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An unambiguous list of computational steps involved in finding a solution to a class of problems.
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Low Rank Matrix Factorization Collaborative Filtering - given a sparse set of feature data
NA is not 0. In the nomenclature from the class, your $R$ matrix would reflect whether it is NA or not. For your $Y$, it doesn't matter what you put there because after multiplying with $R$, it won't …
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How to deal with giant sparse matrices?
If you want to go bigger, I would suggest http://spark.incubator.apache.org/ which has been developed to solve the problem of iterative algorithms (like alternating least squares). … Redistribution is expensive in Hadoop due to network costs, so such algorithms suffer.
If you do end up trying it, please share your experience. …