The intention of this article is to provide a concise introduction to the basic mathematical concepts of statistical translation models as they were introduced by Brown et al.(1993) in their groundbreaking work The Mathematics of Statistical Machine Translation: Parameter Estimation. We concentrate on a simplified description of the first two translation models known as IBM Model 1 and 2. It is one major aim of this work to serve as tutoring material for students of computational linguistics, mathematics or computer science and therefore a lot of comments, additional examples and step-by-step explanations are given, augmenting the original formula by Brown et al.(1993). For both discussed models the calculations for a small parallel corpus are described in detail.<\/p>\n","protected":false},"excerpt":{"rendered":"
The intention of this article is to provide a concise introduction to the basic mathematical concepts of statistical translation models as they were introduced by Brown et al.(1993) in their groundbreaking work The Mathematics of Statistical Machine Translation: Parameter Estimation. We concentrate on a simplified description of the first two translation models known as IBM 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