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On the Fractal Dimension of Computer Programs and its Application to the Prediction of the Cache Miss Ratio
July 1989 (vol. 38 no. 7)
pp. 1012-1026
Fractal geometry is proposed as a powerful measure of program behavior, and its application to the prediction of the miss ratio of programs in fully associative caches is presented. Programs are modeled as one-dimensional fractal random-walks. The fractal cache model is based on the parameterization of a program trace by a small number of constants, one of which is the fractal dimension of the

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Index Terms:
cache miss ratio prediction; fractal geometry; fractal dimension; computer programs; one-dimensional fractal random-walks; parameterization; trace-driven simulations; buffer storage; computational complexity; programming theory.
Citation:
D. Thiebaut, "On the Fractal Dimension of Computer Programs and its Application to the Prediction of the Cache Miss Ratio," IEEE Transactions on Computers, vol. 38, no. 7, pp. 1012-1026, July 1989, doi:10.1109/12.30852
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