Jove
Visualize
联系我们
JoVE
x logofacebook logolinkedin logoyoutube logo
关于 JoVE
概览领导团队博客JoVE 帮助中心
作者
出版流程编辑委员会范围与政策同行评审常见问题投稿
图书馆员
用户评价订阅访问资源图书馆顾问委员会常见问题
研究
JoVE JournalMethods CollectionsJoVE Encyclopedia of Experiments存档
教育
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab Manual教师资源中心教师网站
使用条款与条件
隐私政策
政策

相关概念视频

Model Approaches for Pharmacokinetic Data: Distributed Parameter Models01:06

Model Approaches for Pharmacokinetic Data: Distributed Parameter Models

132
Pharmacokinetic models are mathematical constructs that represent and predict the time course of drug concentrations in the body, providing meaningful pharmacokinetic parameters. These models are categorized into compartment, physiological, and distributed parameter models.
The distributed parameter models are specifically designed to account for variations and differences in some drug classes. This model is particularly useful for assessing regional concentrations of anticancer or...
132
Multicompartment Models: Overview01:14

Multicompartment Models: Overview

261
Multicompartment models are mathematical constructs that depict how drugs are distributed and eliminated within the body. They segment the body into several compartments, symbolizing various physiological or anatomical areas connected through drug transfer processes such as absorption, metabolism, distribution, and elimination.
These models offer a more comprehensive representation of drug behavior in the body than one-compartment models. They accommodate the complexity of drug distribution,...
261
Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving01:29

Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving

103
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...
103
Poisson Probability Distribution01:09

Poisson Probability Distribution

8.5K
A Poisson probability distribution is a discrete probability distribution. It gives the probability of a number of events occurring in a fixed interval of time or space if these events happen at a known average rate and independently of the time since the last event. For example, a book editor might be interested in the number of words spelled incorrectly in a particular book. It might be that, on average, there are five words spelled incorrectly in 100 pages. The interval is 100 pages.
The...
8.5K
Mechanistic Models: Compartment Models in Individual and Population Analysis01:23

Mechanistic Models: Compartment Models in Individual and Population Analysis

89
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...
89
Distributions to Estimate Population Parameter01:26

Distributions to Estimate Population Parameter

4.3K
The accurate values of population parameters such as population proportion, population mean, and population standard deviation (or variance) are usually unknown. These are fixed values that can only be estimated from the data collected from the samples. The estimates of each of these parameters are sample proportion, the sample mean, and sample standard deviation (or variance). To obtain the values of these sample statistics, data are required that have particular distribution and central...
4.3K

您也可能阅读

相关文章

通过共同作者、期刊和引用图与本文相关的文章。

排序
Same author

Urban road dust as a dynamic reservoir for microplastics: Quantifying precipitation washout, recovery patterns, and traffic influence in Bahía Blanca, Argentina.

Chemosphere·2026
Same author

Generative modelling meets Bayesian inference: a new paradigm for inverse problems.

Philosophical transactions. Series A, Mathematical, physical, and engineering sciences·2025
Same author

A hybrid tau-leap for simulating chemical kinetics with applications to parameter estimation.

Royal Society open science·2024
Same author

Directed network Laplacians and random graph models.

Royal Society open science·2021
Same author

Stroke Onset Time Determination Using MRI Relaxation Times without Non-Ischaemic Reference in A Rat Stroke Model.

Biomedical spectroscopy and imaging·2017
Same author

Fast Unsupervised Bayesian Image Segmentation With Adaptive Spatial Regularisation.

IEEE transactions on image processing : a publication of the IEEE Signal Processing Society·2017
Same journal

Correction to: 'Stokes settling and particle-laden plumes: implications for deep-sea mining and volcanic eruption plumes' (2020), by Mingotti et al.

Philosophical transactions. Series A, Mathematical, physical, and engineering sciences·2026
Same journal

A stable hothouse triggered by a tipping mechanism.

Philosophical transactions. Series A, Mathematical, physical, and engineering sciences·2026
Same journal

Beyond distance: quantifying point cloud dynamics with persistent homology and dynamic optimal transport.

Philosophical transactions. Series A, Mathematical, physical, and engineering sciences·2026
Same journal

Global stability of the Atlantic overturning circulation: edge state, long transients and boundary crisis under CO2 forcing.

Philosophical transactions. Series A, Mathematical, physical, and engineering sciences·2026
Same journal

Morse index classification and landscape of Kuramoto system for Hebbian-based binary pattern recognition.

