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"""Recompute every WER aggregate reported in the paper from a single
JSON file of per-cell WERs (``wer_results.json``, shipped alongside
this script).
This script is self-contained: it reads only the per-cell WER values
from the JSON and re-derives every table and figure number in the
paper that depends on those WERs alone. Quantities that need inputs
beyond the per-cell WER table -- the per-utterance paired-bootstrap
significance markers in Table~\\ref{tab:main160}, or convergence-epoch
counts taken from the training logs -- are out of scope here and are
not recomputed.
Each check below is keyed to a stable LaTeX ``\\label`` (its ``\\ref``
target), which does not change if the paper is reordered; the ``[N]``
markers are just this script's own output tags, not paper section
numbers:
[1] tab:main160 FLEURS WER (%) @ 160 ms, per-(lang, hours).
[2] sec:hours intro seen / unseen group mean Δ trajectory.
[3] tab:latency_effect mean EN-ML gap per (tier, hours), FLEURS.
[4] tab:abs_wer mean ML-init absolute WER per (tier, hours).
[5] tab:lst per-lang Δ + LST per hours; macro mean.
[6] sec:from_pl HR-from-PL pivot vs direct ML, 160 ms.
[7] sec:reinitjoint joiner-reinit Δ, 560 ms FLEURS/VP.
[8] tab:quant INT4 vs FP32 @ 560 ms FLEURS, paired stats.
[9] tab:5000h_es ES 5000h vs 2500h ML deltas, and ES 5000h
vs Nemotron-3.5 ML (tab:supp:es5000h).
[10] fig:gap_powerlaw fit Δ(h) = a·h^(-β) at 160 ms;
language-bootstrap 95% CI on β; R².
[11] tab:hybrid hybrid-encoder 100h/560ms FLEURS table.
[12] tab:seed + sec:seed HR/PT main-grid seed deltas + 16-cell 100h
re-run @ 560 ms (FLEURS + VP); IS-EN excursion.
[13] streaming penalty per (tier, hours, init), FLEURS.
[14] tab:per_dataset per-dataset 160 ms WER appendix.
Usage:
# with wer_results.json sitting next to this script:
python3 aggregate.py
# or pass an explicit path to a results JSON:
python3 aggregate.py /path/to/wer_results.json
"""
from __future__ import annotations
import json
import statistics
import sys
from pathlib import Path
HERE = Path(__file__).resolve().parent
# Default to wer_results.json sitting next to this script; fall back to
# the in-repository ``paper/`` layout when run from a full checkout.
DEFAULT_JSON = next(
(p for p in (HERE / "wer_results.json",
HERE.parent / "paper" / "wer_results.json")
if p.is_file()),
HERE / "wer_results.json",
)
LANGS = ["de", "es", "fr", "hr", "is", "nl", "pl", "pt"]
SEEN = ["de", "es", "fr", "nl"]
UNSEEN = ["pt", "hr", "is", "pl"]
HOURS = ["100h", "250h", "500h", "1000h", "2500h"]
TIERS = ["160ms", "560ms", "1120ms", "offline"]
# ---------------------------------------------------------------------------
# JSON helpers
# ---------------------------------------------------------------------------
def wer(d, lang, hours, init, tier, dataset):
"""Return the WER (float) at d[lang][hours][init][tier][dataset], or None."""
try:
cell = d[lang][hours][init][tier][dataset]
if isinstance(cell, dict):
v = cell.get("wer")
return float(v) if v is not None else None
except (KeyError, TypeError):
pass
return None
def delta(d, lang, hours, tier, dataset):
"""EN - ML WER gap; None if either side missing."""
