We consider the design of self-testers for quantum gates. A self-tester for the gates F 1, . . . , F m is a procedure that, given any gates G1, . . . , Gm, decides with high probab...
In this work we give the first deterministic extractors from a constant number of weak sources whose entropy rate is less than 1/2. Specifically, for every > 0 we give an expl...
If Kolmogorov complexity [25] measures information in one object and Information Distance [4, 23, 24, 42] measures information shared by two objects, how do we measure information...
Aiming towards the development of a general clustering theory, we discuss abstract axiomatization for clustering. In this respect, we follow up on the work of Kleinberg, ([1]) tha...
Internet search companies sell advertisement slots based on users' search queries via an auction. While there has been previous work on the auction process and its game-theor...