On the application of elimination ideal for statistical model

Authors

  • Takahashi T Department of Intelligence and Informatics, Konan University, Japan
  • Washino T Graduate School of Natural Science, Konan University, Japan

Keywords:

statistical model, elimination ideal, Gröbner basis

Abstract

The set of parameters by which the true density function is realizable by a statistical model is a common set of zero points defined by finite polynomials by applying Hilbert’s basis theorem. We calculate the parameterization of this algebraic set by considering the elimination ideal of the ideal defined by the finite polynomials. In this paper, we show the calculation results for recurrence formula by using computer algebra system.

References

Buchberger, B. 1985. Greobner Bases, an algorithmic methodin polynomial ideal theory, in Multidimensional Systems Theory, edited by N. K. Bose. D. Reidel Publishing Company, Dordrecht, 184-232.

Fukumizu, K. and Amari, S. "Local minima and plateaus in hierarchical structures of multilayer perceptrons", Neural Networks, vol. 13, no. 3, 317-327, 2000.

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Published

2024-02-26

How to Cite

Takahashi, T., & Washino, T. (2024). On the application of elimination ideal for statistical model. COMPUSOFT: An International Journal of Advanced Computer Technology, 9(05), 3685–3689. Retrieved from https://ijact.in/index.php/j/article/view/570

Issue

Section

Original Research Article

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