17.5 文献笔记

17.5 文献笔记

定义和理解图模型结构做了很多工作。对图模型系统的处理可以在Whittaker(1990)1,Lauritzen(1996)2,Cox and Wermuth(1996)3,Edwards(2000)4,Pearl(2000)5,Anderson(2003)6,Jordan(2004)7,以及Koller and Friedman(2007)8中找到。Wasserman(2004)9给了简短的介绍,而且Bishop(2006)10的第8章给了更详细的概要。玻尔兹曼机在Ackley et al. (1985)11中提出。Ripley(1996)12有详细的一章来介绍与机器学习有关的图模型。我们发现这对于玻尔兹曼机的讨论特别有用。


1

Whittaker, J. (1990). Graphical Models in Applied Multivariate Statistics, Wiley, Chichester.

2

Lauritzen, S. (1996). Graphical Models, Oxford University Press.

3

Cox, D. and Wermuth, N. (1996). Multivariate Dependencies: Models, Analysis and Interpretation, Chapman and Hall, London.

4

Edwards, D. (2000). Introduction to Graphical Modelling, 2nd Edition, Springer, New York.

5

Pearl, J. (2000). Causality: Models, Reasoning and Inference, Cambridge University Press.

6

Anderson, T. (2003). An Introduction to Multivariate Statistical Analysis, 3rd ed., Wiley, New York.

7

Jordan, M. (2004). Graphical models, Statistical Science (Special Issue on Bayesian Statistics) 19: 140–155.

8

Koller, D. and Friedman, N. (2007). Structured Probabilistic Models, Stanford Bookstore Custom Publishing. (Unpublished Draft).

9

Wasserman, L. (2004). All of Statistics: a Concise Course in Statistical Inference, Springer, New York.

10

Bishop, C. (2006). Pattern Recognition and Machine Learning, Springer, New York.

11

Ackley, D. H., Hinton, G. and Sejnowski, T. (1985). A learning algorithm for Boltzmann machines, Trends in Cognitive Sciences 9: 147–169.

12

Ripley, B. D. (1996). Pattern Recognition and Neural Networks, Cambridge University Press.