ml = wer(d, lang, hours, "ml", tier, dataset)
en = wer(d, lang, hours, "enc", tier, dataset)
if ml is None or en is None:
return None
return en - ml
def fmt(x, signed=False, w=7):
if x is None:
return f"{'--':>{w}s}"
return f"{x:+{w}.2f}" if signed else f"{x:{w}.2f}"
def mean(xs):
xs = [x for x in xs if x is not None]
return statistics.fmean(xs) if xs else None
def hr(title):
print()
print("=" * 78)
print(title)
print("=" * 78)
# ---------------------------------------------------------------------------
# [1] Table :main160 — FLEURS WER (%) at 160 ms streaming, per-(lang, hours)
# ---------------------------------------------------------------------------
def t_main160(d):
hr("[1] Table tab:main160 — FLEURS WER (%) @ 160 ms")
head = "lang " + "".join(f"{h:>27s}" for h in HOURS)
print(head)
sub = " " + "".join(f"{'ml':>9s}{'enc':>9s}{'Δ':>9s}" for _ in HOURS)
print(sub)
for lang in LANGS:
row = f"{lang.upper():<6s}"
for h in HOURS:
ml = wer(d, lang, h, "ml", "160ms", "fleurs")
en = wer(d, lang, h, "enc", "160ms", "fleurs")
dl = (en - ml) if (ml is not None and en is not None) else None
row += fmt(ml, w=9) + fmt(en, w=9) + fmt(dl, signed=True, w=9)
print(row)
print("-" * len(head))
# macro means
row = f"{'mean':<6s}"
for h in HOURS:
mls = [wer(d, l, h, "ml", "160ms", "fleurs") for l in LANGS]
ens = [wer(d, l, h, "enc", "160ms", "fleurs") for l in LANGS]
dls = [(e - m) for m, e in zip(mls, ens) if m is not None and e is not None]
row += fmt(mean(mls), w=9) + fmt(mean(ens), w=9) \
+ fmt(mean(dls) if dls else None, signed=True, w=9)
print(row)
n_per_h = {h: sum(1 for l in LANGS
if wer(d, l, h, "ml", "160ms", "fleurs") is not None
and wer(d, l, h, "enc", "160ms", "fleurs") is not None)
for h in HOURS}
print(" K per hours: " + ", ".join(f"{h}={n_per_h[h]}" for h in HOURS))
# ---------------------------------------------------------------------------
# [2] sec:hours — seen / unseen group mean Δ trajectory, FLEURS @ 160 ms
# ---------------------------------------------------------------------------
def t_seen_unseen(d):
hr("[2] sec:hours — seen vs unseen group mean Δ, FLEURS @ 160 ms")
print(f" {'group':<10s}" + "".join(f"{h:>10s}" for h in HOURS))
for label, group in (("seen", SEEN), ("unseen", UNSEEN), ("all", LANGS)):
row = f" {label:<10s}"
for h in HOURS:
dls = [delta(d, l, h, "160ms", "fleurs") for l in group]
row += fmt(mean(dls), signed=True, w=10)
print(row)
# ---------------------------------------------------------------------------
# [3] Table :latency_effect — mean EN-ML gap per (tier, hours), FLEURS
# ---------------------------------------------------------------------------
def t_latency_effect(d):
hr("[3] Table tab:latency_effect — mean Δ (EN-ML) per (tier, hours), FLEURS")
print(f" {'tier':<10s}" + "".join(f"{h:>10s}" for h in HOURS)
+ f"{'range':>10s}")
per_h = {h: [] for h in HOURS}
for tier in TIERS:
row = f" {tier:<10s}"
for h in HOURS:
dls = [delta(d, l, h, tier, "fleurs") for l in LANGS]
m = mean(dls)
per_h[h].append(m)
row += fmt(m, signed=True, w=10)
print(row)
# cross-tier range of mean Δ at each hours (paper sentence)
print(f" {'tier-range':<10s}", end="")
for h in HOURS:
vs = [v for v in per_h[h] if v is not None]
rng = max(vs) - min(vs) if vs else None
print(fmt(rng, w=10), end="")
print()
# ---------------------------------------------------------------------------
# [4] Table :abs_wer — mean ML-init absolute FLEURS WER per (tier, hours)
# ---------------------------------------------------------------------------
def t_abs_wer(d):
hr("[4] Table tab:abs_wer — mean ML-init FLEURS WER (%) per (tier, hours)")
print(f" {'tier':<10s}" + "".join(f"{h:>10s}" for h in HOURS))
for tier in TIERS:
row = f" {tier:<10s}"
for h in HOURS:
mls = [wer(d, l, h, "ml", tier, "fleurs") for l in LANGS]
row += fmt(mean(mls), w=10)
print(row)
