From d97cbe275f25602986e024bdf243c13363d2003f Mon Sep 17 00:00:00 2001
From: YurenHao0426 <Blackhao0426@gmail.com>
Date: Fri, 5 Jun 2026 13:19:08 -0500
Subject: Record dense soft capacity transition

---
 scripts/plot_dense_phase_transition.py | 69 ++++++++++++++++++++++++++++++++++
 1 file changed, 69 insertions(+)
 create mode 100644 scripts/plot_dense_phase_transition.py

(limited to 'scripts/plot_dense_phase_transition.py')

diff --git a/scripts/plot_dense_phase_transition.py b/scripts/plot_dense_phase_transition.py
new file mode 100644
index 0000000..4b6b4b6
--- /dev/null
+++ b/scripts/plot_dense_phase_transition.py
@@ -0,0 +1,69 @@
+#!/usr/bin/env python3
+"""Plot dense long-training phase-transition trajectories."""
+
+from __future__ import annotations
+
+import argparse
+from pathlib import Path
+
+import matplotlib.pyplot as plt
+import pandas as pd
+
+
+def parse_args() -> argparse.Namespace:
+    parser = argparse.ArgumentParser()
+    parser.add_argument(
+        "--run-dir",
+        type=Path,
+        default=Path("outputs/phase_transition_dense_T30000_352traj"),
+    )
+    return parser.parse_args()
+
+
+def main() -> None:
+    args = parse_args()
+    run_dir = args.run_dir
+    runs = pd.read_csv(run_dir / "runs.csv")
+    summary = pd.read_csv(run_dir / "width_summary.csv").sort_values(
+        "fa_capacity_margin", ascending=False
+    )
+
+    fig, ax = plt.subplots(figsize=(8.8, 5.4), dpi=180)
+    fa = runs[runs.run_type == "fa"].copy()
+    fa["_tid"] = fa.init_seed.astype(str) + ":" + fa.feedback_seed.astype(str)
+    for _tid, group in fa.groupby("_tid"):
+        group = group.sort_values("fa_capacity_margin", ascending=False)
+        ax.plot(
+            group.fa_capacity_margin,
+            group.train_gap_to_bp.clip(lower=1e-7),
+            color="#174f91",
+            alpha=0.12,
+            linewidth=0.8,
+        )
+    ax.errorbar(
+        summary.fa_capacity_margin,
+        summary.train_gap_mean.clip(lower=1e-7),
+        yerr=summary.train_gap_std,
+        color="#0b4d92",
+        marker="o",
+        linewidth=2.2,
+        capsize=3,
+        label="mean +/- sd",
+    )
+    ax.axvline(0, color="black", linestyle="--", linewidth=1.1)
+    ax.set_yscale("log")
+    ax.set_xlim(150, -210)
+    ax.set_xlabel("hard FA capacity margin P - K_FA - N*out")
+    ax.set_ylabel("FA train MSE - BP train MSE (log scale)")
+    ax.set_title("Dense long-training FA/BP gap vs capacity margin")
+    ax.grid(alpha=0.18, which="both")
+    ax.legend(frameon=True)
+    fig.tight_layout()
+    path = run_dir / "dense_T30000_gap_logscale.png"
+    fig.savefig(path)
+    plt.close(fig)
+    print(f"plot: {path}")
+
+
+if __name__ == "__main__":
+    main()
-- 
cgit v1.2.3