A Probability-Based Approach to Soft Discretization for Bayesian Networks

作者: Imme Ebert-Uphoff

DOI:

关键词:

摘要: This report discusses how soft discretization can be implemented to train a discrete Bayesian Network directly from continuous data. The method consists of step that converts the variables training cases into evidence, followe d by suitable parameter learning algorithm for Network. is modificati on Maximum Likelihood Estimation which modified accept evidence as input. We also discuss use inference and convert results network meaningful output values. Most literature Bayesi an Networks proposes fuzzy set theory based membership functions. Our approach goes back one further starts out with probability density function spreads influence variable its neighbors, followed step. Thus our discreti zation theory, rather than theory. then show interesting connection between these approaches. Namely, generated through convolution, yielding probability-based Prime applications this include any system limited data whose underlying mechanism in nature. These types are common natural sciences medicine. Using continuity system, i.e. fact t hat neighboring states related each other, we hope c yield more robust accurate models small sample sizes. describes enough detail allow anyone implement it themselves. Preliminary tests indicate increased robus tness, but extensive performance new comparison traditional have yet performed.

参考文章(17)
Jianhong Wu, Guojun Gan, Chaoqun Ma, Data Clustering: Theory, Algorithms, and Applications (ASA-SIAM Series on Statistics and Applied Probability) Data Clustering: Theory, Algorithms, and Applications (ASA-SIAM Series on Statistics and Applied Probability). ,(2007)
D. Dubois, H. Prade, Fuzzy sets and probability: misunderstandings, bridges and gaps ieee international conference on fuzzy systems. pp. 1059- 1068 ,(1993) , 10.1109/FUZZY.1993.327367
Ioannis Tsamardinos, Lawrence D Fu, A comparison of Bayesian network learning algorithms from continuous data. american medical informatics association annual symposium. ,vol. 2005, pp. 960- 960 ,(2005)
Fuzzy logic and probability applications: bridging the gap Published in <b>2002</b> in Philadelphia Pa) by SIAM. ,(2002) , 10.1137/1.9780898718447
Finn B. Jensen, Thomas Graven-Nielsen, Bayesian networks and decision graphs ,(2001)
H. Pan, L. Liu, Fuzzy Bayesian networks-a general formalism for representation, inference and learning with hybrid Bayesian networks international conference on neural information processing. ,vol. 1, pp. 401- 406 ,(1999) , 10.1109/ICONIP.1999.844022
Annalisa Bracco, Fred Kucharski, Franco Molteni, Wilco Hazeleger, Camiel Severijns, A recipe for simulating the interannual variability of the Asian summer monsoon and its relation with ENSO Climate Dynamics. ,vol. 28, pp. 441- 460 ,(2007) , 10.1007/S00382-006-0190-0
Alexander J. Hartemink, Erich D. Jarvis, Paul P. Wang, Jing Yu, V. Anne Smith, Using Bayesian Network Inference Algorithms to Recover Molecular Genetic Regulatory Networks ,(2002)