# Through a step-by-step process, calculate TFIDF for the given corpus:

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Through a step-by-step process, calculate TFIDF for the given corpus:

Document 1: To the swinging and the ringing

Document 2: of the bells, bells, bells

Document 3: Of the bells, bells, bells, bells

Document 4: Bells, bells, bells

Document 5: To the rhyming and the chiming of the bells.

 Topic Natural Language Processing (AI Domain) Type Short answer type Class 10

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Step 1: Create document vectors for the given documents (Term Frequency Table):-

 To The Swinging and ringing of bells rhyming chiming 1 1 1 1 1 0 0 0 0 0 1 0 0 0 1 3 0 0 0 1 0 0 0 1 4 0 0 0 0 0 0 0 0 3 0 0 1 1 0 1 0 1 1 1 1

Step 2: Record the occurrence of the word in the document using the term frequency table (Document Frequency Table):-

 To The swinging and ringing of bells rhyming chiming 2 4 1 2 1 3 11 1 1

Step 3: Draw the inverse document frequency table wherein, we need to put the document frequency in the denominator while the total number of documents is the numerator. Here, the total number of documents is 5, hence inverse document frequency becomes:-

 To The swinging and ringing of bells rhyming chiming 5/2 5/4 5/1 5/2 5/1 5/3 5/11 5/1 5/1

Step 4: The formula of TFIDF for any word W becomes: TFIDF(W) = TF(W) * log (IDF(W)):-

 To the swinging and ringing of bells rhyming chiming 1*log(5/2) 1*log(5/4) 1*log(5/1) 1*log(5/2) 1*log(5/1) 0*log(5/3) 0*log(5/11) 0*log(5/1) 0*log(5/1) 0*log(5/2) 1*log(5/4) 0*log(5/1) 0*log(5/2) 0*log(5/1) 1*log(5/3) 3*log(5/11) 0*log(5/1) 0*log(5/1) 0*log(5/2) 1*log(5/4) 0*log(5/1) 0*log(5/2) 0*log(5/1) 1*log(5/3) 4*log(5/11) 0*log(5/1) 0*log(5/1) 0*log(5/2) 0*log(5/4) 0*log(5/1) 0*log(5/2) 0*log(5/1) 0*log(5/3) 3*log(5/11) 0*log(5/1) 0*log(5/1) 1*log(5/2) 1*log(5/4) 0*log(5/1) 1*log(5/2) 0*log(5/1) 1*log(5/3) 1*log(5/11) 0*log(5/1) 0*log(5/1)

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