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Parallel Monte Carlo Integration Algorithm Based on GPU

机译:基于GPU的并行Monte Carlo集成算法

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Big data comes with the increasing maturity of computer network technology and its application popularity. How to process big data and mine its potential value is a hot issue today. Artificial intelligence is one of the main sources of algorithms for dealing with big data, while parallel computation is the only choice to improve computing performance. Monte Carlo method plays an important role in the application of artificial intelligence, such as computer game AlphaGo, and it requires a lot of random data to calculate, so we use it, in this paper, to explore the general method of parallel processing big data. According to Monte Carlo method, the calculation time of the algorithm will increase exponentially with the increase of the calculation accuracy. As the calculation accuracy will increase accordingly when the number of points increases. In order to improve the computing performance, a Monte Carlo parallel algorithm based on GPU-CUDA programming model is designed. The quality of the random number generator is the key factor affecting the accuracy of Monte Carlo calculation, so the higher quality Mersenne Twister random number algorithm is chosen. Taking $pi$ and e as examples, the experimental results show that the GPU-based Monte Carlo parallel algorithm is effective. This method improves both the calculation performance and the calculation accuracy.
机译:随着计算机网络技术的日趋成熟及其应用的普及,大数据也随之而来。如今,如何处理大数据并挖掘其潜在价值是一个热门问题。人工智能是处理大数据的算法的主要来源之一,而并行计算是提高计算性能的唯一选择。蒙特卡罗方法在人工智能的应用中起着重要作用,例如计算机游戏AlphaGo,它需要大量的随机数据来计算,因此在本文中,我们将使用它来探索并行处理大数据的通用方法。 。根据蒙特卡洛方法,随着计算精度的提高,该算法的计算时间将成倍增加。随着点数的增加,计算精度也会相应提高。为了提高计算性能,设计了基于GPU-CUDA编程模型的蒙特卡罗并行算法。随机数发生器的质量是影响蒙特卡洛计算精度的关键因素,因此选择了质量更高的梅森·特灵格随机数算法。以$ \ pi $和e为例,实验结果表明基于GPU的Monte Carlo并行算法是有效的。该方法提高了计算性能和计算精度。

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