Stable Border Bases for Ideals of Points - Mathematics > Commutative AlgebraReport as inadecuate




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Abstract: Let $X$ be a set of points whose coordinates are known with limited accuracy;our aim is to give a characterization of the vanishing ideal $IX$ independentof the data uncertainty. We present a method to compute a polynomial basis $B$of $IX$ which exhibits structural stability, that is, if $\widetilde X$ isany set of points differing only slightly from $X$, there exists a polynomialset $\widetilde B$ structurally similar to $B$, which is a basis of theperturbed ideal $ I\widetilde X$.



Author: John Abbott, Claudia Fassino, Maria-Laura Torrente

Source: https://arxiv.org/







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