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SODA
1997
ACM
114views Algorithms» more  SODA 1997»
15 years 6 months ago
Better Approximation Guarantees for Job-shop Scheduling
Job-shop scheduling is a classical NP-hard problem. Shmoys, Stein, and Wein presented the first polynomial-time approximation algorithm for this problem that has a good (polylogar...
Leslie Ann Goldberg, Mike Paterson, Aravind Sriniv...
COCO
2004
Springer
147views Algorithms» more  COCO 2004»
15 years 8 months ago
The Complexity of the Covering Radius Problem on Lattices and Codes
We initiate the study of the computational complexity of the covering radius problem for point lattices, and approximation versions of the problem for both lattices and linear cod...
Venkatesan Guruswami, Daniele Micciancio, Oded Reg...
184
Voted
ESA
2003
Springer
189views Algorithms» more  ESA 2003»
15 years 9 months ago
On the Complexity of Approximating TSP with Neighborhoods and Related Problems
We prove that various geometric covering problems, related to the Travelling Salesman Problem cannot be efficiently approximated to within any constant factor unless P = NP. This ...
Shmuel Safra, Oded Schwartz
ECCC
2011
190views ECommerce» more  ECCC 2011»
14 years 8 months ago
Optimal heuristic algorithms for the image of an injective function
The existence of optimal algorithms is not known for any decision problem in NP \ P. We consider the problem of testing the membership in the image of an injective function. We co...
Edward A. Hirsch, Dmitry Itsykson, Valeria Nikolae...
149
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FOCM
2007
76views more  FOCM 2007»
15 years 4 months ago
Risk Bounds for Random Regression Graphs
We consider the regression problem and describe an algorithm approximating the regression function by estimators piecewise constant on the elements of an adaptive partition. The pa...
Andrea Caponnetto, Steve Smale