Non-parametric Statistical Learning Methods for Inductive Classifiers in Semantic Knowledge Bases

This work concerns non-parametric approaches for statistical learning applied to the standard knowledge representations languages adopted in the semantic Web context. We present methods based on epistemic inference that are able to elicit the semantic similarity of individuals in OWL knowledge bases. Specifically, a totally semantic and language independent semi-distance function is presented and from it, an epistemic kernel function for semantic Web representations is derived. Both the measure and the kernel function are embedded into non-parametric statistical learning algorithms customized for coping with Semantic Web representations. Particularly, the measure is embedded into a k-nearest neighbor algorithm and the kernel function is embedded in a support vector machine. The realized algorithms are used to perform inductive concept retrieval and query answering. An experimentation on real ontologies proves that the methods can be effectively employed for performing the target tasks and moreover that it is possible to induce new assertions that are not logically derivable.