1. Suppose you have 10,000 documents and you are required to find similar documents. You are...
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1. Suppose you have 10,000 documents and you are required to find similar documents. You are expected to use locality-sensitive hashing for the task. Assume that you have the memory to compute 1000 signatures (hashes) and that you set your band size to 25 and the number of rows in each band to 40. a. What is the probability that two documents are identical in a band if they are 75% similar? What is the probability that two documents that are 70% similar get assigned to the same b. bucket? C. What is the probability that two documents that are 30% similar get assigned to the same bucket? d. What is the probability that two documents that are 15% similar get assigned to different buckets? 1. Suppose you have 10,000 documents and you are required to find similar documents. You are expected to use locality-sensitive hashing for the task. Assume that you have the memory to compute 1000 signatures (hashes) and that you set your band size to 25 and the number of rows in each band to 40. a. What is the probability that two documents are identical in a band if they are 75% similar? What is the probability that two documents that are 70% similar get assigned to the same b. bucket? C. What is the probability that two documents that are 30% similar get assigned to the same bucket? d. What is the probability that two documents that are 15% similar get assigned to different buckets?
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To solve these problems we can use the Minhashing technique which is a localitysensitive hashing LSH ... View the full answer
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