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Analysis of Algorithms - Princeton University
Mathematical models for running time Total running time: sum of cost × frequency for all operations. ・Need to analyze program to determine set of operations. ・Cost depends on machine, compiler. ・Frequency depends on algorithm, input data. In principle, accurate mathematical models are available. Donald Knuth 1974 Turing Award
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Running time Cast of characters - Princeton University
algs4.cs.princeton.edu9 ScientiÞc method applied to analysis of algorithms A framework for predicting performance and comparing algorithms. Scientific method. ~ Observe some feature of the natural world. ~ Hypothesize a model that is consistent with the observations. ~ Predict events using the hypothesis. ~ Verify the predictions by making further observations. ~ Validate by repeating until the hypothesis and ...
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