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- W4353114686 abstract "When considering a real log canonical threshold (RLCT) that gives a Bayesian generalization error, in general, papers replace a mean error function with a relatively simple polynomial whose RLCT corresponds to that of the mean error function, and obtain its RLCT by resolving its singularities through an algebraic operation called blow-up. Though it is known that the singularities of any polynomial can be resolved by a finite number of blow-up iterations, it is not clarified whether or not it is possible to resolve singularities of a specific polynomial by applying a specific blow-up algorithm. Therefore this paper considers the blow-up algorithm for the polynomials called sum-of-products (sop) polynomials and its RLCT." @default.
- W4353114686 created "2023-03-23" @default.
- W4353114686 creator A5011479556 @default.
- W4353114686 date "2023-03-21" @default.
- W4353114686 modified "2023-09-27" @default.
- W4353114686 title "Blow-up Algorithm for Sum-of-Products Polynomials and Real Log Canonical Thresholds" @default.
- W4353114686 doi "https://doi.org/10.48550/arxiv.2303.11619" @default.
- W4353114686 hasPublicationYear "2023" @default.
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