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Training Data Selection for Optimal Generalization with Noise Variance Reduction in Neural Networks (1998)  (Make Corrections)  (3 citations)
Sethu Vijayakumar, Masashi Sugiyama, Hidemitsu Ogawa



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Abstract: In this paper, we discuss the problem of active training data selection in the presence of noise. We formalize the learning problem in neural networks as an inverse problem using a functional analytic framework and use the Averaged Projection criterion as our optimization criterion for learning. Based on the above framework, we look at training data selection from two objectives, namely, improving the generalization ability and secondly, reducing the noise variance in order to achieve better... (Update)

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...the bias is explicitly evaluated by utilizing the knowledge of the distribution of the learning target functions. Vijayakumar, Sugiyama, and Ogawa (1998) extended the condition to the noisy case by dividing the sampling scheme into two stages. The first stage is for reducing...

Cited by:   More
Incremental Projection Learning for Optimal Generalization - Sugiyama, Ogawa (2001)   (Correct)
Incremental Active Learning for Optimal Generalization - Sugiyama, Ogawa   (Correct)

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BibTeX entry:   (Update)

Vijayakumar, S., Sugiyama, M., & Ogawa, H. (1998). Training data selection for optimal generalization with noise variance reduction in neural networks. In M. Marinaro & R. Tagliaferri (Eds.), Neural Nets WIRN Vietri-98 (pp. 153--166). Springer-Verlag. http://citeseer.ist.psu.edu/article/vijayakumar98training.html   More

@misc{ vijayakumar98training,
  author = "S. Vijayakumar and M. Sugiyama and H. Ogawa",
  title = "Training data selection for optimal generalization with noise variance
    reduction in neural networks",
  text = "Vijayakumar, S., Sugiyama, M., & Ogawa, H. (1998). Training data selection
    for optimal generalization with noise variance reduction in neural networks.
    In M. Marinaro & R. Tagliaferri (Eds.), Neural Nets WIRN Vietri-98 (pp.
    153--166). Springer-Verlag.",
  year = "1998",
  url = "citeseer.ist.psu.edu/article/vijayakumar98training.html" }
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