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FOCS
2008
IEEE
15 years 6 months ago
Hardness of Minimizing and Learning DNF Expressions
We study the problem of finding the minimum size DNF formula for a function f : {0, 1}d → {0, 1} given its truth table. We show that unless NP ⊆ DTIME(npoly(log n) ), there i...
Subhash Khot, Rishi Saket
SIGMOD
2004
ACM
126views Database» more  SIGMOD 2004»
15 years 12 months ago
Indexing Spatio-Temporal Trajectories with Chebyshev Polynomials
In this paper, we attempt to approximate and index a ddimensional (d 1) spatio-temporal trajectory with a low order continuous polynomial. There are many possible ways to choose ...
Yuhan Cai, Raymond T. Ng
SODA
2012
ACM
217views Algorithms» more  SODA 2012»
13 years 2 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...
COCO
2006
Springer
118views Algorithms» more  COCO 2006»
15 years 3 months ago
Learning Monotone Decision Trees in Polynomial Time
We give an algorithm that learns any monotone Boolean function f : {-1, 1}n {-1, 1} to any constant accuracy, under the uniform distribution, in time polynomial in n and in the de...
Ryan O'Donnell, Rocco A. Servedio
COLT
2005
Springer
15 years 5 months ago
General Polynomial Time Decomposition Algorithms
We present a general decomposition algorithm that is uniformly applicable to every (suitably normalized) instance of Convex Quadratic Optimization and efficiently approaches an o...
Nikolas List, Hans-Ulrich Simon