Motivated by the connections between collaborative filtering and network clustering, we consider a network-based approach to improving rating prediction in recommender systems. We propose a novel Bipartite Mixed-Membership Stochastic Block Model ($\mathrm{BM}^2$) with a conjugate prior from the exponential family. We derive the analytical expression of the model and introduce a variational Bayesian expectation-maximization algorithm, which is computationally feasible for approximating the untractable posterior distribution. We carry out extensive simulations to show that $\mathrm{BM}^2$ provides more accurate inference than standard SBM with the emergence of outliers. Finally, we apply the proposed model to a MovieLens dataset and find that it outperforms other competing methods for collaborative filtering.
Variational Bayesian inference for bipartite mixed-membership stochastic block model with applications to collaborative filtering
Zifeng Ye,Kun Chen,Panpan Zhang
Published 2023 in Computational Statistics & Data Analysis
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- Publication year
2023
- Venue
Computational Statistics & Data Analysis
- Publication date
2023-05-09
- Fields of study
Mathematics, Computer Science
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