The Singular Value Decomposition 4 / 4 / 06 Lecturer : Lillian
نویسندگان
چکیده
In today’s lecture we will finally state the Singular Value Decompotion ‘theorem’. To build some intuition for it, we will continue exploring the underlying geometric interpretations of Matrix Theoretic Corpus Characterizations. We wish to develop a general way of succinctly describing properties inherent in some corpora using matrices. Since we already know of a vector space representation for documents, we would be interested in characterizing the spread of the document vectors in a geometric sense. We will revisit two possibilities for characterizations that were discussed last time, and consider two more today1:
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