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courses:rg:2011:deciphering_foreign_language [2012/01/07 13:15]
tran 		courses:rg:2011:deciphering_foreign_language [2012/01/07 13:25]
tran
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 </latex> </latex>
  
 +In case we do not have parallel data, we observe foreign text and try to maximize likelihood 
 +<latex>
 +\mathop {\arg \max }\limits_\theta  \prod\limits_f {p_\theta  (f)} 
 +</latex>
 +
 +Treating English translation as hidden alignment, our task is to find the parameter <latex>\theta</latex> that
 +<latex>
 +\mathop {\arg \max }\limits_\theta  \prod\limits_f {\sum\limits_e {P(e) \times \sum\limits_a {P_\theta  (f,a|e)} } } 
 +</latex>

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