Theory Seminar: On Monotonicity Testing and Boolean Type Isoperimetric Inequalities

Dor Minzer (Tel-Aviv University)
Wednesday, 4.11.2015, 12:30
Taub 201

We show a directed and robust analogue of a Boolean isoperimetric type theorem of Talagrand. As an application, we give a monotonicity testing algorithm that makes O(\sqrt{n}/\eps^2) non-adaptive queries to a function f, always accepts a monotone function and rejects a function that is \eps-far from being monotone with constant probability.

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