Theory of Computing Seminar

Friday April 17, 2015 12:00 PM

Detection of Planted Solutions for Flat Satisfiability Problems

Speaker: Quentin Berthet, Caltech
Location: Annenberg 213

Abstract:

We study the detection problem of finding planted solutions in random instances of flat satisfiability problems, a generalization of boolean satisfiability formulas. We describe the properties of random instances
of flat satisfiability, as well of the optimal rates of detection of the  associated hypothesis testing problem. We also study the performance of an algorithmically efficient testing procedure. Introducing a modification of our model, the light planting of solutions, allows us to hint strongly at the difficulty of detecting planted flat satisfiability for a wide class of tests, by relating this problem to learning parity with noise. 
Series Theory of Computing Seminar Series

Contact: Thomas Vidick vidick@cms.caltech.edu