We review the basic principles of Quasi-Monte Carlo (QMC) methods, the randomizations that turn them into variancereduction techniques, and the main classes of constructions under...
A mass problem is a set of Turing oracles. If P and Q are mass problems, we say that P is weakly reducible to Q if every member of Q Turing computes a member of P. We say that P i...
We consider Zador's asymptotic formula for the distortion-rate function for a variable-rate vector quantizer in the high-rate case. This formula involves the differential ent...
The Choquet integral w.r.t. a capacity can be seen in the finite case as a parsimonious linear interpolator between vertices of [0, 1]n. We take this basic fact as a starting poin...
A model for statistical ranking is a family of probability distributions whose states are orderings of a xed nite set of items. We represent the orderings as maximal chains in a ...