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"""MTEB-lite (eng), step C: choose K items per task so the subset ranks models like full MTEB(eng, v2).
Inputs: per-item scores of M models (outputs/mteb_lite/scores/<NAME>/<task>.json, mteb_lite_score.py) and
the FULL main score per task of those models, looked up by NAME in
outputs/mteb_en/<NAME>/summary_en.json, outputs/merge_sweep/scores*/<NAME>/mteb_en/summary_en.json,
--full-csv (columns name,task,score; score in [0,1] or [0,100]),
falling back to the model's pool-level score (flagged) if a full score is unknown.
Per task:
* item outcome across models, discretised into --bins fixed-width bins; zero-entropy items dropped
(STS: |percentile(cos) - percentile(gold)|, a per-pair rank error; others: their per-item score);
* relevance = MI(item bin; model full-score rank bin) (or |Spearman| with --relevance spearman);
* per-item tasks (retrieval, reranking, classification, summarization; task score = mean over items):
greedy mRMR, score = relevance - mean MI with the already selected items;
* set-metric tasks (STS Spearman, clustering V-measure, pair-classification AP): greedy forward
selection maximising Kendall tau (+ 0.1 Pearson as tie-break) between the subset task score and the
full task score across models, started from the top mRMR items;
* linear calibration full ~ a + b * subset score, fitted across models.
Validation (--lomo): leave-one-model-out — select + calibrate on M-1 models, predict the held-out model's
full score from its subset score; per task and for the 41-task macro (mean over the 8 types) / mean:
Kendall tau, Pearson, MAE. Baselines: K random items, and the whole pool (both calibrated the same way).
python scripts/mteb_lite_select.py [--models a,b,c] [--full-csv f.csv] [--K 100] [--lomo] [--jobs 64]
Writes data/mteb_lite/selection/<task>.json, data/mteb_lite/MTEB_lite_eng.json,
outputs/mteb_lite/selection_report.{md,json}.
"""
from __future__ import annotations
import argparse
import csv
import json
import sys
import time
from collections import defaultdict
from pathlib import Path
import numpy as np
HERE = Path(__file__).resolve().parent
sys.path.insert(0, str(HERE))
import mteb_lite_lib as L # noqa: E402
REPO = L.REPO
SET_TYPES = L.SET_TYPES
# ----------------------------------------------------------------------------- full scores
def full_scores(names: list[str], csv_path: str | None) -> dict[str, dict[str, float]]:
out: dict[str, dict[str, float]] = defaultdict(dict)
for n in names:
cands = [REPO / "outputs" / "mteb_en" / n / "summary_en.json"]
cands += sorted((REPO / "outputs" / "merge_sweep").glob(f"scores*/{n}/mteb_en/summary_en.json"))
for p in cands:
if p.exists():
for r in json.loads(p.read_text())["rows"]:
out[n].setdefault(r["task"], float(r["main_score"]))
if csv_path:
with open(csv_path) as f:
for r in csv.DictReader(f):
v = float(r["score"])
out[r["name"]][r["task"]] = v / 100 if v > 1.5 else v
return out
# ----------------------------------------------------------------------------- information measures
def discretise(Y: np.ndarray, typ: str, bins: int) -> np.ndarray:
lo, hi = (-1.0, 1.0) if typ == "Summarization" else (0.0, 1.0)
Z = np.clip((np.nan_to_num(Y, nan=lo) - lo) / (hi - lo), 0, 1)
return np.minimum((Z * bins).astype(int), bins - 1)
def rank_bins(f: np.ndarray, bins: int) -> np.ndarray:
from scipy.stats import rankdata
b = min(bins, len(f))
r = rankdata(f, method="ordinal") - 1
return np.minimum((r * b / len(f)).astype(int), b - 1)
def entropy_cols(B: np.ndarray, nb: int) -> np.ndarray:
P = np.stack([(B == k).mean(0) for k in range(nb)], 1)
with np.errstate(divide="ignore", invalid="ignore"):
return -np.nansum(np.where(P > 0, P * np.log(P), 0), 1)
def mi_with(B: np.ndarray, t: np.ndarray, nb: int, nt: int) -> np.ndarray:
"""MI (nats) of every column of B (models x items, ints < nb) with the vector t (ints < nt)."""
