BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Sandra Di Rocco (KTH Royal Institute of Technology) DTSTART:20201029T163000Z DTEND:20201029T173000Z DTSTAMP:20260422T173607Z UID:VCUcolloq/1 DESCRIPTION:Title: Geometry of Data\nby Sandra Di Rocco (KTH Royal Institute of Technol ogy) as part of VCU Mathematics and Applied Mathematics Colloquium Series\ n\n\nAbstract\nCollecting and more importantly analysing (big) sets of dat a is one of the greatest challenges of our society. One possible tool is g eometrical data analysis\, i.e.\, appropriately embed the data points on a geometrical object\, for example using polynomials. Many problems in scie nce can be described by polynomial equations. The solution set of the corr esponding polynomial system is referred to as an algebraic geometrical mod el for the problem. We will see how geometrical modeling is used in fields like Kinematics and Biochemistry. Sampling\, i.e.\, appropriately choosin g data points on the model\, is a powerful technique in the study of geome trical models. The key challenge is to estimate the right density of the data points in order to recover the shape of the model. An exciting and s urprising aspect of the story is that classical geometrical tools (from ea rly 1900) have shown to be effective and essential for data analysis.\n LOCATION:https://researchseminars.org/talk/VCUcolloq/1/ END:VEVENT END:VCALENDAR