📘 Instructions for Reproducible Materials

Note: The implementation of SLIDE is provided by the R function slide in the abess package on CRAN.

---

🗂️ Project Organization

• 🖥️ Bash script (batch.sh): Automates execution of all numerical simulation studies.
• 📊 R scripts (.R): Implement baseline methods, evaluation metrics, simulation studies, and real-data analysis of the congressional voting dataset.
• 📁 Data files (.csv): Used for real-world data analysis. Available on
  👉 Dropbox.

---

📄 File Descriptions

🔧 Main R Scripts

• simu_degree.R — empirical sample complexity analysis w.r.t. degree.
• simu_beta.R — empirical sample complexity analysis w.r.t. maximum signal.
• simu_high.R — experiments for high-dimensional cases.
• simu_p.R — empirical sample complexity analysis w.r.t. dimension.
• simu_ws.R — empirical sample complexity analysis w.r.t. weakest signal.
• DataAnalysis.R — real-data analysis, including data cleaning, estimation of graphical structure among senators, and visualization.

🧩 Utility R Scripts (automatically used by main scripts)

• simulation_main.R — executes a method on a simulated dataset.
• method_implementation.R — implementations of baseline methods (RPLE, RISE, logRISE, ELASSO, RLRF).
• evaluation.R — evaluation metrics (e.g., Frobenius norm, true positive rate).

---

🔁 Reproducing Results

Each script corresponds to figures/tables in the paper:

Script	Output Figures / Tables
simu_degree.R	Figure 1, Table S1
simu_beta.R	Figure 2, Figure S1
simu_high.R	Figure 3, Figure S2
simu_p.R	Figure S3
simu_ws.R	Figure S4
DataAnalysis.R	Figure 4

---

▶️ Quick Start: Reproduce All Results

1. 📈 Reproduce real-data results (Figure 4):

   Rscript DataAnalysis.R

2. 🚀 Run simulations using the bash script:

   bash batch.sh

---