Application of a Gaussian, Missing-Data Model to Product Recommendation

A Gaussian, missing-data model is applied to predict product ratings. Vectors of product ratings from users are assumed to be independent and identically distributed. Two approaches for parameter estimation in this model are studied: Little and Rubin´s expectation-maximization algorithm and McMichael´s modified stochastic gradient descent approach. The resulting estimates are used in minimum mean squared error prediction of product ratings using the conditional mean. On a large dataset, performance using McMichael´s approach is better than reported performance of the popular matrix factorization approach.