14/09/2026
Ako možno zovšeobecniť pojem kvantilu na viacrozmerné dáta? A čo s tým má spoločné konvexná geometria?
Aj na tieto otázky sa pozrieme počas prednášky Halfspace depth: Geometry of multivariate quantiles, ktorú na našom ústave prednesie doc. Mgr. Stanislav Nagy, Ph.D. z Katedry pravdepodobnosti a matematickej štatistiky Matematicko-fyzikálnej fakulty Univerzity Karlovej.
📅 23. 9. 2026 | 14:30 – 16:00
📍 VKM, Jesenná 5, Košice
A o čom presne bude reč? Viac vám napovie abstrakt:
Statistical depth is a non-parametric tool applicable to multivariate and non-Euclidean data, whose goal is a reasonable generalisation of quantiles to multivariate and more exotic datasets. We discuss the halfspace depth, the most classical depth in statistics. J. W. Tukey proposed that depth in 1975; its rigorous investigation started in the 1990s, and still, an abundance of open problems stimulates research in the area.
We present surprising links of the halfspace depth with well-studied concepts from convex geometry. Using these relations, we partially resolve several open problems concerning depth. In particular, we resolve the 30-year-old characterisation conjecture, asking whether two different measures can correspond to the same halfspace depth.
Ak vás téma zaujíma, príďte si prednášku vypočuť. Tešíme sa na vás! 💚
