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COMPGEOM
2006
ACM
13 years 11 months ago
How slow is the k-means method?
The k-means method is an old but popular clustering algorithm known for its observed speed and its simplicity. Until recently, however, no meaningful theoretical bounds were known...
David Arthur, Sergei Vassilvitskii
SODA
2010
ACM
235views Algorithms» more  SODA 2010»
14 years 3 months ago
Algorithmic Lower Bounds for Problems Parameterized by Clique-width
Many NP-hard problems can be solved efficiently when the input is restricted to graphs of bounded tree-width or clique-width. In particular, by the celebrated result of Courcelle,...
Fedor V. Fomin, Petr A. Golovach, Daniel Lokshtano...
COMPGEOM
2009
ACM
13 years 10 months ago
k-means requires exponentially many iterations even in the plane
The k-means algorithm is a well-known method for partitioning n points that lie in the d-dimensional space into k clusters. Its main features are simplicity and speed in practice....
Andrea Vattani
ISAAC
2010
Springer
243views Algorithms» more  ISAAC 2010»
13 years 3 months ago
Lower Bounds for Howard's Algorithm for Finding Minimum Mean-Cost Cycles
Howard's policy iteration algorithm is one of the most widely used algorithms for finding optimal policies for controlling Markov Decision Processes (MDPs). When applied to we...
Thomas Dueholm Hansen, Uri Zwick
LICS
2009
IEEE
14 years 12 days ago
An Exponential Lower Bound for the Parity Game Strategy Improvement Algorithm as We Know it
This paper presents a new lower bound for the discrete strategy improvement algorithm for solving parity games due to V¨oge and Jurdzi´nski. First, we informally show which stru...
Oliver Friedmann