# ---------------------------------------------------------------------------
# [5] Table :lst — per-lang Δ + LST per hours; macro mean
# LST(lang, h) = max_tier Δ_tier(lang, h) - min_tier Δ_tier(lang, h)
# Δ(lang, h) = mean_tier Δ_tier(lang, h)
# Both are taken over the THREE streaming tiers only (160/560/1120 ms);
# offline is excluded by definition (eq. lst / Table tab:lst caption).
# ---------------------------------------------------------------------------
def t_lst(d):
hr("[5] Table tab:lst — per-lang Δ , LST on FLEURS (per hours)")
stream_tiers = ["160ms", "560ms", "1120ms"] # LST excludes offline
h_show = ["100h", "250h", "500h", "1000h"] # paper omits 2500h here
head = f" {'lang':<6s}" + "".join(f"{h:>20s}" for h in h_show)
print(head)
print(f" {'':<6s}" + "".join(f"{'Δ':>10s}{'LST':>10s}" for _ in h_show))
barD = {h: [] for h in h_show}
lst = {h: [] for h in h_show}
for lang in LANGS:
row = f" {lang.upper():<6s}"
for h in h_show:
ds = [delta(d, lang, h, t, "fleurs") for t in stream_tiers]
ds = [x for x in ds if x is not None]
if not ds:
row += fmt(None, w=10) + fmt(None, w=10); continue
bd = sum(ds) / len(ds)
ls = max(ds) - min(ds)
barD[h].append(bd); lst[h].append(ls)
row += fmt(bd, signed=True, w=10) + fmt(ls, w=10)
print(row)
print(" " + "-" * 76)
row = f" {'mean':<6s}"
for h in h_show:
row += fmt(mean(barD[h]), signed=True, w=10) + fmt(mean(lst[h]), w=10)
print(row)
# ---------------------------------------------------------------------------
# [6] Sec :from_pl — HR-from-PL pivot vs direct ML, 160 ms FLEURS/VP
# ---------------------------------------------------------------------------
def t_from_pl(d):
hr("[6] Sec sec:from_pl — HR PL-pivot vs direct ML (160 ms)")
rows = ["100h", "250h", "500h", "1000h"]
print(f" {'hours':<6s}{'direct ml FL':>14s}{'pivot ml FL':>14s}{'Δ FL':>8s}"
f"{'direct ml VP':>14s}{'pivot ml VP':>14s}{'Δ VP':>8s}")
for h in rows:
dml_fl = wer(d, "hr", h, "ml", "160ms", "fleurs")
piv_fl = wer(d, "hr", h, "from_pl_ml", "160ms", "fleurs")
dml_vp = wer(d, "hr", h, "ml", "160ms", "voxpopuli")
piv_vp = wer(d, "hr", h, "from_pl_ml", "160ms", "voxpopuli")
dfl = (piv_fl - dml_fl) if (dml_fl is not None and piv_fl is not None) else None
dvp = (piv_vp - dml_vp) if (dml_vp is not None and piv_vp is not None) else None
print(f" {h:<6s}{fmt(dml_fl,w=14)}{fmt(piv_fl,w=14)}{fmt(dfl,signed=True,w=8)}"
f"{fmt(dml_vp,w=14)}{fmt(piv_vp,w=14)}{fmt(dvp,signed=True,w=8)}")
# PL(EN) pivot only at 100h
piv_en_fl = wer(d, "hr", "100h", "from_pl_enc", "160ms", "fleurs")
den_fl = wer(d, "hr", "100h", "enc", "160ms", "fleurs")
if piv_en_fl is not None and den_fl is not None:
print(f" PL(EN) pivot @100h FLEURS: direct enc={den_fl:.2f} "
f"pivot={piv_en_fl:.2f} Δ={piv_en_fl - den_fl:+.2f} pp")
# ---------------------------------------------------------------------------
# [7] Sec :reinitjoint — joiner re-init Δ at 100 h, 560 ms FLEURS/VP
# ---------------------------------------------------------------------------
def t_reinitjoint(d):
hr("[7] Sec sec:reinitjoint — joiner-reinit Δ vs baseline @ 100h, 560 ms")
deltas_fl = {"ml": [], "enc": []}
deltas_vp = {"ml": [], "enc": []}
rows = []
for lang in LANGS:
