Hessian Corrected Input Noise Models

  • Botond Attila Bócsi
  • Lehel Csató
Part of the Lecture Notes in Computer Science book series (LNCS, volume 8131)


When the inputs of a regression problem are corrupted with noise, integrating out the noise process leads to biased estimates. We present a method that corrects the bias caused by the integration. The correction is proportional to the Hessian of the learned model and to the variance of the input noise. The method works for arbitrary regression models, the only requirement is two times differentiability of the respective model. The conducted experiments suggest that significant improvement can be gained using the proposed method. Nevertheless, experiments on high dimensional data highlight the limitations of the algorithm.


Mean Square Error High Dimensional Data Input Noise Output Noise Gaussian Process Regression 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  • Botond Attila Bócsi
    • 1
  • Lehel Csató
    • 1
  1. 1.Faculty of Mathematics and InformaticsBabeş-Bolyai UniversityRomania

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