Beyond the Worst-Case Analysis of Algorithms (Introduction)

• URL: http://arxiv.org/abs/2007.13241v1
• Date: Sun, 26 Jul 2020 23:18:19 GMT
• Title: Beyond the Worst-Case Analysis of Algorithms (Introduction)
• Authors: Tim Roughgarden
• Abstract summary: Worst-case analysis summarizes the performance profile of an algorithm by its worst performance on any input of a given size. This chapter surveys several alternatives to worst-case analysis that are discussed in detail later in the book.
• Score: 13.965228845332865
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: One of the primary goals of the mathematical analysis of algorithms is to provide guidance about which algorithm is the "best" for solving a given computational problem. Worst-case analysis summarizes the performance profile of an algorithm by its worst performance on any input of a given size, implicitly advocating for the algorithm with the best-possible worst-case performance. Strong worst-case guarantees are the holy grail of algorithm design, providing an application-agnostic certification of an algorithm's robustly good performance. However, for many fundamental problems and performance measures, such guarantees are impossible and a more nuanced analysis approach is called for. This chapter surveys several alternatives to worst-case analysis that are discussed in detail later in the book.

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