深潜空间粒子过器用于实时数据同化与不确定性量化
Nikolaj T Mücke1,2, Sander M Bohté3,4, Cornelis W Oosterlee5
1Scientific Computing, Centrum Wiskunde & Informatica, 1098 XG, Amsterdam, The Netherlands. nikolaj.mucke@cwi.nl.
Scientific reports
|August 21, 2024
概括
一个新的深潜空间粒子过器 (D-LSPF) 使用神经网络来加快复杂系统的数据同化. 这种方法实现了更快,更准确的实时估计与不确定性量化.
科学领域:
- 计算科学 计算科学
- 数据同化数据同化
- 机器学习 机器学习
背景情况:
- 数据同化将观测与模拟相结合,用于准确的系统估计.
- 目前的方法在计算上昂贵,阻碍了复杂系统中的实时应用.
- 准确量化不确定性仍然是一个重大挑战.
研究的目的:
- 介绍了一种新的粒子过方法,即深潜空间粒子过器 (D-LSPF).
- 克服传统数据同化技术的计算局限性.
- 为复杂的物理系统实现实时数据同化与不确定性量化.
主要方法:
- 开发了使用基于神经网络的替代模型的深潜空间粒子过器 (D-LSPF).
- 使用的瓦斯斯坦自动编码器 (AE) 具有视觉变压器层,以减少维度.
- 利用变压器进行参数化隐藏空间时间步进.
主要成果:
- D-LSPF表现出显著的速度改进,运行速度比高保真颗粒过器快了数量级.
- 与替代方法相比,实现了3-5倍更快的性能.
- 在准确度上展示了多达一个数量级的改进.
- 成功应用于多相管道流和海底识别中的泄漏定位.
结论:
- D-LSPF有效地解决了数据同化计算成本.
- 允许实时数据同化与测试复杂系统的不确定性量化.
- 在将数据同化应用于现实世界问题方面取得了重大进展.
相关概念视频
Uncertainty: Overview
529
In analytical chemistry, we often perform repetitive measurements to detect and minimize inaccuracies caused by both determinate and indeterminate errors. Despite the cares we take, the presence of random errors means that repeated measurements almost never have exactly the same magnitude. The collective difference between these measurements - observed values - and the estimated or expected value is called uncertainty. Uncertainty is conventionally written after the estimated or expected value.
529
Propagation of Uncertainty from Systematic Error
490
The atomic mass of an element varies due to the relative ratio of its isotopes. A sample's relative proportion of oxygen isotopes influences its average atomic mass. For instance, if we were to measure the atomic mass of oxygen from a sample, the mass would be a weighted average of the isotopic masses of oxygen in that sample. Since a single sample is not likely to perfectly reflect the true atomic mass of oxygen for all the molecules of oxygen on Earth, the mass we obtain from this...
490
Uncertainty: Confidence Intervals
3.1K
The confidence interval is the range of values around the mean that contains the true mean. It is expressed as a probability percentage. The interpretation of a 95% confidence interval, for instance, is that the statistician is 95% confident that the true mean falls within the interval. The upper and lower limits of this range are known as confidence limits. The confidence limits for the true mean are estimated from the sample's mean, the standard deviation, and the statistical factor...
3.1K
Propagation of Uncertainty from Random Error
657
An experiment often consists of more than a single step. In this case, measurements at each step give rise to uncertainty. Because the measurements occur in successive steps, the uncertainty in one step necessarily contributes to that in the subsequent step. As we perform statistical analysis on these types of experiments, we must learn to account for the propagation of uncertainty from one step to the next. The propagation of uncertainty depends on the type of arithmetic operation performed on...
657
Maxwell-Boltzmann Distribution: Problem Solving
1.4K
Individual molecules in a gas move in random directions, but a gas containing numerous molecules has a predictable distribution of molecular speeds, which is known as the Maxwell-Boltzmann distribution, f(v).
This distribution function f(v) is defined by saying that the expected number N (v1,v2) of particles with speeds between v1 and v2 is given by
This distribution function f(v) is defined by saying that the expected number N (v1,v2) of particles with speeds between v1 and v2 is given by
1.4K
Linear Approximation in Frequency Domain
88
Linear systems are characterized by two main properties: superposition and homogeneity. Superposition allows the response to multiple inputs to be the sum of the responses to each individual input. Homogeneity ensures that scaling an input by a scalar results in the response being scaled by the same scalar.
In contrast, nonlinear systems do not inherently possess these properties. However, for small deviations around an operating point, a nonlinear system can often be approximated as linear....
In contrast, nonlinear systems do not inherently possess these properties. However, for small deviations around an operating point, a nonlinear system can often be approximated as linear....
88


