In our case, we recognize the input utterance by using an Automatic Speech Recognizer (ASR) in the source language, and we then translate the hypotheses provided by the ASR into the target language t by means of a statistical Machine Translation system (see Figure 1).
by considering both the input sentence W s uttered by the user and its translation into the target language W t , Equation (1) can be rewritten as: Equation (2) can be decomposed into several factors, as shown in Equation (3).