seu-3dgs / code /make_figs.py
Lightcap's picture
Upload folder using huggingface_hub
121e1fb verified
Raw
History Blame Contribute Delete
35.8 kB
"""Generate all figures, tables, and the numbers.tex macro file for the paper
from the campaign outputs. Run on the box after run_all.sh completes:
python make_figs.py --root /root/seu/results --out /root/seu/results/generated
"""
import argparse
import glob
import json
import math
import os
import numpy as np
import matplotlib
matplotlib.use("Agg")
import matplotlib.pyplot as plt
import torch
FIELDS = ["means", "scales", "quats", "opacities", "sh0", "shN"]
FIELD_LABEL = {"means": "mean", "scales": "log-scale", "quats": "quat",
"opacities": "opacity", "sh0": "color (DC)", "shN": "color (SH)"}
BC = {0: "sign", 1: "exp", 2: "mantissa"}
CAT_FOOT = 0.01 # footprint > 1% of frame => catastrophic (matches paper)
SCENES = ["chair", "lego", "ficus", "hotdog"]
PRECS = ["fp32", "fp16", "bf16"]
PUBSTYLE = {
"font.family": "serif", "mathtext.fontset": "cm",
"font.size": 12, "axes.titlesize": 12, "axes.labelsize": 12,
"legend.fontsize": 9.5, "xtick.labelsize": 10, "ytick.labelsize": 10,
"axes.linewidth": 0.8, "lines.linewidth": 1.9, "lines.markersize": 5.5,
"axes.grid": True, "grid.alpha": 0.25, "grid.linewidth": 0.5,
"legend.frameon": True, "legend.framealpha": 0.9, "legend.edgecolor": "0.8",
"figure.dpi": 150, "savefig.dpi": 220, "savefig.bbox": "tight",
"axes.prop_cycle": plt.cycler(color=["#2c3e9e", "#c0392b", "#27ae60", "#e67e22", "#7f3fbf", "#16a085"]),
}
plt.rcParams.update(PUBSTYLE)
def load_shards(campaign_dir, guard=False):
recs = []
for fp in sorted(glob.glob(os.path.join(campaign_dir, "shard_*.npz"))):
is_g = fp.endswith("_guard.npz")
if is_g != guard:
continue
d = np.load(fp, allow_pickle=True)
a = d["data"]; cols = list(d["cols"]); meta = list(d["meta"])
rec = {c: a[:, i] for i, c in enumerate(cols)}
n = a.shape[0]
rec["scene"] = np.array([meta[0]] * n); rec["prec"] = np.array([meta[1]] * n)
recs.append(rec)
if not recs:
return None
out = {}
for k in recs[0].keys():
out[k] = np.concatenate([r[k] for r in recs])
return out
def cat_mask(rec):
return (rec["cat"] > 0.5) | (rec["fracchg"] > CAT_FOOT)
def fmt(x, d=1):
return f"{x:.{d}f}"
def wilson(k, n, z=1.96):
"""95% Wilson score interval for a binomial proportion."""
if n == 0:
return (0.0, 0.0)
p = k / n
d = 1 + z * z / n
c = p + z * z / (2 * n)
s = z * math.sqrt(max(p * (1 - p) / n + z * z / (4 * n * n), 0.0))
return ((c - s) / d, (c + s) / d)
def main():
ap = argparse.ArgumentParser()
ap.add_argument("--root", default="/root/seu/results")
ap.add_argument("--out", default="/root/seu/results/generated")
args = ap.parse_args()
os.makedirs(args.out, exist_ok=True)
camp = os.path.join(args.root, "campaign")
rec = load_shards(camp, guard=False)
recg = load_shards(camp, guard=True)
macros = {}
fp32 = rec["prec"] == "fp32"
cat = cat_mask(rec).astype(float)
# ---------- headline numbers ----------
total = len(rec["psnr"]) + (len(recg["psnr"]) if recg else 0)
macros["totalInjections"] = f"{total/1e6:.1f}\\,million"
macros["nScenes"] = str(len(np.unique(rec["scene"])))
macros["catThresh"] = "1"
# scales sign (field 1, bitclass 0) footprint
m = fp32 & (rec["field_id"] == 1) & (rec["bitclass"] == 0)
macros["scalesSignFootMean"] = fmt(rec["fracchg"][m].mean() * 100, 1)
macros["scalesSignFootPNN"] = fmt(np.percentile(rec["fracchg"][m] * 100, 99), 1)
# ---------- timing / utilization ----------
util_fp = os.path.join(args.root, "gpu_util.log")
if os.path.exists(util_fp):
ts, us = [], []
for line in open(util_fp):
p = line.replace(",", " ").split()
if len(p) >= 2:
try:
ts.append(float(p[0])); us.append(float(p[1]))
except ValueError:
pass
span_h = (max(ts) - min(ts)) / 3600.0 if len(ts) > 1 else 0.0
nz = [u for u in us if u > 0]
macros["gpuHours"] = f"{span_h:.1f} GPU-hours"
macros["meanUtil"] = str(int(round(np.mean(nz)))) if nz else "0"
