Applying Bayesian Networks for Intelligent Adaptable Printing Systems

Bayesian networks are around more than twenty years by now. During the past decade they became quite popular in the scientific community. Researchers from application areas like psychology, biomedicine and finance have applied these techniques successfully. In the area of control engineering however, little progress has been made in the application of Bayesian networks. We believe that these techniques are useful for systems that dynamically adapt themselves at runtime to a changing environment, which is usually uncertain. Moreover, there is uncertainty about the underlying physical model of the system, which poses a problem for modelling the system. In contrast, using a Bayesian network the needed model can be learned, or tuned, from data. In this paper we demonstrate the usefulness of Bayesian networks for control by case studies in the area of adaptable printing systems and compare the approach with a classic PID controller. We show that it is possible to design adaptive systems using Bayesian networks learned from data.

[1]  Serafín Moral,et al.  Mixtures of Truncated Exponentials in Hybrid Bayesian Networks , 2001, ECSQARU.

[2]  David J. Spiegelhalter,et al.  Probabilistic Networks and Expert Systems , 1999, Information Science and Statistics.

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

[4]  Michael I. Jordan,et al.  An Introduction to Variational Methods for Graphical Models , 1999, Machine Learning.

[5]  S. Lauritzen Propagation of Probabilities, Means, and Variances in Mixed Graphical Association Models , 1992 .

[6]  William H. Hsu,et al.  A Survey of Algorithms for Real-Time Bayesian Network Inference , 2002 .

[7]  Judea Pearl,et al.  Probabilistic reasoning in intelligent systems - networks of plausible inference , 1991, Morgan Kaufmann series in representation and reasoning.

[8]  Christian P. Robert,et al.  Monte Carlo Statistical Methods , 2005, Springer Texts in Statistics.

[9]  J. Farrell,et al.  Adaptive Approximation Based Control: Unifying Neural, Fuzzy and Traditional Adaptive Approximation Approaches (Adaptive and Learning Systems for Signal Processing, Communications and Control Series) , 2006 .

[10]  Peter S. Maybeck,et al.  Stochastic Models, Estimation And Control , 2012 .

[11]  P. Lucas,et al.  Computer-based Decision Support in the Management of Primary Gastric non-Hodgkin Lymphoma , 1998, Methods of Information in Medicine.

[12]  Americo Cicchetti,et al.  Health technology assessment in Italy , 2009, International Journal of Technology Assessment in Health Care.

[13]  David J. Spiegelhalter,et al.  Local computations with probabilities on graphical structures and their application to expert systems , 1990 .

[14]  Uri Lerner,et al.  Inference in Hybrid Networks: Theoretical Limits and Practical Algorithms , 2001, UAI.

[15]  I. Flesch,et al.  On the use of independence relations in bayesian networks , 2003 .

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

[17]  Katsuhiko Ogata,et al.  Modern Control Engineering , 1970 .

[18]  Tetsuo Tomiyama,et al.  Towards Adaptable Architecture , 2008, DAC 2008.

[19]  S. Lauritzen The EM algorithm for graphical association models with missing data , 1995 .

[20]  K. Åström Introduction to Stochastic Control Theory , 1970 .

[21]  Jun S. Liu,et al.  Sequential Monte Carlo methods for dynamic systems , 1997 .