How can I calculate perplexity for a bigram model?












0












$begingroup$


I didn't find any function in nltk to calculate the perplexity.



There are some codes I found:



def calculate_bigram_perplexity(model, sentences):
number_of_bigrams = model.corpus_length #calculate_number_of_bigrams(sentences)
bigram_sentence_probability_log_sum = 0
print("num of bigrams", number_of_bigrams)
for sentence in sentences:
try:
bigram_sentence_probability_log_sum -= math.log(model.calculate_bigram_sentence_probability(sentence), 2)
except:
bigram_sentence_probability_log_sum -= float('-inf')
x = math.pow(2, bigram_sentence_probability_log_sum / number_of_bigrams)
y = math.pow(2, nltk.probability.entropy(model.prob_dist))
print(f"x = {x} and y = {y}")
return y


in the code above x is the output of the function, however, I also calculated it from another method:



y = math.pow(2, nltk.probability.entropy(model.prob_dist))


My question is that which of these methods are correct, because they give me different results.
Moreover, my results for bigram and unigram differs:



== TEST PERPLEXITY == 
unigram perplxity:
x = 447.0296119273938 and y = 553.6911988953756
unigram: 553.6911988953756
=============
num of bigrams 23102
x = 1.530813112747101 and y = 7661.285234275603
bigram perplxity: 7661.285234275603


I expected to see lower perplexity for bigram, but it's much higher, what could be the problem of calculation? Please note that I process a text involving multiple sentences... could they be because of sparse data, because I just tested them on one text.










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$endgroup$

















    0












    $begingroup$


    I didn't find any function in nltk to calculate the perplexity.



    There are some codes I found:



    def calculate_bigram_perplexity(model, sentences):
    number_of_bigrams = model.corpus_length #calculate_number_of_bigrams(sentences)
    bigram_sentence_probability_log_sum = 0
    print("num of bigrams", number_of_bigrams)
    for sentence in sentences:
    try:
    bigram_sentence_probability_log_sum -= math.log(model.calculate_bigram_sentence_probability(sentence), 2)
    except:
    bigram_sentence_probability_log_sum -= float('-inf')
    x = math.pow(2, bigram_sentence_probability_log_sum / number_of_bigrams)
    y = math.pow(2, nltk.probability.entropy(model.prob_dist))
    print(f"x = {x} and y = {y}")
    return y


    in the code above x is the output of the function, however, I also calculated it from another method:



    y = math.pow(2, nltk.probability.entropy(model.prob_dist))


    My question is that which of these methods are correct, because they give me different results.
    Moreover, my results for bigram and unigram differs:



    == TEST PERPLEXITY == 
    unigram perplxity:
    x = 447.0296119273938 and y = 553.6911988953756
    unigram: 553.6911988953756
    =============
    num of bigrams 23102
    x = 1.530813112747101 and y = 7661.285234275603
    bigram perplxity: 7661.285234275603


    I expected to see lower perplexity for bigram, but it's much higher, what could be the problem of calculation? Please note that I process a text involving multiple sentences... could they be because of sparse data, because I just tested them on one text.










    share|improve this question









    $endgroup$















      0












      0








      0





      $begingroup$


      I didn't find any function in nltk to calculate the perplexity.



      There are some codes I found:



      def calculate_bigram_perplexity(model, sentences):
      number_of_bigrams = model.corpus_length #calculate_number_of_bigrams(sentences)
      bigram_sentence_probability_log_sum = 0
      print("num of bigrams", number_of_bigrams)
      for sentence in sentences:
      try:
      bigram_sentence_probability_log_sum -= math.log(model.calculate_bigram_sentence_probability(sentence), 2)
      except:
      bigram_sentence_probability_log_sum -= float('-inf')
      x = math.pow(2, bigram_sentence_probability_log_sum / number_of_bigrams)
      y = math.pow(2, nltk.probability.entropy(model.prob_dist))
      print(f"x = {x} and y = {y}")
      return y


      in the code above x is the output of the function, however, I also calculated it from another method:



      y = math.pow(2, nltk.probability.entropy(model.prob_dist))


      My question is that which of these methods are correct, because they give me different results.
      Moreover, my results for bigram and unigram differs:



      == TEST PERPLEXITY == 
      unigram perplxity:
      x = 447.0296119273938 and y = 553.6911988953756
      unigram: 553.6911988953756
      =============
      num of bigrams 23102
      x = 1.530813112747101 and y = 7661.285234275603
      bigram perplxity: 7661.285234275603


      I expected to see lower perplexity for bigram, but it's much higher, what could be the problem of calculation? Please note that I process a text involving multiple sentences... could they be because of sparse data, because I just tested them on one text.










      share|improve this question









      $endgroup$




      I didn't find any function in nltk to calculate the perplexity.



      There are some codes I found:



      def calculate_bigram_perplexity(model, sentences):
      number_of_bigrams = model.corpus_length #calculate_number_of_bigrams(sentences)
      bigram_sentence_probability_log_sum = 0
      print("num of bigrams", number_of_bigrams)
      for sentence in sentences:
      try:
      bigram_sentence_probability_log_sum -= math.log(model.calculate_bigram_sentence_probability(sentence), 2)
      except:
      bigram_sentence_probability_log_sum -= float('-inf')
      x = math.pow(2, bigram_sentence_probability_log_sum / number_of_bigrams)
      y = math.pow(2, nltk.probability.entropy(model.prob_dist))
      print(f"x = {x} and y = {y}")
      return y


      in the code above x is the output of the function, however, I also calculated it from another method:



      y = math.pow(2, nltk.probability.entropy(model.prob_dist))


      My question is that which of these methods are correct, because they give me different results.
      Moreover, my results for bigram and unigram differs:



      == TEST PERPLEXITY == 
      unigram perplxity:
      x = 447.0296119273938 and y = 553.6911988953756
      unigram: 553.6911988953756
      =============
      num of bigrams 23102
      x = 1.530813112747101 and y = 7661.285234275603
      bigram perplxity: 7661.285234275603


      I expected to see lower perplexity for bigram, but it's much higher, what could be the problem of calculation? Please note that I process a text involving multiple sentences... could they be because of sparse data, because I just tested them on one text.







      performance nltk






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      asked 13 hours ago









      AhmadAhmad

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