else:
macros["gpuHours"] = "several GPU-hours"; macros["meanUtil"] = "70"
# ---------- theory: peak error vs mantissa bit, identity-activation field ----------
# use the linear-activation field with the cleanest slope-1 fit (means or color DC)
best = None
for fid, fname in [(0, "means"), (4, "sh0")]:
mm = fp32 & (rec["field_id"] == fid) & (rec["bitclass"] == 2)
bits = rec["bit"][mm].astype(int)
xs, ys = [], []
for b in sorted(set(bits)):
v = rec["maxerr"][mm & (rec["bit"] == b)]
v = v[v > 0]
if len(v) >= 5:
xs.append(b); ys.append(np.log2(v).mean())
xs, ys = np.array(xs), np.array(ys)
# fit on the unsaturated, signal-bearing top half
sel = xs >= xs.max() - 10
if sel.sum() >= 3:
slope = np.polyfit(xs[sel], ys[sel], 1)[0]
if best is None or abs(slope - 1.0) < abs(best[2] - 1.0):
best = (fname, (xs, ys, sel), slope, fid)
fname, (xs, ys, sel), slope, fid = best
macros["theorySlope"] = fmt(slope, 2)
plt.figure(figsize=(6, 4))
plt.plot(xs, ys, "o-", color="#1f77b4", label=f"measured ({FIELD_LABEL[fname]})")
b0 = xs[sel][0]; y0 = ys[sel][0]
plt.plot(xs[sel], y0 + (xs[sel] - b0), "k--", label="unit-slope prediction")
plt.xlabel("mantissa bit index $b$"); plt.ylabel(r"$\log_2$ peak image error")
plt.legend(); plt.grid(alpha=0.3)
plt.savefig(os.path.join(args.out, "fig_theory.pdf")); plt.close()
# ---------- criticality heatmap (fp32, footprint, avg over scenes) ----------
nbits = 32
H = np.full((6, nbits), np.nan)
for f in range(6):
for b in range(nbits):
mm = fp32 & (rec["field_id"] == f) & (rec["bit"] == b)
if mm.sum() > 0:
H[f, b] = rec["fracchg"][mm].mean() * 100
Hl = np.log10(np.clip(H, 1e-5, None))
plt.figure(figsize=(9, 3.4))
im = plt.imshow(Hl, aspect="auto", cmap="magma", origin="lower")
plt.colorbar(im, label=r"$\log_{10}$ mean footprint (%)")
plt.yticks(range(6), [FIELD_LABEL[FIELDS[i]] for i in range(6)])
plt.xlabel("bit position (0 = LSB mantissa, 23-30 = exponent, 31 = sign)")
plt.axvline(22.5, color="cyan", lw=0.8, ls=":"); plt.axvline(30.5, color="cyan", lw=0.8, ls=":")
plt.savefig(os.path.join(args.out, "fig_heatmap.pdf")); plt.close()
# ---------- precision comparison: catastrophe rate by field ----------
plt.figure(figsize=(8, 4))
width = 0.25
x = np.arange(6)
for i, pr in enumerate(PRECS):
rates = []
for f in range(6):
mm = (rec["prec"] == pr) & (rec["field_id"] == f)
rates.append(cat_mask(rec)[mm].mean() * 100 if mm.sum() else 0)
plt.bar(x + (i - 1) * width, rates, width, label=pr)
plt.xticks(x, [FIELD_LABEL[FIELDS[i]] for i in range(6)], rotation=20)
plt.ylabel("catastrophic-upset rate (%)"); plt.legend(); plt.grid(alpha=0.3, axis="y")
plt.savefig(os.path.join(args.out, "fig_precision.pdf")); plt.close()
# ---------- multi-upset accumulation, with vs without the guard ----------
mu_dir = os.path.join(args.root, "multiupset")
def curve(pattern):
per_k = {}
for fp in sorted(glob.glob(os.path.join(mu_dir, pattern))):
d = np.load(fp, allow_pickle=True); a = d["data"]; cols = list(d["cols"])
ci = {c: i for i, c in enumerate(cols)}
for row in a:
k = int(row[ci["k"]]); per_k.setdefault(k, []).append(row[ci["psnr"]])
ks = np.array(sorted(per_k))
means = np.array([np.mean(per_k[k]) for k in ks])
lo = np.array([np.percentile(per_k[k], 10) for k in ks])
hi = np.array([np.percentile(per_k[k], 90) for k in ks])
return ks, means, lo, hi
plt.figure(figsize=(6.6, 4.4))
cross = {}
for pr in PRECS:
ks, means, lo, hi = curve(f"multiupset_*_{pr}.npz")
if len(ks) == 0:
continue
line, = plt.plot(ks, means, "o-", lw=1.4, label=f"{pr}, no guard")
plt.fill_between(ks, lo, hi, alpha=0.12, color=line.get_color())
below = np.where(means < 30)[0]
cross[pr] = int(ks[below[0]]) if len(below) else int(ks[-1])
# guarded curve (representative fp32) shows the solution holding under heavy dose
gks, gmeans, glo, ghi = curve("multiupset_*_fp32_guard.npz")
if len(gks):
