Smoothed analysis: analysis of algorithms beyond worst case


Manthey, Bodo and Röglin, Heiko (2011) Smoothed analysis: analysis of algorithms beyond worst case. it - Information Technology, 53 (6). pp. 280-286. ISSN 1611-2776

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Abstract:Many algorithms perform very well in practice, but have a poor worst-case performance. The reason for this discrepancy is that worst-case analysis is often a way too pessimistic measure for the performance of an algorithm. In order to provide a more realistic performance measure that can explain the practical performance of algorithms, smoothed analysis has been introduced. It is a hybrid of the classical worst-case analysis and average-case analysis, where the performance on inputs is measured that are subject to random noise. We give a gentle, not too formal introduction to smoothed analysis by means of two examples: the k-means method for clustering and the Nemhauser/Ullmann algorithm for the knapsack problem.
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Copyright:© 2011 Oldenbourg Verlag
Electrical Engineering, Mathematics and Computer Science (EEMCS)
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