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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Adaptive rejection sampling with fixed number of nodes

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Author(s):
Martino, L. [1] ; Louzada, F. [1]
Total Authors: 2
Affiliation:
[1] Univ Sao Paulo, Inst Math Sci & Comp, BR-05508070 Sao Paulo - Brazil
Total Affiliations: 1
Document type: Journal article
Source: COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION; v. 48, n. 3, p. 655-665, MAR 16 2019.
Web of Science Citations: 0
Abstract

The adaptive rejection sampling (ARS) algorithm is a universal random generator for drawing samples efficiently from a univariate log-concave target probability density function (pdf). ARS generates independent samples from the target via rejection sampling with high acceptance rates. Indeed, ARS yields a sequence of proposal functions that converge toward the target pdf, so that the probability of accepting a sample approaches one. However, sampling from the proposal pdf becomes more computational demanding each time it is updated. In this work, we propose a novel ARS scheme, called Cheap Adaptive Rejection Sampling (CARS), where the computational effort for drawing from the proposal remains constant, decided in advance by the user. For generating a large number of desired samples, CARS is faster than ARS. (AU)

FAPESP's process: 14/23160-6 - Efficient Monte Carlo sampling for high-volume spaces and large medical and industrial databases
Grantee:Luca Martino
Support Opportunities: Scholarships in Brazil - Post-Doctoral