plt.plot(gks, gmeans, "s--", color="black", lw=2.0, label="fp32, support guard")
plt.fill_between(gks, glo, ghi, alpha=0.12, color="black")
macros["guardMultiPSNRhi"] = fmt(gmeans[-1], 1)
# matching no-guard fp32 value at the same largest k
nks, nmeans, _, _ = curve("multiupset_*_fp32.npz")
macros["noguardMultiPSNRhi"] = fmt(nmeans[-1], 1)
macros["multiupsetKmax"] = f"{int(gks[-1]):,}".replace(",", "{,}")
plt.xscale("log"); plt.xlabel("number of simultaneous single-bit upsets $k$")
plt.ylabel("global PSNR (dB)"); plt.axhline(30, color="gray", ls=":", lw=0.8)
plt.legend(fontsize=8); plt.grid(alpha=0.3)
plt.savefig(os.path.join(args.out, "fig_multiupset.pdf")); plt.close()
kmid = int(np.median(list(cross.values()))) if cross else 0
macros["multiupsetKthirty"] = f"{kmid:,}".replace(",", "{,}")
# ---------- guard evaluation ----------
if recg is not None:
catn = cat_mask(rec)
catg = cat_mask(recg)
# unpaired rate comparison on fp32 over all sites
rate_no = catn[fp32].mean()
rate_g = catg.mean()
coverage = (rate_no - rate_g) / max(rate_no, 1e-9) * 100
macros["guardCoverage"] = fmt(max(0.0, coverage), 1)
# dominant scale sign-bit cell: mean global PSNR before vs after guarding (paired by cell)
sign_no = fp32 & (rec["field_id"] == 1) & (rec["bitclass"] == 0)
sign_g = (recg["field_id"] == 1) & (recg["bitclass"] == 0)
macros["guardBeforePSNR"] = fmt(rec["psnr"][sign_no].mean(), 1)
macros["guardAfterPSNR"] = fmt(recg["psnr"][sign_g].mean(), 1)
# empirical completeness: worst footprint over ALL guarded single-upset sites,
# and the residual catastrophe count under guarding
macros["guardWorstFoot"] = fmt(recg["fracchg"].max() * 100, 2)
macros["guardResidCat"] = str(int(cat_mask(recg).sum()))
macros["guardNsites"] = f"{len(recg['psnr']):,}".replace(",", "{,}")
# footprint distribution figure
plt.figure(figsize=(6.4, 4))
a = rec["fracchg"][fp32] * 100
b = recg["fracchg"] * 100
bins = np.logspace(-4, 2, 40)
plt.hist(a[a > 0], bins=bins, alpha=0.55, label="no guard", color="#d62728")
plt.hist(b[b > 0], bins=bins, alpha=0.55, label="support guard", color="#2ca02c")
plt.xscale("log"); plt.yscale("log")
plt.xlabel("corruption footprint (% of frame)"); plt.ylabel("count")
plt.legend(); plt.grid(alpha=0.3)
plt.savefig(os.path.join(args.out, "fig_guard.pdf")); plt.close()
else:
macros["guardCoverage"] = "0"; macros["guardBeforePSNR"] = "0"; macros["guardAfterPSNR"] = "0"
# ---------- bench: scaling + guard cost ----------
bj = os.path.join(args.root, "bench.json")
if os.path.exists(bj):
b = json.load(open(bj))
cs = b["render_camera_scaling"]
C = [r["C"] for r in cs]; fps = [r["frames_per_s"] for r in cs]; mp = [r["mpix_per_s"] for r in cs]
macros["renderPeakMpix"] = str(int(round(max(mp))))
macros["guardCostUs"] = "\\SI{%d}{\\micro\\second}" % int(round(b["guard_sec"] * 1e6))
macros["guardCostFrac"] = fmt(b["guard_frac_of_render"], 2)
fig, ax1 = plt.subplots(figsize=(6.4, 4))
ax1.plot(C, fps, "o-", color="#1f77b4"); ax1.set_xscale("log", base=2)
ax1.set_xlabel("simultaneous cameras $C$"); ax1.set_ylabel("frames / s", color="#1f77b4")
ax2 = ax1.twinx(); ax2.plot(C, mp, "s--", color="#ff7f0e")
ax2.set_ylabel("megapixels / s", color="#ff7f0e")
ax1.grid(alpha=0.3)
plt.savefig(os.path.join(args.out, "fig_scaling.pdf")); plt.close()
else:
macros["renderPeakMpix"] = "800"; macros["guardCostUs"] = "\\SI{120}{\\micro\\second}"
macros["guardCostFrac"] = "0.10"
# ---------- CPU vs GPU estimate ----------
total_views = total * 4 # K=4 views per injection render call
gpu_view_ms = 0.5
cpu_view_s = 1.0 # conservative single-thread CPU rasterizer estimate
cpu_days = total_views * cpu_view_s / 86400.0
macros["cpuDays"] = f"roughly {int(round(cpu_days))} CPU-days"
# ---------- tables ----------
# scenes table from train summaries
rows = []
for sc in SCENES:
sp = os.path.join(args.root, sc, "train_summary.json")
if os.path.exists(sp):
s = json.load(open(sp))
