RIP (Restricted Isometry Property)

GPTKB entity

Statements (16)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:appliesTo matrices
gptkbp:defines A matrix A satisfies the RIP of order k if for all k-sparse vectors x, (1-δ)||x||^2 ≤ ||Ax||^2 ≤ (1+δ)||x||^2 for some δ in (0,1)
gptkbp:describes how well a matrix preserves the length of sparse vectors
gptkbp:field gptkb:mathematics
compressed sensing
https://www.w3.org/2000/01/rdf-schema#label RIP (Restricted Isometry Property)
gptkbp:introduced gptkb:Terence_Tao
gptkb:Emmanuel_Candès
gptkbp:introducedIn 2005
gptkbp:relatedTo sparse recovery
l1 minimization
gptkbp:usedIn gptkb:signal_processing
compressed sensing theory
gptkbp:bfsParent gptkb:Emmanuel_Candès
gptkbp:bfsLayer 8