Compressed Oxygen in Drug Stability Experiments

Stability of l1 minimisation in compressed sensing

We discuss known results (c.f. [16, 6]) about stability of `1 minimisation (denoted ∆1) with respect to the measurement error and how those results depend on the measurement matrix Φ. Then we produce a large class of measurement matrices Φ for which we can apply results from [16] so we have estimate ‖∆1(Φ(x) + r)− x‖2 ≤ C(‖r‖2 + k−1/2σ1 k(x)). (1) We conclude with a modification of `1 minimisat...

Compressed Sensing for Multidimensional Spectroscopy Experiments.

Compressed sensing is a processing method that significantly reduces the number of measurements needed to accurately resolve signals in many fields of science and engineering. We develop a two-dimensional variant of compressed sensing for multidimensional spectroscopy and apply it to experimental data. For the model system of atomic rubidium vapor, we find that compressed sensing provides an or...

Compressed Baryonic Matter in Laboratory Experiments January 27 , 2011 Springer

A Geometrical Stability Condition for Compressed Sensing

During the last decade, the paradigm of compressed sensing has gained significant importance in the signal processing community. While the original idea was to utilize sparsity assumptions to design powerful recovery algorithms of vectors x ∈ R, the concept has been extended to cover many other types of problems. A noteable example is low-rank matrix recovery. Many methods used for recovery rel...

DFT Study on Oxygen-Vacancy Stability in Rutile/Anatase TiO2: Effect of Cationic Substitutions

In this study, a full-potential density functional theory was used to investigate the effects of Ti substitution by different cations. In both rutile and anatase, Ti atom was replaced by Ce, Au, Sn, Ag, Mo, Nb, Zr, and Y. Phase stability, electronic structure and formation energy of oxygen vacancy were compared for rutile and anatase. The results indicated that substitution of Ce and Zr increas...