Kernel logistic regression (KLR) is a powerful and flexible classification algorithm, which possesses an ability to provide the confidence of class prediction. However, its training—typically carried out by (quasi-)Newton methods—is rather timeconsuming. In this paper, we propose an alternative probabilistic classification algorithm called Least-Squares Probabilistic Classifier (LSPC). KLR mode...

A new method to combine language models is derived. This method of log-linear interpolation (LLI) is used for adaptation and for combining models of di erent context length. In both cases LLI is better than linear interpolation.

After reviewing some not well known results about marginal log-linear models, the paper derives new ones and shows how they might be relevant in mediation analysis when all variables are categorical. By focusing on interactions between treatment response, both marginally jointly with respect to mediating variables, a relation these parameters is derived. In addition, describes class of models w...