M = B.shape[0]
OH = np.stack([(B == k) for k in range(nb)], 2).astype(float) # M x N x nb
T = np.stack([(t == k) for k in range(nt)], 1).astype(float) # M x nt
J = np.einsum("mia,mb->iab", OH, T) / M # N x nb x nt
pa, pb = J.sum(2, keepdims=True), J.sum(1, keepdims=True)
with np.errstate(divide="ignore", invalid="ignore"):
v = np.where(J > 0, J * np.log(J / (pa * pb)), 0)
return v.sum((1, 2))
def item_outcomes(ts: L.TaskScores) -> np.ndarray:
"""Per-item outcome (models x items) in [0,1] ([-1,1] for summarization) used for entropy / MI."""
if ts.type == "STS":
from scipy.stats import rankdata
pc = (rankdata(ts.Y, axis=1) - 1) / max(ts.N - 1, 1)
pg = (rankdata(ts.gold) - 1) / max(ts.N - 1, 1)
return 1 - np.abs(pc - pg[None])
return ts.Y
def kendall(a, b) -> float:
from scipy.stats import kendalltau
a, b = np.asarray(a, float), np.asarray(b, float)
if len(a) < 2 or np.all(a == a[0]) or np.all(b == b[0]) or np.isnan(a).any():
return float("nan")
return float(kendalltau(a, b)[0])
def pearson(a, b) -> float:
a, b = np.asarray(a, float), np.asarray(b, float)
if len(a) < 2 or a.std() == 0 or b.std() == 0 or np.isnan(a).any():
return float("nan")
return float(np.corrcoef(a, b)[0, 1])
def spearman_cols(Y: np.ndarray, f: np.ndarray) -> np.ndarray:
from scipy.stats import rankdata
R = rankdata(np.nan_to_num(Y), axis=0)
rf = rankdata(f)
R = R - R.mean(0)
rf = rf - rf.mean()
den = np.sqrt((R ** 2).sum(0) * (rf ** 2).sum())
with np.errstate(divide="ignore", invalid="ignore"):
return np.where(den > 0, (R * rf[:, None]).sum(0) / den, 0)
# ----------------------------------------------------------------------------- selection
def select(ts: L.TaskScores, f: np.ndarray, models: np.ndarray, K: int, bins: int, relevance: str,
n_cand: int, seed: int = 0) -> tuple[list[int], dict]:
"""Indices (into ts.ids) of K items chosen using only `models` (rows)."""
O = item_outcomes(ts)[models]
fm = f[models]
B = discretise(O, ts.type, bins)
H = entropy_cols(B, bins)
tb = rank_bins(fm, bins)
nt = int(tb.max()) + 1
mi = mi_with(B, tb, bins, nt)
sp = np.abs(spearman_cols(O, fm))
rel = mi if relevance == "mi" else sp
rel = rel + 1e-3 * sp # tie-break on |Spearman|
alive = np.where(H > 1e-12)[0]
if len(alive) < K: # not enough informative items: pad with the rest
alive = np.arange(ts.N)
stats = {"entropy": H, "mi": mi, "spearman": sp}
if len(alive) <= K and ts.type not in SET_TYPES:
return sorted(alive.tolist()), stats
# --- mRMR
OH = np.stack([(B == k) for k in range(bins)], 2).astype(float) # Mt x N x bins
Mt = B.shape[0]
red = np.zeros(ts.N)
chosen: list[int] = []
k_mrmr = K if ts.type not in SET_TYPES else min(10, K)
avail = np.zeros(ts.N, bool)
avail[alive] = True
for step in range(min(k_mrmr, int(avail.sum()))):
sc = rel - (red / step if step else 0)
sc = np.where(avail, sc, -np.inf)
j = int(np.argmax(sc))
chosen.append(j)
avail[j] = False
J = np.einsum("mia,mb->iab", OH, OH[:, j, :]) / Mt # N x bins x bins
pa, pb = J.sum(2, keepdims=True), J.sum(1, keepdims=True)
with np.errstate(divide="ignore", invalid="ignore"):
red += np.where(J > 0, J * np.log(J / (pa * pb)), 0).sum((1, 2))
if ts.type not in SET_TYPES:
return sorted(chosen), stats
# --- greedy forward selection on the set metric (rank agreement with the full score)
rng = np.random.RandomState(seed)
pool_idx = alive if len(alive) >= K else np.arange(ts.N)
avail = np.zeros(ts.N, bool)
avail[pool_idx] = True
avail[chosen] = False
while len(chosen) < K and avail.any():
cands = np.where(avail)[0]
if len(cands) > n_cand:
cands = rng.choice(cands, n_cand, replace=False)
best, bj = -np.inf, None
for c in cands:
s = ts.subset(np.array(chosen + [int(c)]), models)
if np.isnan(s).any():
continue
obj = np.nan_to_num(kendall(s, fm)) + 0.1 * np.nan_to_num(pearson(s, fm))
if obj > best:
best, bj = obj, int(c)
if bj is None:
bj = int(cands[0])
chosen.append(bj)
avail[bj] = False
return sorted(chosen), stats
def calibrate(s: np.ndarray, f: np.ndarray) -> tuple[float, float]:
ok = ~(np.isnan(s) | np.isnan(f))
s, f = s[ok], f[ok]
if len(s) >= 3 and s.std() > 1e-9:
b, a = np.polyfit(s, f, 1)
return float(a), float(b)
return float(np.mean(f - s)) if len(s) else 0.0, 1.0
# ----------------------------------------------------------------------------- jobs
_CACHE: dict = {}
def task_scores(task: str, names: list[str]) -> L.TaskScores:
key = (task, tuple(names))
if key not in _CACHE:
_CACHE.clear()
res, embs = [], []
for n in names:
r, e = L.load_scores(n, task)
res.append(r)
embs.append(e)
_CACHE[key] = L.TaskScores(task, res, embs, L.load_pool(task))
return _CACHE[key]
def run_job(task: str, names: list[str], f: list[float], src: list[str], holdout: int | None, args) -> dict:
ts = task_scores(task, names)
f = np.asarray(f, float)
M = ts.M
# fit only on models with a real full score (pool-score fallback only if fewer than 3 have one)
real = [m for m in range(M) if src[m] == "full" and m != holdout]
train = np.array(real if len(real) >= 3 else [m for m in range(M) if m != holdout])
t0 = time.time()
sel, stats = select(ts, f, train, args.K, args.bins, args.relevance, args.n_cand)
out = {"task": task, "holdout": holdout, "sel": sel, "seconds": time.time() - t0}
exact = ts.type == "Clustering"
s_all = ts.subset(np.array(sel), exact=exact)
a, b = calibrate(s_all[train], f[train])
out.update({"subset": s_all.tolist(), "cal": [a, b], "pred": (a + b * s_all).tolist()})
if holdout is None:
out["stats"] = {k: v.tolist() for k, v in stats.items()}
else:
rng = np.random.RandomState(1000 + holdout)
preds = []
for _ in range(args.n_random_baseline):
cols = np.sort(rng.choice(ts.N, min(args.K, ts.N), replace=False))
s = ts.subset(cols, exact=exact)
ar, br = calibrate(s[train], f[train])
preds.append(ar + br * s[holdout])
out["pred_random"] = float(np.nanmean(preds))
ap_, bp_ = calibrate(ts.pool_scores[train], f[train])
out["pred_pool"] = float(ap_ + bp_ * ts.pool_scores[holdout])
return out
def metrics(pred: np.ndarray, true: np.ndarray) -> dict:
ok = ~(np.isnan(pred) | np.isnan(true))
p, t = pred[ok], true[ok]
return {"kendall": kendall(p, t), "pearson": pearson(p, t),
"mae": float(np.mean(np.abs(p - t))) if len(p) else float("nan"), "n": int(ok.sum())}
def aggregate(scores: dict[str, float], types: dict[str, str]) -> tuple[float, float]:
by = defaultdict(list)
for t, v in scores.items():
by[types[t]].append(100 * v)
macro = float(np.mean([np.mean(v) for v in by.values()]))
mean = float(np.mean([100 * v for v in scores.values()]))
return macro, mean
def main() -> None:
ap = argparse.ArgumentParser()
ap.add_argument("--scores-dir", default=str(L.SCORES))
ap.add_argument("--models", default=None, help="comma list of score dirs (default: all)")
ap.add_argument("--tasks", default=None)
ap.add_argument("--full-csv", default=None)
ap.add_argument("--K", type=int, default=100)
ap.add_argument("--bins", type=int, default=5)
ap.add_argument("--relevance", choices=["mi", "spearman"], default="mi")
ap.add_argument("--n-cand", type=int, default=200, help="set-metric greedy: candidates tried per step")
