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CCCG
2007
13 years 10 months ago
Optimal Schedules for 2-guard Room Search
We consider the problem of searching a polygonal room with two guards starting at a specified door point. While maintaining mutual visibility and without crossing the door, the g...
Stephen Bahun, Anna Lubiw
CORR
2010
Springer
114views Education» more  CORR 2010»
13 years 8 months ago
Settling the Polynomial Learnability of Mixtures of Gaussians
Given data drawn from a mixture of multivariate Gaussians, a basic problem is to accurately estimate the mixture parameters. We give an algorithm for this problem that has running ...
Ankur Moitra, Gregory Valiant
FOCS
2008
IEEE
14 years 2 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
CPM
2000
Springer
160views Combinatorics» more  CPM 2000»
14 years 23 days ago
Approximation Algorithms for Hamming Clustering Problems
We study Hamming versions of two classical clustering problems. The Hamming radius p-clustering problem (HRC) for a set S of k binary strings, each of length n, is to find p bina...
Leszek Gasieniec, Jesper Jansson, Andrzej Lingas
IPCO
1998
99views Optimization» more  IPCO 1998»
13 years 9 months ago
Non-approximability Results for Scheduling Problems with Minsum Criteria
We provide several non-approximability results for deterministic scheduling problems whose objective is to minimize the total job completion time. Unless P = NP, none of the probl...
Han Hoogeveen, Petra Schuurman, Gerhard J. Woeging...