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stat.ML2019
Gradient Boosts the Approximate Vanishing Ideal
Hiroshi Kera, Yoshihiko Hasegawa
In the last decade, the approximate vanishing ideal and its basis construction algorithms have been extensively studied in computer algebra and machine learning as a general model…
stat.ML2019
Spurious Vanishing Problem in Approximate Vanishing Ideal
Hiroshi Kera, Yoshihiko Hasegawa
Approximate vanishing ideal is a concept from computer algebra that studies the algebraic varieties behind perturbed data points. To capture the nonlinear structure of perturbed po…
stat.ML2018★ 6 cited
Approximate Vanishing Ideal via Data Knotting
Hiroshi Kera, Yoshihiko Hasegawa
The vanishing ideal is a set of polynomials that takes zero value on the given data points. Originally proposed in computer algebra, the vanishing ideal has been recently exploited…