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Conditionally Independent Component Extraction for Naive Bayes Inference

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Artificial Neural Networks — ICANN 2001 (ICANN 2001)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2130))

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Abstract

This paper extends the framework of independent component analysis (ICA) to supervised learning. The key idea is to find a conditionally independent representation of input variables for given output. The representation is useful for the naive Bayes learning which has been reported to perform as well as more sophisticated methods. The learning algorithm is derived in a similar criterion to ICA. Two dimensional entropy takes an important role, while one dimensional entropy does in ICA.

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References

  1. Akaho, S., Kiuchi, Y., Umeyama, S.: MICA: Multimodal independent component analysis. In Proc. of IJCNN (1999) 927–932

    Google Scholar 

  2. Becker, S.: Mutual Information Maximization: Models of Cortical Self-Organization. Network: Computation in Neural Systems, 7 (1996)

    Google Scholar 

  3. Bell, A. J., Sejnowski, T.J.: The ‘independent components’ of natural scenes are edge filters. Vision Research, 37 (1997) 3327–3338

    Article  Google Scholar 

  4. Cowell, R.G., Dawid, A.P., Lauritzen, S.L., Spiegelhalter, D.J.: Probabilistic Networks and Expert Systems. Springer (1999)

    Google Scholar 

  5. Domingos, P. and Pazzani, M.: On the optimality of the simple Bayesian classifier under zero-one loss. Machine Learning, 29 (1997) 103–130

    Article  MATH  Google Scholar 

  6. Frank, E., Leonard, T., Holmes, G., Witten, I.H.: Naive Bayes for regression. Machine Learning, 41 (2000) 5–25

    Article  Google Scholar 

  7. Friedman, J.: On bias, variance, 0/1-loss, and the curse-of-dimensionality. Data Mining and Knowledge Discovery, 1 (1997) 55–77

    Article  Google Scholar 

  8. Simonoff, J.S.: Smoothing Methods in Statistics. Springer-Verlag (1998)

    Google Scholar 

  9. Yang H., Amari, S.: Adaptive online learning algorithms for blind separation: Maximum entropy and minimum mutual information. Neural Computation, 9 (1997) 1457–1482

    Article  Google Scholar 

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Akaho, S. (2001). Conditionally Independent Component Extraction for Naive Bayes Inference. In: Dorffner, G., Bischof, H., Hornik, K. (eds) Artificial Neural Networks — ICANN 2001. ICANN 2001. Lecture Notes in Computer Science, vol 2130. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44668-0_75

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  • DOI: https://doi.org/10.1007/3-540-44668-0_75

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-42486-4

  • Online ISBN: 978-3-540-44668-2

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