| Title:
|
A method for knowledge integration (English) |
| Author:
|
Janžura, Martin |
| Author:
|
Boček, Pavel |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
34 |
| Issue:
|
1 |
| Year:
|
1998 |
| Pages:
|
[41]-55 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
With the aid of Markov Chain Monte Carlo methods we can sample even from complex multi-dimensional distributions which cannot be exactly calculated. Thus, an application to the problem of knowledge integration (e. g. in expert systems) is straightforward. (English) |
| Keyword:
|
Markov chain Monte Carlo |
| Keyword:
|
multi-dimensional distribution |
| Keyword:
|
Gibbs distribution |
| Keyword:
|
sampled data |
| Keyword:
|
knowledge integration |
| Keyword:
|
expert systems |
| MSC:
|
60J10 |
| MSC:
|
60J22 |
| MSC:
|
62H99 |
| MSC:
|
65C05 |
| MSC:
|
65C40 |
| MSC:
|
68T30 |
| MSC:
|
68T35 |
| idZBL:
|
Zbl 1274.65004 |
| idMR:
|
MR1619054 |
| . |
| Date available:
|
2009-09-24T19:13:32Z |
| Last updated:
|
2015-03-27 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/135184 |
| . |
| Reference:
|
[1] Besag J.: On the statistical analysis of dirty pictures (with discussion).J. Roy. Statist. Soc. Ser. B 48 (1986), 259–302 Zbl 0609.62150, MR 0876840 |
| Reference:
|
[2] Gallager R.: Information Theory and Reliable Communication.J. Wiley, New York 1968 Zbl 0295.94001 |
| Reference:
|
[3] Gelfand A. E., Smith A. F. M.: Sampling–based approaches to calculating marginal densities.J. Amer. Statist. Assoc. 85 (1990), 398–409 Zbl 0702.62020, MR 1141740, 10.1080/01621459.1990.10476213 |
| Reference:
|
[4] Geman D., Geman S.: Stochastic relaxation, Gibbs distributions, and the Bayesian restoration of images.IEEE Trans. Pattern Anal. Mach. Intell. 6 (1984), 721–741 Zbl 0573.62030, 10.1109/TPAMI.1984.4767596 |
| Reference:
|
[5] Gilks W. R., Richardson S., (eds.) D. J. Spiegelhalter: Markov Chain Monte Carlo in Practice.Chapman and Hall, London 1996 Zbl 0832.00018, MR 1397966 |
| Reference:
|
[6] Hadley G.: Linear Programming.Addison Wesley, Reading 1962 Zbl 0102.36304, MR 0135622 |
| Reference:
|
[7] Janžura M., Přeučil S.: An expert system based on the simulated annealing algorithm.In: WUPES 91, Prague 1991 |
| Reference:
|
[8] Lauritzen S. L.: Graphical Models.University Press, Oxford 1996 Zbl 1055.62126, MR 1419991 |
| Reference:
|
[9] Matúš F.: On iterations of average of $I$-projections.In: Highly Structured Stochastic Systems. Rebild, Denmark 1996 |
| Reference:
|
[11] Moussouris J.: Gibbs and Markov random systems with constraints.J. Statist. Phys. 10 (1974), 1, 11–33 MR 0432132, 10.1007/BF01011714 |
| Reference:
|
[12] Perez A.: Barycenter of a set of probability measures and its application in statistical decision.In: Proceedings COMPSTAT 1984, Physica–Verlag, Wien 1984, pp. 154–159 Zbl 0577.62011, MR 0806993 |
| Reference:
|
[13] Winkler G.: Image Analysis, Random Fields and Dynamic Monte Carlo Methods.Springer–Verlag, Berlin 1995 Zbl 0821.68125, MR 1316400 |
| . |