for init in ("ml", "enc"):
base_fl = wer(d, lang, "100h", init, "560ms", "fleurs")
rj_fl = wer(d, lang, "100h", f"{init}_reinitjoint", "560ms", "fleurs")
base_vp = wer(d, lang, "100h", init, "560ms", "voxpopuli")
rj_vp = wer(d, lang, "100h", f"{init}_reinitjoint", "560ms", "voxpopuli")
dfl = (rj_fl - base_fl) if (base_fl is not None and rj_fl is not None) else None
dvp = (rj_vp - base_vp) if (base_vp is not None and rj_vp is not None) else None
if dfl is not None: deltas_fl[init].append(dfl)
if dvp is not None: deltas_vp[init].append(dvp)
rows.append((lang, init, dfl, dvp))
if not (deltas_fl["ml"] or deltas_fl["enc"]):
print(" (no reinitjoint cells found in JSON)")
return
print(f" {'lang':<4s} {'init':<4s} {'Δ FL':>8s} {'Δ VP':>8s}")
for lang, init, dfl, dvp in rows:
print(f" {lang:<4s} {init:<4s} {fmt(dfl,signed=True,w=8)} {fmt(dvp,signed=True,w=8)}")
all_fl = deltas_fl["ml"] + deltas_fl["enc"]
all_vp = deltas_vp["ml"] + deltas_vp["enc"]
hurt_fl = sum(1 for x in all_fl if x > 0)
hurt_vp = sum(1 for x in all_vp if x > 0)
print(f"\n mean Δ FL (all 16): {mean(all_fl):+0.2f} pp ({hurt_fl}/{len(all_fl)} hurt)")
print(f" mean Δ FL (ml arm): {mean(deltas_fl['ml']):+0.2f} pp")
print(f" mean Δ FL (enc arm):{mean(deltas_fl['enc']):+0.2f} pp")
print(f" mean Δ VP (all): {mean(all_vp):+0.2f} pp ({hurt_vp}/{len(all_vp)} hurt)")
print(f" mean Δ VP (ml arm): {mean(deltas_vp['ml']):+0.2f} pp")
print(f" mean Δ VP (enc arm):{mean(deltas_vp['enc']):+0.2f} pp")
if deltas_fl["enc"] and deltas_fl["ml"]:
worst_enc = max(rows, key=lambda r: r[2] if r[1] == "enc" and r[2] is not None else -1)
worst_ml = max(rows, key=lambda r: r[2] if r[1] == "ml" and r[2] is not None else -1)
print(f" worst Δ FL enc: {worst_enc[0]}-{worst_enc[1]} {worst_enc[2]:+0.2f}")
print(f" worst Δ FL ml: {worst_ml[0]}-{worst_ml[1]} {worst_ml[2]:+0.2f}")
# ---------------------------------------------------------------------------
# [8] Table :quant — INT4 vs FP32 @ 560 ms FLEURS
# ---------------------------------------------------------------------------
def t_quant(d):
hr("[8] Table tab:quant — INT4 vs FP32 @ 560 ms FLEURS")
rows = {h: {"ml": [], "enc": []} for h in HOURS}
all_cells = [] # (lang, hours, init, Δ_int4-fp32)
paired = [] # (lang, hours, Δ_ml, Δ_enc)
for h in HOURS:
per_lang_paired = {}
for lang in LANGS:
for init in ("ml", "enc"):
i4 = wer(d, lang, h, init, "560ms", "fleurs_int4")
f3 = wer(d, lang, h, init, "560ms", "fleurs_fp32")
if i4 is None or f3 is None:
continue
dq = i4 - f3
rows[h][init].append(dq)
all_cells.append((lang, h, init, dq))
per_lang_paired.setdefault(lang, {})[init] = dq
for lang, cells in per_lang_paired.items():
if "ml" in cells and "enc" in cells:
paired.append((lang, h, cells["ml"], cells["enc"]))
print(f" {'hours':<6s}{'Δ_ml':>9s}{'n_ml':>6s}{'Δ_enc':>9s}{'n_enc':>6s}")
for h in HOURS:
ml = rows[h]["ml"]; en = rows[h]["enc"]
print(f" {h:<6s}{fmt(mean(ml),signed=True,w=9)}{len(ml):>6d}"
f"{fmt(mean(en),signed=True,w=9)}{len(en):>6d}")
# pooled stats over all (lang, hours, init)
dq_all = [c[3] for c in all_cells]
if dq_all:
dq_sorted = sorted(dq_all)
med = statistics.median(dq_sorted)
n = len(dq_all)
within05 = sum(1 for x in dq_all if abs(x) <= 0.5)
