Monomial-agnostic computation of vanishing ideals

DOI10.1016/j.jaca.2024.100022MaRDI QIDQ6671808

Hiroshi Kera, Yoshihiko Hasegawa

Publication date: 27 January 2025

Published in: Journal of Computational Algebra (Search for Journal in Brave)

zbMATH Keywords

vanishing idealapproximate basis computationmonomial-agnostic computational algebra

Mathematics Subject Classification ID

Computer science (68-XX) Information and communication theory, circuits (94-XX)

Cites Work

• Noise-tolerant algebraic method for reconstruction of nonlinear dynamical systems
• Simple varieties for limited precision points
• Approximate computation of zero-dimensional polynomial ideals
• Stable border bases for ideals of points
• Almost vanishing polynomials for sets of limited precision points
• A computational algebra approach to the reverse engineering of gene regulatory networks
• Generalized principal component analysis
• Computer Algebra in Systems Biology
• Border basis computation with gradient-weighted normalization

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