The Complexity of Distributions

Computer Science/Discrete Mathematics Seminar I
Topic:The Complexity of Distributions
Speaker:Emanuele Viola
Affiliation:Northeastern University
Date:Monday, March 5
Time/Room:11:15am - 12:15pm/S-101

Complexity theory, with some notable exceptions, typically studies the complexity of computing a function h(x) of a *given* input x. We advocate the study of the complexity of generating -- or sampling -- the output distribution h(x) for random x, given random bits. In particular, we present first-of-their-kind lower bounds for generating distributions in various restricted computational models. We also discuss connections to succinct data structures and to randomness extractors.