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Bayesian Interpolation (1991)  (Make Corrections)  (244 citations)
David J.C. MacKay
Neural Computation



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Abstract: Although Bayesian analysis has been in use since Laplace, the Bayesian method of model--comparison has only recently been developed in depth. In this paper, the Bayesian approach to regularisation and model--comparison is demonstrated by studying the inference problem of interpolating noisy data. The concepts and methods described are quite general and can be applied to many other problems. Regularising constants are set by examining their posterior probability distribution. Alternative... (Update)

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BibTeX entry:   (Update)

D.J.C. MacKay. Bayesian interpolation. Neural Computation, 4(3):415--447, May 1992. http://citeseer.ist.psu.edu/article/mackay91bayesian.html   More

@article{ mackay92bayesian,
    author = "MacKay, D. J. C.",
    title = "{B}ayesian Interpolation",
    journal = "Neural Computation",
    volume = "4",
    number = "3",
    pages = "415--447",
    year = "1992",
    url = "citeseer.ist.psu.edu/article/mackay91bayesian.html" }
Citations (may not include all citations):
475   Estimating the dimension of a model (context) - Schwarz - 1978
452   Statistical decision theory and Bayesian analysis (context) - Berger - 1985
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136   An information measure for classification (context) - Wallace, Boulton - 1968
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108   Theory of Probability (context) - Jeffreys - 1939
85   Bounds on the sample complexity of Bayesian learning using i.. - Haussler, Kearns et al. - 1991
61   A practical Bayesian framework for backprop networks - MacKay - 1991
50   Developments in Maximum entropy data analysis (context) - Gull - 1989
41   Bayesian inductive inference and maximum entropy (context) - Gull - 1988
29   Common structure of smoothing techniques in statistics (context) - Titterington - 1985
18   Quantified Maximum Entropy (context) - Gull, Skilling - 1991
13   Bayesian methods: general background - Jaynes - 1986
11   Probabilistic displays (context) - Skilling, Robinson et al. - 1991
10   The eigenvalues of mega--dimensional matrices (context) - Skilling - 1989
9   Bayesian data analysis: straight--line fitting (context) - Gull - 1989
8   Bayesian mixture modeling by Monte Carlo simulation - Neal - 1991
5   On parameter estimation and quantified MaxEnt (context) - Skilling - 1991
5   Optimization in the regularization of ill--posed problems (context) - Davies, Anderssen - 1986
3   Bayesian interpolation (context) - Sibisi - 1990
2   Bayesian Analysis (context) - Bretthorst - 1990



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