用拉索进行网络推断
Lourens Waldorp1, Jonas Haslbeck1
1Psychological Methods, University of Amsterdam, Amsterdam, the Netherlands.
Multivariate behavioral research
|April 8, 2024
概括
量化网络边缘的不确定性至关重要. 这项研究发现,包括其启动版本在内的脱散式拉索方法是选择网络边缘和计算置信区间和p值的最佳选择.
科学领域:
- 网络分析 网络分析
- 统计推断的统计推断.
- 机器学习 机器学习
背景情况:
- 计算网络边缘的置信区间和p值可以量化不确定性.
- 拉索估计,通常用于网络边缘选择,由于其在零点的不连续分布,在获得准确的p值和置信区间方面存在挑战.
- 基于lasso的网络边缘识别假设可能并不总是与现有数据保持一致.
研究的目的:
- 审查和比较计算网络边缘的置信区间和p值的方法.
- 评估修改后的拉索方法 (分散/偏差拉索) 和非拉索的p值确定方法.
- 确定网络边缘选择和不确定性量化最佳方法.
主要方法:
- 对三种方法的回顾:无离散的拉索,无离散的拉索,以及使用拉索进行选择的混合方法,然后进行非拉索的p值计算.
- 模拟研究将这些方法与流行的高斯图形模型估计技术进行比较.
- 对信任区间和p值准确度的评估,以确定网络边缘存在/不存在.
主要成果:
- 在模拟中,消散的拉索及其启动版本在模拟中表现出了卓越的性能.
- 这些方法有效地解决了不确定性量化标准拉索估计的局限性.
- 与已建立的高斯图形模型方法进行比较,突出了审查的技术的优势.
结论:
- 对于网络边缘选择和不确定性量化,推使用脱离散散的拉索及其启动变体.
- 这些方法提供可靠的置信区间和p值,改进了标准的拉索技术.
- 这些发现支持使用无离散的拉索来进行强大的网络推理.
相关概念视频
01:18Reducing Line Loss
151
In a three-phase circuit, line loss is an indicator of energy dissipated as heat due to the resistance of transmission lines. To address this, incorporating transformers into the system—a step-up transformer at the source and a step-down transformer at the load—is a strategic solution. Two three-phase transformers are introduced to improve this.
With a step-up transformer at the source, the voltage is increased, thereby reducing the current in the transmission lines since power loss...
With a step-up transformer at the source, the voltage is increased, thereby reducing the current in the transmission lines since power loss...
151
01:10Vector Algebra: Graphical Method
12.1K
Vectors can be multiplied by scalars, added to other vectors, or subtracted from other vectors. The vector sum of two (or more) vectors is called the resultant vector or, for short, the resultant.
We use the laws of geometry to construct resultant vectors, followed by trigonometry to find vector magnitudes and directions. For a geometric construction of the sum of two vectors in a plane, we follow the parallelogram rule. Suppose two vectors are at arbitrary positions. Translate either one of...
We use the laws of geometry to construct resultant vectors, followed by trigonometry to find vector magnitudes and directions. For a geometric construction of the sum of two vectors in a plane, we follow the parallelogram rule. Suppose two vectors are at arbitrary positions. Translate either one of...
12.1K
01:20Cluster Sampling Method
11.9K
Appropriate sampling methods ensure that samples are drawn without bias and accurately represent the population. Because measuring the entire population in a study is not practical, researchers use samples to represent the population of interest.
To choose a cluster sample, divide the population into clusters (groups) and then randomly select some of the clusters. All the members from these clusters are in the cluster sample. For example, if you randomly sample four departments from your...
To choose a cluster sample, divide the population into clusters (groups) and then randomly select some of the clusters. All the members from these clusters are in the cluster sample. For example, if you randomly sample four departments from your...
11.9K
01:20Region of Convergence of Laplace Tarnsform
540
The Region of Convergence (ROC) is a fundamental concept in signal processing and system analysis, particularly associated with the Laplace transform. The ROC represents an area in the complex plane where the Laplace transform of a given signal converges, determining the transform's applicability and utility.
Consider a decaying exponential signal that begins at a specific time. When deriving its Laplace transform, the time-domain variable is replaced with a complex variable. This...
Consider a decaying exponential signal that begins at a specific time. When deriving its Laplace transform, the time-domain variable is replaced with a complex variable. This...
540
01:20Calibration Curves: Linear Least Squares
1.3K
A calibration curve is a plot of the instrument's response against a series of known concentrations of a substance. This curve is used to set the instrument response levels, using the substance and its concentrations as standards. Alternatively, or additionally, an equation is fitted to the calibration curve plot and subsequently used to calculate the unknown concentrations of other samples reliably.
For data that follow a straight line, the standard method for fitting is the linear...
For data that follow a straight line, the standard method for fitting is the linear...
1.3K
01:25Poisson's And Laplace's Equation
2.8K
The electric potential of the system can be calculated by relating it to the electric charge densities that give rise to the electric potential. The differential form of Gauss's law expresses the electric field's divergence in terms of the electric charge density.
2.8K