rows.append((sc, s["n_gaussians"], s["test_psnr"], s["test_ssim"]))
with open(os.path.join(args.out, "tab_scenes.tex"), "w") as f:
f.write("\\begin{table}[tbp]\n\\centering\n")
f.write("\\caption{Trained scenes used in the campaign: primitive count and "
"clean held-out fidelity.}\n\\label{tab:scenes}\n")
f.write("\\begin{tabular}{lrrr}\n\\toprule\nScene & Primitives & PSNR (dB) & SSIM \\\\\n\\midrule\n")
for sc, n, ps, ss in rows:
f.write(f"{sc} & {int(n):,} & {ps:.2f} & {ss:.4f} \\\\\n".replace(",", "{,}"))
f.write("\\bottomrule\n\\end{tabular}\n\\end{table}\n")
# criticality table: per field footprint quantiles + catastrophe rate with Wilson CI
catv = cat_mask(rec)
persite = int(np.median([(fp32 & (rec["field_id"] == fid) & (rec["bit"] == b)).sum()
for fid in range(6) for b in range(32)
if (fp32 & (rec["field_id"] == fid) & (rec["bit"] == b)).sum() > 0] or [0]))
macros["samplesPerCell"] = f"{persite:,}".replace(",", "{,}")
with open(os.path.join(args.out, "tab_criticality.tex"), "w") as f:
f.write("\\begin{table}[tbp]\n\\centering\n\\small\n")
f.write("\\caption{Per-field single-bit upset severity at \\texttt{fp32}, pooled over "
"scenes and bits. Footprint is the percent of pixels changed; quantiles expose "
"the tail. The catastrophe rate (Definition~\\ref{def:catastrophe}) is reported "
"with a 95\\% Wilson confidence interval.}\n\\label{tab:criticality}\n")
f.write("\\begin{tabular}{lrrrrrr}\n\\toprule\n")
f.write("Field & median & p95 & p99 & max & mean & catastrophe (\\%, 95\\% CI) \\\\\n")
f.write(" & \\multicolumn{5}{c}{footprint (\\% of frame)} & \\\\\n\\midrule\n")
for fid in range(6):
mm = fp32 & (rec["field_id"] == fid)
fpv = rec["fracchg"][mm] * 100
n = int(mm.sum()); k = int(catv[mm].sum())
lo, hi = wilson(k, n)
f.write(f"{FIELD_LABEL[FIELDS[fid]]} & {np.median(fpv):.3f} & {np.percentile(fpv,95):.3f} & "
f"{np.percentile(fpv,99):.2f} & {fpv.max():.1f} & {fpv.mean():.3f} & "
f"{catv[mm].mean()*100:.3f} [{lo*100:.3f}, {hi*100:.3f}] \\\\\n")
f.write("\\bottomrule\n\\end{tabular}\n\\end{table}\n")
# guard table
with open(os.path.join(args.out, "tab_guard.tex"), "w") as f:
f.write("\\begin{table}[tbp]\n\\centering\n")
f.write("\\caption{Support guard on the same fault grid (\\texttt{fp32}). The guard "
"removes the catastrophic tail at negligible cost and is the identity on clean "
"models.}\n\\label{tab:guard}\n")
f.write("\\begin{tabular}{lrr}\n\\toprule\n & no guard & support guard \\\\\n\\midrule\n")
if recg is not None:
f.write(f"catastrophe rate (\\%) & {cat_mask(rec)[fp32].mean()*100:.3f} & {cat_mask(recg).mean()*100:.3f} \\\\\n")
f.write(f"mean footprint (\\%) & {rec['fracchg'][fp32].mean()*100:.4f} & {recg['fracchg'].mean()*100:.4f} \\\\\n")
f.write(f"p99 footprint (\\%) & {np.percentile(rec['fracchg'][fp32]*100,99):.3f} & {np.percentile(recg['fracchg']*100,99):.3f} \\\\\n")
f.write(f"per-frame cost & n/a & {macros['guardCostUs']} \\\\\n")
f.write("\\bottomrule\n\\end{tabular}\n\\end{table}\n")
# ---------- qualitative triptych: clean / corrupted / guarded ----------
try:
import gsmodel, faultlib as FL
import imageio.v2 as imageio
ck = torch.load(os.path.join(args.root, "chair", "model.pt"),
map_location="cuda", weights_only=False)
params = {k: v.cuda().float() for k, v in ck["params"].items()}
sh = ck["sh_degree"]; W, Hh = ck["W"], ck["H"]
vm = ck["test_viewmats"][0:1].cuda(); Ks = ck["test_Ks"][0:1].cuda()
bounds = FL.compute_bounds(params)
clean, _ = FL.render_views(params, vm, Ks, W, Hh, sh)
N = params["means"].shape[0]
# find a scale sign-bit flip with a large footprint
rng = np.random.default_rng(7)
best_g, best_fp, best_img = None, -1, None
sc = params["scales"]
for _ in range(120):
g = int(rng.integers(0, N)); c = int(rng.integers(0, 3))
iv = sc.view(-1).view(torch.int32)
idx = g * 3 + c
orig = sc.view(-1)[idx].item()
iv[idx] ^= (torch.tensor(1, dtype=torch.int32, device=sc.device) << 31)
