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Journal ArticleDOI

Weighted Uniform Sampling — a Monte Carlo Technique for Reducing Variance

M. J. D. Powell, +1 more
- 01 Sep 1966 - 
- Vol. 2, Iss: 3, pp 228-236
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This article is published in Ima Journal of Applied Mathematics.The article was published on 1966-09-01. It has received 66 citations till now. The article focuses on the topics: Monte Carlo integration & Control variates.

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Proceedings ArticleDOI

The lumigraph

TL;DR: A new method for capturing the complete appearance of both synthetic and real world objects and scenes, representing this information, and then using this representation to render images of the object from new camera positions.
Proceedings Article

Data-efficient off-policy policy evaluation for reinforcement learning

TL;DR: A new way of predicting the performance of a reinforcement learning policy given historical data that may have been generated by a different policy, based on an extension of the doubly robust estimator and a new way to mix between model based estimates and importance sampling based estimates.
Journal ArticleDOI

Methods for Approximating Integrals in Statistics with Special Emphasis on Bayesian Integration Problems

TL;DR: A survey of the major techniques and approaches available for the numerical approximation of integrals in statistics can be found in this article, where the authors classify these into five broad categories; namely, asymptotic methods, im- portance sampling, adaptive importance sampling, multiple quadrature and Markov chain methods.
Journal ArticleDOI

Numerical Evaluation of Multiple Integrals

Seymour Haber
- 01 Oct 1970 - 
TL;DR: A survey of the main methods for numerical evaluation of multiple integrals can be found in this article, where the Monte Carlo method and its generalizations are discussed, as well as number-theoretical methods, based essentially on the ideas of Diophantine approximation and equidistribution modulo 1; functional analysis approach, in which the quadrature error is regarded as a linear functional and one attempts to minimize its norm.
Journal ArticleDOI

Smoothness and dimension reduction in Quasi-Monte Carlo methods

TL;DR: Modified Monte Carlo methods are developed, using smoothing and dimension reduction, so that the convergence rate of nearly O (N^-^1) is regained and the effective dimension of the integration domain is drastically reduced.
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