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cs.SC2021
Border basis computation with gradient-weighted normalization
Hiroshi Kera
Normalization of polynomials plays a vital role in the approximate basis computation of vanishing ideals. Coefficient normalization, which normalizes a polynomial with its coeffici…
cs.SC2021
Monomial-agnostic computation of vanishing ideals
Hiroshi Kera, Yoshihiko Hasegawa
In the last decade, the approximate basis computation of vanishing ideals has been studied extensively in computational algebra and data-driven applications such as machine learnin…