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

Entropy and the Second Law of Thermodynamics01:20

Entropy and the Second Law of Thermodynamics

2.9K
The second law of thermodynamics can be stated quantitatively using the concept of entropy. Entropy is the measure of disorder of the system.
The relation  between entropy and disorder can be illustrated with the example of the phase change of ice to water. In ice, the molecules are located at specific sites giving a solid state, whereas, in a liquid form, these molecules are much freer to move. The molecular arrangement has therefore become more randomized. Although the change in average...
2.9K
Geometric Mean01:15

Geometric Mean

3.4K
The mean is a measure of the central tendency of a data set. In some data sets, the data is inherently multiplicative, and the arithmetic mean is not useful. For example, the human population multiplies with time, and so does the credit amount of financial investment, as the interest compounds over successive time intervals.
In cases of multiplicative data, the geometric mean is used for statistical analysis. First, the product of all the elements is taken. Then, if there are n elements in the...
3.4K
Gauss's Law01:07

Gauss's Law

7.4K
If a closed surface does not have any charge inside where an electric field line can terminate, then the electric field line entering the surface at one point must necessarily exit at some other point of the surface. Therefore, if a closed surface does not have any charges inside the enclosed volume, then the electric flux through the surface is zero. What happens to the electric flux if there are some charges inside the enclosed volume? Gauss's law gives a quantitative answer to this question.
7.4K
Probability Distributions01:32

Probability Distributions

7.3K
 The probability of a random variable x  is the likelihood of its occurrence. A probability distribution represents the probabilities of a random variable using a formula, graph, or table. There are two types of probability distribution– discrete probability distribution and continuous probability distribution.
A discrete probability distribution is a probability distribution of discrete random variables. It can be categorized into binomial probability distribution and Poisson...
7.3K
Gauss's Law: Problem-Solving01:10

Gauss's Law: Problem-Solving

1.8K
Gauss's law helps determine electric fields even though the law is not directly about electric fields but electric flux. In situations with certain symmetries (spherical, cylindrical, or planar) in the charge distribution, the electric field can be deduced based on the knowledge of the electric flux. In these systems, we can find a Gaussian surface S over which the electric field has a constant magnitude. Furthermore, suppose the electric field is parallel (or antiparallel) to the area...
1.8K
Binomial Probability Distribution01:15

Binomial Probability Distribution

11.1K
A binomial distribution is a probability distribution for a procedure with a fixed number of trials, where each trial can have only two outcomes.
The outcomes of a binomial experiment fit a binomial probability distribution. A statistical experiment can be classified as a binomial experiment if the following conditions are met:
There are a fixed number of trials. Think of trials as repetitions of an experiment. The letter n denotes the number of trials.
There are only two possible outcomes,...
11.1K

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

Enhanced GNSS Navigation Using a Centered Error Entropy Extended Kalman Filter in Non-Gaussian Noise Environments.

Sensors (Basel, Switzerland)·2026
Same author

Effects of Extrinsic Magnetized GaAs in One-Dimensional Ternary Photonic Crystals.

Materials (Basel, Switzerland)·2025
Same author

One-Dimensional Four-Layered Photonic Heterostructures: Analysis of Transmittance.

Materials (Basel, Switzerland)·2025
Same author

Dynamic Modeling and Its Impact on Estimation Accuracy for GPS Navigation Filters.

Sensors (Basel, Switzerland)·2025
Same author

Towards Explainable Artificial Intelligence for GNSS Multipath LSTM Training Models.

Sensors (Basel, Switzerland)·2025
Same author

A Cumulant-Based Method for Acquiring GNSS Signals.

Sensors (Basel, Switzerland)·2024

相关实验视频

Updated: Jul 18, 2025

Quantification of Information Encoded by Gene Expression Levels During Lifespan Modulation Under Broad-range Dietary Restriction in C. elegans
09:23

Quantification of Information Encoded by Gene Expression Levels During Lifespan Modulation Under Broad-range Dietary Restriction in C. elegans

Published on: August 16, 2017

8.1K

对多变量高斯分布及其和相互信息的几何洞察

Dah-Jing Jwo1, Ta-Shun Cho2, Amita Biswal1

  • 1Department of Communications, Navigation and Control Engineering, National Taiwan Ocean University, 2 Peining Rd., Keelung 202301, Taiwan.

Entropy (Basel, Switzerland)
|August 26, 2023
PubMed
概括

这项研究使用几何洞察力可视化了多变量高斯分布,和相互信息. 它展示了信息理论,相对和共变性分析如何揭示编码,信号检测和疾病诊断中的应用结构.

关键词:
相关的随机变量是相关的随机变量.进入的过程中,多变量高斯主义者这是相互信息的互惠.相对的相对.视觉化的可视化

更多相关视频

Applications of EEG Neuroimaging Data: Event-related Potentials, Spectral Power, and Multiscale Entropy
11:15

Applications of EEG Neuroimaging Data: Event-related Potentials, Spectral Power, and Multiscale Entropy

Published on: June 27, 2013

33.8K
A Psychophysics Paradigm for the Collection and Analysis of Similarity Judgments
08:12

A Psychophysics Paradigm for the Collection and Analysis of Similarity Judgments

Published on: March 1, 2022

2.6K

相关实验视频

Last Updated: Jul 18, 2025

Quantification of Information Encoded by Gene Expression Levels During Lifespan Modulation Under Broad-range Dietary Restriction in C. elegans
09:23

Quantification of Information Encoded by Gene Expression Levels During Lifespan Modulation Under Broad-range Dietary Restriction in C. elegans

Published on: August 16, 2017

8.1K
Applications of EEG Neuroimaging Data: Event-related Potentials, Spectral Power, and Multiscale Entropy
11:15

Applications of EEG Neuroimaging Data: Event-related Potentials, Spectral Power, and Multiscale Entropy

Published on: June 27, 2013

33.8K
A Psychophysics Paradigm for the Collection and Analysis of Similarity Judgments
08:12

A Psychophysics Paradigm for the Collection and Analysis of Similarity Judgments

Published on: March 1, 2022

2.6K

科学领域:

  • 统计 统计 统计 统计
  • 信息理论 信息理论
  • 应用数学 应用数学 应用数学

背景情况:

  • 多变量高斯分布是统计学和机器学习的基础.
  • 和相互信息量化不确定性和依赖关系.
  • 了解这些概念对于分析复杂数据至关重要.

研究的目的:

  • 提供多变量高斯分布,和相互信息的几何见解和可视化.
  • 介绍技术和统计方面开发这些概念的方法.
  • 探索信息编码,信号检测和临床诊断中的应用.

主要方法:

  • 几何洞察力和可视化技术.
  • 信息理论原则,包括相对.
  • 协差矩阵分析和相关的随机变量评估.
  • 模拟圆的解释,用于现实世界的应用.

主要成果:

  • 证明了高斯分布结构可以通过信息理论 (相对) 描述共变矩阵和随机变量之间.
  • 视觉化提供了对概念和技术的增强感知.
  • 模拟结果说明了圆解释的实际应用.

结论:

  • 该研究通过几何和信息视角增强了对多变量高斯分布,和相互信息的理解.
  • 研究结果支持从信息编码到用于多种疾病检测的临床诊断的应用.
  • 提出的方法促进了未来的研究和相关科学领域的软件实施.