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  2. Maximum a posteriori estimation - Wikipedia

    en.wikipedia.org/.../Maximum_a_posteriori_estimation

    An estimation procedure that is often claimed to be part of Bayesian statistics is the maximum a posteriori (MAP) estimate of an unknown quantity, that equals the mode of the posterior density with respect to some reference measure, typically the Lebesgue measure.

  3. Posterior probability - Wikipedia

    en.wikipedia.org/wiki/Posterior_probability

    From a given posterior distribution, various point and interval estimates can be derived, such as the maximum a posteriori (MAP) or the highest posterior density interval (HPDI). [4] But while conceptually simple, the posterior distribution is generally not tractable and therefore needs to be either analytically or numerically approximated. [5]

  4. Laplace's approximation - Wikipedia

    en.wikipedia.org/wiki/Laplace's_approximation

    where ^ is the location of a mode of the joint target density, also known as the maximum a posteriori or MAP point and is the positive definite matrix of second derivatives of the negative log joint target density at the mode = ^. Thus, the Gaussian approximation matches the value and the log-curvature of the un-normalised target density at the ...

  5. Blind deconvolution - Wikipedia

    en.wikipedia.org/wiki/Blind_deconvolution

    Blind deconvolution can be performed iteratively, whereby each iteration improves the estimation of the PSF and the scene, or non-iteratively, where one application of the algorithm, based on exterior information, extracts the PSF. Iterative methods include maximum a posteriori estimation and expectation-maximization algorithms. A good estimate ...

  6. Expectation–maximization algorithm - Wikipedia

    en.wikipedia.org/wiki/Expectation–maximization...

    The EM method was modified to compute maximum a posteriori (MAP) estimates for Bayesian inference in the original paper by Dempster, Laird, and Rubin. Other methods exist to find maximum likelihood estimates, such as gradient descent, conjugate gradient, or variants of the Gauss–Newton algorithm. Unlike EM, such methods typically require the ...

  7. Nested sampling algorithm - Wikipedia

    en.wikipedia.org/wiki/Nested_sampling_algorithm

    Skilling's own code examples (such as one in Sivia and Skilling (2006), [6] available on Skilling's website) chooses a random existing point and selects a nearby point chosen by a random distance from the existing point; if the likelihood is better, then the point is accepted, else it is rejected and the process repeated.

  8. Viterbi algorithm - Wikipedia

    en.wikipedia.org/wiki/Viterbi_algorithm

    The Viterbi algorithm is a dynamic programming algorithm for obtaining the maximum a posteriori probability estimate of the most likely sequence of hidden states—called the Viterbi path—that results in a sequence of observed events.

  9. Bayes estimator - Wikipedia

    en.wikipedia.org/wiki/Bayes_estimator

    The closer v (the number of ratings for the film) is to zero, the closer W is to C, where W is the weighted rating and C is the average rating of all films. So, in simpler terms, the fewer ratings/votes cast for a film, the more that film's Weighted Rating will skew towards the average across all films, while films with many ratings/votes will ...

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