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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 />

Documents as vec<strong>to</strong>rs<br />

• Each document is now represented as a real-valued vec<strong>to</strong>r<br />

of tf-idf weights ∈ R |V|.<br />

• So we have a |V|-dimensional real-valued vec<strong>to</strong>r space.<br />

• Terms are axes of the space.<br />

• Documents are points or vec<strong>to</strong>rs in this space.<br />

• Very high-dimensional: tens of millions of dimensions when<br />

you apply this <strong>to</strong> web search engines<br />

• Each vec<strong>to</strong>r is very sparse - most entries are zero.<br />

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