experiment: add workload regime taxonomy

runs/frontier-workload-regime-taxonomy-v0/plot_mock_boundary.py

@@ -0,0 +1,73 @@
+#!/usr/bin/env python3
+"""Render the review-only schematic for the workload-regime experiment card."""
+
+from pathlib import Path
+
+import matplotlib.pyplot as plt
+import numpy as np
+
+
+def logistic(x: np.ndarray, center: float, width: float) -> np.ndarray:
+    return 1.0 / (1.0 + np.exp(-(x - center) / width))
+
+
+rho = np.linspace(0.02, 1.25, 300)
+families = {
+    "homogeneous / real": (0.54, "#1f77b4", "-"),
+    "homogeneous / simulator": (0.36, "#1f77b4", "--"),
+    "heterogeneous / real": (0.76, "#d95f02", "-"),
+    "heterogeneous / simulator": (0.68, "#d95f02", "--"),
+}
+
+fig, axes = plt.subplots(1, 2, figsize=(11.5, 4.6), constrained_layout=True)
+
+for label, (center, color, style) in families.items():
+    state = 0.1 + 0.82 * logistic(rho, center, 0.055)
+    axes[0].plot(rho, state, color=color, linestyle=style, linewidth=2.2, label=label)
+
+axes[0].axhline(0.5, color="0.35", linewidth=1, linestyle=":")
+axes[0].set(
+    title="A. Closed-loop scheduler-state knee",
+    xlabel="Normalized decode offered load, ρ",
+    ylabel="State index (batch / occupancy)",
+    xlim=(0, 1.25),
+    ylim=(0, 1.02),
+)
+axes[0].legend(frameon=False, fontsize=8, loc="lower right")
+
+homogeneous_slack = 0.32 - 0.82 * np.exp(-((rho - 0.45) / 0.18) ** 2) - 0.12 * rho
+heterogeneous_slack = 0.38 - 0.43 * np.exp(-((rho - 0.72) / 0.20) ** 2) - 0.10 * rho
+capacity_aligned = 0.18 + 0.18 * logistic(rho, 0.83, 0.07)
+
+axes[1].plot(rho, homogeneous_slack, color="#1f77b4", linewidth=2.2, label="homogeneous")
+axes[1].plot(rho, heterogeneous_slack, color="#d95f02", linewidth=2.2, label="heterogeneous")
+axes[1].plot(rho, capacity_aligned, color="#2a9d8f", linewidth=2.2, label="capacity-aligned")
+axes[1].axhline(0, color="black", linewidth=1.2)
+axes[1].fill_between(rho, -0.55, 0, color="#d62728", alpha=0.09, label="ranking reversal")
+axes[1].set(
+    title="B. Config-ranking decision boundary",
+    xlabel="Normalized decode offered load, ρ",
+    ylabel="Minimum signed decision slack",
+    xlim=(0, 1.25),
+    ylim=(-0.55, 0.55),
+)
+axes[1].legend(frameon=False, fontsize=8, loc="lower right")
+
+for ax in axes:
+    ax.grid(alpha=0.18)
+    ax.text(
+        0.5,
+        0.94,
+        "MOCK / SCHEMATIC — NOT DATA",
+        transform=ax.transAxes,
+        ha="center",
+        va="top",
+        fontsize=10,
+        fontweight="bold",
+        color="#9d0208",
+        bbox={"facecolor": "white", "edgecolor": "#9d0208", "alpha": 0.86},
+    )
+
+out = Path(__file__).with_name("mock_workload_regime_boundary.png")
+fig.savefig(out, dpi=180)
+print(out)