منابع مشابه
CS 264 : Beyond Worst - Case Analysis
This lectures touches on results of Afshani, Barbay, and Chan [1], who give a number of interesting instance-optimality results for fundamental problems in computational geometry, namely the problems of computing the maximal points or the convex hull of a point set in two or three dimensions. These are perhaps the most compelling examples to date of instanceoptimal algorithms when the cost meas...
متن کاملBeyond Worst-Case Analysis in Combinatorial Optimization
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...
متن کاملCS 264 : Beyond Worst - Case Analysis Lecture
The last few lectures discussed several interpolations between worst-case and average-case analysis designed to identify robust algorithms in the face of strong impossibility results for worst-case guarantees. This lecture gives another analysis framework that blends aspects of worstand average-case analysis. In today’s model of self-improving algorithms, an adversary picks an input distributio...
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...
متن کاملAlgorithms Beyond the Worst Case
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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ژورنال
عنوان ژورنال: Communications of the ACM
سال: 2019
ISSN: 0001-0782,1557-7317
DOI: 10.1145/3232535