Information Retrieval - ad-teaching.infor...
Information Retrieval - ad-teaching.infor... Information Retrieval - ad-teaching.infor...
Latent Semantic Indexing 6/9• Singular Value Decomposition (SVD)– Let A be an arbitrary rectangular m x n matrix A– Then A can be written as U · ∑ · V Twhere U is m x k, ∑ is k x k, and V is n x k k = rank(A)and U T · U = I and V T · V = I (but not vice versa !)and ∑ is a diagonal matrix with the so-called singularvalues on its diagonal– Let's look at an example in Octave ...15
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Latent Semantic Indexing 6/9• Singular Value Decomposition (SVD)– Let A be an arbitrary rectangular m x n matrix A– Then A can be written as U · ∑ · V Twhere U is m x k, ∑ is k x k, and V is n x k k = rank(A)and U T · U = I and V T · V = I (but not vice versa !)and ∑ is a diagonal matrix with the so-called singularvalues on its diagonal– Let's look at an example in Octave ...15
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