By Robert D. Cook, David S. Malkus, Michael E. Plesha, Robert J. Witt
This ebook has been completely revised and up to date to mirror advancements because the 3rd version, with an emphasis on structural mechanics. assurance is updated with out making the remedy hugely really good and mathematically tough. easy conception is obviously defined to the reader, whereas complicated strategies are left to hundreds of thousands of references to be had, that are pointed out within the textual content.
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Extra info for Concepts and Applications of Finite Element Analysis, 4th Edition
Bayesian network learning with cutting planes. , Pfeﬀer, A. ), Proceedings of the 27th International Conference on Uncertainty in Artiﬁcial Intelligence, pp. 153–160. : A tutorial on learning with Bayesian networks. : Learning Bayesian networks: The combination of knowledge and statistical data. Mach. Learn. : Learning Bayesian network structure using LP relaxations. In: 13th International Conference on Artiﬁcial Intelligence and Statistics, vol. 9, pp. : Bayes factors. J. Am. Stat. Assoc. : Exact Bayesian structure discovery in Bayesian networks.
Assoc. : Exact Bayesian structure discovery in Bayesian networks. J. Mach. Learn. Res. : Improving the scalability of optimal Bayesian network learning with external-memory frontier breadth-ﬁrst branch and bound search. , Pfeﬀer, A. ), Proceedings of the 27th International Conference on Uncertainty in Artiﬁcial Intelligence, pp. 479–488. : Probabilistic Reasoning in Intelligent Systems: Networks of Plausible Inference. : Causality: Models, Reasoning, and Inference. : Learning Bayesian networks with the bnlearn R package.
Skewed distribution. Fig. 5. Uniform distribution. Tsamardinos et al. (2009) proposed the evaluation of the accuracy of the learning structure using the SHD, which is the most eﬃcient metric between the learned and the true structure. The results are depicted in Fig. 6. The results show that our proposed method (#1) produces the best performance. For a strongly skewed distribution (Fig. 3), our proposed method decreases the learning error faster than αijk = 1 as the sample size becomes large. For a skewed distribution (Fig.