By Joe Suzuki, Maomi Ueno
This quantity constitutes the refereed court cases of the second one foreign Workshop on complicated Methodologies for Bayesian Networks, AMBN 2015, held in Yokohama, Japan, in November 2015.
The 18 revised complete papers and six invited abstracts awarded have been conscientiously reviewed and chosen from a number of submissions. within the overseas Workshop on complicated Methodologies for Bayesian Networks (AMBN), the researchers discover methodologies for reinforcing the effectiveness of graphical types together with modeling, reasoning, version choice, logic-probability relatives, and causality. The exploration of methodologies is complemented discussions of useful concerns for employing graphical types in actual international settings, masking issues like scalability, incremental studying, parallelization, and so on.
Read or Download Advanced Methodologies for Bayesian Networks: Second International Workshop, AMBN 2015, Yokohama, Japan, November 16-18, 2015. Proceedings PDF
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Extra info for Advanced Methodologies for Bayesian Networks: Second International Workshop, AMBN 2015, Yokohama, Japan, November 16-18, 2015. Proceedings
4 ln2 (1 + 3n 1 + 3n/ (3) δ = αn, for a small constant α. ) ln is the error rate and is often set as Common Parameter Constraints Generally, eight types of parameter constraints can be provided by domain experts as qualitative domain knowledge. The constraints are deﬁned as below: (1) Axiomatic Constraint: It describes relation between parameters referring to a ﬁxed parent conﬁguration state. It is a very basic constraint, which means, domain experts are not required to provide them. ri θijk = 1, 0 ≤ θijk ≤ 1, ∀i, j, k (4) k=1 (2) Range Constraint: It deﬁnes the upper and lower values of a parameter, which is very common in reality.
These methods are presented in Table 1. In Sect. 2, we evaluate the performances of CI tests using three small network structures with binary variables. First structure shows a strongly skewed conditional probability distribution. Second has a skewed conditional probability distribution. Third has a uniform conditional probability distribution. In Sects. 4, we present learning results obtained using large networks. We use the Alarm network in Sect. 3 and the win95pts network in Sect. 4. These benchmark networks were used from the bnlearn repository (Scutari 2010).
In this experiment, we determined the number of states of all variables as two. To evaluate the CI test accuracy, we used learning errors of three types (Spirtes et al. 2000; Tsamardinos et al. 2006). An extra edge (EE) is a learned 26 K. Natori et al. Fig. 6. Results of the learning small network. edge, although it does not exist in the true graph. A missing edge (ME) is a missed edge from learning, although it exists in the true graph. Additionally, we used SHD. For evaluation of learning of the Alarm network, we generated N = 10, 000, 20,000, 50,000, 100,000, and 200,000 samples.