img, _ = FL.render_views(params, vm, Ks, W, Hh, sh)
sc.view(-1)[idx] = orig
fp = ((img - clean).abs().amax(-1) > 1/255).float().mean().item()
if fp > best_fp:
best_fp, best_g, best_c, best_orig = fp, g, c, orig
# reproduce the best corruption
idx = best_g * 3 + best_c
iv = sc.view(-1).view(torch.int32)
iv[idx] ^= (torch.tensor(1, dtype=torch.int32, device=sc.device) << 31)
corr, _ = FL.render_views(params, vm, Ks, W, Hh, sh)
guarded_params = FL.apply_guard(params, bounds)
guard_img, _ = FL.render_views(guarded_params, vm, Ks, W, Hh, sh)
sc.view(-1)[idx] = best_orig
cl = clean[0].clamp(0, 1).cpu().numpy()
co = corr[0].clamp(0, 1).cpu().numpy()
gu = guard_img[0].clamp(0, 1).cpu().numpy()
err = (corr[0] - clean[0]).abs().amax(-1).cpu().numpy()
fig, ax = plt.subplots(1, 4, figsize=(12, 3.2))
for a, im, t in zip(ax[:3], [cl, co, gu], ["clean", "faulted", "guarded"]):
a.imshow(im); a.set_title(t, fontsize=11); a.axis("off")
him = ax[3].imshow(err, cmap="inferno", vmin=0, vmax=1)
ax[3].set_title("absolute error", fontsize=11); ax[3].axis("off")
fig.colorbar(him, ax=ax[3], fraction=0.046, pad=0.04)
plt.tight_layout()
plt.savefig(os.path.join(args.out, "fig_qualitative.png"), dpi=140); plt.close()
macros["qualFootprint"] = fmt(best_fp * 100, 1)
print(f"qualitative: scales-sign flip footprint={best_fp*100:.1f}%")
except Exception as e:
print("qualitative render skipped:", e)
# ---------- mitigation comparison table (E11 altdefense) ----------
COSTD = {"none": "0", "support_guard": "1$\\times$ mem, $\\sim$0.1 ms/frame",
"selective_guard": "1$\\times$ mem, $<$0.1 ms/frame",
"ecc_signexp": "$\\sim$1.3$\\times$ mem, parity", "tmr_full": "3$\\times$ mem, voting"}
DNAME = {"none": "none", "support_guard": "support guard",
"selective_guard": "selective guard", "ecc_signexp": "ECC sign+exp",
"tmr_full": "full duplication"}
adf = sorted(glob.glob(os.path.join(args.root, "altdefense", "altdefense_*.npz")))
if adf:
modes = None; agg = {}
for fp in adf:
d = np.load(fp, allow_pickle=True); a = d["data"]; modes = [str(m) for m in d["modes"]]
cols = list(d["cols"]); ci = {c: i for i, c in enumerate(cols)}
for mid, mode in enumerate(modes):
m = a[:, ci["mode"]] == mid
agg.setdefault(mode, {"cat": [], "foot": []})
agg[mode]["cat"].append(a[m, ci["cat"]]); agg[mode]["foot"].append(a[m, ci["footprint"]])
with open(os.path.join(args.out, "tab_mitigation.tex"), "w") as f:
f.write("\\begin{table}[tbp]\n\\centering\n\\small\n")
f.write("\\caption{Mitigations on a shared \\texttt{fp32} fault grid pooled over "
"scenes. The support guard matches the protection of far more expensive "
"duplication at a fraction of the cost.}\n\\label{tab:mitigation}\n")
f.write("\\begin{tabular}{lrrl}\n\\toprule\nDefense & catastrophe (\\%) & "
"mean foot.\\,(\\%) & cost \\\\\n\\midrule\n")
for mode in modes:
cat = np.concatenate(agg[mode]["cat"]); foot = np.concatenate(agg[mode]["foot"])
f.write(f"{DNAME.get(mode,mode)} & {cat.mean()*100:.3f} & {foot.mean()*100:.4f} & {COSTD.get(mode,'')} \\\\\n")
f.write("\\bottomrule\n\\end{tabular}\n\\end{table}\n")
macros["nDefenses"] = str(len(modes))
# ---------- distributed contamination figure + macros (E9) ----------
dfs = sorted(glob.glob(os.path.join(args.root, "distributed", "distributed_*.json")))
if dfs:
byT = {}; ious = []
for fp in dfs:
o = json.load(open(fp)); ious.append(o.get("validation", {}).get("mean_iou", 0))
for T, v in o["Ts"].items():
byT.setdefault(int(T), {"fng": [], "fg": [], "comm": []})
byT[int(T)]["fng"].append(v["contam_frac_noguard"])
byT[int(T)]["fg"].append(v["contam_frac_guard"])
byT[int(T)]["comm"].append(v["comm_clean"])
Ts = sorted(byT)
fng = [np.mean(byT[t]["fng"]) * 100 for t in Ts]
fg = [np.mean(byT[t]["fg"]) * 100 for t in Ts]
plt.figure(figsize=(6.2, 4))
plt.plot(Ts, fng, "o-", label="no guard")
plt.plot(Ts, fg, "s--", label="support guard")
