6533b7ddfe1ef96bd1275260

RESEARCH PRODUCT

Parsimonious adaptive rejection sampling

Luca Martino

subject

FOS: Computer and information sciencesSignal processingSequenceComputer science020208 electrical & electronic engineeringMonte Carlo methodRejection samplingUnivariateSampling (statistics)020206 networking & telecommunicationsSample (statistics)02 engineering and technologyStatistics - ComputationAdaptive filter0202 electrical engineering electronic engineering information engineeringElectrical and Electronic EngineeringAlgorithmComputation (stat.CO)

description

Monte Carlo (MC) methods have become very popular in signal processing during the past decades. The adaptive rejection sampling (ARS) algorithms are well-known MC technique which draw efficiently independent samples from univariate target densities. The ARS schemes yield a sequence of proposal functions that converge toward the target, so that the probability of accepting a sample approaches one. However, sampling from the proposal pdf becomes more computationally demanding each time it is updated. We propose the Parsimonious Adaptive Rejection Sampling (PARS) method, where an efficient trade-off between acceptance rate and proposal complexity is obtained. Thus, the resulting algorithm is faster than the standard ARS approach.

10.1049/el.2017.1711http://dx.doi.org/10.1049/el.2017.1711