ap.add_argument("--n-random-baseline", type=int, default=5)
ap.add_argument("--lomo", action="store_true")
ap.add_argument("--jobs", type=int, default=1)
ap.add_argument("--out", default=str(L.LITE))
ap.add_argument("--report", default=str(REPO / "outputs" / "mteb_lite" / "selection_report"))
args = ap.parse_args()
L.SCORES = Path(args.scores_dir)
names = sorted(args.models.split(",")) if args.models else sorted(
p.name for p in L.SCORES.iterdir() if p.is_dir())
types = {n: L.get_task(n).metadata.type for n in L.task_names()}
tasks = args.tasks.split(",") if args.tasks else [t for t in L.task_names() if L.pool_path(t).exists()]
fulls = full_scores(names, args.full_csv)
jobs, info = [], {}
for t in tasks:
have = [n for n in names if (L.SCORES / n / f"{t}.json").exists()]
if len(have) < 3:
print(f"[select] {t}: only {len(have)} models scored - skipped", flush=True)
continue
f, src = [], []
for n in have:
if t in fulls.get(n, {}):
f.append(fulls[n][t])
src.append("full")
else:
f.append(json.loads((L.SCORES / n / f"{t}.json").read_text())["pool_score"])
src.append("pool")
info[t] = {"names": have, "f": f, "src": src}
jobs.append((t, have, f, src, None))
if args.lomo and src.count("full") >= 4:
jobs += [(t, have, f, src, m) for m in range(len(have)) if src[m] == "full"]
print(f"[select] {len(info)} tasks, {len(names)} models, {len(jobs)} jobs", flush=True)
results = []
if args.jobs > 1:
from concurrent.futures import ProcessPoolExecutor
jobs.sort(key=lambda j: (types[j[0]] not in SET_TYPES, j[0]))
with ProcessPoolExecutor(args.jobs) as ex:
futs = [ex.submit(run_job, *j, args) for j in jobs]
for fu in futs:
results.append(fu.result())
else:
results = [run_job(*j, args) for j in jobs]
final = {r["task"]: r for r in results if r["holdout"] is None}
lomo = defaultdict(dict)
for r in results:
if r["holdout"] is not None:
lomo[r["task"]][r["holdout"]] = r
out = Path(args.out)
(out / "selection").mkdir(parents=True, exist_ok=True)
manifest = {"benchmark": "MTEB-lite (eng)", "source_benchmark": L.BENCHMARK, "K": args.K,
"models": names, "method": {"bins": args.bins, "relevance": args.relevance,
"per_item": "mRMR", "set_metric": "greedy Kendall tau"},
"tasks": {}}
report = {"per_task": {}, "aggregate": {}, "args": vars(args)}
for t, r in final.items():
ts = task_scores(t, info[t]["names"])
ids = [ts.ids[j] for j in r["sel"]]
st = r["stats"]
sel_doc = {"task": t, "type": types[t], "K": len(ids), "ids": ids, "calibration": r["cal"],
"n_pool_items": ts.N, "n_informative": int(np.sum(np.array(st["entropy"]) > 1e-12)),
"items": [{"id": ts.ids[j], "entropy": st["entropy"][j], "mi": st["mi"][j],
"abs_spearman": st["spearman"][j]} for j in r["sel"]],
"models": info[t]["names"], "full_score_source": info[t]["src"]}
(out / "selection" / f"{t}.json").write_text(json.dumps(sel_doc, indent=1))
manifest["tasks"][t] = {"type": types[t], "main_score": L.get_task(t).metadata.main_score,
"ids": ids, "calibration": {"a": r["cal"][0], "b": r["cal"][1]},
"subset_metric": "re-clustered V-measure" if types[t] == "Clustering" else
("Spearman(cos, gold)" if types[t] == "STS" else
("weighted AP(cos)" if types[t] == "PairClassification" else
f"mean {L.ITEM_KEY[types[t]]}"))}
f = np.array(info[t]["f"])
real = np.array([x == "full" for x in info[t]["src"]])
row = {"type": types[t], "n_models": len(f), "n_full": int(real.sum()),
"in_sample": metrics(np.array(r["pred"])[real], f[real]) if real.sum() >= 2 else {},
"subset_vs_full_raw": {"kendall": kendall(np.array(r["subset"])[real], f[real]),
