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Joint skeleton estimation of multiple directed acyclic graphs for heterogeneous population
Jianyu Liu1, Wei Sun2, Yufeng Liu1,3
1Department of Statistics and Operations Research, The University of North Carolina at Chapel Hill, Chapel Hill, North Carolina, U.S.A.
This study introduces a novel method for estimating multiple population's directed acyclic graph (DAG) skeletons from observational data. The approach improves accuracy and robustness, even with uncertain population labels.
Area of Science:
- Computational biology
- Statistical genetics
- Network inference
Background:
- Directed acyclic graphs (DAGs) model high-dimensional variable interactions.
- Estimating DAG skeletons (undirected graphs) is possible with observational data.
- Real-world data often comprises mixtures of populations, each with its own DAG.
Purpose of the Study:
- To develop a method for jointly estimating DAG skeletons across multiple populations.
- To handle situations where sample population origin is unknown or partially labeled.
- To improve accuracy and robustness compared to separate estimation or hard labels.
Main Methods:
- A two-step approach for joint DAG skeleton estimation.
- Utilizes probabilistic soft labels for sample population origin.
- Evaluates estimation consistency and performance via simulations.
Main Results:
- The proposed method achieves more accurate and robust DAG skeleton estimation.
- Soft labels enhance accuracy compared to hard labels.
- Demonstrated effectiveness across various simulation settings.
Conclusions:
- The developed method offers a powerful tool for multi-population DAG skeleton inference.
- Applicable to complex biological datasets, such as gene expression data.
- Provides a robust framework for analyzing mixed-population data with potential labeling errors.
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