no code implementations • 19 Nov 2021 • Kunal Dutta, Arijit Ghosh, Shay Moran
We study the connections between three seemingly different combinatorial structures - "uniform" brackets in statistics and probability theory, "containers" in online and distributed learning theory, and "combinatorial Macbeath regions", or Mnets in discrete and computational geometry.
no code implementations • 12 Dec 2014 • Kunal Dutta, Arijit Ghosh
We prove a size-sensitive version of Haussler's Packing lemma~\cite{Haussler92spherepacking} for set-systems with bounded primal shatter dimension, which have an additional {\em size-sensitive property}.