research/reports/blend/data/report_numbers.py
Marcin Pawlowski e9b79ce90a
blend: attribution evidence at the reported scale, and a figure for the timing study
Two gaps left by the previous review.

Section 3.4 quoted the attribution bracket at N=20,000 while the only committed
evidence carrying those columns was the timing run at N=2,000, so a reader diffing
report against data saw different numbers for the same quantity. Added
configs/attribution.yaml and a make target: it records both bounds and the graph
hop distance at the reported scale, cheaply, since the adversary and
deanonymization metrics are closed-form and the hop distance is a property of the
topology. It reproduces the section exactly -- L = 2.58 and neighbourhood
confidence 0.640 at degree 8, f_adv 0.2.

It also surfaces a result the smaller run could not: degree cuts both ways. A
sparser graph has longer routes, so it offers the adversary more upstream places
to see the message -- L is 4.18 at degree 4 against 1.93 at degree 16, lifting
neighbourhood confidence from 0.61 to 0.72. The low diameter that makes
propagation fast also starves the adversary, one of the few places where raising
the degree helps anonymity rather than hurting it.

Section 3.11 was the only section without a figure. Fig 25 plots MAP success
against the effective anonymity set for both release designs: the dashed sets
separate far faster than the solid best-guess curves, which is the whole argument
for not trusting perplexity alone.

Co-Authored-By: Claude Opus 5 (1M context) <noreply@anthropic.com>
2026-08-06 18:00:02 +02:00

