Markovian Approach to Time Transition Inference on Bayesian Networks

Also known in literature as belief networks, causal networks or probabilistic networks, Bayesian networks (BN) can be seen as models that codify the probabilistic relationships between the variables that represent a given domain (Chen, 2001); being one of the most prominent when considering the easiness of knowledge interpretation achieved. These models possess as components a qualitative (representing the dependencies between the nodes) and a quantitative (conditional probability tables of these nodes) structure, evaluating, in probabilistic terms, these dependencies (Pearl, 1988). Together, these components provide an efficient representation of the joint probability distribution of the variables of a given domain (Russel and Norvig, 2003).

[1]  Stuart J. Russell,et al.  Dynamic bayesian networks: representation, inference and learning , 2002 .

[2]  Michael C. Horsch,et al.  Dynamic Bayesian networks , 1990 .

[3]  R. E. Kalman,et al.  A New Approach to Linear Filtering and Prediction Problems , 2002 .

[4]  Vanja Gato,et al.  Decision support in power systems based on load forecasting models and influence analysis of climatic and socio-economic factors , 2006, SPIE Optics East.

[5]  Myron Hlynka,et al.  Queueing Networks and Markov Chains (Modeling and Performance Evaluation With Computer Science Applications) , 2007, Technometrics.

[6]  Xiao-Lin Li,et al.  Learning Bayesian networks structures based on extending evolutionary programming , 2004, Proceedings of 2004 International Conference on Machine Learning and Cybernetics (IEEE Cat. No.04EX826).

[7]  J. Bennett,et al.  Enquiry Concerning Human Understanding , 2010 .

[8]  Robert R. Tucci How to Compile A Quantum Bayesian Net , 1998 .

[9]  Gunter Bolch,et al.  Queueing Networks and Markov Chains - Modeling and Performance Evaluation with Computer Science Applications, Second Edition , 1998 .

[10]  Ádamo L. de Santana,et al.  Algorithm for Graphical Bayesian Modeling Based on Multiple Regressions , 2007, MICAI.

[11]  T. Başar,et al.  A New Approach to Linear Filtering and Prediction Problems , 2001 .

[12]  Zhengxin Chen,et al.  Data Mining and Uncertain Reasoning: An Integrated Approach , 2001 .

[13]  Zheng Yun,et al.  Improved MDL Score for Learning of Bayesian Networks , 2004 .

[14]  Gregory F. Cooper,et al.  A Bayesian Method for the Induction of Probabilistic Networks from Data , 1992 .

[15]  Alex Bateman,et al.  An introduction to hidden Markov models. , 2007, Current protocols in bioinformatics.

[16]  M. Goldstein,et al.  Multivariate Analysis: Methods and Applications , 1984 .

[17]  Nils J. Nilsson,et al.  Artificial Intelligence: A New Synthesis , 1997 .

[18]  Alan Lucas,et al.  Bayesian networks applied to credit scoring , 2000 .

[19]  Richard Scheines,et al.  TETRAD II: Tools for Discovery , 1994 .

[20]  Judea Pearl,et al.  Probabilistic reasoning in intelligent systems , 1988 .

[21]  Ádamo L. de Santana,et al.  Strategies for improving the modeling and interpretability of Bayesian networks , 2007, Data Knowl. Eng..

[22]  How to tell causes from effects: Kant’s causal theory of time and modern approaches , 2003 .

[23]  I. Kant,et al.  Critique of Pure Reason: Glossary , 1998 .