We review some recent research topics by Laboratory for Cognitive Modeling (LKM) at Faculty of Computer and Information Science, University of Ljubljana, Slovenia. Classification and regression models, either automatically generated from data by machine learning algorithms, or manually encoded with the help of domain experts, are daily used to predict the labels of new instances. Each such individual prediction, in order to be accepted/trusted by users, should be accompanied by an explanation of the prediction as well as by an estimate of its reliability. In LKM we have recently developed a general methodology for explaining individual predictions as well as for estimating their reliability. Both, explanation and reliability estimation are general techniques, independent of the underlying model and provide on-line (effective and efficient) support to the users of prediction models.