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.
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