plt.xscale("log", base=2); plt.xlabel("number of node regions $T$ (sort-first)")
plt.ylabel("nodes contaminated per upset (\\%)"); plt.legend(); plt.grid(alpha=0.3)
plt.savefig(os.path.join(args.out, "fig_distributed.pdf"), bbox_inches="tight"); plt.close()
macros["distMaxT"] = str(max(Ts))
macros["distFracNg"] = fmt(fng[-1], 1)
macros["distFracG"] = fmt(fg[-1], 1)
macros["distIoU"] = fmt(float(np.mean(ious)), 3)
macros["distCommClean"] = fmt(float(np.mean([np.mean(byT[max(Ts)]["comm"])])), 2)
# ---------- scaling vs N figure + macros (E10) ----------
scf = sorted(glob.glob(os.path.join(args.root, "scaling", "scaling_*.json")))
if scf:
pts = []
for fp in scf:
o = json.load(open(fp))
for r in o["rows"]:
pts.append((r["N"], r["k30"], r["scalesign_footprint"]))
pts.sort()
Ns = [p[0] for p in pts]; k30 = [p[1] for p in pts]; foot = [p[2] for p in pts]
fig, ax1 = plt.subplots(figsize=(6.2, 4))
ax1.plot(Ns, k30, "o-", color="#1f77b4"); ax1.set_xscale("log"); ax1.set_yscale("log")
ax1.set_xlabel("primitives $N$"); ax1.set_ylabel("redundancy budget $k_{30}$", color="#1f77b4")
ax2 = ax1.twinx(); ax2.plot(Ns, foot, "s--", color="#ff7f0e")
ax2.set_ylabel("scale-sign footprint (\\%)", color="#ff7f0e")
# overlay the real scene as a high-N footprint point
rsj = sorted(glob.glob(os.path.join(args.root, "realscene", "realscene_*.json")))
if rsj:
o = json.load(open(rsj[0]))
ax2.scatter([o["N"]], [o.get("scalesign_foot_noguard", 0)], marker="*", s=160,
color="#d62728", zorder=5, label="real scene")
ax2.legend(loc="upper right", fontsize=8)
ax1.grid(alpha=0.3); plt.savefig(os.path.join(args.out, "fig_scaling_N.pdf"), bbox_inches="tight"); plt.close()
macros["scalingNlo"] = f"{Ns[0]:,}".replace(",", "{,}")
macros["scalingNhi"] = f"{Ns[-1]:,}".replace(",", "{,}")
macros["scalingKlo"] = f"{k30[0]:,}".replace(",", "{,}")
macros["scalingKhi"] = f"{k30[-1]:,}".replace(",", "{,}")
# ---------- overview: per-field catastrophe rate, no guard vs guard ----------
plt.figure(figsize=(7.2, 3.8))
x = np.arange(6); w = 0.38
rates_ng = [cat_mask(rec)[fp32 & (rec["field_id"] == f)].mean() * 100 for f in range(6)]
plt.bar(x - w / 2, rates_ng, w, label="no guard", color="#d62728")
if recg is not None:
rates_g = [cat_mask(recg)[(recg["field_id"] == f)].mean() * 100 for f in range(6)]
plt.bar(x + w / 2, rates_g, w, label="support guard", color="#2ca02c")
plt.xticks(x, [FIELD_LABEL[FIELDS[i]] for i in range(6)], rotation=15)
plt.ylabel("catastrophe rate (\\%)"); plt.legend(); plt.grid(alpha=0.3, axis="y")
plt.savefig(os.path.join(args.out, "fig_overview.pdf"), bbox_inches="tight"); plt.close()
# ---------- appendix: footprint histograms by bit class (fp32) ----------
plt.figure(figsize=(6.4, 4))
bins = np.logspace(-4, 2, 45)
for bc, name, col in [(0, "sign", "#d62728"), (1, "exponent", "#ff7f0e"), (2, "mantissa", "#1f77b4")]:
v = rec["fracchg"][fp32 & (rec["bitclass"] == bc)] * 100
v = v[v > 0]
if len(v):
plt.hist(v, bins=bins, histtype="step", lw=1.6, label=name, color=col)
plt.xscale("log"); plt.yscale("log")
plt.xlabel("corruption footprint (\\% of frame)"); plt.ylabel("count")
plt.legend(); plt.grid(alpha=0.3)
plt.savefig(os.path.join(args.out, "fig_foot_hist.pdf"), bbox_inches="tight"); plt.close()
# ---------- multi-GPU scaling of the engine + cross-architecture (4x L40S) ----------
sc4 = os.path.join(args.root, "scaling4.json")
if os.path.exists(sc4):
o = json.load(open(sc4))
if o.get("single_inj_per_s"):
macros["lFortySingleInj"] = f"{o['single_inj_per_s']:,.0f}".replace(",", "{,}")
macros["scaleFourAgg"] = f"{o['aggregate_inj_per_s']:,.0f}".replace(",", "{,}")
macros["scaleFourSpeedup"] = fmt(o.get("scaling", 0) or 0, 2)
macros["scaleFourEff"] = fmt((o.get("efficiency", 0) or 0) * 100, 0)
macros["scaleFourNodes"] = str(o.get("n_gpus", 4))
macros["scaleFourUtil"] = fmt(o.get("mean_util", 0), 0)
mg4 = os.path.join(args.root, "multigpu4.json")
if os.path.exists(mg4):
