Introduction to Information Retrieval
Introduction to Information Retrieval Introduction to Information Retrieval
Introduction to Information Retrieval Cosine similarity between query and document • q i is the tf-idf weight of term i in the query. • d i is the tf-idf weight of term i in the document. • | | and | | are the lengths of and • This is the cosine similarity of and . . . . . . or, equivalently, the cosine of the angle between and 42
Introduction to Information Retrieval Cosine for normalized vectors • For normalized vectors, the cosine is equivalent to the dot product or scalar product. • (if and are length-normalized). 43
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<strong>Introduction</strong> <strong>to</strong> <strong>Information</strong> <strong>Retrieval</strong><br />
Cosine for normalized vec<strong>to</strong>rs<br />
• For normalized vec<strong>to</strong>rs, the cosine is equivalent <strong>to</strong> the dot<br />
product or scalar product.<br />
• (if and are length-normalized).<br />
43
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