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As an academic field of study, information retrieval is defined as an activity of finding useful information from a collection of information stored in computers. People engage in information retrieval by providing a query consisting of keyword(s) to the web search engine for relevant documents to be returned. Several information retrieval systems are currently used. This senior project is designed to explore the mathematical mechanism underlying the retrieval technique referred to as latent semantic indexing. It studies 530 twitter tweets, in which there exist 282 keywords. I use matrix decomposition to construct a low-rank approximation to the term-document matrix. Then I examine the application of such low-rank approximation method to indexing and retrieving documents. I utilize precision, recall and F-measure to compare the method in the rank 2 and rank 3 cases.
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Du, Siyao, "A Linear Algebraic Approach to Information Retrieval" (2012). Senior Projects Spring 2012. 232.