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相关概念视频

Temperature Dependent Deformation01:12

Temperature Dependent Deformation

143
In a nonhomogeneous rod made up of steel and brass, restrained at both ends and subjected to a temperature change, several steps are involved in calculating the stress and compressive load. Due to the problem's static indeterminacy, one end support is disconnected, allowing the rod to experience the temperature change freely. Next, an unknown force is applied at the free end, triggering deformations in the rod's steel and brass portions. These deformations are then calculated and added...
143
Model Approaches for Pharmacokinetic Data: Distributed Parameter Models01:06

Model Approaches for Pharmacokinetic Data: Distributed Parameter Models

64
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...
64
Deformation of Member under Multiple Loadings01:11

Deformation of Member under Multiple Loadings

159
When a rod is made of different materials or has various cross-sections, it must be divided into parts that meet the necessary conditions for determining the deformation. These parts are each characterized by their internal force, cross-sectional area, length, and modulus of elasticity. These parameters are then used to compute the deformation of the entire rod.
In the case of a member with a variable cross-section, the strain is not constant but depends on the position. The deformation of an...
159
Curvilinear Motion: Rectangular Components01:23

Curvilinear Motion: Rectangular Components

429
Curvilinear motion characterizes the movement of a particle or object along a curved path, notably evident when envisioning a car navigating a winding road. If the car starts at point A, its position vector is established within a fixed frame of reference, where the ratio of the position vector to its magnitude signifies the unit vector pointing in the position vector's direction.
As the car advances, its position evolves over time. Quantifying the car's velocity involves computing the...
429
Linear Approximation in Time Domain01:21

Linear Approximation in Time Domain

72
Nonlinear systems often require sophisticated approaches for accurate modeling and analysis, with state-space representation being particularly effective. This method is especially useful for systems where variables and parameters vary with time or operating conditions, such as in a simple pendulum or a translational mechanical system with nonlinear springs.
For a simple pendulum with a mass evenly distributed along its length and the center of mass located at half the pendulum's length,...
72
Deformations in a Symmetric Member in Bending01:18

Deformations in a Symmetric Member in Bending

164
When analyzing the deformation of a symmetric prismatic member subjected to bending by equal and opposite couples, it becomes clear that as the member bends, the originally straight lines on its wider faces curve into circular arcs, with a constant radius centered at a point known as Point C. This phenomenon helps to understand the stress and strain distribution within the member more clearly.
When the member is segmented into tiny cubic elements, it is observed that the primary stress...
164

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相关实验视频

Updated: Jun 14, 2025

Identification of Disease-related Spatial Covariance Patterns using Neuroimaging Data
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Identification of Disease-related Spatial Covariance Patterns using Neuroimaging Data

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贝叶斯模型用于通过空间变形的非静止空间点过程.

Dani Gamerman1, Marcel de Souza Borges Quintana1,2, Mariane Branco Alves1

  • 1DME-Instituto de Matemática, Universidade Federal do Rio de Janeiro, Rio de Janeiro 21941-909, RJ, Brazil.

Entropy (Basel, Switzerland)
|August 29, 2024
PubMed
概括
此摘要是机器生成的。

本研究介绍了一种新的空间考克斯过程模型,使用数据驱动的空间变形来捕获非静止模式. 改进的方法改善了复杂的空间现象的建模,在合成和现实世界害虫传播数据中表现优于替代品.

关键词:
贝叶斯的推理 贝叶斯的推理考克斯过程 考克斯过程斯过程是高斯过程.在HMC中,HMC是指HMC.美国MCMCMCMCMCMCMCMC过程中的点点过程.空间变形的空间变形

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Trajectory Data Analyses for Pedestrian Space-time Activity Study

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Detection of Architectural Distortion in Prior Mammograms via Analysis of Oriented Patterns

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相关实验视频

Last Updated: Jun 14, 2025

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Identification of Disease-related Spatial Covariance Patterns using Neuroimaging Data

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Trajectory Data Analyses for Pedestrian Space-time Activity Study

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科学领域:

  • 空间统计的空间统计.
  • 地质统计学 在地质统计学
  • 计算统计学 计算统计学

背景情况:

  • 传统的地理统计方法通常假定静止空间共变性.
  • 越来越需要灵活的模型来解释空间点过程应用中的非静态性.
  • 现有的空间变化过程技术可能是计算密集型或缺乏数据驱动的适应性.

研究的目的:

  • 通过将数据驱动的空间变形纳入模型非静止度来扩展空间Cox过程.
  • 使用哈密尔顿蒙特卡洛 (HMC) 方法开发一个高效的贝叶斯推理框架.
  • 通过使用合成和现实世界的数据,与其他配方对拟议的异型非静止模型进行评估.

主要方法:

  • 一个多变量潜伏的高斯过程被用来驱动空间变形.
  • 马尔科夫链蒙特卡洛 (MCMC) 方法,特别是哈密尔顿式蒙特卡洛 (HMC),用于贝叶斯推理.
  • 建议的空间变形模型与使用模拟研究和案例研究的异型配方进行了比较.

主要成果:

  • 拟议的空间变形方法有效地捕捉了非静止的空间共变性结构.
  • 汉密尔顿蒙特卡洛 (HMC) 与大都会-哈斯廷斯相比,大大提高了贝叶斯更新方案的计算效率.
  • 用合成数据和真实世界害虫传播数据进行的研究表明,拟议的非静止性异型变态模型的优越性.

结论:

  • 拟议的空间变形方法为建模非静止空间点过程提供了一个强大而灵活的工具.
  • 数据驱动的变形和高效的HMC推理的整合提高了复杂空间模型的适用性.
  • 该方法比传统和替代的异性质模型具有显著的优势,特别是在生态和农业应用中.