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Introduction to Information Retrieval

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<strong>Introduction</strong> <strong>to</strong> <strong>Information</strong> <strong>Retrieval</strong><br />

Use angle instead of distance<br />

• Rank documents according <strong>to</strong> angle with query<br />

• Thought experiment: take a document d and append it <strong>to</strong><br />

itself. Call this document d′. d′ is twice as long as d.<br />

• “Semantically” d and d′ have the same content.<br />

• The angle between the two documents is 0, corresponding<br />

<strong>to</strong> maximal similarity . . .<br />

• . . . even though the Euclidean distance between the two<br />

documents can be quite large.<br />

38

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