"pearson": pearson(np.array(r["subset"])[real], f[real])},
"pool_vs_full_raw": {"kendall": kendall(ts.pool_scores[real], f[real]),
"pearson": pearson(ts.pool_scores[real], f[real])}}
if lomo.get(t):
hs = sorted(lomo[t])
pt = np.array([lomo[t][m]["pred"][m] for m in hs])
tt = f[hs]
row["lomo"] = metrics(pt, tt)
row["lomo_random"] = metrics(np.array([lomo[t][m]["pred_random"] for m in hs]), tt)
row["lomo_pool"] = metrics(np.array([lomo[t][m]["pred_pool"] for m in hs]), tt)
report["per_task"][t] = row
(out / "MTEB_lite_eng.json").write_text(json.dumps(manifest, indent=1))
# aggregate (models with LOMO predictions on every task)
if lomo and len(final) == len(info):
agg = {"lomo": defaultdict(list), "lomo_random": defaultdict(list), "lomo_pool": defaultdict(list),
"true": defaultdict(list)}
for n in names:
if not all(n in info[t]["names"] for t in final):
continue
idx = {t: info[t]["names"].index(n) for t in final}
if not all(idx[t] in lomo[t] for t in final):
continue
tru = {t: info[t]["f"][idx[t]] for t in final}
for key, fn in (("lomo", lambda t: lomo[t][idx[t]]["pred"][idx[t]]),
("lomo_random", lambda t: lomo[t][idx[t]]["pred_random"]),
("lomo_pool", lambda t: lomo[t][idx[t]]["pred_pool"])):
ma, me = aggregate({t: fn(t) for t in final}, types)
agg[key]["macro"].append(ma)
agg[key]["mean"].append(me)
ma, me = aggregate(tru, types)
agg["true"]["macro"].append(ma)
agg["true"]["mean"].append(me)
agg["true"]["names"].append(n)
for key in ("lomo", "lomo_random", "lomo_pool"):
report["aggregate"][key] = {k: metrics(np.array(agg[key][k]), np.array(agg["true"][k]))
for k in ("macro", "mean")} if agg["true"]["macro"] else {}
report["aggregate"]["models"] = agg["true"]["names"]
rp = Path(args.report)
rp.parent.mkdir(parents=True, exist_ok=True)
rp.with_suffix(".json").write_text(json.dumps(report, indent=1, default=float))
rp.with_suffix(".md").write_text(render(report, manifest))
print(render(report, manifest))
def render(report: dict, manifest: dict) -> str:
def f3(x):
return "-" if x is None or (isinstance(x, float) and np.isnan(x)) else f"{x:.3f}"
lines = [f"# MTEB-lite (eng) selection report", "",
f"K={manifest['K']} items/task, {len(manifest['models'])} models: {', '.join(manifest['models'])}", "",
"| task | type | models (full) | LOMO tau | LOMO r | LOMO MAE | random tau | random MAE | pool tau | pool MAE | in-sample tau |",
"|---|---|---|---|---|---|---|---|---|---|---|"]
for t, r in report["per_task"].items():
lo, ra, po = r.get("lomo", {}), r.get("lomo_random", {}), r.get("lomo_pool", {})
lines.append(f"| {t} | {r['type']} | {r['n_models']} ({r['n_full']}) | {f3(lo.get('kendall'))} | "
f"{f3(lo.get('pearson'))} | {f3(lo.get('mae'))} | {f3(ra.get('kendall'))} | {f3(ra.get('mae'))} | "
f"{f3(po.get('kendall'))} | {f3(po.get('mae'))} | {f3(r['in_sample'].get('kendall'))} |")
if report["aggregate"]:
lines += ["", f"## {len(report['per_task'])}-task aggregate (leave-one-model-out; scores x100)", "",
"| estimate | macro tau | macro r | macro MAE | mean tau | mean r | mean MAE |", "|---|---|---|---|---|---|---|"]
for key in ("lomo", "lomo_random", "lomo_pool"):
a = report["aggregate"].get(key) or {}
if a:
lines.append(f"| {key} | {f3(a['macro']['kendall'])} | {f3(a['macro']['pearson'])} | "
f"{f3(a['macro']['mae'])} | {f3(a['mean']['kendall'])} | {f3(a['mean']['pearson'])} | "
f"{f3(a['mean']['mae'])} |")
return "\n".join(lines) + "\n"
if __name__ == "__main__":
main()
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