Simple Approximate Varieties for Sets of Empirical Points

Claudia Fassino; Maria-Laura Torrente

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arXiv · 1008.0274

Simple Approximate Varieties for Sets of Empirical Points

Claudia Fassino·Maria-Laura Torrente

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Abstract

We present a symbolic-numeric approach for the analysis of a given set of noisy data, represented as a finite set $\X$ of limited precision points. Starting from $\X$ and a permitted tolerance $\varepsilon$ on its coordinates, our method automatically determines a low degree monic polynomial whose associated variety passes close to each point of $\X$ by less than the given tolerance $\varepsilon$.

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Claudia Fassino, Maria-Laura Torrente. 2010-08-02. Simple Approximate Varieties for Sets of Empirical Points. https://arxiv.org/abs/1008.0274

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