Algorithms Beyond the Worst Case
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These notes describe some of the material of the course “Algorithms Beyond the Worst Case”, which is part of the Mastermath and DIAMANT programs. Last modified: May 25, 2016.
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Dagstuhl Seminar 14372 Analysis of Algorithms Beyond the Worst Case
This report documents the program and the outcomes of Dagstuhl Seminar 14372 “Analysis of Algorithms Beyond the Worst Case”. The theory of algorithms has traditionally focused on worst-case analysis. This focus has led to both a deep theory and many beautiful and useful algorithms. However, there are a number of important problems and algorithms for which worst-case analysis does not provide us...
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Traditionally, the theory of algorithms has focused on the analysis of worst-case instances. While this has led to a thorough understanding of a wide variety of problems, there are many problems for which worst-case analysis is not useful for empirical or real-world instances. A rapidly developing line of research, the so-called beyond worst-case analysis of algorithms, considers the design and...
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متن کاملSmoothed and Average-Case Approximation Ratios of Mechanisms: Beyond the Worst-Case Analysis
The approximation ratio has become one of the dominant measures in mechanism design problems. In light of analysis of algorithms, we define the smoothed approximation ratio to compare the performance of the optimal mechanism and a truthful mechanism when the inputs are subject to random perturbations of the worst-case inputs, and define the average-case approximation ratio to compare the perfor...
متن کاملSmoothed Analysis: Analysis of Algorithms Beyond Worst Case
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 th...
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تاریخ انتشار 2016