Geometric Structures seminar - Alessandro Tamai - Dec 18 - 14:00 - Room 005

[Tommaso Rossi]

Dear All,

This is to announce the next seminar from the series "Geometric Structures".

*Date and venue*: Thursday December 18 - 14:00 - Room 005

*Speaker*: Alessandro Tamai (SISSA)

*Title*: Testing the variety hypothesis

*Abstract*: Given a probability measure on the unit disk, we study the 
problem of deciding whether, for some threshold probability, this 
measure is supported near a real algebraic variety of given dimension 
and bounded degree. We call this “testing the variety hypothesis”. We 
prove an upper bound on the so–called “sample complexity” of this 
problem and show how it can be reduced to a semialgebraic decision 
problem. This is done by studying in a quantitative way the Hausdorff 
geometry of the space of real algebraic varieties of a given dimension 
and degree.


More information can be found here: 
https://researchseminars.org/seminar/Geometric_Structures_SISSA