## Neutron Scattering Data Analysis 1990: Invited and Contributed Papers from the Conference on Neutron Scattering Data Analysis Held at The Rutherford Appleton Laboratory, Chilton, 14-16 March 1990 |

### From inside the book

Results 1-3 of 33

Page 5

as well as Pr(/|D) = inference In order to interpolate successfully between the

data points, our

way of encoding this (Gull [8]) is to suppose that / is a suitably blurred version of a

...

as well as Pr(/|D) = inference In order to interpolate successfully between the

data points, our

**prior**must exhibit some intrinsic spatial correlation. The naturalway of encoding this (Gull [8]) is to suppose that / is a suitably blurred version of a

...

Page 6

We proceed with the Gaussian

parameter a, called the "regularisation constant", has been introduced into these

priors, and explicitly incorporated into the notation Pr(/i|a). It effectively defines

the ...

We proceed with the Gaussian

**prior**bacause of its relative simplicity. An extraparameter a, called the "regularisation constant", has been introduced into these

priors, and explicitly incorporated into the notation Pr(/i|a). It effectively defines

the ...

Page 58

where p* is a distribution function, and b/, represents

distribution, i.e. those features which it is known p* must satisfy. This definition is

derived from quite fundamental arguments such as occur for example in

statistical ...

where p* is a distribution function, and b/, represents

**prior**knowledge about thedistribution, i.e. those features which it is known p* must satisfy. This definition is

derived from quite fundamental arguments such as occur for example in

statistical ...

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Other editions - View all

### Common terms and phrases

algorithm applications approach atoms Bayesian beam Bragg peaks calculated configuration constraints coordinates corresponding cost function cross-section crystallographic Data Anal data analysis data set defined detector bank determined diffraction data diffractometer distribution function elastic scattering energy error bars example experiment experimental Figure Fourier transform Gaussian GENIE GENIE-V3 histogram inelastic instrument intensity inverse ISIS least squares likelihood function magnetic structure magnetisation density matrix MaxEnt reconstruction Maximum Entropy McGreevy measured method molecular Monte Carlo neutron diffraction neutron scattering normalisation normalization obtained optimisation optimization problems parameters Patterson map performed Phys plot positive powder diffraction presented at Neutron prior procedure quasielastic radial distribution functions refinement reflectivity data resolution function ROTAX Rutherford Appleton Laboratory sample scan scattering law shown simulated annealing single crystal solution spectra spectrometer spectrum statistical structure factor symmetry technique temperature time-of-flight truncation UNIRAS unit cell vanadium vector wavelength workspace