Structure learning of context-specific graphical models

Abstract The ultimate problem considered in this thesis is modeling a high-dimensional joint distribution over a set of discrete variables. For this purpose, we consider classes of context-specific graphical models and the main emphasis is on learning the structure of such models from data. Traditional graphical models compactly represent a joint distribution through a factorization justi ed by statements of conditional independence which are encoded by a graph structure. Context-speci c independence is a natural generalization of conditional independence that only holds in a certain context, speci ed by the conditioning variables. We introduce context-speci c generalizations of both Bayesian networks and Markov networks by including statements of context-specific independence which can be encoded as a part of the model structures. For the purpose of learning context-speci c model structures from data, we derive score functions, based on results from Bayesian statistics, by which the plausibility of a structure is assessed. To identify high-scoring structures, we construct stochastic and deterministic search algorithms designed to exploit the structural decomposition of our score functions. Numerical experiments on synthetic and real-world data show that the increased exibility of context-specific structures can more accurately emulate the dependence structure among the variables and thereby improve the predictive accuracy of the models.

To Integrate Or Not: A Comparison of the English Skills of Finnish Students in Mainstream Education and Content and Language Integrated Learning

The objective of the thesis was to study the possible linguistic differences of English of Finnish mainstream students and Finnish students following content and language integrated learning (CLIL), in terms of the given language test. The difference of test results between the test groups was further analyzed in more detail. The research was carried out by comparing the 9th grade students of the Finnish comprehensive school (the mainstream group) and CLIL students of the 9th grade of the Finnish comprehensive school (the CLIL group). The comparison was based on the national language test for the 9th grade students of the Finnish comprehensive school 2006 (A-English), produced by Sukol-Palvelu, owned by the Federation of Foreign Language Teachers in Finland SUKOL. The mainstream group of the present study consisted of 30 students, whereas the CLIL group included 27 students. Testing was carried out in spring 2007. The test results of the mainstream group (average of 64.1% out of the maximum score) were consistent with the results of the national average (63.9%). The average score of the CLIL students for the present study was 83.3% out of the maximum score. The results of the two groups in question were rather similar in the tasks measuring the skill of listening comprehension, in addition to one of the reading comprehension tasks. Moreover, a particular task with requirements of cultural and reactional skills produced results rather similar between the test groups. The differences between the results of the mainstream group and the CLIL group were most evident in three particular tasks. In general, the CLIL group performed clearly better than the mainstream group in the task measuring the knowledge of the polite conversational manners of the English-speaking world and in the tasks with requirements of lexical and structural knowledge of English. However, the writing task resulted in the most evident difference of results between the groups. In other words, the CLIL students of the present study were clearly more capable of producing English language with more varied vocabulary and more complex structures than the mainstream students. Thus, it might be argued whether the CLIL programme is to enhance the students´ performance in the productive skill of writing in particular. As a result, it might be useful to consider the possibilities of the CLIL programme in developing certain linguistic skills of the mainstream students of English as well.