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This paper describes a new collaborative filtering recommendation algorithm based on probability matrix factorization. The proposed algorithm decomposes the rating matrix into two nonnegative matrixes using a predictive rating model. After normalization processing, these two nonnegative matrixes provide useful probability semantics. The posterior distribution of the real part of the probability model...
We use the hyperspherical harmonic method developed by us to directly solve the Schrodinger equation for some muonic molecules without recourse to the Born-Oppenheimer approximation. In our method, a kind of simplified potential harmonic representation derived by us is used, and analytic expressions for all matrix elements are obtained; the generalized Laguerre function expansion method is used in...
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