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Regression Analysis
Statistics and Its Interface • Vol 17 • No 4
A double regression method for graphical modeling of high-dimensional nonlinear and non-Gaussian data
2024
Graphical models have long been studied in statistics as a tool for inferring conditional independence relationships among a large set of random variables. The most existing works in graphical modeling focus on the cases that the data are Gaussian or mixed an…
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Regression Analysis

Set of statistical processes for estimating the relationships among variables

In statistical modeling, regression analysis is a statistical method for estimating the relationship between a dependent variable (often called the outcome or response variable, or a label in machine learning parlance) and one or more independent variables (often called regressors , predictors , covariates , explanatory variables or features).

The most common form of regression analysis is linear regression, in which one finds the line (or a more complex linear combination) that most closely fits the data according to a specific mathematical criterion.

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Statistics and Its Interface • Vol 17 • No 4
A double regression method for graphical modeling of high-dimensional nonlinear and non-Gaussian data
2024
Graphical models have long been studied in statistics as a tool for inferring conditional independence relationships among a large set of random variables. The most existing works in graphical modeling focus on the cases that the data are Gaussian or mixed and the variables are linearly dependent. In this paper, we propose a double regression method for learning graphical models under the high-dimensional nonlinear and non-Gaussian setting, and prove that the proposed method is consistent under mild conditions. Th…
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Mathematics
Statistics
Graphical Model
Dimension
Gaussian Function
Computer Science
Data Mining
Artificial Intelligence
Physics
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Quantum Mechanics