Datasets:
Formats:
parquet
Size:
1M - 10M
Tags:
gaussian-splatting
fault-tolerance
single-event-upset
reliability
radiance-fields
computer-graphics
License:
| """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() | |