within10 = sum(1 for x in dq_all if abs(x) <= 1.0)
worse = sum(1 for x in dq_all if x > 0)
better = sum(1 for x in dq_all if x < 0)
print()
print(f" pooled (n={n}): mean={mean(dq_all):+0.2f} median={med:+0.2f}"
f" range=[{min(dq_all):+0.2f},{max(dq_all):+0.2f}]")
print(f" |Δ| ≤ 0.5 pp: {within05}/{n} |Δ| ≤ 1.0 pp: {within10}/{n}")
print(f" INT4 worse than FP32: {worse}/{n} INT4 better: {better}/{n}")
# paired ML vs EN quant cost
if paired:
diffs = [p[3] - p[2] for p in paired] # Δ_enc - Δ_ml
enc_costlier = sum(1 for x in diffs if x > 0)
print(f"\n paired ML vs EN (same lang, same hours, n={len(paired)}):")
print(f" mean (Δ_enc - Δ_ml) = {mean(diffs):+0.2f} pp")
print(f" EN costlier than ML in {enc_costlier}/{len(paired)} cells")
print(f" range = [{min(diffs):+0.2f}, {max(diffs):+0.2f}] pp")
# 100h breakdown (paper says 'weakest at 100h, EN costlier in 5 of 8')
for h in HOURS:
sub = [(p[2], p[3]) for p in paired if p[1] == h]
if not sub:
continue
sub_diffs = [b - a for a, b in sub]
print(f" {h}: paired n={len(sub)} mean Δ_enc-Δ_ml={mean(sub_diffs):+0.2f}"
f" EN costlier in {sum(1 for x in sub_diffs if x > 0)}/{len(sub)}")
# ---------------------------------------------------------------------------
# [9] ES 5000h ML deltas vs ES 2500h ML (tab:5000h_es), plus ES 5000h ML
# vs the Nemotron-3.5 ML baseline (tab:supp:es5000h); all four test
# sets, 560 ms streaming.
# ---------------------------------------------------------------------------
def t_es_5000h(d):
if "5000h" not in d.get("es", {}):
return
hr("[9] Sec sec:hours — ES 5000h vs 2500h ML, 560 ms streaming")
for dataset in ("fleurs", "cv", "mls", "voxpopuli"):
a = wer(d, "es", "5000h", "ml", "560ms", dataset)
b = wer(d, "es", "2500h", "ml", "560ms", dataset)
delta_ = (a - b) if (a is not None and b is not None) else None
print(f" {dataset:<10s} 5000h={fmt(a)} 2500h={fmt(b)}"
f" Δ={fmt(delta_, signed=True)}")
# tab:supp:es5000h — ES 5000h (ML) vs contemporaneous Nemotron-3.5 ML
# baseline, 560 ms streaming. Δ = WER_5000h − WER_Nemotron (negative:
# our 5000h model better).
if "nvidia-nemotron-3.5-asr" in d.get("es", {}).get("5000h", {}):
print(" -- tab:supp:es5000h — ES 5000h (ML) vs Nemotron-3.5 ML:")
for dataset in ("fleurs", "cv", "mls", "voxpopuli"):
a = wer(d, "es", "5000h", "ml", "560ms", dataset)
n = wer(d, "es", "5000h", "nvidia-nemotron-3.5-asr", "560ms", dataset)
delta_ = (a - n) if (a is not None and n is not None) else None
print(f" {dataset:<10s} 5000h={fmt(a)} nemotron={fmt(n)}"
f" Δ={fmt(delta_, signed=True)}")
# ---------------------------------------------------------------------------
# [10] fig:gap_powerlaw — fit Δ(h) = a · h^(-β) on the 160 ms macro means
# with a language-bootstrap 95% CI on β.
# ---------------------------------------------------------------------------
def t_powerlaw(d, B=10000, seed=0):
hr("[10] fig:gap_powerlaw — transfer-gap power-law fit (160 ms FLEURS)")
import math
import random as _rand
rng = _rand.Random(seed)
hours_int = [int(h[:-1]) for h in HOURS]
def fit(deltas_by_h):
"""Return (β, log_a, R²) from least-squares fit on log(h) vs log(Δ)
across hours where Δ > 0 (so log is defined)."""
