A novel and efficient quasi-Monte Carlo method for computing the area of a point-sampled surface with associated surface normal for each point is presented. Our method operates directly on the point cloud without any surface reconstruction procedure. Using the Cauchy-Crofton formula, the area of the
Parallel computing of a quasi-Monte Carlo algorithm for valuing derivatives
โ Scribed by Jenny X. Li; Gary L. Mullen
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 172 KB
- Volume
- 26
- Category
- Article
- ISSN
- 0167-8191
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โฆ Synopsis
The performance of the standard Monte Carlo method is compared with the performance obtained through the use of tY mY s-nets in base b in the approximation of several high dimensional integral problems in valuing derivatives and other securities. The tY mY s-nets are generated by a parallel algorithm, where particular considerations are given to scalability of dynamic adaptive routing and load balancing in the design and implementation of the algorithm. From the numerical evidence it appears that such nets can be powerful tools for valuing such securities.
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mura, Niiharigun, Ibarakiken 305, Japan