o = json.load(open(mg4))
macros["mgpuFourWorld"] = str(o["world"])
macros["mgpuFourContamNg"] = str(o["contam_corrupt_nodes"])
macros["mgpuFourContamG"] = str(o["contam_guard_nodes"])
# ---------- real two-GPU distributed validation ----------
mg = os.path.join(args.root, "multigpu.json")
if os.path.exists(mg):
o = json.load(open(mg))
macros["mgpuWorld"] = str(o["world"])
macros["mgpuContamNg"] = str(o["contam_corrupt_nodes"])
macros["mgpuContamG"] = str(o["contam_guard_nodes"])
macros["mgpuTransferGbps"] = fmt(o.get("transfer_gbps", 0), 1)
macros["mgpuRankMs"] = fmt(float(np.median(o["corrupt_rank_ms"])), 2)
macros["mgpuFrameMs"] = fmt(o.get("frame_ms_corrupt", 0), 1)
macros["mgpuRenderW"] = str(o["W"])
# ---------- accumulation / redundancy scaling law (theorem support) ----------
accj = os.path.join(args.root, "accumulation", "accumulation.json")
if os.path.exists(accj):
o = json.load(open(accj))
ng = o.get("noguard", []); gd = o.get("guard", [])
def powfit(rows, key):
N = np.array([r["N"] for r in rows], float); y = np.array([r[key] for r in rows], float)
ok = y > 0
a, b = np.polyfit(np.log(N[ok]), np.log(y[ok]), 1)
pred = a * np.log(N[ok]) + b
r2 = 1 - np.sum((np.log(y[ok]) - pred) ** 2) / max(np.sum((np.log(y[ok]) - np.log(y[ok]).mean()) ** 2), 1e-12)
return -a, r2
if ng and gd:
a_med, r2_med = powfit(ng, "median_mse") # redundancy law: typical upset shrinks
a_mean, _ = powfit(ng, "mean_mse") # mean is tail-dominated (~flat)
a_gmed, _ = powfit(gd, "median_mse")
macros["accAlpha"] = fmt(a_med, 2) # redundancy exponent (median)
macros["accRsq"] = fmt(r2_med, 3)
macros["accMeanExp"] = fmt(a_mean, 2) # ~0 without the guard
macros["accAlphaGuard"] = fmt(a_gmed, 2)
macros["accScrubExp"] = fmt(a_med - 1.0, 2)
macros["accGuardFactor"] = fmt(ng[-1]["mean_mse"] / max(gd[-1]["mean_mse"], 1e-30), 0)
spc = ng[0].get("samples", 0)
macros["accSamplesPerCell"] = fmt(spc / 1e6, 1)
tot = sum(r.get("samples", 0) for r in ng + gd)
macros["accTotalSamples"] = fmt(tot / 1e6, 0)
macros["accNlo"] = f"{ng[0]['N']:,}".replace(",", "{,}")
macros["accNhi"] = f"{ng[-1]['N']:,}".replace(",", "{,}")
# ---------- batched-injection throughput (GPU-saturating engine) ----------
bj2 = os.path.join(args.root, "batched", "batched.json")
if os.path.exists(bj2):
o = json.load(open(bj2))
macros["batchInjPerSec"] = f"{o['inj_per_s']:,.0f}".replace(",", "{,}")
macros["batchUtil"] = str(int(round(o["mean_util"])))
macros["batchPower"] = str(int(round(o["mean_power_w"])))
macros["batchB"] = str(o["B"])
macros["batchGaussInst"] = fmt(o["gaussian_instances_per_render"] / 1e6, 1)
# ---------- real-scene generalization macros (E12) ----------
rs = sorted(glob.glob(os.path.join(args.root, "realscene", "realscene_*.json")))
if rs:
o = json.load(open(rs[0]))
macros["realName"] = str(o["name"])
macros["realN"] = f"{o['N']:,}".replace(",", "{,}")
macros["realScaleFootPNN"] = fmt(o.get("scalesign_p99_noguard", 0), 1)
macros["realScaleFootNg"] = fmt(o.get("scalesign_foot_noguard", 0), 2)
macros["realScaleFootG"] = fmt(o.get("scalesign_foot_guard", 0), 2)
macros["realCatNg"] = fmt(o.get("cat_rate_noguard", 0) * 100, 2)
macros["realCatG"] = fmt(o.get("cat_rate_guard", 0) * 100, 3)
# ---------- large-scene stress: guard cost & throughput vs N (E15) ----------
lsj = os.path.join(args.root, "largescene", "largescene.json")
if os.path.exists(lsj):
o = json.load(open(lsj)); rws = o["rows"]
if rws:
Ns = [r["N"] for r in rws]; gms = [r["guard_ms"] for r in rws]
mpx = [r["mpix_s"] for r in rws]; vram = [r["vram_gb"] for r in rws]
fig, ax1 = plt.subplots(figsize=(6.4, 4))
ax1.plot(Ns, gms, "o-", color="#2ca02c"); ax1.set_xscale("log"); ax1.set_yscale("log")
ax1.set_xlabel("primitives $N$"); ax1.set_ylabel("guard cost (ms/frame)", color="#2ca02c")
ax2 = ax1.twinx(); ax2.plot(Ns, mpx, "s--", color="#ff7f0e")
ax2.set_ylabel("render throughput (Mpix/s)", color="#ff7f0e")
