Compressive sensing

Holland DJ, Bostock MJ, Gladden LF, Nietlispach D (2011) Fast multidimensional NMR spectroscopy using compressed sensing. Angew Chem-Int Edit 50(29) 6548-6551... 

K. Kazimierczuk, V.Y. Orekhov, Accelerated NMR spectroscopy by using compressed sensing, Angew. Chem. Int. Ed. 50 (2011) 5556. 

When compression is applied on a polymer composite filled with conductive particles, the interparticle distance is reduced. This translates into an increase in conductivity as more electrons can flow through filler particles physically in contact and tunnel through the barriers, which under compression become thinner , and the probability that a decaying electron wave crosses over to the other end is higher. This property can be used for compression sensing. 

Donoho, D.L. (2006) Compressed sensing, IEEE Trans. Inform. Theory, 52(4) 1289-306. 

High polarization of nuclear spins through dynamic nuclear polarization in liquid state has enabled the direct monitoring of metabolites in vivo. The design and testing of the compressed sensing suited for a flyback 3D-MRSI sequence are presented. Phantom tests validated the accuracy of the compressed sensing approach and initial mouse experiments demonstrated in vivo feasibility. 

Fig. 23 Basic principle of the compression sensing mat. With a compression load, the dielectric elastomer film green) is stretched by the profile blue), giving a change in the capacitance (Figure courtesy from Dr. Holger Bose, ISC Fraunhofer, Germany)...

Y. Shrot, L. Frydman, Compressed sensing and the reconstmction of ultrafist 2D NMR data principles and biomolecular appKcations, J. Magn. Reson. 209 (2011) 352—358. 

R. Rubinstein, A.M. Bruckstein, and M. Elad, Dictionaries for Sparse Representation Modeling", IEEE Proceedings - Special Issue on Applications of Sparse Representation Compressive Sensing, Vol. 98, No. 6, pages 1045-1057, April 2010. 

Lin and Opella describe the incorporation of non-uniform sampling (NUS) compressed sensing into oriented sample solid-state NMR for stationaiy aligned samples and MAS solid-state NMR for unoriented powder samples. Both simulated and experimental results indicate that 25-33% of a full linearly sampled data set is required to reconstruct two-and three-dimensional solid-state NMR spectra with high fidelity. A modest increase in signal-to-noise ratio accompanies the reconstruction." ... 

Concha, O.P., Xu, R.Y.D., Piccardi, M. Compressive sensing of time series for human action recognition. In International Conference on Digital Image Computing Techniques and Apphcations (DICTA), pp. 454-461 (2010)... 

Hsu, D., S. Kakade, J. Langford, and T. Zhang. 2009. Multi-label prediction via compressed sensing. Advances in Neural Information Processing Systems 22 Proceedings of the 23rd Annual Conference on Neural Information Processing Systems, Vancouver, Canada, December 7-10,2009. 

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