Philosophical transactions. Series A, Mathematical, physical, and engineering sciences·2026
Same journal

Interpretable and equation-free response theory for complex systems.

Philosophical transactions. Series A, Mathematical, physical, and engineering sciences·2026
查看所有相关文章

相关实验视频

Updated: Sep 19, 2025

Synthesis of Cyclic Polymers and Characterization of Their Diffusive Motion in the Melt State at the Single Molecule Level
06:55

Synthesis of Cyclic Polymers and Characterization of Their Diffusive Motion in the Melt State at the Single Molecule Level

Published on: September 26, 2016

8.0K

贝叶斯计算与生成扩散模型通过多级蒙特卡洛计算.

Luke Shaw1, Abdul-Lateef Haji-Ali2, Marcelo Pereyra2

  • 1Universitat Jaume I, Castello de la Plana, Spain.

Philosophical transactions. Series A, Mathematical, physical, and engineering sciences
|June 19, 2025
PubMed
概括
此摘要是机器生成的。

生成式扩散模型加速贝叶斯反向问题,但在计算上是昂贵的. 本研究介绍了一种多级蒙特卡洛策略,以显著降低贝叶斯计算中扩散模型采样的计算成本.

关键词:
多层次的蒙特卡洛城市扩散模型的扩散模型反向问题是反向的问题.

更多相关视频

Single-Molecule Tracking Microscopy - A Tool for Determining the Diffusive States of Cytosolic Molecules
10:20

Single-Molecule Tracking Microscopy - A Tool for Determining the Diffusive States of Cytosolic Molecules

Published on: September 5, 2019

8.3K
A Novel Bayesian Change-point Algorithm for Genome-wide Analysis of Diverse ChIPseq Data Types
12:39

A Novel Bayesian Change-point Algorithm for Genome-wide Analysis of Diverse ChIPseq Data Types

Published on: December 10, 2012

11.4K

相关实验视频

Last Updated: Sep 19, 2025

Synthesis of Cyclic Polymers and Characterization of Their Diffusive Motion in the Melt State at the Single Molecule Level
06:55

Synthesis of Cyclic Polymers and Characterization of Their Diffusive Motion in the Melt State at the Single Molecule Level

Published on: September 26, 2016

8.0K
Single-Molecule Tracking Microscopy - A Tool for Determining the Diffusive States of Cytosolic Molecules
10:20

Single-Molecule Tracking Microscopy - A Tool for Determining the Diffusive States of Cytosolic Molecules

Published on: September 5, 2019

8.3K
A Novel Bayesian Change-point Algorithm for Genome-wide Analysis of Diverse ChIPseq Data Types
12:39

A Novel Bayesian Change-point Algorithm for Genome-wide Analysis of Diverse ChIPseq Data Types

Published on: December 10, 2012

11.4K

科学领域:

  • 计算数学是指计算数学.
  • 机器学习 机器学习
  • 科学成像科学成像

背景情况:

  • 生成性扩散模型为贝叶斯反向问题提供了准确的解决方案.
  • 扩散模型需要大量的函数评估,这导致蒙特卡洛集成和不确定性定量化的高计算成本.
  • 像计算成像这样的大规模问题加剧了这些成本,原因是昂贵的神经网络评估.

研究的目的:

  • 提出一种新的多级蒙特卡罗 (MLMC) 策略,以减少使用扩散模型进行贝叶斯计算的计算成本.
  • 在反向问题中解决与扩散模型采样相关的高计算费用,特别是在定量成像中.

主要方法:

  • 开发了一个针对扩散模型量身定制的多级蒙特卡洛策略.
  • 在扩散模型中利用了固有的成本准确性权衡.
  • 配对不同准确度的扩散模型,以最大限度地降低整体计算成本.

主要成果:

  • 通过扩散模型实现了贝叶斯计算的计算成本的显著降低.
  • 在三个基准成像问题中,与标准技术相比,证明了[公式:参见文本]到[公式:参见文本]的成本降低.
  • 保持了最终准确性,同时大幅降低了计算需求.

结论:

  • 拟议的MLMC策略有效地减少了用于贝叶斯反向问题的扩散模型的计算负担.
  • 这种方法提供了一个计算效率高的解决方案,用于不确定性量化大规模应用程序,如计算成像.
  • 该方法使得扩散模型在苛刻的科学领域的应用更加可行.