In linear algebra, the restricted isometry property (RIP) characterizes matrices which are nearly orthonormal, at least when operating on sparse vectors...

element of the domain. Note that ε-isometries are not assumed to be continuous. The restricted isometry property characterizes nearly isometric matrices...

Regulation of Investigatory Powers Act 2000, a UK act of Parliament Restricted isometry property, in mathematics R.I.P. cartridge (Round, Irritant, Personnel)...

the Gaussian ensemble, a large number of matrices satisfy the restricted isometry property.[CT06] In 2007, Candes and Tao introduced a novel statistical...

"nullspace property" originates from Cohen, Dahmen, and DeVore. The nullspace property is often difficult to check in practice, and the restricted isometry property...

from the theory of compressed sensing/sampling, such as the restricted isometry property and related probabilistic recovery arguments, for sequentially...

constructions are suggested to circumvent this. Random projection Restricted isometry property Word embeddings Or any integer k > 128 ( ln ⁡ N ) / ( 9 ε 2 )...

(using the spark (mathematics), the mutual coherence or the restricted isometry property) and the level of sparsity in the solution, k {\displaystyle...

satisfy certain specific conditions such as RIP (Restricted Isometry Property) or Null-Space property in order to achieve robust sparse recovery. In the...

f_{y}\rangle d\mu (x).} k-frame Biorthogonal wavelet Orthogonal wavelet Restricted isometry property Schauder basis Harmonic analysis Fourier analysis Functional...

convergence for ℓ1 norm and superlinear for ℓt with t < 1, under the restricted isometry property, which is generally a sufficient condition for sparse solutions...

Pfetsch (2013). "The Computational Complexity of the Restricted Isometry Property, the Nullspace Property, and Related Concepts in Compressed Sensing". IEEE...

invariant subspaces of V. So V(K2) = K2. In other words, V restricted to K2 is a surjective isometry, i.e., a unitary operator U. Furthermore, each Mi is isomorphic...

form a composition algebra. The isometry property of Lorentz transformations holds according to the composition property ⁠ | p q | = | p | × | q | {\displaystyle...

bound can be constructed by Weil's theorem. Compressed sensing Restricted isometry property Babel function Tropp, J.A. (March 2006). "Just relax: Convex...

small. Here the matrix completion problem does not obey the restricted isometry property (RIP). For matrices, the RIP would assume that the sampling operator...

bijective distance-preserving function is called an isometry. One perhaps non-obvious example of an isometry between spaces described in this article is the...

(November 8, 2013). "The Computational Complexity of the Restricted Isometry Property, the Nullspace Property, and Related Concepts in Compressed Sensing". IEEE...

T : V → V′ (isometry) such that Q ( v ) = Q ′ ( T v )  for all  v ∈ V . {\displaystyle Q(v)=Q'(Tv){\text{ for all }}v\in V.} The isometry classes of n-dimensional...

for all x ∈ V . {\displaystyle x\in V.} A linear isometry (resp. an antilinear isometry) is an isometry that is also a linear map (resp. an antilinear map)...

the infinitesimal generators of isometries; that is, flows generated by Killing vector fields are continuous isometries of the manifold. This means that...

in three dimensions is an isometry group in three dimensions that leaves the origin fixed, or correspondingly, an isometry group of a sphere. It is a...

interest. Also included are the concepts of mutual coherence and restricted isometry property to establish uniqueness stability guarantees. Allow signal x...

multiples of 36°, and reflections. As isometry group there are 10 more automorphisms; they are conjugates by isometries outside the group, rotating the mirrors...

distance between all points Dini continuity Modulus of continuity Quasi-isometry Johnson–Lindenstrauss lemma – For any integer n≥0, any finite subset X⊆Rn...

isometries of finite order are of order 1, 2, 3, 4 or 6. Isometries of order n include, but are not restricted to, n-fold rotations. The theorem also excludes...

an isometry when its action is restricted onto the support of A {\displaystyle A} , that is, it means that U {\displaystyle U} is a partial isometry. As...

spacetime, i.e. they are isometries of Minkowski space. They are studied primarily in special relativity. Those isometries that leave the origin fixed...

other point by a linear isometry, then the norm is induced by an inner product. The polarization identities are not restricted to inner products. If B...

belongs to L 2 {\displaystyle L^{2}} , and the Fourier transform is an isometry with respect to the L2 norm, which is to say that ∫ − ∞ ∞ | f ( x ) | 2...