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» Tetris is Hard, Even to Approximate
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FOCS
2007
IEEE
14 years 1 months ago
Hardness of Reconstructing Multivariate Polynomials over Finite Fields
We study the polynomial reconstruction problem for low-degree multivariate polynomials over finite field F[2]. In this problem, we are given a set of points x ∈ {0, 1}n and ta...
Parikshit Gopalan, Subhash Khot, Rishi Saket
SODA
2012
ACM
217views Algorithms» more  SODA 2012»
11 years 9 months ago
Polynomial integrality gaps for strong SDP relaxations of Densest k-subgraph
The Densest k-subgraph problem (i.e. find a size k subgraph with maximum number of edges), is one of the notorious problems in approximation algorithms. There is a significant g...
Aditya Bhaskara, Moses Charikar, Aravindan Vijayar...
STOC
2007
ACM
134views Algorithms» more  STOC 2007»
14 years 7 months ago
Hardness of routing with congestion in directed graphs
Given as input a directed graph on N vertices and a set of source-destination pairs, we study the problem of routing the maximum possible number of source-destination pairs on pat...
Julia Chuzhoy, Venkatesan Guruswami, Sanjeev Khann...
ECCC
2010
124views more  ECCC 2010»
13 years 7 months ago
Lower Bounds and Hardness Amplification for Learning Shallow Monotone Formulas
Much work has been done on learning various classes of "simple" monotone functions under the uniform distribution. In this paper we give the first unconditional lower bo...
Vitaly Feldman, Homin K. Lee, Rocco A. Servedio
IPL
2008
95views more  IPL 2008»
13 years 7 months ago
Approximating maximum satisfiable subsystems of linear equations of bounded width
We consider the problem known as MAX-SATISFY: given a system of m linear equations over the rationals, find a maximum set of equations that can be satisfied. Let r be the width of...
Zeev Nutov, Daniel Reichman