Neural Foundations · 1993

The Mathematics of Statistical MT (IBM alignment models)

Peter F. Brown, Vincent J. Della Pietra, Stephen A. Della Pietra, Robert L. Mercer

Brown et al. formalized statistical machine translation as a probabilistic model estimated from bilingual text, introducing the IBM Models 1-5 that learn word-to-word translation probabilities and alignments from parallel corpora, solving how to translate by learning from data rather than hand-written rules.

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The paper frames translation as finding the target sentence most probable given the source, decomposed via Bayes' rule into a translation model and a language model, and introduces a hidden alignment variable saying which source word generated each target word. The five IBM models add successive detail (word translation probabilities, then absolute position, fertility of how many words a source word produces, and distortion of position), and their parameters are estimated from unaligned sentence pairs using the EM algorithm. These alignment models became the statistical foundation of machine translation for roughly two decades and the basis for later phrase-based systems.

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Record ID
A-028
Record created
2026-07-13
Last reviewed
2026-07-14
Record version
2

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