xs, ys = [], []
for h, dl in zip(hours_int, deltas_by_h):
if dl is None or dl <= 0:
continue
xs.append(math.log(h)); ys.append(math.log(dl))
if len(xs) < 2:
return None, None, None
n = len(xs)
mx = sum(xs)/n; my = sum(ys)/n
sxy = sum((x-mx)*(y-my) for x, y in zip(xs, ys))
sxx = sum((x-mx)**2 for x in xs)
if sxx == 0:
return None, None, None
slope = sxy / sxx # = -β
intercept = my - slope * mx
beta = -slope
# R²
syy = sum((y-my)**2 for y in ys)
if syy == 0:
r2 = 1.0
else:
ss_res = sum((y - (slope*x + intercept))**2 for x, y in zip(xs, ys))
r2 = 1 - ss_res/syy
return beta, intercept, r2
# point estimate from the full 8-lang macro means
macro = [mean([delta(d, l, h, "160ms", "fleurs") for l in LANGS]) for h in HOURS]
beta, log_a, r2 = fit(macro)
if beta is None:
print(" (insufficient points for power-law fit)")
return
print(f" hours mean Δ (160 ms FLEURS)")
for h, m in zip(HOURS, macro):
print(f" {h:<8s} {fmt(m, signed=True)}")
print(f"\n β_TG = {beta:.3f} R² = {r2:.4f} "
f"(fit on log Δ vs log h, where Δ>0)")
# language-bootstrap CI: resample 8 languages with replacement, recompute
# macro means per hours, refit, collect β.
betas = []
n_lang = len(LANGS)
for _ in range(B):
sample = [LANGS[rng.randrange(n_lang)] for _ in range(n_lang)]
ms = [mean([delta(d, l, h, "160ms", "fleurs") for l in sample]) for h in HOURS]
b, _, _ = fit(ms)
if b is not None and math.isfinite(b):
betas.append(b)
if betas:
betas.sort()
lo = betas[int(0.025 * len(betas))]
hi = betas[int(0.975 * len(betas))]
frac_below = sum(1 for b in betas if b < 0.5) / len(betas)
print(f" language-bootstrap 95% CI on β (B={B}): [{lo:.2f}, {hi:.2f}]")
print(f" P(β < 0.5) = {frac_below:.4f} ({100 * frac_below:.2f}%)")
# off-tier residuals (paper Fig. fig:gap_powerlaw caption: 0.23/0.29/0.13 pp)
import math as _m
print("\n Off-tier residuals against the 160 ms-fitted curve:")
for tier in ("560ms", "1120ms", "offline"):
mac = [mean([delta(d, l, h, tier, "fleurs") for l in LANGS]) for h in HOURS]
res = []
for h, m in zip(hours_int, mac):
if m is None or m <= 0:
continue
pred = _m.exp(log_a + (-beta) * _m.log(h))
res.append((m - pred) ** 2)
if res:
rms = (sum(res) / len(res)) ** 0.5
print(f" {tier:<8s} RMS={rms:.2f} pp (n={len(res)})")
# ---------------------------------------------------------------------------
# [11] tab:hybrid — hybrid-encoder, 100h training, 560 ms FLEURS
# Splices: hybrid_0to12 / hybrid_last / hybrid_first / hybrid_middle
# Reference rows are seed-45 ml / enc (paper: same common seed).
# ---------------------------------------------------------------------------
def t_hybrid(d):
hr("[11] tab:hybrid — hybrid encoder @ 100h, 560 ms FLEURS")
rows = [
("ML (s45)", "ml_s45"),
("0:12", "hybrid_0to12"),
("last", "hybrid_last"),
("first", "hybrid_first"),
("middle", "hybrid_middle"),
("EN (s45)", "enc_s45"),
]
# header
print(f" {'row':<10s}" + "".join(f"{l.upper():>7s}" for l in LANGS)
+ f"{'mean':>9s}{'Δ vs ML':>10s}")
ml_row = None
table = []
for label, init in rows:
cells = [wer(d, l, "100h", init, "560ms", "fleurs") for l in LANGS]
mn = mean(cells)
table.append((label, init, cells, mn))
if init == "ml_s45":
ml_row = cells
for label, init, cells, mn in table:
if ml_row is None or any(c is None for c in cells) or any(m is None for m in ml_row):
d_vs_ml = None
else:
pairwise = [c - m for c, m in zip(cells, ml_row)]
d_vs_ml = sum(pairwise) / len(pairwise)
