Index Compression in Information Retrieval
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Questions and Answers

What is the predicted number of terms according to Heaps' law for the first 1,000,020 tokens?

38,323

What is the actual number of terms for the first 1,000,020 tokens?

38,365

Why is compressing the dictionary important?

To keep it in memory and for competition with other applications.

What is the limitation of using fixed-width entries for the dictionary?

<p>Most of the bytes in the term column are wasted due to the fixed width allocation.</p> Signup and view all the answers

How is the dictionary stored as a string, and what is the space requirement for this method?

<p>The dictionary terms are stored as one long string of characters, with term pointers marking the end of the preceding term and the beginning of the next. The space requirement is 7.6MB.</p> Signup and view all the answers

Why is compressing the dictionary important in information retrieval?

<p>To make it small enough to keep in main memory and to reduce disk space needed for the postings file.</p> Signup and view all the answers

What is the difference between lossy and lossless compression in the context of information retrieval?

<p>Lossy compression discards some information, while lossless compression preserves all information.</p> Signup and view all the answers

What is Heaps' law, and what does it indicate?

<p>Heaps' law is represented by M = kT^b, where M is the size of the vocabulary and T is the number of tokens in the collection. It indicates that the size of the vocabulary grows with the collection size.</p> Signup and view all the answers

What are the typical values for the parameters k and b in Heaps' law?

<p>Typical values for the parameters k and b are: 30 ≤ k ≤ 100 and b ≈ 0.5.</p> Signup and view all the answers

Why can't we assume there is an upper bound for the distinct words in the term vocabulary?

<p>The vocabulary will keep growing with the collection size, and there is no fixed upper bound due to the nature of the language and the increasing collection size.</p> Signup and view all the answers

Study Notes

Heaps' Law

  • Heaps' Law predicts the number of terms based on the number of tokens.
  • For the first 1,000,020 tokens, the predicted number of terms according to Heaps' Law is not provided (need calculation).

Actual Number of Terms

  • The actual number of terms for the first 1,000,020 tokens is not provided.

Dictionary Compression

  • Compressing the dictionary is important to reduce storage space and improve query efficiency.
  • Compression helps to minimize the space required to store the dictionary.

Limitations of Fixed-Width Entries

  • Using fixed-width entries for the dictionary has the limitation of wasted space for shorter entries.

Dictionary Storage

  • The dictionary can be stored as a string.
  • The space requirement for this method is the sum of the lengths of all terms.

Importance of Dictionary Compression

  • Compressing the dictionary is important in information retrieval to reduce storage space and improve query efficiency.

Lossy vs Lossless Compression

  • Lossy compression reduces the quality of the data, while lossless compression preserves the original data.
  • In information retrieval, lossless compression is preferred to maintain data accuracy.

Heaps' Law Description

  • Heaps' Law is a statistical law that describes the growth of distinct words (vocabulary) in a document collection.
  • Heaps' Law indicates that the number of distinct words grows sub-linearly with the number of tokens.

Heaps' Law Parameters

  • The typical values for the parameters k and b in Heaps' Law vary depending on the domain and language.

Bounds on Distinct Words

  • There is no upper bound for the distinct words in the term vocabulary, meaning the vocabulary can grow indefinitely with the number of tokens.

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Description

This quiz covers the concept of index compression in the context of information retrieval. It discusses the importance of compressing the dictionary and its impact on memory and speed.

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