Communications of the ACM
The nature of statistical learning theory
The nature of statistical learning theory
Almost optimal differentiation using noisy data
Journal of Approximation Theory
An upper bound on the Bayesian error bars for generalized linear regression
MANNA '95 Proceedings of the first international conference on Mathematics of neural networks : models, algorithms and applications: models, algorithms and applications
General bounds on Bayes errors for regression with Gaussian processes
Proceedings of the 1998 conference on Advances in neural information processing systems II
Learning curves for Gaussian processes
Proceedings of the 1998 conference on Advances in neural information processing systems II
Bayesian Learning for Neural Networks
Bayesian Learning for Neural Networks
Evaluation of gaussian processes and other methods for non-linear regression
Evaluation of gaussian processes and other methods for non-linear regression
Learning curves for Gaussian process regression: approximations and bounds
Neural Computation
Learning curves for Gaussian processes via numerical cubature integration
ICANN'11 Proceedings of the 21th international conference on Artificial neural networks - Volume Part I
Can gaussian process regression be made robust against model mismatch?
Proceedings of the First international conference on Deterministic and Statistical Methods in Machine Learning
Random walk kernels and learning curves for Gaussian process regression on random graphs
The Journal of Machine Learning Research
Hi-index | 0.00 |
In this paper we introduce and illustrate non-trivial upper and lower bounds on the learning curves for one-dimensional Guassian Processes. The analysis is carried out emphasising the effects induced on the bounds by the smoothness of the random process described by the Modified Bessel and the Squared Exponential covariance functions. We present an explanation of the early, linearly-decreasing behavior of the learning curves and the bounds as well as a study of the asymptotic behavior of the curves. The effects of the noise level and the lengthscale on the tightness of the bounds are also discussed.