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How would you use Jaccard similarity to find how similar these documents are?

hard📝 Conceptual Q8 of 15
NLP - Text Similarity and Search
You have two documents represented as sets of words: Doc1 = {'apple', 'banana', 'cherry', 'date'} and Doc2 = {'banana', 'date', 'fig', 'grape'}. How would you use Jaccard similarity to find how similar these documents are?
AMultiply the number of common words by the total words in Doc2
BCount the total words in Doc1 only
CSubtract the number of unique words in Doc2 from Doc1
DCalculate the ratio of common words to total unique words in both documents
Step-by-Step Solution
Solution:
  1. Step 1: Understand Jaccard similarity for documents

    It measures similarity by dividing the number of common words by the total unique words in both documents.
  2. Step 2: Apply to given sets

    Common words are {'banana', 'date'}, total unique words are {'apple', 'banana', 'cherry', 'date', 'fig', 'grape'}.
  3. Final Answer:

    Calculate the ratio of common words to total unique words in both documents -> Option D
  4. Quick Check:

    Jaccard similarity = common / total unique words [OK]
Quick Trick: Similarity = common words ÷ total unique words [OK]
Common Mistakes:
MISTAKES
  • Ignoring union of words
  • Using only one document's words
  • Subtracting counts incorrectly
  • Multiplying counts instead of dividing

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