ctc forward backward algorithm - why is it being used?












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as per ftp://ftp.idsia.ch/pub/juergen/icml2006.pdf fwd bw algo helps us speed up discovery of the happy path. For e.g. if the GT label is DOG and we have 10 time steps , the possible label sequences could be



_DD_OO_GG_



DD_OOO_GGG



DO__GGGGGG



etc ..so one path could be "_DO" (index 0, 1 and 2 from 3 example possibilities shown above). Assuming most tasks will have many more time steps (and hence a much higher number of paths), how is the fwd bw algo speeding things up ? Lets say the fwd variable is calculating the prob of obtaining an "O" at time step T, does it mean that it picks the best possible path of getting to "O" (recursively) ? for e.g. if the 3 paths to "O" were "_DD" , "DDD" and "blank D blank" with probabilities 0.3, 0.5 and 0.8, it would assume the best path till "O" is via "blank D blank" and move forward with the next character in the sequence ? Does it build on the highest probable prefix and then move forward ? hence for the next character, say "blank" or "O" it would choose "_D_O" ? I hope i have conveyed my query clearly, else i apologize for wasting your time. I couldn't find any good explanation about the nuts and bolts of the algo (neither could i find a good c++/python implementation of the same) ..any pointers in the direction will be greatly appreciated.









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    as per ftp://ftp.idsia.ch/pub/juergen/icml2006.pdf fwd bw algo helps us speed up discovery of the happy path. For e.g. if the GT label is DOG and we have 10 time steps , the possible label sequences could be



    _DD_OO_GG_



    DD_OOO_GGG



    DO__GGGGGG



    etc ..so one path could be "_DO" (index 0, 1 and 2 from 3 example possibilities shown above). Assuming most tasks will have many more time steps (and hence a much higher number of paths), how is the fwd bw algo speeding things up ? Lets say the fwd variable is calculating the prob of obtaining an "O" at time step T, does it mean that it picks the best possible path of getting to "O" (recursively) ? for e.g. if the 3 paths to "O" were "_DD" , "DDD" and "blank D blank" with probabilities 0.3, 0.5 and 0.8, it would assume the best path till "O" is via "blank D blank" and move forward with the next character in the sequence ? Does it build on the highest probable prefix and then move forward ? hence for the next character, say "blank" or "O" it would choose "_D_O" ? I hope i have conveyed my query clearly, else i apologize for wasting your time. I couldn't find any good explanation about the nuts and bolts of the algo (neither could i find a good c++/python implementation of the same) ..any pointers in the direction will be greatly appreciated.









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      as per ftp://ftp.idsia.ch/pub/juergen/icml2006.pdf fwd bw algo helps us speed up discovery of the happy path. For e.g. if the GT label is DOG and we have 10 time steps , the possible label sequences could be



      _DD_OO_GG_



      DD_OOO_GGG



      DO__GGGGGG



      etc ..so one path could be "_DO" (index 0, 1 and 2 from 3 example possibilities shown above). Assuming most tasks will have many more time steps (and hence a much higher number of paths), how is the fwd bw algo speeding things up ? Lets say the fwd variable is calculating the prob of obtaining an "O" at time step T, does it mean that it picks the best possible path of getting to "O" (recursively) ? for e.g. if the 3 paths to "O" were "_DD" , "DDD" and "blank D blank" with probabilities 0.3, 0.5 and 0.8, it would assume the best path till "O" is via "blank D blank" and move forward with the next character in the sequence ? Does it build on the highest probable prefix and then move forward ? hence for the next character, say "blank" or "O" it would choose "_D_O" ? I hope i have conveyed my query clearly, else i apologize for wasting your time. I couldn't find any good explanation about the nuts and bolts of the algo (neither could i find a good c++/python implementation of the same) ..any pointers in the direction will be greatly appreciated.









      share









      $endgroup$




      as per ftp://ftp.idsia.ch/pub/juergen/icml2006.pdf fwd bw algo helps us speed up discovery of the happy path. For e.g. if the GT label is DOG and we have 10 time steps , the possible label sequences could be



      _DD_OO_GG_



      DD_OOO_GGG



      DO__GGGGGG



      etc ..so one path could be "_DO" (index 0, 1 and 2 from 3 example possibilities shown above). Assuming most tasks will have many more time steps (and hence a much higher number of paths), how is the fwd bw algo speeding things up ? Lets say the fwd variable is calculating the prob of obtaining an "O" at time step T, does it mean that it picks the best possible path of getting to "O" (recursively) ? for e.g. if the 3 paths to "O" were "_DD" , "DDD" and "blank D blank" with probabilities 0.3, 0.5 and 0.8, it would assume the best path till "O" is via "blank D blank" and move forward with the next character in the sequence ? Does it build on the highest probable prefix and then move forward ? hence for the next character, say "blank" or "O" it would choose "_D_O" ? I hope i have conveyed my query clearly, else i apologize for wasting your time. I couldn't find any good explanation about the nuts and bolts of the algo (neither could i find a good c++/python implementation of the same) ..any pointers in the direction will be greatly appreciated.







      machine-learning deep-learning classification





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      asked 4 mins ago









      Vikram MurthyVikram Murthy

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