Ambiguity Reduction Based on Qualitative Mutual Information in Qualitative Probabilistic Networks
L Ya-Li1,2, LIAO Shi-Zhong1
1.School of Computer Science and Technology, Tianjin University, Tianjin 300072 2.School of Information Management, Shanxi University of Finance and Economics, Taiyuan 030031
Abstract：To reduce the inference ambiguity in the sign-propagation algorithm, a method is proposed based on qualitative mutual information in qualitative probabilistic networks (QPN). Firstly, the definition of qualitative mutual information is given. Then, an enhanced formalism of qualitative probabilistic networks (EQPN) is presented based on this definition, which can distinguish between strong and weak influences. Thirdly, symmetry, transitivity and parallel composition of qualitative influences in EQPN are analyzed. Finally, the correctness and efficiency of the sign-propagation algorithm in EQPN are verified by experiments on the Antibiotics database. Theoretic analysis and experimental results show that EQPN is qualitative, efficient, and it reduces inference ambiguity correctly.
吕亚丽，廖士中. 基于定性互信息的定性概率网歧义性约简[J]. 模式识别与人工智能, 2011, 24(1): 123-129.
L Ya-Li, LIAO Shi-Zhong. Ambiguity Reduction Based on Qualitative Mutual Information in Qualitative Probabilistic Networks. , 2011, 24(1): 123-129.
[1] Wellman M P. Fundamental Concepts of Qualitative Probabilistic Networks. Artificial Intelligence, 1990, 44(3): 257-303 [2] Osseiran A C. Qualitative Bayesian Networks. Information Sciences, 2001, 131(1/2/3/4): 87-106 [3] Lucas P J F. Bayesian Network Modelling through Qualitative Patterns. Artificial Intelligence, 2005, 163(2): 233-263 [4] Druzdzel M, Henrion M. Efficient Reasoning in Qualitative Probabilistic Networks // Proc of the 11th National Conference on Artificial Intelligence. Menlo Park, USA, 1993: 548-553 [5] Dagum P, Luby M. Approximating Probabilistic Inference in Bayesian Belief Networks Is NP-Hard. Artificial Intelligence, 1993, 60(1): 141-153 [6] Liu Chaolin, Wellman M P. Incremental Trade-Off Resolution in Qualitative Probabilistic Networks // Proc of the 4th Conference on Uncertainty in Artificial Intelligence. Madison, USA, 1998: 338-345 [7] Liu Chaolin, Wellman M P. Bounding Probabilistic Relationships in Bayesian Networks Using Qualitative Influences: Methods and Applications. International Journal of Approximate Reasoning, 2004, 36(1): 31-73 [8] Renooij S, Gaag L V. Enhanced Qualitative Probabilistic Networks for Resolving Trade-Offs. Artificial Intelligence, 2008, 172(12/13): 1470-1494 [9] Kun Yue, Yu Yao, Li Jin, et al. Qualitative Probabilistic Networks with Reduced Ambiguities. Applied Intelligence, 2010, 33(2): 159-178 [10] Cheng Jie, Greiner R, Kelly J, et al. Learning Bayesian Networks from Data: An Information-Theory Based Approach. Artificial Intelligence, 2002, 137(1/2): 43-90 [11] Murphy K P. The Bayes Net Toolbox for Matlab. Computing Science and Statistics, 2001, 33: 1-20
2011, Vol. 24 
