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COCO
2007
Springer
94views Algorithms» more  COCO 2007»
14 years 4 months ago
On Approximate Majority and Probabilistic Time
We prove new results on the circuit complexity of Approximate Majority, which is the problem of computing Majority of a given bit string whose fraction of 1's is bounded away...
Emanuele Viola
COCO
2007
Springer
101views Algorithms» more  COCO 2007»
14 years 4 months ago
On Heuristic Time Hierarchies
Konstantin Pervyshev
COCO
2007
Springer
106views Algorithms» more  COCO 2007»
14 years 4 months ago
On Parameterized Path and Chordless Path Problems
Yijia Chen, Jörg Flum
COCO
2007
Springer
111views Algorithms» more  COCO 2007»
14 years 4 months ago
Efficient Arguments without Short PCPs
Current constructions of efficient argument systems combine a short (polynomial size) PCP with a cryptographic hashing technique. We suggest an alternative approach for this probl...
Yuval Ishai, Eyal Kushilevitz, Rafail Ostrovsky
COCO
2007
Springer
94views Algorithms» more  COCO 2007»
14 years 6 months ago
Low-Depth Witnesses are Easy to Find
Antunes, Fortnow, van Melkebeek and Vinodchandran captured the notion of non-random information by computational depth, the difference between the polynomialtime-bounded Kolmogoro...
Luis Antunes 0002, Lance Fortnow, Alexandre Pinto,...
COCO
2007
Springer
126views Algorithms» more  COCO 2007»
14 years 6 months ago
On Derandomizing Probabilistic Sublinear-Time Algorithms
There exists a positive constant α < 1 such that for any function T(n) ≤ nα and for any problem L ∈ BPTIME(T(n)), there exists a deterministic algorithm running in poly(T...
Marius Zimand
COCO
2007
Springer
85views Algorithms» more  COCO 2007»
14 years 6 months ago
Norms, XOR Lemmas, and Lower Bounds for GF(2) Polynomials and Multiparty Protocols
This paper presents a unified and simple treatment of basic questions concerning two computational models: multiparty communication complexity and GF(2) polynomials. The key is t...
Emanuele Viola, Avi Wigderson
COCO
2007
Springer
92views Algorithms» more  COCO 2007»
14 years 6 months ago
Halfspace Matrices
A halfspace matrix is a Boolean matrix A with rows indexed by linear threshold functions f, columns indexed by inputs x ∈ {−1,1}n, and the entries given by Af,x = f(x). We dem...
Alexander A. Sherstov
COCO
2007
Springer
107views Algorithms» more  COCO 2007»
14 years 6 months ago
A Linear Round Lower Bound for Lovasz-Schrijver SDP Relaxations of Vertex Cover
We study semidefinite programming relaxations of Vertex Cover arising from repeated applications of the LS+ “lift-and-project” method of Lovasz and Schrijver starting from th...
Grant Schoenebeck, Luca Trevisan, Madhur Tulsiani
COCO
2007
Springer
106views Algorithms» more  COCO 2007»
14 years 6 months ago
The Complexity of Polynomials and Their Coefficient Functions
We study the link between the complexity of a polynomial and that of its coefficient functions. Valiant’s theory is a good setting for this, and we start by generalizing one of V...
Guillaume Malod