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A Prior for Neural Networks Utilizing Enclosing Spheres for Normalization  (Make Corrections)  
U. v. Toussaint, S. Gori, V. Dose



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Abstract: Neural Networks are famous for their advantageous flexibility for problems when there is insufficient knowledge to set up a proper model. On the other hand this flexibility can cause overfitting and can hamper the generalization properties of neural networks. Many approaches to regularize NN have been suggested but most of them based on ad-hoc arguments. Employing the principle of transformation invariance we derive a general prior in accordance with the Bayesian probability theory for a... (Update)

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BibTeX entry:   (Update)

@misc{ toussaint-prior,
  author = "U. v. Toussaint and S. Gori and V. Dose",
  title = "A Prior for Neural Networks Utilizing Enclosing Spheres for Normalization",
  url = "citeseer.ist.psu.edu/729807.html" }
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214   Universal approximation bounds for superposition of a sigmoi.. (context) - BARRON - 1993
153   A practical Bayesian framework for backpropagation networks (context) - MACKAY - 1992
48   Data Analysis: A Bayesian Tutorial (context) - SIVIA - 1996
31   Bayesian regularization and pruning using a laplace prior (context) - WILLIAMS - 1995
23   Kernel methods for pattern analysis (context) - SHAWE-TAYLOR, CRISTIANINI - 2004
13   Maximum Entropy in Action (context) - BUCK, MACAULAY - 1991
2   Approach for the evaluation of speckle deformation measureme.. (context) - BERGER - 1997
1   Regularization with a pruning prior in Neural Networks (context) - GOUTTE, HANSEN - 1997
1   Prior probabilities in Papers on Probability (context) - JAYNES - 1983
1   Bayesian training of backpropagation networks (context) - NEAL - 1992
1   Hyperplane priors in Bayesian Inference and Maximum Entropy .. (context) - DOSE - 2003
1   Bayesian approach for neural networks (context) - LAMPINEN, VEHTARI - 2001
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