Adaptive Bayesian Inference Framework for Joint Model and Noise Identification

2022 ◽  
Vol 148 (3) ◽  
Author(s):  
Mansureh-Sadat Nabiyan ◽  
Hamed Ebrahimian ◽  
Babak Moaveni ◽  
Costas Papadimitriou
2021 ◽  
Author(s):  
Louis Ranjard ◽  
James Bristow ◽  
Zulfikar Hossain ◽  
Alvaro Orsi ◽  
Henry J. Kirkwood ◽  
...  

2020 ◽  
Vol 39 (7) ◽  
pp. 255-266
Author(s):  
Y. Guo ◽  
M. Hašan ◽  
L. Yan ◽  
S. Zhao

2015 ◽  
Vol 31 (20) ◽  
pp. 3282-3289 ◽  
Author(s):  
Shiwei Lan ◽  
Julia A. Palacios ◽  
Michael Karcher ◽  
Vladimir N. Minin ◽  
Babak Shahbaba

Author(s):  
Amit Singer

The power spectrum of proteins at high frequencies is remarkably well described by the flat Wilson statistics. Wilson statistics therefore plays a significant role in X-ray crystallography and more recently in electron cryomicroscopy (cryo-EM). Specifically, modern computational methods for three-dimensional map sharpening and atomic modelling of macromolecules by single-particle cryo-EM are based on Wilson statistics. Here the first rigorous mathematical derivation of Wilson statistics is provided. The derivation pinpoints the regime of validity of Wilson statistics in terms of the size of the macromolecule. Moreover, the analysis naturally leads to generalizations of the statistics to covariance and higher-order spectra. These in turn provide a theoretical foundation for assumptions underlying the widespread Bayesian inference framework for three-dimensional refinement and for explaining the limitations of autocorrelation-based methods in cryo-EM.


2020 ◽  
Vol 10 (1) ◽  
Author(s):  
Yoh-ichi Mototake ◽  
Hitoshi Izuno ◽  
Kenji Nagata ◽  
Masahiko Demura ◽  
Masato Okada

2015 ◽  
Vol 2015 ◽  
pp. 1-10 ◽  
Author(s):  
Yixin Liu ◽  
Kai Zhou ◽  
Yu Lei

High temperature gas sensors have been highly demanded for combustion process optimization and toxic emissions control, which usually suffer from poor selectivity. In order to solve this selectivity issue and identify unknown reducing gas species (CO, CH4, and CH8) and concentrations, a high temperature resistive sensor array data set was built in this study based on 5 reported sensors. As each sensor showed specific responses towards different types of reducing gas with certain concentrations, based on which calibration curves were fitted, providing benchmark sensor array response database, then Bayesian inference framework was utilized to process the sensor array data and build a sample selection program to simultaneously identify gas species and concentration, by formulating proper likelihood between input measured sensor array response pattern of an unknown gas and each sampled sensor array response pattern in benchmark database. This algorithm shows good robustness which can accurately identify gas species and predict gas concentration with a small error of less than 10% based on limited amount of experiment data. These features indicate that Bayesian probabilistic approach is a simple and efficient way to process sensor array data, which can significantly reduce the required computational overhead and training data.


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