Signature Matrix and Minhash Values Quiz
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Questions and Answers

What does the signature matrix represent?

  • Columns as minhash values and rows as sets
  • Rows as minhash values and columns as sets
  • Columns as sets and rows as minhash values (correct)
  • Rows as sets and columns as minhash values
  • What should be consistent in assigning minhash values?

  • Both a and b
  • Number in the permuted order
  • It doesn't matter (correct)
  • Original number of the row
  • What does the expected similarity of two signatures equal to?

  • The Jaccard similarity of the columns they represent (correct)
  • The number of columns they have in common
  • The total number of minhash functions
  • The number of rows they match in
  • How does the text define the probability that h(C1) = h(C2)?

    <p>Equal to a certain value a/(a+b+c)!</p> Signup and view all the answers

    In the context of signatures, what does Jaccard similarity measure?

    <p>The fraction of minhash functions in which they agree</p> Signup and view all the answers

    Why does it not matter whether the minhash value is the original row number or in permuted order?

    <p>To ensure consistency and correctness</p> Signup and view all the answers

    What is the formula provided in the text to calculate the probability of sharing a bucket?

    <p>1 - (1 - s^r)^b</p> Signup and view all the answers

    In the context of finding similar pairs with similar signatures, what is the significance of tuning 'b' and 'r'?

    <p>To eliminate most pairs with similar signatures</p> Signup and view all the answers

    What does the value 's' represent in the given context?

    <p>Jaccard similarity of two sets</p> Signup and view all the answers

    When finding similar pairs based on Jaccard similarity, what does it mean for 'all rows of a band' to be equal?

    <p>Both pairs have identical elements in each row</p> Signup and view all the answers

    What was the real problem faced by the student who ran a MOOC based on CS246 in the fall?

    <p>Searching for similar pairs among a large number of sets</p> Signup and view all the answers

    If a user wants to find almost all pairs with similar signatures but eliminate most pairs without similar signatures, what strategy should they adopt?

    <p>Tune 'b' and 'r' appropriately</p> Signup and view all the answers

    What is the formula for calculating Jaccard similarity between two sets?

    <p>|C1C2|/|C1C2|</p> Signup and view all the answers

    If two sets have 3 elements in common and a union of 8 elements, what is their Jaccard similarity?

    <p>0.375</p> Signup and view all the answers

    What is the warning given regarding constructing the matrix for Jaccard similarity calculations?

    <p>The matrix doesn't need to be physically constructed.</p> Signup and view all the answers

    What does the minhash function h(C) represent in the context of Jaccard similarity?

    <p>The index of the first row with '1' in a permuted order.</p> Signup and view all the answers

    What does the formula Sim(C1, C2) = a/(a + b + c) represent?

    <p>Jaccard similarity calculation between C1 and C2.</p> Signup and view all the answers

    Why do we apply several randomly chosen permutations to create signatures for each column in Jaccard similarity calculations?

    <p>To create a unique representation for each column.</p> Signup and view all the answers

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