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Gaussian Processes, Support Vector Machines, Belief Networks

P Sollich. Learning curves for Gaussian processes. In M S Kearns, S A Solla, and D A Cohn, editors, Advances in Neural Information Processing Systems 11, pages 344-350, Cambridge, MA, 1999. MIT Press.
Abstract and full paper

P Sollich. Approximate learning curves for Gaussian processes. In ICANN99 - Ninth International Conference on Artificial Neural Networks, pages 437-442, London, 1999. The Institution of Electrical Engineers.
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P Sollich. Probabilistic interpretation and Bayesian methods for Support Vector Machines. In ICANN99 - Ninth International Conference on Artificial Neural Networks, pages 91-96, London, 1999. The Institution of Electrical Engineers.
Abstract and full paper

P Sollich. Probabilistic methods for Support Vector Machines. In S A Solla, T K Leen and K-R Müller, editors, Advances in Neural Information Processing Systems 12, pages 349-355, Cambridge, MA, 2000. MIT Press.
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P Sollich. Bayesian methods for Support Vector Machines: Evidence and predictive class probabilities. Machine Learning, 46:21-52, 2002.
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D Barber and P Sollich. Gaussian fields for approximate inference in layered sigmoid belief networks. In S A Solla, T K Leen and K-R Müller, editors, Advances in Neural Information Processing Systems 12, pages 393-399, Cambridge, MA, 2000. MIT Press.
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P Sollich and A Halees. Learning curves for Gaussian process regression: Approximations and bounds. Neural Computation, 14:1393-1428, 2002.
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P Sollich. Generalization of Plaskota's bound for Gaussian process learning curves. Technical report, unpublished.
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P Sollich. Gaussian process regression with mismatched models. In T G Dietterich, S Becker and Z Ghahramani, editors, Advances in Neural Information Processing Systems 14, pages 519-526, Cambridge, MA, 2002. MIT Press.
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C Gold and P Sollich. Model selection for Support Vector Machine classification. Neurocomputing, 55:221-249, 2003.
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P Sollich and C K I Williams. Using the equivalent kernel to understand Gaussian process regression. In L K Saul, Y Weiss and L Bottou, editors, Advances in Neural Information Processing Systems 17, pages 1313-1320, Cambridge, MA, 2005. MIT Press.
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P Sollich and C K I Williams. Understanding Gaussian process regression using the equivalent kernel. In J Winkler, N Lawrence and M Niranjan, editors, Deterministic and Statistical Methods in Machine Learning, Lecture Notes in Artificial Intelligence 3635, pages 199-210, Berlin, 2005. Springer.
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P Sollich. Can Gaussian process regression be made robust against model mismatch? In J Winkler, N Lawrence and M Niranjan, editors, Deterministic and Statistical Methods in Machine Learning, Lecture Notes in Artificial Intelligence 3635, pages 211-228, Berlin, 2005. Springer.
Abstract and full paper

C Gold and P Sollich. Fast Bayesian Support Vector Machine parameter tuning with the Nystrom method. In International Joint Conference on Neural Networks (IJCNN) 2005, vols. 1-5, pages 2820-2825, New York, 2005. IEEE.
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C Gold, A Holub and P Sollich. Bayesian approach to feature selection and parameter tuning for Support Vector Machine classifiers. Neural Networks, 18(5-6), 693-701, 2005.
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D Barber and P Sollich. Stable Belief Propagation in Gaussian DAGs. In International Conference on Acoustics, Speech, and Signal Processing (ICASSP) 2007, vol. 2, pages 409-412, 2007. IEEE.
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P Sollich, M Urry and C Coti. Kernels and learning curves for Gaussian process regression on random graphs. In Y Bengio, D Schuurmans, J Lafferty, C K I Williams and A Culotta, editors, Advances in Neural Information Processing Systems 22, pages 1723-1731, 2009.
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M Urry and P Sollich. Exact learning curves for Gaussian process regression on large random graphs. In J Lafferty and C K I Williams and J Shawe-Taylor and R S Zemel and A Culotta, editors, Advances in Neural Information Processing Systems 23, pages 2316-2324, 2010.
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M J Urry and P Sollich. Replica theory for learning curves for Gaussian processes on random graphs. Journal of Physics A, 45:425005, 2012.
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M J Urry and P Sollich. Random walk kernels and learning curves for Gaussian process regression on random graphs. Journal of Machine Learning Research, 14:1801-1835, 2013.
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P Sollich and S R F Ashton. Learning curves for multi-task Gaussian process regression. In P Bartlett, editor, Advances in Neural Information Processing Systems 25, pages 1781-1789, 2013. Curran Associates.
Abstract and full paper


next up previous
Next: Finite size effects Up: Statistical inference and neural Previous: Online learning
Last updated Mon Oct 17 2016
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