Pseudorandomness and Cryptographic Applications
Pseudorandomness and Cryptographic Applications
Monte-Carlo Integration Using Cryptographically Secure Pseudo-random Generator
NMA '02 Revised Papers from the 5th International Conference on Numerical Methods and Applications
Dynamic random Weyl sampling for drastic reduction of randomness in Monte Carlo integration
Mathematics and Computers in Simulation - Special issue: 3rd IMACS seminar on Monte Carlo methods - MCM 2001
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A numerical integration method by means of random samples is called robust, if the variance of its error is as small as that of the i.i.d.-sampling for any integrand. To reduce the randomness of robust numerical integration, we use pairwise random samples instead of i.i.d, samples. Among others, we recommend the discrete random Weyl sampling for the quick generation of pairwise independent samples.