Abstract
Gaussian process regression (GPR) is a non-parametric approach that can be used to make predictions based on a set of known points. It has been widely employed in recent years on a variety of problems. However the Gaussian process regression algorithm performs matrices inversions and the computational time can be extensive when accessing large training datasets. This is of critical importance when on-line learning and regression analyses are carried out on real-time applications. In this paper we propose a novel strategy, utilizing batch query processing and co-clustering, to achieve a scalable and efficient Gaussian process regression. The proposed strategy is applied to a real application involving the prediction of materials properties. Comprehensive tests have been conducted on two published properties data sets and the results demonstrate the high accuracy and efficiency of our new approach.
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References
Bailer-Jones, C., Bhadeshia, H., MacKay, D.: Gaussian process modelling of austenite formation in steel. Materials Science and Technology 15(3) (1999)
Gibbs, M.N., MacKay, D.J.C.: Efficient implementation of gaussian processes. Submitted to Statistics and Computing
Huang, Z., Shen, H., Liu, J., Zhou, X.: Effective data co-reduction for multimedia similarity search. In: Proceedings of the 2011 ACM SIGMOD International Conference on Management of Data, SIGMOD 2011, pp. 1021–1032. ACM, New York (2011)
Lee, S.-J., Park, K.-S.: Prediction of martensite start temperature in alloy steels with different grain sizes. Metallurgical and Materials Transactions A 44(8), 3423–3427 (2013)
Payson, P., Savage, C.: Martensite reactions in alloy steels. Transactions ASM 33, 261–275 (1944)
Rasmussen, C.E., Williams, C.K.I.: Gaussian Processes for Machine Learning (Adaptive Computation and Machine Learning). MIT Press (2005)
Sloński, M.: Bayesian neural networks and gaussian processes in identification of concrete properties. Computer Assisted Mechanics and Engineering Sciences 18(4), 291–302 (2011)
Snelson, E.: Local and global sparse gaussian process approximations. In: Proceedings of Artificial Intelligence and Statistics, AISTATS (2007)
Sourmail, T., Garcia-Mateo, C.: Critical assessment of models for predicting the ms temperature of steels. Computational Materials Science 34(4), 323–334 (2005)
Sourmail, T., Garcia-Mateo, C.: A model for predicting the ms temperatures of steels. Computational Materials Science 34(2), 213–218 (2005)
Stormvinter, A., Borgenstam, A., Ågren, J.: Thermodynamically based prediction of the martensite start temperature for commercial steels. Metallurgical and Materials Transactions. A 43A(10), 3870–3879 (2012), QC 20121029
Urtasun, R., Darrell, T.: T.: Sparse probabilistic regression for activity-independent human pose inference. In: IEEE Conference on Computer Vision and Pattern Recognition, CVPR (2008)
Weber, R., Schek, H.-J., Blott, S.: A quantitative analysis and performance study for similarity-search methods in high-dimensional spaces. In: Gupta, A., Shmueli, O., Widom, J. (eds.) VLDB 1998, Proceedings of 24th International Conference on Very Large Data Bases, New York City, USA, August 24-27, pp. 194–205. Morgan Kaufmann (1998)
de Weijer, A.P., Vermeulen, W.G., Morris, P.F., van der Zwagg, S.: Prediction of martensite start temperature using artificial neural network. Ironmaking and Steelmaking 23(5) (1996)
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Bélisle, E., Huang, Z., Gheribi, A. (2014). Scalable Gaussian Process Regression for Prediction of Material Properties. In: Wang, H., Sharaf, M.A. (eds) Databases Theory and Applications. ADC 2014. Lecture Notes in Computer Science, vol 8506. Springer, Cham. https://doi.org/10.1007/978-3-319-08608-8_4
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DOI: https://doi.org/10.1007/978-3-319-08608-8_4
Publisher Name: Springer, Cham
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