Title | ||
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Exponential Family Tensor Factorization for Missing-Values Prediction and Anomaly Detection |
Abstract | ||
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In this paper, we study probabilistic modeling of heterogeneously attributed multi-dimensional arrays. The model can manage the heterogeneity by employing an individual exponential-family distribution for each attribute of the tensor array. These entries are connected by latent variables and are shared information across the different attributes. Because a Bayesian inference for our model is intractable, we cast the EM algorithm approximated by using the Lap lace method and Gaussian process. This approximation enables us to derive a predictive distribution for missing values in a consistent manner. Simulation experiments show that our method outperforms other methods such as PARAFAC and Tucker decomposition in missing-values prediction for cross-national statistics and is also applicable to discover anomalies in heterogeneous office-logging data. |
Year | DOI | Venue |
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2010 | 10.1109/ICDM.2010.39 | Data Mining |
Keywords | Field | DocType |
Bayes methods,Gaussian processes,Laplace equations,belief networks,expectation-maximisation algorithm,inference mechanisms,matrix decomposition,prediction theory,sensor fusion,Bayesian inference,Gaussian process,Laplace method,anomaly detection,cross national statistic,exponential family tensor factorization,missing values prediction,multidimensional array,office logging data,probabilistic modeling,Bayesian probabilistic model,Gaussian process,data fusion,tensor factorization | Bayesian inference,Computer science,Expectation–maximization algorithm,Matrix decomposition,Exponential family,Laplace's method,Gaussian process,Artificial intelligence,Tucker decomposition,Missing data,Machine learning | Conference |
ISSN | ISBN | Citations |
1550-4786 E-ISBN : 978-0-7695-4256-0 | 978-0-7695-4256-0 | 13 |
PageRank | References | Authors |
0.64 | 19 | 4 |
Name | Order | Citations | PageRank |
---|---|---|---|
Hayashi, Kohei | 1 | 159 | 15.31 |
Takashi Takenouchi | 2 | 182 | 19.44 |
Tomohiro Shibata | 3 | 256 | 49.49 |
Kamiya, Y. | 4 | 13 | 0.98 |