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Improving power posterior estimation of statistical evidence
Marginal likelihood Markov chain Monte Carlo Power posteriors Statistical evidence Tempering Thermo dynamic integration
2012/11/22
The statistical evidence (or marginal likelihood) is a key quantity in Bayesian statistics, allowing one to assess the probability of the data given the model under investigation. This paper focuses o...
Level set estimation from projection measurements: Performance guarantees and fast computation
estimation projection measurements Performance guarantees fast computation
2012/11/22
Estimation of the level set of a function (i.e., regions where the function exceeds some value) is an important problem with applications in digital elevation mapping, medical imaging, astronomy, etc....
Nonparametric estimation in hidden Markov models
Nonparametric estimation hidden Markov models
2012/11/22
This paper outlines a new procedure to perform nonparametric estimation in hidden Markov models. It is assumed that a Markov chain (Xk) is observed only through a process (Yk), where Yk is a noisy obs...