Algebraic Geometry of Data

Understanding the shape of Algebraic models, i.e. problems modeled by polynomial constrains, is an exciting and important challenge within Mathematics and its applications.

Here are some introductory slides : wasp.pdf

 

 

Below are some slides from a course I gave some time ago.

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These are the slides of a Ph.D summer course held at he ICTP, trieste.

Lect I  geometrical modeling lecturei.pdf

Lect II Sampling: the reach of a manifold lectii.pdf

Lect III  The classical theory: polar geometry 

Lect IV  The EDD of a manifold lectureiv.pdf

Lect V   The bottheneck of a manifold lecturev.pdf