row = f" {label:<10s}" + "".join(fmt(c, w=7) for c in cells) + fmt(mn, w=9)
row += fmt(d_vs_ml, signed=True, w=10) if d_vs_ml is not None else f"{'--':>10s}"
print(row)
# seen / unseen group means
print("\n group means:")
for label, init, cells, _ in table:
seen_m = mean([wer(d, l, "100h", init, "560ms", "fleurs") for l in SEEN])
unseen_m = mean([wer(d, l, "100h", init, "560ms", "fleurs") for l in UNSEEN])
print(f" {label:<10s} seen={fmt(seen_m, w=7)} unseen={fmt(unseen_m, w=7)}")
# ---------------------------------------------------------------------------
# [12] tab:seed + sec:seed — seed comparison
# (a) HR/PT main-grid 160 ms FLEURS + VP, default seed vs seed 45
# (b) 16-cell 100h re-run @ 560 ms across all 8 langs × 2 inits;
# stats: mean |Δ|, median, max on FLEURS and VP
# (c) HR-100h FLEURS swing collapse at 560 ms
# (d) Largest seed-induced EN-ML gap excursion (IS at 100h)
# ---------------------------------------------------------------------------
def t_seed(d):
hr("[12] tab:seed + sec:seed — seed-default vs seed-45")
# (a) HR / PT main grid at 160 ms FLEURS + VP
print(" (a) HR / PT main-grid FLEURS@160ms and VP@160ms seed deltas:")
print(f" {'lang':<4s}{'init':<5s}{'hours':<6s}"
f"{'FL_s1':>8s}{'FL_s2':>8s}{'ΔFL':>8s}"
f"{'VP_s1':>8s}{'VP_s2':>8s}{'ΔVP':>8s}")
fl_abs, vp_abs = [], []
rows = []
for lang in ("hr", "pt"):
for init in ("ml", "enc"):
for h in HOURS:
a_fl = wer(d, lang, h, init, "160ms", "fleurs")
b_fl = wer(d, lang, h, init+"_s45","160ms", "fleurs")
a_vp = wer(d, lang, h, init, "160ms", "voxpopuli")
b_vp = wer(d, lang, h, init+"_s45","160ms", "voxpopuli")
if a_fl is None or b_fl is None:
continue
dfl = b_fl - a_fl
dvp = (b_vp - a_vp) if (a_vp is not None and b_vp is not None) else None
fl_abs.append(abs(dfl))
if dvp is not None: vp_abs.append(abs(dvp))
rows.append((lang, init, h, dfl, dvp))
print(f" {lang:<4s}{init:<5s}{h:<6s}"
f"{a_fl:>8.2f}{b_fl:>8.2f}{dfl:>+8.2f}"
f"{fmt(a_vp,w=8)}{fmt(b_vp,w=8)}{fmt(dvp,signed=True,w=8)}")
if fl_abs:
print(f"\n mean |ΔFL| = {sum(fl_abs)/len(fl_abs):.2f} pp"
f" (n={len(fl_abs)}, max={max(fl_abs):.2f})")
if vp_abs:
print(f" mean |ΔVP| = {sum(vp_abs)/len(vp_abs):.2f} pp"
f" (n={len(vp_abs)}, max={max(vp_abs):.2f})")
# (b) 16-cell 100h re-run @ 560 ms (all 8 langs × 2 inits)
print("\n (b) 100h × 8 langs × 2 inits @ 560 ms (FLEURS, VP):")
fl, vp = [], []
cells_fl, cells_vp = [], []
for lang in LANGS:
for init in ("ml", "enc"):
a_fl = wer(d, lang, "100h", init, "560ms", "fleurs")
b_fl = wer(d, lang, "100h", init+"_s45", "560ms", "fleurs")
a_vp = wer(d, lang, "100h", init, "560ms", "voxpopuli")
b_vp = wer(d, lang, "100h", init+"_s45", "560ms", "voxpopuli")
if a_fl is not None and b_fl is not None:
fl.append(abs(b_fl - a_fl))
cells_fl.append((lang, init, b_fl - a_fl))
if a_vp is not None and b_vp is not None:
vp.append(abs(b_vp - a_vp))
cells_vp.append((lang, init, b_vp - a_vp))
if fl:
s = sorted(fl)
worst = max(cells_fl, key=lambda x: abs(x[2]))
print(f" FLEURS: mean |Δ|={sum(fl)/len(fl):.2f} median={s[len(s)//2]:.2f}"
f" max={max(fl):.2f} ({worst[0]}-{worst[1]}) n={len(fl)}")
if vp:
s = sorted(vp)
worst = max(cells_vp, key=lambda x: abs(x[2]))
print(f" VoxPopuli: mean |Δ|={sum(vp)/len(vp):.2f} median={s[len(s)//2]:.2f}"
f" max={max(vp):.2f} ({worst[0]}-{worst[1]}) n={len(vp)}")
# (c) HR-100h FLEURS swing collapse at 560 ms vs 160 ms
print("\n (c) HR-100h FLEURS seed swing collapse 160 ms → 560 ms:")
