Results 1  10
of
246
SEMIGROUPS OF POSITIVE OPERATORS ON AN ATOMIC NORMED RIESZ SPACE
, 1998
"... Triangularizing semigroups of positive operators on an atomic normed Riesz space ..."
Abstract
 Add to MetaCart
Triangularizing semigroups of positive operators on an atomic normed Riesz space
Structured estimation with atomic norms: General bounds and applications.
 In Advances in Neural Information Processing Systems,
, 2015
"... Abstract For structured estimation problems with atomic norms, recent advances in the literature express sample complexity and estimation error bounds in terms of certain geometric measures, in particular Gaussian width of the unit norm ball, Gaussian width of a spherical cap induced by a tangent c ..."
Abstract

Cited by 1 (1 self)
 Add to MetaCart
Abstract For structured estimation problems with atomic norms, recent advances in the literature express sample complexity and estimation error bounds in terms of certain geometric measures, in particular Gaussian width of the unit norm ball, Gaussian width of a spherical cap induced by a tangent
Atomic norm denoising with applications to line spectral estimation
, 2012
"... The subNyquist estimation of line spectra is a classical problem in signal processing, but currently popular subspacebased techniques have few guarantees in the presence of noise and rely on a priori knowledge about system model order. Motivated by recent work on atomic norms in inverse problems, ..."
Abstract

Cited by 29 (4 self)
 Add to MetaCart
The subNyquist estimation of line spectra is a classical problem in signal processing, but currently popular subspacebased techniques have few guarantees in the presence of noise and rely on a priori knowledge about system model order. Motivated by recent work on atomic norms in inverse problems
ForwardBackward Greedy Algorithms for Atomic Norm Regularization
, 2014
"... In many signal processing applications, one aims to reconstruct a signal that has a simple representation with respect to a certain basis or frame. Fundamental elements of the basis known as “atoms ” allow us to define “atomic norms” that can be used to construct convex regularizers for the reconstr ..."
Abstract
 Add to MetaCart
In many signal processing applications, one aims to reconstruct a signal that has a simple representation with respect to a certain basis or frame. Fundamental elements of the basis known as “atoms ” allow us to define “atomic norms” that can be used to construct convex regularizers
Linear System Identification via Atomic Norm Regularization
"... This paper proposes a new algorithm for linear system identification from noisy measurements. The proposed algorithm balances a data fidelity term with a norm induced by the set of single pole filters. We pose a convex optimization problem that approximately solves the atomic norm minimization probl ..."
Abstract

Cited by 11 (0 self)
 Add to MetaCart
This paper proposes a new algorithm for linear system identification from noisy measurements. The proposed algorithm balances a data fidelity term with a norm induced by the set of single pole filters. We pose a convex optimization problem that approximately solves the atomic norm minimization
Conditional Gradient with Enhancement and Truncation for AtomicNorm Regularization
"... In many applications in signal and image processing, communications, and system identification, one aims to recover a signal that has a simple representation in a given basis or frame. Fundamental basis elements called atoms, and norms defined in terms of these atoms, are key devices for obtaining ..."
Abstract

Cited by 1 (1 self)
 Add to MetaCart
In many applications in signal and image processing, communications, and system identification, one aims to recover a signal that has a simple representation in a given basis or frame. Fundamental basis elements called atoms, and norms defined in terms of these atoms, are key devices for obtaining
ATOMIC DECOMPOSITION BY BASIS PURSUIT
, 1995
"... The TimeFrequency and TimeScale communities have recently developed a large number of overcomplete waveform dictionaries  stationary wavelets, wavelet packets, cosine packets, chirplets, and warplets, to name a few. Decomposition into overcomplete systems is not unique, and several methods for d ..."
Abstract

Cited by 2728 (61 self)
 Add to MetaCart
the smallest l 1 norm of coefficients among all such decompositions. We give examples exhibiting several advantages over MOF, MP and BOB, including better sparsity, and superresolution. BP has interesting relations to ideas in areas as diverse as illposed problems, in abstract harmonic analysis, total
Uncertainty principles and ideal atomic decomposition
 IEEE Transactions on Information Theory
, 2001
"... Suppose a discretetime signal S(t), 0 t<N, is a superposition of atoms taken from a combined time/frequency dictionary made of spike sequences 1ft = g and sinusoids expf2 iwt=N) = p N. Can one recover, from knowledge of S alone, the precise collection of atoms going to make up S? Because every d ..."
Abstract

Cited by 583 (20 self)
 Add to MetaCart
/frequency dictionary, then there is only one such highly sparse representation of S, and it can be obtained by solving the convex optimization problem of minimizing the `1 norm of the coe cients among all decompositions. Here \highly sparse " means that Nt + Nw < p N=2 where Nt is the number of time atoms, Nw
SUBMITTED TO IEEE TRANSACTIONS ON SIGNAL PROCESSING 1 Enhancing Sparsity and Resolution via Reweighted Atomic Norm Minimization
"... Abstract—The mathematical theory of superresolution developed recently by Candès and FernandesGranda states that a continuous, sparse frequency spectrum can be recovered with infinite precision via a (convex) atomic norm technique given a set of regularly spaced timespace samples. This theory w ..."
Abstract
 Add to MetaCart
Abstract—The mathematical theory of superresolution developed recently by Candès and FernandesGranda states that a continuous, sparse frequency spectrum can be recovered with infinite precision via a (convex) atomic norm technique given a set of regularly spaced timespace samples. This theory
Triangularizing semigroups of positive operators on an atomic normed Riesz space
 Proc. Edinburgh Math. Soc
"... In the first part of the paper we prove several results on the existence ..."
Abstract

Cited by 6 (1 self)
 Add to MetaCart
In the first part of the paper we prove several results on the existence
Results 1  10
of
246