昂贵随机模型的快速贝叶斯推断

Rapid Bayesian Inference for Expensive Stochastic Models

Journal of Computational and Graphical Statistics · 2021
被引 19
ABS 3

中文导读

提出新的计算贝叶斯技术,利用廉价近似模型指导参数空间搜索并校正偏差,在生态学和细胞生物学实例中实现一个数量级的速度提升且不损失精度。

Abstract

Almost all fields of science rely upon statistical inference to estimate unknown parameters in theoretical and computational models. While the performance of modern computer hardware continues to grow, the computational requirements for the simulation of models are growing even faster. This is largely due to the increase in model complexity, often including stochastic dynamics, that is necessary to describe and characterize phenomena observed using modern, high resolution, experimental techniques. Such models are rarely analytically tractable, meaning that extremely large numbers of stochastic simulations are required for parameter inference. In such cases, parameter inference can be practically impossible. In this work, we present new computational Bayesian techniques that accelerate inference for expensive stochastic models by using computationally inexpensive approximations to inform feasible regions in parameter space, and through learning transforms that adjust the biased approximate inferences to closer represent the correct inferences under the expensive stochastic model. Using topical examples from ecology and cell biology, we demonstrate a speed improvement of an order of magnitude without any loss in accuracy. This represents a substantial improvement over current state-of-the-art methods for Bayesian computations when appropriate model approximations are available. Supplementary files for this article are available online.

贝叶斯推断随机模型计算统计近似贝叶斯计算