Variational Bayesian analysis of nonuniformly sampled NMR data

[1]  R. Chylla,et al.  Theory and application of the maximum likelihood principle to NMR parameter estimation of multidimensional NMR data , 1995, Journal of biomolecular NMR.

[2]  M Andrec,et al.  A Metropolis Monte Carlo implementation of bayesian time-domain parameter estimation: application to coupling constant estimation from antiphase multiplets. , 1998, Journal of magnetic resonance.

[3]  G. L. Bretthorst Bayesian analysis. V : Amplitude estimation for multiple well-separated sinusoids , 1992 .

[4]  Stephen J. Roberts,et al.  A tutorial on variational Bayesian inference , 2012, Artificial Intelligence Review.

[5]  Bhaskar D. Rao,et al.  Sparse Bayesian learning for basis selection , 2004, IEEE Transactions on Signal Processing.

[6]  Sean Gerrish,et al.  Black Box Variational Inference , 2013, AISTATS.

[7]  G Larry Bretthorst,et al.  High dynamic‐range magnetic resonance spectroscopy (MRS) time‐domain signal analysis , 2009, Magnetic resonance in medicine.

[8]  R. Chylla,et al.  Improved frequency resolution in multidimensional constant-time experiments by multidimensional Bayesian analysis , 1993, Journal of biomolecular NMR.

[9]  Mark W. Maciejewski,et al.  Data sampling in multidimensional NMR: fundamentals and strategies. , 2012, Topics in current chemistry.

[10]  S. Hyberts,et al.  Poisson-gap sampling and forward maximum entropy reconstruction for enhancing the resolution and sensitivity of protein NMR data. , 2010, Journal of the American Chemical Society.

[11]  Emmanuel J. Candès,et al.  Near-Optimal Signal Recovery From Random Projections: Universal Encoding Strategies? , 2004, IEEE Transactions on Information Theory.

[12]  E. T. Jaynes,et al.  Probability Theory as Logic , 1990 .

[13]  M. Gill,et al.  Efficient and generalized processing of multidimensional NUS NMR data: the NESTA algorithm and comparison of regularization terms , 2015, Journal of Biomolecular NMR.

[14]  L. Dou,et al.  Bayesian inference and Gibbs sampling in spectral analysis and parameter estimation: II , 1995 .

[15]  Thomas Szyperski,et al.  Reduced-dimensionality NMR spectroscopy for high-throughput protein resonance assignment , 2002, Proceedings of the National Academy of Sciences of the United States of America.

[16]  G. L. Bretthorst,et al.  Nonuniform sampling: Bandwidth and aliasing , 2001 .

[17]  G. L. Bretthorst Bayesian ANALYSIS. IV. Noise and computing time considerations , 1991 .

[18]  David J. C. MacKay,et al.  Information-Based Objective Functions for Active Data Selection , 1992, Neural Computation.

[19]  J. Griffin,et al.  Time-domain Bayesian detection and estimation of noisy damped sinusoidal signals applied to NMR spectroscopy. , 2007, Journal of magnetic resonance.

[20]  Emmanuel J. Candès,et al.  NESTA: A Fast and Accurate First-Order Method for Sparse Recovery , 2009, SIAM J. Imaging Sci..

[21]  G. L. Bretthorst Bayesian analysis. I. Parameter estimation using quadrature NMR models , 1990 .

[22]  G. Larry Bretthorst,et al.  Bayesian analysis. III. Applications to NMR signal detection, model selection, and parameter estimation , 1990 .

[23]  R. Powers,et al.  Deterministic multidimensional nonuniform gap sampling. , 2015, Journal of magnetic resonance.

[24]  A. Stern,et al.  Accelerated acquisition of high resolution triple-resonance spectra using non-uniform sampling and maximum entropy reconstruction. , 2004, Journal of magnetic resonance.

[25]  G. Larry Bretthorst,et al.  Bayesian analysis. II. Signal detection and model selection , 1990 .

[26]  Mark W Maciejewski,et al.  Formalism for hypercomplex multidimensional NMR employing partial-component subsampling. , 2013, Journal of magnetic resonance.

[27]  J. Hoch,et al.  Nonuniform sampling and spectral aliasing. , 2009, Journal of magnetic resonance.

[28]  David L Donoho,et al.  NMR data processing using iterative thresholding and minimum l(1)-norm reconstruction. , 2007, Journal of magnetic resonance.

[29]  R. Chylla,et al.  Practical Model Fitting Approaches to the Direct Extraction of NMR Parameters Simultaneously from All Dimensions of Multidimensional NMR Spectra , 1998, Journal of biomolecular NMR.