"""Large-label figures from a mechanically normalized phase-2 result file.""" import argparse import json from pathlib import Path import matplotlib matplotlib.use("Agg") import matplotlib.pyplot as plt import numpy as np BLUE="#0F4D92" RED="#B64342" TEAL="#42949E" VIOLET="#9A4D8E" def style(): # Visual reference: github.com/ChenLiu-1996/figures4papers (2026-09-16). plt.rcParams.update({"font.family":"DejaVu Sans","font.size":19, "axes.labelsize":22,"axes.titlesize":20,"xtick.labelsize":18, "ytick.labelsize":18,"legend.fontsize":18,"legend.frameon":False, "axes.spines.top":False,"axes.spines.right":False,"axes.linewidth":1.5, "lines.linewidth":2.8,"lines.markersize":8,"axes.titlepad":14, "pdf.fonttype":42,"ps.fonttype":42,"savefig.facecolor":"white"}) def save(fig,folder,name): folder.mkdir(parents=True,exist_ok=True) for ext in ("pdf","png"): fig.savefig(folder/(name+"."+ext),dpi=300,bbox_inches="tight",pad_inches=.12) plt.close(fig) def main(folder): data=json.loads((folder/"plot_data.json").read_text()) rows=data["rows"] out=folder/"figures" style() n=max(r["n"] for r in rows) budgets=sorted({r["budget"] for r in rows})[-2:] fig,axs=plt.subplots(1,2,figsize=(13.4,5.8)) fig.subplots_adjust(left=.10,right=.985,bottom=.28,top=.86,wspace=.33) for ax,B in zip(axs,budgets): selected=[r for r in rows if r["n"]==n and abs(r["budget"]-B)<1e-10] if len(selected)!=1: raise ValueError("Expected one frozen finalist per n,budget") row=selected[0] cases=sorted(row["cases"],key=lambda c:c["K"]) K=np.array([c["K"] for c in cases]) lo=np.array([c["L"] for c in cases]);hi=np.array([c["U"] for c in cases]) if np.any(hirow["model_tv"], color=TEAL,alpha=.14,label="Unavoidable excess") ax.set(xlabel="Allowed rounds $K$",ylabel="Total variation",xticks=[2,3,4], title=rf"$n={n},\ B={B:g}$") ax.set_ylim(bottom=0) kl_note=f"Certified KL upper ≈ {row['actual_kl']:.5f}" if not row["budget_matched"]: kl_note+="\nBudget inactive (weight cap)" ax.text(.04,.05,kl_note,transform=ax.transAxes, fontsize=18,color="#4D4D4D",va="bottom",linespacing=1.2) handles,labels=axs[0].get_legend_handles_labels() fig.legend(handles,labels,loc="lower center",bbox_to_anchor=(.54,.01),ncol=2,fontsize=18) save(fig,out,"certified_depth_cost") fig,ax=plt.subplots(figsize=(8.8,6.3)) fig.subplots_adjust(left=.18,right=.98,bottom=.19,top=.88) for (n,color,marker) in zip(sorted({r["n"] for r in rows}),[BLUE,RED,TEAL],["o","s","^"]): group=sorted([r for r in rows if r["n"]==n],key=lambda r:r["budget"]) gaps=[next(c["gap_lower"] for c in r["cases"] if c["K"]==3) for r in group] ax.plot([r["budget"] for r in group],gaps,color=color,marker=marker,label=rf"$n={n}$") ax.axhline(0,color="#767676",lw=1,ls=":") ax.set(xlabel="Joint-KL budget $B$",ylabel="Excess TV lower bound", title="Selected finite-depth witnesses ($K=3$)") ax.set_xticks(sorted({r["budget"] for r in rows})) ax.legend(loc="best",fontsize=20) save(fig,out,"certified_execution_gap") candidates=data["candidates"] fig,axs=plt.subplots(1,2,figsize=(13.4,6.2)) fig.subplots_adjust(left=.10,right=.985,bottom=.34,top=.85,wspace=.32) specs=[("single","Single alternative",RED,"^"), ("manuscript","Theorem ladder",BLUE,"D"), ("relaxed","Relaxed two-level",TEAL,"o")] for ax,n in zip(axs,[min(r["n"] for r in rows),max(r["n"] for r in rows)]): for family,label,color,marker in specs: group=[r for r in candidates if r["n"]==n and r["family"]==family] ax.scatter([r["actual_kl"] for r in group],[r["gap"] for r in group], c=color,marker=marker,s=90,label=label,alpha=.9, edgecolors="white",linewidths=.5) ax.axhline(0,color="#767676",ls=":",lw=1) ax.set(xlabel="Actual joint KL",ylabel="Excess TV (LP screening)", title=rf"Candidate search: $n={n},\ K=3$") handles,labels=axs[0].get_legend_handles_labels() fig.legend(handles,labels,loc="lower center",bbox_to_anchor=(.54,.105),ncol=3,fontsize=18) fig.text(.54,.012, "All candidates: floating-point screening; only selected witnesses independently certified.\n" "Finite candidate search; no claim of an outer optimum.", ha="center",va="bottom",fontsize=17,color="#4D4D4D",linespacing=1.2) save(fig,out,"candidate_search_diagnostics") print("Exported three PDF/PNG figure pairs.",flush=True) if __name__=="__main__": ap=argparse.ArgumentParser() ap.add_argument("--run-dir",type=Path,required=True) main(ap.parse_args().run_dir)