首页> 外文期刊>Statistical Analysis and Data Mining >Parameter inference with deep jointly informed neural networks
【24h】

Parameter inference with deep jointly informed neural networks

机译:参数推论与深度联合通知的神经网络

获取原文
       

摘要

A common challenge in modeling inertial confinement fusion (ICF) experiments with computer simulations is that many of the simulation inputs are unknown and cannot be directly measured. Often, parameters that are measured in the experiment are used to infer the unknown inputs by solving the inverse problem: finding the set of simulation inputs that result in outputs consistent with the experimental observations. In ICF, this process is often referred to as a “post‐shot analysis.” Post‐shot analyses are challenging as the inverse problem is often highly degenerate, the input parameter space is vast, and simulations are computationally expensive. In this work, deep neural network models equipped with model uncertainty estimates are used to train inverse models, which map directly from output to input space, to find the distribution of post‐shot simulations that are consistent with experimental observations. The inverse model approach is compared to Markov chain Monte Carlo (MCMC) sampling of the forward model, which maps from input to output space, for parameter inference tasks of varying complexity. The inverse models perform best when searching vast parameter spaces for post‐shot simulations that are consistent with a large number of observables, where MCMC sampling can be prohibitively expensive. We demonstrate how augmenting inverse models with autoencoders enable the inclusion of several dozen observables in the inverse mapping, reducing the degeneracy of the model and improving the accuracy of the post‐shot analysis.
机译:在计算机模拟中建模惯性监禁融合(ICF)实验中的共同挑战是许多模拟输入是未知的并且无法直接测量。通常,在实验中测量的参数用于通过解决逆问题来推断未知输入:找到导致与实验观察结果一致的输出的一组模拟输入。在ICF中,该过程通常被称为“拍摄后分析”。后拍摄分析是挑战,因为逆问题往往是高度堕落的,输入参数空间很大,并且模拟是计算昂贵的。在这项工作中,配备了模型不确定性估计的深神经网络模型用于训练逆模型,将其直接从输出映射到输入空间,找到与实验观察一致的拍摄后模拟的分布。将逆模型方法与马尔可夫链蒙特卡罗(MCMC)采样进行比较,其向前模型映射到输出空间,用于不同复杂性的参数推理任务。逆模型在搜索与大量可观察到一致的拍摄后模拟中搜索庞大的参数空间时最佳,其中MCMC采样可能会非常昂贵。我们展示了如何使用自动化器的增强逆模型能够在逆映射中包含几十个可观察,从而降低模型的退化性并提高拍摄后分析的准确性。

著录项

获取原文

客服邮箱:kefu@zhangqiaokeyan.com

京公网安备:11010802029741号 ICP备案号:京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有
  • 客服微信

  • 服务号