CORR
2011
Springer
12 years 11 months ago
2011
Springer
This paper considers the problem of matrix completion, when some number of the columns are arbitrarily corrupted, potentially by a malicious adversary. It is well-known that stand...
COMGEO
2011
ACM
12 years 11 months ago
2011
ACM
In this note, we show that the size of the perimeter of (α, β)-covered objects is a linear function of the diameter. Specifically, for an (α, β)-covered object O, per(O) ≤ c...
ECCC
1998
13 years 4 months ago
1998
In this paper, we give two explicit constructions of extractors, both of which work for a source of any min-entropy on strings of length n. The rst extracts any constant fraction ...
CORR
2006
Springer
13 years 4 months ago
2006
Springer
Abstract--We investigate the structure of the polytope underlying the linear programming (LP) decoder introduced by Feldman, Karger, and Wainwright. We first show that for expander...
FOCS
1994
IEEE
13 years 8 months ago
1994
IEEE
Sipser and Spielman have introduced a constructive family of asymptotically good linear error-correcting codes--expander codes--together with a simple parallel algorithm that will ...
IPPS
1999
IEEE
13 years 8 months ago
1999
IEEE
In this paper we consider general simulations of algorithms designed for fully operational BSP and CGM machines on machines with faulty processors. The faults are deterministic (i...
EUROCRYPT
2004
Springer
13 years 10 months ago
2004
Springer
Generating a distributed key, where a constant fraction of the players can reconstruct the key, is an essential component of many largescale distributed computing tasks such as ful...
ADHOCNOW
2004
Springer
13 years 10 months ago
2004
Springer
We consider a wireless sensor network in which each sensor is able to transmit within a disk of radius one. We show with elementary techniques that there exists a constant c such t...
FOCS
2005
IEEE
13 years 10 months ago
2005
IEEE
We present a polynomial time algorithm based on semidefinite programming that, given a unique game of value 1 − O(1/ log n), satisfies a constant fraction of constraints, wher...
STOC
2003
ACM
14 years 4 months ago
2003
ACM
This paper provides the first explicit construction of extractors which are simultaneously optimal up to constant factors in both seed length and output length. More precisely, fo...