189 lines
9.8 KiB
Python

"""Regenerate every number the report quotes, with its across-topology standard error.
Run from this directory: python report_numbers.py
Each printed value is mean +- SEM over the independent topology seeds, computed from the
parquets checked in beside this script (see README.md for what each run is).
"""
import itertools
import os
import sys
import numpy as np
import pandas as pd
_here = os.path.dirname(os.path.abspath(__file__))
D = sys.argv[1] if len(sys.argv) > 1 else os.path.join(_here, "default")
R = sys.argv[2] if len(sys.argv) > 2 else os.path.join(_here, "redundancy")
PC = sys.argv[3] if len(sys.argv) > 3 else os.path.join(_here, "percolation")
CC = os.path.join(_here, "correlated-churn")
CT = os.path.join(_here, "cover-traffic")
TM = os.path.join(_here, "timing")
P = pd.read_parquet(D + "/propagation.parquet")
A = pd.read_parquet(D + "/adversary.parquet")
Z = pd.read_parquet(D + "/deanon.parquet")
PR = pd.read_parquet(R + "/propagation.parquet")
ZR = pd.read_parquet(R + "/deanon.parquet")
PP = pd.read_parquet(PC + "/propagation.parquet")
def sem(s):
return s.std(ddof=1) / np.sqrt(s.count()) if s.count() > 1 else np.nan
def cell(df, col):
return df[col].mean(), sem(df[col])
print(f"rounds/cell: default {P.n_rounds.iloc[0]}x{P.graph_seed.nunique()}"
f" | redundancy {PR.n_rounds.iloc[0]}x{PR.graph_seed.nunique()}"
f" | percolation {PP.n_rounds.iloc[0]}x{PP.graph_seed.nunique()}")
print("\n### 3.1 full delay (s), N=1e5 mbd=3 u=0 : mean+-SEM")
b = P[(P.n_nodes == 100000) & (P.max_blend_delay == 3) & (P.unresponsive_frac == 0.0)]
for bh in sorted(b.blend_hops.unique()):
out = []
for d in sorted(b.degree.unique()):
m, e = cell(b[(b.blend_hops == bh) & (b.degree == d)], "full_delay_ms_mean")
out.append(f"d{d}:{m/1000:.2f}+-{e/1000:.3f}")
print(f" bh={bh} " + " ".join(out))
print(" per-hop cost (s) by degree:")
for d in sorted(b.degree.unique()):
g = b[b.degree == d].groupby("blend_hops").full_delay_ms_mean.mean() / 1000
print(f" d={d:<3} 1->2 {g[2]-g[1]:.2f} 2->3 {g[3]-g[2]:.2f} 3->5 {(g[5]-g[3])/2:.2f}")
print("\n### 3.2 composition N=1e5 deg8 bh3 ; and N-scaling")
g = b[(b.degree == 8) & (b.blend_hops == 3)]
for c in ("path_delay_ms_mean", "broadcast_delay_ms_mean", "full_delay_ms_mean",
"cover50_ms", "cover90_ms", "cover99_ms"):
m, e = cell(g, c)
print(f" {c:<24} {m:8.0f} +- {e:.0f} ms")
for n in sorted(P.n_nodes.unique()):
m, e = cell(P[(P.n_nodes == n) & (P.degree == 8) & (P.blend_hops == 3)
& (P.max_blend_delay == 3) & (P.unresponsive_frac == 0)], "full_delay_ms_mean")
print(f" N={n:<8} full {m/1000:.2f}+-{e/1000:.3f} s")
print(" cover99 by degree (N=1e5,bh3):",
{int(d): round(b[(b.degree == d) & (b.blend_hops == 3)].cover99_ms.mean())
for d in sorted(b.degree.unique())})
print("\n### 3.3 observed / eclipsed (exact) N=1e5 random")
ab = A[(A.n_nodes == 100000) & (A.adversary_mode == "random")]
print(ab.groupby(["f_adv", "degree"]).observed_frac.mean().unstack().round(3).to_string())
print(ab.groupby(["f_adv", "degree"]).eclipsed_frac.mean().unstack().round(4).to_string())
print(" random vs worstcase_coverage observed, AT DEGREE 8 (not averaged over degrees):")
wc = A[(A.n_nodes == 100000) & (A.degree == 8)
& A.adversary_mode.isin(["random", "worstcase_coverage"])]
print(wc.groupby(["f_adv", "adversary_mode"]).observed_frac.mean().unstack().round(3).to_string())
print(" ...and eclipse random vs worstcase_eclipse at degree 4:")
we = A[(A.n_nodes == 100000) & (A.degree == 4)
& A.adversary_mode.isin(["random", "worstcase_eclipse"])]
print(we.groupby(["f_adv", "adversary_mode"]).eclipsed_frac.mean().unstack().round(4).to_string())
print("\n### 3.4 deanon (exact) N=1e5 random deg8 : deanon_rate by f_adv x hops")
zz = Z[(Z.n_nodes == 100000) & (Z.adversary_mode == "random") & (Z.degree == 8)]
print(zz.groupby(["f_adv", "blend_hops"]).deanon_rate.mean().unstack().round(5).to_string())
print(" full_deanon vs degree (bh=2):")
print(Z[(Z.n_nodes == 100000) & (Z.adversary_mode == "random") & (Z.blend_hops == 2)]
.groupby(["f_adv", "degree"]).full_deanon_rate.mean().unstack().round(4).to_string())
print("\n### 3.5 delivery (N=1e5 deg8 mbd3): mean+-SEM [theory (1-u)^bh]")
dv = P[(P.n_nodes == 100000) & (P.degree == 8) & (P.max_blend_delay == 3)]
for bh in sorted(dv.blend_hops.unique()):
out = []
for u in sorted(dv.unresponsive_frac.unique()):
if u == 0:
continue
m, e = cell(dv[(dv.blend_hops == bh) & (dv.unresponsive_frac == u)], "delivery_rate")
out.append(f"u{u}:{m:.3f}+-{e:.3f}[{(1-u)**bh:.3f}]")
print(f" bh={bh} " + " ".join(out))
print("\n### 3.5 coverage (N=1e5 bh1 mbd3): mean+-SEM")
cc = P[(P.n_nodes == 100000) & (P.blend_hops == 1) & (P.max_blend_delay == 3)]
for d in sorted(cc.degree.unique()):
out = []
for u in (0.2, 0.3, 0.5):
