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david at merganser.math.gvsu.edu Introduction The topic of this article, the singular value decomposition , is one that should be a part of the standard mathematics undergraduate curriculum but all too often slips between the cracks.
singular value decomposition
systems and then have them rate their overall satisfaction. you can see the problem, its almost like measuring effectiveness of metrics requires a new metric, a meta-metric. another important point is that different metrics may be optimizing different aspects of the problem, and I highly suspect there is some arrow-theorem (see wikipedia) like result that the different goals that one would like to optimize for are in fact incompatible. arrows thm is a surprising but beautiful result from game theory about elections that names several highly preferred properties of elections, and proves they are in fact mathematically inconsistent. in fact various research into elections may be highly relevant here. in election theory, people vote on candidates, in collaborative filtering, they rate objects. not so different.
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[Followup to this ] Ok, so here's where I tell all about how I (now we) got to be tied for third place on the netflix prize . And I don't mean a sordid tale of computing in the jungle, but rather the actual math and methods. So yes, after reading this post, you too should be able to rank in the top ten or so. Ur... yesterday's top ten anyway.
An improvement of 4.81% over Cinematch at the time of writing. I used a mix of algorithms to get there. The simplest one is based on classifying the movies and then using the ratings of similar movies to make a prediction.
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Statistical Challenges in ECommerce: The First Interdisciplinary Symposium Between Information Systems, Statistics, and Related Fields ( 2005 ) Download
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