This paper studies the effect of discretizing the parametrization of a dictionary used for Matching Pursuit decompositions of signals. Our approach relies on viewing the continuously parametrized dictionary as an embedded manifold in the signal space on which the tools of differential (Riemannian) geometry can be applied. The main contribution of this paper is twofold. First, we prove that if a...

On [24] some consequences of the Restricted Isometry Property (RIP) of matrices have been applied to develop a greedy algorithm called “ROMP” (Regularized Orthogonal Matching Pursuit) to recover sparse signals and to approximate non-sparse ones. These consequences were subsequently applied to other greedy and thresholding algorithms like “SThresh”, “CoSaMP”, “StOMP” and “SWCGP”. In this paper, ...

Representing signals with sparse vectors has a wide range of applications that from image and video coding to shape representation health monitoring. In many real-time requirements, or deal high-dimensional signals, the computational complexity encoder finds plays an important role. Quantum computing recently shown promising speed-ups in learning tasks. this work, we propose quantum version wel...

Tonic sympathetic arousal is often inferred from spontaneous fluctuations in skin conductance, and this relies on assumptions about the shape of these fluctuations and how they are generated. We have previously furnished a psychophysiological model for this relation, and an efficient and reliable inversion method to estimate tonic arousal from given data in the framework of dynamic causal model...

A new steganographic algorithm for color images (MPSteg-color) is presented based on Matching Pursuit (MP) decomposition of the host image. With respect to previous works operating in the MP domain, the availability of three color bands is exploited to avoid the instability of the decomposition path and to randomize it for enhanced security. A selection and an update rule working entirely in th...

background: with increasing age, some changes appeared in specifications of vessels which including dimensions and elasticity in their. the changes in parameters such as resistance, inertance and compliance vessels appear and eventually changes in the environmental pulse releases are in circulation. these changes clearly appear in specification of photoplethysmogram particularly in the size and...

We present and evaluate a novel idea for scalable lossy colour image coding with Matching Pursuit (MP) performed in a transform domain. The idea is to exploit correlations in RGB colour space between image subbands after wavelet transformation rather than in the spatial domain. We propose a simple quantisation and coding scheme of colour MP decomposition based on Run Length Encoding (RLE) which...