m, e = cell(cc[(cc.degree == d) & (cc.unresponsive_frac == u)], "frac_reached")
out.append(f"u{u}:{m:.4f}+-{e:.4f}")
print(f" deg={d:<3} " + " ".join(out))
print("\n### 3.5 PERCOLATION run: coverage vs u (N=1e5, bh=1); u_c = 1-1/(d-1)")
for d in sorted(PP.degree.unique()):
uc = 1 - 1 / (d - 1)
g = PP[PP.degree == d].groupby("unresponsive_frac").frac_reached.mean()
print(f" deg={d:<3} u_c={uc:.2f} " + " ".join(f"{u:.1f}:{v:.3f}" for u, v in g.items()))
print("\n### 3.8 REDUNDANCY: delivery vs R (N=20k deg8 bh3): mean+-SEM [1-(1-p1)^R]")
pr = PR[(PR.degree == 8) & (PR.blend_hops == 3)]
for u in sorted(pr.unresponsive_frac.unique()):
if u == 0:
continue
p1 = pr[(pr.unresponsive_frac == u) & (pr.redundancy == 1)].delivery_rate.mean()
out, vals = [], []
for Rn in (1, 2, 3, 4):
m, e = cell(pr[(pr.unresponsive_frac == u) & (pr.redundancy == Rn)], "delivery_rate")
vals.append(m)
out.append(f"R{Rn}:{m:.3f}+-{e:.3f}[{1-(1-p1)**Rn:.3f}]")
mono = all(y >= x - 1e-9 for x, y in itertools.pairwise(vals))
print(f" u={u} " + " ".join(out) + ("" if mono else " <<< NON-MONOTONIC"))
print(" coverage vs R (should be flat -- no union bonus):")
for d in sorted(PR.degree.unique()):
for u in (0.3, 0.5):
g = PR[(PR.degree == d) & (PR.blend_hops == 1) & (PR.unresponsive_frac == u)]
print(f" deg={d} u={u}: " +
" ".join(f"R{Rn}:{g[g.redundancy==Rn].frac_reached.mean():.4f}" for Rn in (1, 2, 3, 4)))
print(" deanon vs R (exact, N=20k deg8 bh3 f=0.2 random):")
zr = ZR[(ZR.degree == 8) & (ZR.blend_hops == 3) & (ZR.f_adv == 0.2)
& (ZR.adversary_mode == "random")]
print(zr.groupby("redundancy")[["deanon_rate", "full_deanon_rate"]].mean().round(4).to_string())
# --- 3.9 correlated outages ----------------------------------------------------------------------
CCP = pd.read_parquet(CC + "/propagation.parquet")
print("\n### 3.9 correlated vs uniform churn (N=20k, 1 hop): live / all-node coverage, delivery")
for deg in sorted(CCP.degree.unique()):
d = CCP[(CCP.degree == deg) & (CCP.blend_hops == 1)]
for u in sorted(d.unresponsive_frac.unique()):
if u == 0:
continue
r = {m: d[(d.unresponsive_frac == u) & (d.churn_mode == m)] for m in ("uniform", "regional")}
print(f" deg={deg:<3} u={u:.1f} live {r['uniform'].frac_reached_live.mean():.3f} ->"
f" {r['regional'].frac_reached_live.mean():.3f} | all"
f" {r['uniform'].frac_reached.mean():.3f} -> {r['regional'].frac_reached.mean():.3f}"
f" | delivery {r['uniform'].delivery_rate.mean():.3f} ->"
f" {r['regional'].delivery_rate.mean():.3f}")
# --- 3.10 cover traffic --------------------------------------------------------------------------
CTT = pd.read_parquet(CT + "/traffic.parquet")
print("\n### 3.10 blending / mixing vs cover rate and release delay")
print(CTT.pivot_table(index="cover_rate_mult", columns="max_blend_delay",
values="blending_mean").round(1).to_string())
print(" mixing (mean concurrent holds):")
print(CTT.pivot_table(index="cover_rate_mult", columns="max_blend_delay",
values="queue_mean").round(4).to_string())
print("\n### 3.10 emission-quota stake ceiling vs cover rate")
q = CTT.groupby("cover_rate_mult").agg(
quota=("quota_per_epoch", "mean"), pred=("s_max_predicted", "mean"),
safe=("alpha_max_99", "mean"), hi=("max_compliant_stake", "mean"),
lo=("min_overrun_stake", "mean"), comp=("compliant_frac", "mean")).reset_index()
print(q.to_string(index=False, float_format=lambda v: f"{v:.5f}"))
# --- 3.11 timing ---------------------------------------------------------------------------------
TMT = pd.read_parquet(TM + "/traffic.parquet")
print("\n### 3.11 timing: release designs at a matched delay budget (min_blend_delay = 0)")
t = TMT[TMT.min_blend_delay == 0].groupby(["cover_rate_mult", "release_mode"]).agg(
hold=("hold_seconds_mean", "mean"), eff_set=("timing_set_mean", "mean"),
linked=("timing_linked_frac", "mean"), map_success=("map_success", "mean")).reset_index()
print(t.to_string(index=False, float_format=lambda v: f"{v:.3f}"))
print(" minimum-interval control (clock):")
m = TMT[TMT.release_mode == "clock"].groupby("min_blend_delay").agg(
hold=("hold_seconds_mean", "mean"), map_success=("map_success", "mean")).reset_index()
print(m.to_string(index=False, float_format=lambda v: f"{v:.3f}"))
# --- 3.4 attribution bracket ---------------------------------------------------------------------
AT = os.path.join(_here, "attribution")
print("\n### 3.4 attribution bracket (N=20k, random placement)")
AD = pd.read_parquet(AT + "/deanon.parquet")
a = AD[AD.adversary_mode == "random"].groupby(["degree", "f_adv"]).agg(
observed=("observed_frac", "mean"), local_mean=("attribution_conf_mean", "mean"),
attributable_90=("attributable_frac_90", "mean"), upstream=("upstream_hops", "mean"),
neighbourhood=("neighbourhood_conf", "mean")).reset_index()
print(a.to_string(index=False, float_format=lambda v: f"{v:.5f}"))