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This lecture covers query expansion methods and algorithms, focusing on user relevance feedback and the Rocchio algorithm. It explains how to extend queries using a local approach with user feedback and a global approach with document collection information. The instructor discusses the Rocchio algorithm, which optimally separates relevant from non-relevant documents. Practical relevance feedback and pseudo-relevance feedback are also explored. Additionally, the lecture delves into query expansion techniques, including manual and automatic thesaurus generation. The importance of expanding queries using global resources like query logs is highlighted, along with the challenges and considerations involved in query expansion.