对异质数据的共变量辅助贝叶斯图学习
Yabo Niu1, Yang Ni2, Debdeep Pati2
1Department of Mathematics, University of Houston.
Journal of the American Statistical Association
|November 7, 2024
概括
这项研究引入了一种新的贝叶斯方法来分析复杂的基因组数据,通过开发一个共变量依赖的高斯图形模型. 这种方法有效地利用辅助信息来发现基因网络,改进了传统模型.
科学领域:
- 计算生物学和生物信息学
- 统计遗传学 统计遗传学
- 网络分析 网络分析
背景情况:
- 传统的高斯图形模型假定数据是一致性,经常在基因组数据集中使用不足的辅助信息.
- 基因组数据经常包含丰富的共变量信息,可以完善对联合依赖结构的理解.
- 现有的方法难以将异质观测与共同变量特定的网络结构相结合.
研究的目的:
- 开发一个新的贝叶斯共变量依赖的高斯图形模型,用于异质的多变量观测.
- 利用辅助信息 (共变量) 允许非定向图形变化,改进依赖结构分析.
- 通过使用基因表达数据,增强生物网络的建模,例如蛋白质与蛋白质相互作用.
主要方法:
- 为共变量依赖的高斯图形模型提出了贝叶斯产品分区模型框架.
- 探索了G-Wishart前期的高斯概率和伪概率,用于模型嵌入的高斯条件的产值.
- 利用分数概率理论来确定高斯混合密度的最小最佳后部收缩速率.
主要成果:
- 拟议的模型灵活地近似了各种条件变量-共变量矩阵.
- 在特定密度假设下,证明了最小的最佳后部收缩速度.
- 模拟研究证实了该模型在捕捉共变量影响网络结构方面的有效性.
结论:
- 协同变量依赖的高斯图形模型有效地整合了辅助信息,以在异质基因组数据中改进网络推断.
- 贝叶斯方法为分析复杂的生物网络提供了一个灵活且理论上健全的框架.
- 使用mRNA基因表达的乳腺癌蛋白质网络分析的应用突出显示了实用的实用性.
相关概念视频
01:07Bar Graph
16.0K
A bar graph is also called a bar chart and consists of bars that are separated from each other. It either uses horizontal or vertical bars to show comparisons among categories. The bars can be rectangles, or they can be rectangular boxes (used in three-dimensional plots). One axis of the graph represents the specific categories being compared, and the other axis shows a discrete value. In this graph, the length of the bar for each category is proportional to the number or percent of individuals...
16.0K
01:07Multiple Bar Graph
5.1K
As the name suggests, a multiple bar graph is the same as a bar graph but has multiple bars to depict relationships between different data values. One can include as many parameters as possible. However, each parameter must have the same unit of measurement.
Each bar or column in the multiple bar graph represents a data value. These graphs are used primarily in interrelating two or more sets of data. The categories of different kinds of data are listed along the horizontal or x-axis, whereas...
Each bar or column in the multiple bar graph represents a data value. These graphs are used primarily in interrelating two or more sets of data. The categories of different kinds of data are listed along the horizontal or x-axis, whereas...
5.1K
01:10Vector Algebra: Graphical Method
11.9K
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...
11.9K
01:16Statistical Inference Techniques in Hypothesis Testing: Parametric Versus Nonparametric Data
115
Statistical inference techniques, paramount in hypothesis testing, differentiate into two broad categories: parametric and nonparametric statistics.
Parametric statistics, as the name suggests, assumes that data follow a specific distribution, often a normal distribution. This assumption enables robust hypothesis testing and estimation. Parametric methods, like the Student's t-test or Goodness-of-fit test, are frequently employed in biostatistics due to their robustness. For instance,...
Parametric statistics, as the name suggests, assumes that data follow a specific distribution, often a normal distribution. This assumption enables robust hypothesis testing and estimation. Parametric methods, like the Student's t-test or Goodness-of-fit test, are frequently employed in biostatistics due to their robustness. For instance,...
115
01:29Contingency Table
2.4K
A contingency table provides a way of portraying data that can facilitate calculating probabilities. It is a method of displaying a frequency distribution as a table with rows and columns to show how two variables may be dependent (contingent) upon each other; The table helps determine conditional probabilities quite quickly and can help systematically organize, analyze and quantify data. The table displays sample values concerning two variables that may be dependent or contingent on one...
2.4K
01:17Probability Histograms
11.1K
A probability histogram is a visual representation of a probability distribution. Similar a typical histogram, the probability histogram consists of contiguous (adjoining) boxes. It has both a horizontal axis and a vertical axis. The horizontal axis is labeled with what the data represents. The vertical axis is labeled with probability. Each rectangular bar in the histogram is 1 unit wide, which suggests that the area under each bar equals the probability, P(x), where x is 1, 2, 3, and so on.
11.1K