An Introduction to Bayesian Scientific Computing Ten Lectures on Subjective Computing

A combination of the concepts subjective – or Bayesian – statistics and scientific computing, the book provides an integrated view across numerical linear algebra and computational statistics. Inverse problems act as the bridge between these two fields where the goal is to estimate an unknown parame...

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Bibliographic Details
Main Authors: Calvetti, Daniela, Somersalo, E. (Author)
Format: eBook
Language:English
Published: New York, NY Springer New York 2007, 2007
Edition:1st ed. 2007
Series:Surveys and Tutorials in the Applied Mathematical Sciences
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • Inverse problems and subjective computing
  • Basic problem of statistical inference
  • The praise of ignorance: randomness as lack of information
  • Basic problem in numerical linear algebra
  • Sampling: first encounter
  • Statistically inspired preconditioners
  • Conditional Gaussian densities and predictive envelopes
  • More applications of the Gaussian conditioning
  • Sampling: the real thing
  • Wrapping up: hypermodels, dynamic priorconditioners and Bayesian learning