Abstract
We suggest Darwinian networks (DNs) as a simplification of working with Bayesian networks (BNs). DNs adapt a handful of well-known concepts in biology into a single framework that is surprisingly simple, yet remarkably robust. With respect to modeling, on one hand, DNs not only represent BNs, but also faithfully represent the testing of independencies in a more straightforward fashion. On the other hand, with respect to two exact inference algorithms in BNs, DNs simplify each of them, while unifying both of them.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Butz, C.J., Hua, S., Chen, J., Yao, H.: A simple graphical approach for understanding probabilistic inference in bayesian networks. Information Sciences 179, 699–716 (2009)
Butz, C.J., Yan, W., Madsen, A.L.: d-separation: strong completeness of semantics in bayesian network inference. In: Zaïane, O.R., Zilles, S. (eds.) Canadian AI 2013. LNCS (LNAI), vol. 7884, pp. 13–24. Springer, Heidelberg (2013)
Butz, C.J., Konkel, K., Lingras, P.: Join tree propagation utilizing both arc reversal and variable elimination. International Journal of Approximate Reasoning 52(7), 948–959 (2011)
Butz, C.J., Oliveira, J.S., dos Santos, A.E.: Determining good elimination orderings with darwinian networks. In: Twenty-Eighth International FLAIRS Conference (2015, to appear)
Butz, C.J., Oliveira, J.S., dos Santos, A.E.: On testing independencies in darwinian networks (2015, unpublished)
Butz, C.J., Oliveira, J.S., dos Santos, A.E.: Representing lazy propagation in darwinian networks (2015, unpublished)
Butz, C.J., Oliveira, J.S., dos Santos, A.E.: Simplifying d-separation in bayesian networks (2015, unpublished)
Butz, C.J., Yan, W.: The semantics of intermediate cpts in variable elimination. In: Fifth European Workshop on Probabilistic Graphical Models, pp. 41–49 (2010)
Butz, C.J., Yao, H., Hua, S.: A join tree probability propagation architecture for semantic modeling. Journal of Intelligent Information Systems 33(2), 145–178 (2009)
Campbell, N.A., Reece, J.B.: Biology. Pearson Benjamin Cummings (2009)
Coyne, J.A.: Why Evolution is True. Oxford University Press (2009)
Darwiche, A.: Modeling and Reasoning with Bayesian Networks. Cambridge University Press (2009)
Darwin, C.: On the Origin of Species. John Murray (1859)
Dawkins, R.: The Selfish Gene. Oxford University Press (1976)
Dawkins, R.: The Greatest Show on Earth: The Evidence for Evolution. Free Press (2009)
Dechter, R.: Bucket elimination: A unifying framework for reasoning. In: Twelfth Conference on Uncertainty in Artificial Intelligence, pp. 211–219 (1996)
Dechter, R.: Bucket elimination: A unifying framework for reasoning. Artificial Intelligence 113(1), 41–85 (1999)
Kjærulff, U.: Triangulation of graphs - algorithms giving small total state space. Tech. Rep. R90–09, Aalborg University, Denmark, March 1990
Koller, D., Friedman, N.: Probabilistic Graphical Models: Principles and Techniques. MIT Press (2009)
Lauritzen, S.L., Dawid, A.P., Larsen, B.N., Leimer, H.G.: Independence properties of directed markov fields. Networks 20, 491–505 (1990)
Lauritzen, S.L., Spiegelhalter, D.J.: Local computation with probabilities on graphical structures and their application to expert systems. Journal of the Royal Statistical Society 50, 157–244 (1988)
Madsen, A.L., Butz, C.J.: Ordering arc-reversal operations when eliminating variables in lazy ar propagation. International Journal of Approximate Reasoning 54(8), 1182–1196 (2013)
Madsen, A.L., Jensen, F.V.: Lazy propagation: A junction tree inference algorithm based on lazy evaluation. Artificial Intelligence 113(1–2), 203–245 (1999)
Olmsted, S.: On Representing and Solving Decision Problems. Ph.D. thesis, Stanford University (1983)
Pearl, J.: Probabilistic Reasoning in Intelligent Systems: Networks of Plausible Inference. Morgan Kaufmann (1988)
Shachter, R.D.: Evaluating influence diagrams. Operations Research 34(6), 871–882 (1986)
Zhang, N.L., Poole, D.: A simple approach to bayesian network computations. In: Tenth Canadian Conference on Artificial Intelligence, pp. 171–178 (1994)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2015 Springer International Publishing Switzerland
About this paper
Cite this paper
Butz, C.J., Oliveira, J.S., dos Santos, A.E. (2015). Darwinian Networks. In: Barbosa, D., Milios, E. (eds) Advances in Artificial Intelligence. Canadian AI 2015. Lecture Notes in Computer Science(), vol 9091. Springer, Cham. https://doi.org/10.1007/978-3-319-18356-5_2
Download citation
DOI: https://doi.org/10.1007/978-3-319-18356-5_2
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-18355-8
Online ISBN: 978-3-319-18356-5
eBook Packages: Computer ScienceComputer Science (R0)