Thời gian: 09h00, thứ năm, ngày 12/10/2023.
Địa điểm: Phòng 507, nhà A6.
Tóm tắt: We prove the theoretical guarantee of the kernel trick for bi-class support vector machine in cases where the feature maps are vectors of monomials. To establish this guarantee, we present a hierarchy of linear systems of increasing sizes that return a sequence of polynomials. Moreover, with probability near one and sufficiently large sizes of linear systems, the resulting polynomials determine algebraic hypersurfaces which separate two disjoint sets with given uniformly random samples.
Next we aim to generalize the result for bi-class support vector machine to handle
This is based on joint work with Jean-Bernard Lasserre, Victor Magron, and Srecko Durasinovic.