FOCS
2006
IEEE
14 years 6 months ago
2006
IEEE
We prove that the hit-and-run random walk is rapidly mixing for an arbitrary logconcave distribution starting from any point in the support. This extends the work of [26], where t...
FOCS
2006
IEEE
14 years 6 months ago
2006
IEEE
We give the first representation-independent hardness results for PAC learning intersections of halfspaces, a central concept class in computational learning theory. Our hardness...
FOCS
2006
IEEE
14 years 6 months ago
2006
IEEE
Given an undirected hypergraph and a subset of vertices S ⊆ V with a specified root vertex r ∈ S, the STEINER ROOTED-ORIENTATION problem is to find an orientation of all the...
FOCS
2006
IEEE
14 years 6 months ago
2006
IEEE
In this paper, we use random-selection protocols in the full-information model to solve classical problems in distributed computing. Our main results are the following: • An O(l...
FOCS
2006
IEEE
14 years 6 months ago
2006
IEEE
A family of subsets C of [n] def = {1, . . . , n} is (r, t)exclusive if for every S ⊂ [n] of size at least n − r, there exist S1, . . . , St ∈ C with S = S1∪S2∪· · · ...
FOCS
2006
IEEE
14 years 6 months ago
2006
IEEE
Combinatorial allocation problems require allocating items to players in a way that maximizes the total utility. Two such problems received attention recently, and were addressed ...
FOCS
2006
IEEE
14 years 6 months ago
2006
IEEE
FOCS
2006
IEEE
14 years 6 months ago
2006
IEEE
We advance significantly beyond the recent progress on the algorithmic complexity of Nash equilibria by solving two major open problems in the approximation of Nash equilibria an...
FOCS
2006
IEEE
14 years 6 months ago
2006
IEEE
We show that quantum circuits cannot be made faulttolerant against a depolarizing noise level of ˆθ = (6 − 2 √ 2)/7 ≈ 45%, thereby improving on a previous bound of 50% (du...
FOCS
2006
IEEE
14 years 6 months ago
2006
IEEE
In this work we study a wide range of online and offline routing and packing problems with various objectives. We provide a unified approach, based on a clean primal-dual method...