Neural machine Translation
Statistical Machine Translation
Syntax based models are trained on parallel corpora that have been automatically annotated with syntactic parsers. The quality of the parsers obviously matters.
Parse Quality is the main subject of 7 publications. 2 are discussed here.
Topics in SyntaxBasedModelsInversion Transduction Grammars | Hierarchical Models | String To Tree | Tree To String | Tree To Tree | Binarizing SCFG | Generative Syntax Models | Dependency Structure | Deep Syntax | Parse Quality | Parallel Treebanks | Syntactic Coherence