for init in ("ml", "enc"):
for tier in ("160ms", "560ms"):
a = wer(d, "hr", "100h", init, tier, "fleurs")
b = wer(d, "hr", "100h", init+"_s45", tier, "fleurs")
if a is not None and b is not None:
print(f" hr-{init:<3s} @ {tier:<6s}: s1={a:.2f} s2={b:.2f} Δ={b-a:+.2f}")
# (d) Largest seed-induced EN-ML gap excursion at 100h / 560 ms
print("\n (d) Seed-induced EN-ML gap excursion at 100h / 560 ms FLEURS:")
print(f" {'lang':<4s}{'Δ(s1)':>10s}{'Δ(s2)':>10s}{'shift':>10s}{'sign?':>8s}")
biggest = (None, 0.0)
for lang in LANGS:
ml1 = wer(d, lang, "100h", "ml", "560ms", "fleurs")
en1 = wer(d, lang, "100h", "enc", "560ms", "fleurs")
ml2 = wer(d, lang, "100h", "ml_s45", "560ms", "fleurs")
en2 = wer(d, lang, "100h", "enc_s45", "560ms", "fleurs")
if any(x is None for x in (ml1, en1, ml2, en2)):
continue
d1 = en1 - ml1; d2 = en2 - ml2
sign_keep = "yes" if (d1 >= 0) == (d2 >= 0) else "NO"
shift = d2 - d1
print(f" {lang:<4s}{d1:>+10.2f}{d2:>+10.2f}{shift:>+10.2f}{sign_keep:>8s}")
if abs(shift) > abs(biggest[1]):
biggest = (lang, shift)
if biggest[0]:
print(f" largest shift: {biggest[0]} ({biggest[1]:+.2f} pp)")
# ---------------------------------------------------------------------------
# [13] Streaming penalty per (tier, hours, init) on FLEURS
# penalty = WER(tier) - WER(offline)
# ---------------------------------------------------------------------------
def t_streaming_penalty(d):
hr("[13] Streaming penalty (FLEURS): WER(tier) - WER(offline)")
print(f" {'init':<5s}{'tier':<10s}" + "".join(f"{h:>10s}" for h in HOURS))
for init in ("ml", "enc"):
for tier in ("160ms", "560ms", "1120ms"):
row = f" {init:<5s}{tier:<10s}"
for h in HOURS:
tier_wers = [wer(d, l, h, init, tier, "fleurs") for l in LANGS]
off_wers = [wer(d, l, h, init, "offline", "fleurs") for l in LANGS]
pairs = [(t - o) for t, o in zip(tier_wers, off_wers)
if t is not None and o is not None]
m = mean(pairs)
row += fmt(m, signed=True, w=10)
print(row)
# ---------------------------------------------------------------------------
# [14] tab:per_dataset — 160 ms WER per (lang, hours, init, dataset)
# ---------------------------------------------------------------------------
def t_per_dataset(d):
hr("[14] tab:per_dataset — 160 ms WER per (lang, hours, init, dataset)")
datasets = ("cv", "mls", "voxpopuli", "fleurs")
print(f" {'lang':<5s}{'hours':<7s}"
+ "".join(f"{ds.upper() + ' ml':>10s}{ds.upper() + ' en':>10s}"
for ds in datasets))
for lang in LANGS:
for h in HOURS:
row = f" {lang:<5s}{h:<7s}"
for ds in datasets:
ml = wer(d, lang, h, "ml", "160ms", ds)
en = wer(d, lang, h, "enc", "160ms", ds)
row += fmt(ml, w=10) + fmt(en, w=10)
print(row)
# ---------------------------------------------------------------------------
# main
# ---------------------------------------------------------------------------
def main(argv):
src = Path(argv[1]) if len(argv) > 1 else DEFAULT_JSON
if not src.is_file():
print(f"error: results file not found: {src}\n"
f" pass the path to wer_results.json as the first argument.",
file=sys.stderr)
return 2
d = json.loads(src.read_text())
print(f"Reading {src}")
t_main160(d)
t_seen_unseen(d)
t_latency_effect(d)
t_abs_wer(d)
t_lst(d)
t_from_pl(d)
t_reinitjoint(d)
t_quant(d)
t_es_5000h(d)
t_powerlaw(d)
t_hybrid(d)
t_seed(d)
t_streaming_penalty(d)
t_per_dataset(d)
return 0
if __name__ == "__main__":
sys.exit(main(sys.argv))
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