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Geometric Aspects of LSA

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Heinrich Hartmann
Heinrich Hartmann

Talk given at Oberseminar WeST in 2012

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Geometric Aspects of Semantic Indexing Dr. Heinrich Hartmann (Oxford) WeST Koblenz, 31.08.2012
Outline 1. Latent Semantic Analysis 2. Geometry of SVD 3. Common Ground
Part 1 Latent Semantic Analysis Problem. Given a set of documents (D1,...,DN) which documents have a similar topic? Answer. Latent Semantic Analysis (Deerwester, et. al. 1990)
Latent Semantic Analysis - 2
Latent Semantic Analysis - 3
Latent Semantic Analysis - 4
Latent Semantic Analysis - 5
Part 2 Geometry of SVD Study geometry of the associated map!
Part 3 Common Ground
Common Ground The extremal vector Which meaning has the extremal vector? Inside the term-space.
Common Ground Example 1
Common Ground Example 2
Common Ground Example 3
Common Ground Conclusion The extremal vector represents the Dominant Topic. Thank You

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