ON THE APPLICATION OF ELIMINATION IDEAL FOR STATISTICAL MODEL
The set of parameters that 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 Hilbertâ€™s basis theorem.
We calculate the parameterization of the 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
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.
The submitter hereby warrants that the Work (collectively, the “Materials”) is original and that he/she is the author of the Materials. To the extent the Materials incorporate text passages, figures, data or other material from the works of others, the undersigned has obtained any necessary permissions. Where necessary, the undersigned has obtained all third party permissions and consents to grant the license above and has all copies of such permissions and consents.
The submitter represents that he/she has the power and authority to make and execute this assignment. The submitter agrees to indemnify and hold harmless the COMPUSOFT from any damage or expense that may arise in the event of a breach of any of the warranties set forth above. For authenticity, validity and originality of the research paper the author/authors will be totally responsible.