restricted isometry property

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at DataviewInlineApi.eval (plugin:dataview:19027:21)
at evalInContext (plugin:dataview:19028:7)
at asyncEvalInContext (plugin:dataview:19038:32)
at DataviewJSRenderer.render (plugin:dataview:19064:19)
at DataviewJSRenderer.onload (plugin:dataview:18606:14)
at DataviewJSRenderer.load (app://obsidian.md/app.js:1:1182416)
at DataviewApi.executeJs (plugin:dataview:19607:18)
at DataviewCompiler.eval (plugin:digitalgarden:10763:23)
at Generator.next (<anonymous>)
at eval (plugin:digitalgarden:90:61)

(k, δ)

$G$ has the $(k, δ)$ restricted isometry property (RIP) if for all $x \neq 0$ with $| | x | |_{0} \leq k$ we have

(1-\delta)\lvert \lvert x \rvert \rvert {#2} \leq \lvert \lvert Gx \rvert \rvert {#2} \leq (1+\delta) \lvert \lvert x \rvert \rvert {#2}

Remarks

Note

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

References

See Also

Mentions

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