SEMINARS IN STATISTICS @ COLLEGIO CARLO ALBERTO <https://www.carloalberto.org/events/category/seminars/seminars-in-statistics/?tribe-bar-date=2019-09-01> Venerdi 19 Novembre 2021, alle ore 12.00, presso il Collegio Carlo Alberto, in Piazza Arbarello 8, Torino, si terrà il seguente seminario: ------------------------------------------------ Speaker: *Lorenzo Rosasco *(University of Genova & MIT) Title: *Interpolation and learning with scale dependent kernels* Abstract: We study the learning properties of nonparametric ridge-less least squares. In particular, we consider the common case of estimators defined by scale dependent (Matern) kernels, and focus on the role scale and smoothness. These estimators interpolate the data and the scale can be shown to control their stability to noise and sampling. Larger scales, corresponding to smoother functions, improve stability with respect to sampling. However, smaller scales, corresponding to more complex functions, improve stability to noise. We will discuss to which extent these results can explain the learning curves observed for large overparameterized models. Our analysis combines, probabilistic results with analytic techniques from interpolation theory. ------------------------------------------------ In ottemperanza alle norme anti Covid, per partecipare in presenza è necessario prenotarsi tramite il seguente form online: https://forms.gle/236nC7S6NrVwHzEm8 Sarà possibile seguire il seminario anche in streaming: Join Zoom Meeting <https://us02web.zoom.us/j/82967941062?pwd=RGpFUmY2YzdLS2VyMnJTeCt5ODFVZz09> Meeting ID: 829 6794 1062 Passcode: 846274 Il seminario è organizzato dalla "de Castro" Statistics Initiative www.carloalberto.org/stats Cordiali saluti, Pierpaolo De Blasi --- University of Torino & Collegio Carlo Alberto carloalberto.org/pdeblasi <https://sites.google.com/a/carloalberto.org/pdeblasi/>