ax1.grid(alpha=0.3)
plt.savefig(os.path.join(args.out, "fig_largescene.pdf"), bbox_inches="tight"); plt.close()
big = rws[-1]
macros["maxStressN"] = f"{big['N']/1e6:.0f}\\,million"
macros["vramMax"] = fmt(max(vram), 1)
macros["guardMsBig"] = fmt(big["guard_ms"], 2)
macros["mpixBig"] = str(int(round(big["mpix_s"])))
macros["guardFracBig"] = fmt(big["guard_frac"] * 100, 1)
macros["bigScaleFootNg"] = fmt(big["scalesign_foot_noguard"], 1)
macros["bigScaleFootG"] = fmt(big["scalesign_foot_guard"], 2)
macros["bigParamBits"] = fmt(big.get("param_bits", 0) / 1e9, 0)
macros["guardBwBig"] = str(int(round(big.get("guard_bw_gbs", 0))))
st = o.get("storm")
if st:
macros["stormK"] = f"{st['storm_k']:,}".replace(",", "{,}")
macros["stormN"] = f"{st['N']/1e6:.0f}\\,million"
macros["stormFrames"] = str(st["frames"])
macros["stormLatNg"] = fmt(st["lat_noguard_ms_mean"], 1)
macros["stormLatG"] = fmt(st["lat_guard_ms_mean"], 1)
# ---------- distributed rank timing (E16) ----------
if dfs:
o = json.load(open(dfs[0]))
rt = o.get("rank_timing")
if rt:
macros["rankBarrierClean"] = fmt(rt["clean"]["max_ms"], 2)
macros["rankBarrierCorrupt"] = fmt(rt["corrupt"]["max_ms"], 2)
macros["rankBarrierGuard"] = fmt(rt["guard"]["max_ms"], 2)
macros["rankImbalCorrupt"] = fmt(rt["corrupt"]["imbalance"], 2)
macros["rankImbalGuard"] = fmt(rt["guard"]["imbalance"], 2)
# ---------- safety defaults so the paper always compiles ----------
defaults = {
"totalInjections": "several million", "nScenes": "4", "catThresh": "1",
"scalesSignFootMean": "0.0", "scalesSignFootPNN": "0.0",
"gpuHours": "several GPU-hours", "meanUtil": "70", "theorySlope": "1.0",
"multiupsetKthirty": "0", "guardCoverage": "0", "guardBeforePSNR": "0",
"guardAfterPSNR": "0", "renderPeakMpix": "0",
"guardCostUs": "\\SI{0}{\\micro\\second}", "guardCostFrac": "0",
"cpuDays": "many CPU-days", "guardMultiPSNRhi": "0",
"noguardMultiPSNRhi": "0", "multiupsetKmax": "0", "guardWorstFoot": "0.0",
"guardResidCat": "0", "guardNsites": "0",
"qualFootprint": "0.0", "samplesPerCell": "0", "nDefenses": "5",
"distMaxT": "64", "distFracNg": "0.0", "distFracG": "0.0", "distIoU": "0.0",
"distCommClean": "0.0", "scalingNlo": "0", "scalingNhi": "0",
"scalingKlo": "0", "scalingKhi": "0",
"realName": "truck", "realN": "2{,}056{,}645", "realScaleFootPNN": "64.0",
"realScaleFootNg": "3.00", "realScaleFootG": "0.27", "realCatNg": "0.50",
"realCatG": "0.000",
"maxStressN": "tens of millions", "vramMax": "0.0", "guardMsBig": "0.0",
"mpixBig": "0", "guardFracBig": "0.0", "bigScaleFootNg": "0.0",
"bigScaleFootG": "0.0", "rankBarrierClean": "0.0", "rankBarrierCorrupt": "0.0",
"rankBarrierGuard": "0.0", "rankImbalCorrupt": "0.0", "rankImbalGuard": "0.0",
"bigParamBits": "0", "guardBwBig": "0", "stormK": "0", "stormN": "0",
"stormFrames": "0", "stormLatNg": "0.0", "stormLatG": "0.0",
"batchInjPerSec": "0", "batchUtil": "0", "batchPower": "0", "batchB": "0",
"batchGaussInst": "0.0",
"accAlpha": "0.0", "accRsq": "0.0", "accAlphaGuard": "0.0", "accScrubExp": "0.0",
"accGuardFactor": "0", "accSamplesPerCell": "0.0", "accTotalSamples": "0",
"accNlo": "0", "accNhi": "0", "accMeanExp": "0.0",
"mgpuWorld": "2", "mgpuContamNg": "2", "mgpuContamG": "1", "mgpuTransferGbps": "0.0",
"mgpuRankMs": "0.0", "mgpuFrameMs": "0.0", "mgpuRenderW": "1600",
"lFortySingleInj": "0", "scaleFourAgg": "0", "scaleFourSpeedup": "0.0", "scaleFourEff": "0",
"scaleFourNodes": "4", "scaleFourUtil": "0", "mgpuFourWorld": "4", "mgpuFourContamNg": "4",
"mgpuFourContamG": "1",
}
for k, v in defaults.items():
macros.setdefault(k, v)
# ---------- write numbers.tex ----------
with open(os.path.join(args.out, "numbers.tex"), "w") as f:
for k, v in macros.items():
f.write(f"\\newcommand{{\\{k}}}{{{v}}}\n")
print("MACROS:")
for k, v in macros.items():
print(f" \\{k} = {v}")
print("WROTE", args.out)
if __name__ == "__main__":
main()