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相关概念视频

Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving01:29

Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving

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Mechanistic models play a crucial role in algorithms for numerical problem-solving, particularly in nonlinear mixed effects modeling (NMEM). These models aim to minimize specific objective functions by evaluating various parameter estimates, leading to the development of systematic algorithms. In some cases, linearization techniques approximate the model using linear equations.
In individual population analyses, different algorithms are employed, such as Cauchy's method, which uses a...
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Mechanistic Models: Compartment Models in Individual and Population Analysis01:23

Mechanistic Models: Compartment Models in Individual and Population Analysis

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Mechanistic models are utilized in individual analysis using single-source data, but imperfections arise due to data collection errors, preventing perfect prediction of observed data. The mathematical equation involves known values (Xi), observed concentrations (Ci), measurement errors (εi), model parameters (ϕj), and the related function (ƒi) for i number of values. Different least-squares metrics quantify differences between predicted and observed values. The ordinary least...
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用局部高斯过程替代模型进行分子模拟的加速贝叶斯推理.

Brennon L Shanks1, Harry W Sullivan1, Abdur R Shazed1

  • 1Department of Chemical Engineering, University of Utah, Salt Lake City, UT 84112-9202, United States.

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局部高斯过程 (LGPs) 为复杂的物理化学模拟加速贝叶斯推理. 这种方法显著加快了大数据集的不确定性量化,超过了传统方法.

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科学领域:

  • 物理化学 物理化学
  • 计算化学计算化学
  • 统计建模 统计建模

背景情况:

  • 贝叶斯推理对于不确定性量化至关重要,但计算密集.
  • 模拟复杂的物理化学数据,如光谱和散射模式,加剧了计算挑战.
  • 现有的方法在高维数据集方面存在困难.

研究的目的:

  • 引入局部高斯过程 (LGP) 替代模型,以加速贝叶斯推理.
  • 在物理化学模拟中克服计算障碍.
  • 为了使复杂的热物理性质能够有效量化不确定性.

主要方法:

  • 采用了本地高斯过程 (LGP) 替代模型.
  • 开发了一种关于独立变量的线性时间复杂性的方法.
  • 在液体虹的辐射分布函数上训练了一名LGP.

主要成果:

  • 与分子动力学模拟相比,实现了176万倍的加速.
  • 超过了传统的高斯过程的性能,大小为三级.
  • 用独立变量证明了LGP时间复杂性的线性缩放.

结论:

  • 对于贝叶斯推理来说,LGP是强大的,高效的替代模型.
  • 在分子模拟中,LGP显著降低了计算成本.
  • 这种方法将贝叶斯推理应用扩展到物理化学中的各种实验数据.