File size: 14,557 Bytes
f7b6133 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 | from __future__ import annotations
"""Top-10 RAG ranking layer for the sparse geometric index.
This module is the cleaned, path-independent version of the exact SciFact and
TREC-COVID experiment scripts preserved under ``experiments/beir/*history.py``.
It keeps the geometric index fixed and changes only the shortlist size P and
the final top-10 set construction.
Important implementation choices
--------------------------------
* Early rescue: binary whole-chunk IDF^1 support.
* Final lexical signal: binary whole-chunk IDF^2 support, not TF^2.
* Final components retain the validated per-query z-normalization.
* Branch quality H_j is the mean of the top three branch-specific evidences.
* Diversity is available only to the ten highest-quality branches.
* Rank 1 is pure relevance; ranks 2..10 receive a soft diversity correction.
* Repeated branches are allowed. There is no one-document-per-branch rule.
"""
from dataclasses import dataclass
import time
import numpy as np
from .metrics import evaluate_run
def _zscore(x):
x = np.asarray(x, np.float32)
if not len(x):
return x
sd = float(x.std())
return np.zeros_like(x) if sd < 1e-8 else (x - float(x.mean())) / sd
def _minmax_hi(x):
"""Map scores monotonically to [0, 1], high remains good."""
x = np.asarray(x, np.float32)
if not len(x):
return x
lo, hi = float(x.min()), float(x.max())
den = hi - lo
return np.ones_like(x) if den < 1e-8 else (x - lo) / den
def _topk_large(score, k):
score = np.asarray(score)
n = len(score)
k = min(int(k), n)
if k <= 0:
return np.empty(0, np.int64)
if n <= k:
return np.argsort(score)[::-1]
ii = np.argpartition(score, -k)[-k:]
return ii[np.argsort(score[ii])[::-1]]
@dataclass(frozen=True)
class RAGTop10Config:
pool_size: int = 100
gamma: float = 0.25
lambda_membership: float = 0.125
pre_length_b: float = 0.2
final_length_b: float = 0.1
coordination_alpha: float = 0.25
lambda_lex: float = 4.0
lambda_sem: float = 0.3
lambda_rare: float = 1.0
semantic_k: int = 16
rare_topk: int = 3
hq_top_branches: int = 10
branch_quality_top_docs: int = 3
lambda_diversity: float = 0.1
class RAGTop10Ranker:
"""RAG-oriented shortlist and top-10 set selector.
``GeometricIndex`` performs corpus indexing and stores the compact geometry.
This class consumes that frozen representation. It does not train a model,
rebuild centers, or alter residual codes.
"""
def __init__(self, index, config: RAGTop10Config | None = None):
self.idx = index
self.cfg = config or RAGTop10Config()
self.M = int(index.vocab_size)
def _center_sparse(self, branch):
t = self.idx.center_terms[branch]
v = self.idx.center_values[branch]
ok = t >= 0
t = t[ok].astype(np.int32)
v = v[ok].astype(np.float32)
n = float(np.linalg.norm(v))
if n > 0:
v = v / n
order = np.argsort(t)
return t[order], v[order]
@staticmethod
def _spdot(a_t, a_v, b_t, b_v):
i = j = 0
s = 0.0
while i < len(a_t) and j < len(b_t):
if a_t[i] == b_t[j]:
s += float(a_v[i]) * float(b_v[j]); i += 1; j += 1
elif a_t[i] < b_t[j]:
i += 1
else:
j += 1
return s
def prepare(self, text: str):
"""Retrieve geometric candidates and create the P-sized chunk shortlist."""
idx, cfg, M = self.idx, self.cfg, self.M
q = idx._query_vector(text)
if q.nnz == 0:
return None
q_dense = np.zeros(M, np.float32)
q_dense[q.indices] = q.data
route_terms, route_values, _ = idx._expanded_route(q)
if not len(route_terms):
return None
route_dense = np.zeros(M, np.float32)
route_dense[route_terms] = route_values
pieces = []
for j in route_terms:
a, b = idx.branch_offsets[j], idx.branch_offsets[j + 1]
if b > a:
pieces.append(idx.branch_order[a:b])
if not pieces:
return None
flat_pos = np.concatenate(pieces).astype(np.int64, copy=False)
docs = (flat_pos // idx.config.F).astype(np.int64)
slots = (flat_pos % idx.config.F).astype(np.int64)
branches = idx.branches[docs, slots]
terms = idx.res_terms[docs, slots]
valid = terms >= 0
safe_terms = np.where(valid, terms, 0)
qv = q_dense[safe_terms]
local = np.sum(
idx.res_reliability[docs, slots].astype(np.float32)
* (qv - idx.res_center_values[docs, slots])
* idx.res_signs[docs, slots].astype(np.float32)
* valid,
axis=1,
)
significance = np.sum((qv * qv) * valid, axis=1)
consensus = idx.memberships[docs, slots] * route_dense[branches]
branch_ev = (
consensus * local * np.power(np.maximum(significance, 0), cfg.gamma)
).astype(np.float32)
unique_docs, inverse = np.unique(docs, return_inverse=True)
tail = np.bincount(inverse, weights=branch_ev, minlength=len(unique_docs)).astype(np.float32)
tail += cfg.lambda_membership * np.bincount(
inverse, weights=consensus, minlength=len(unique_docs)
).astype(np.float32)
# Stage 1: cheap whole-chunk binary IDF^1 rescue before expensive final scoring.
qlex = np.zeros(M, np.float32)
qlex[q.indices] = idx.idf[q.indices]
lex1 = np.zeros(len(unique_docs), np.float32)
for i, d in enumerate(unique_docs):
a, b = idx.support_indptr[d], idx.support_indptr[d + 1]
support = idx.support_indices[a:b]
raw = float(qlex[support].sum())
den = (1 - cfg.pre_length_b) + cfg.pre_length_b * (
float(idx.doc_lengths[d]) / idx.avg_doc_length
)
lex1[i] = raw / (den if den > 0 else 1.0)
pre = _zscore(tail) + _zscore(lex1)
selected = _topk_large(pre, cfg.pool_size)
pool_docs = unique_docs[selected]
pool_tail = tail[selected]
# Preserve branch-specific evidence for robust branch-quality estimation.
pool_position = np.full(len(unique_docs), -1, np.int32)
pool_position[selected] = np.arange(len(selected), dtype=np.int32)
mapped = pool_position[inverse]
keep = mapped >= 0
mem_pool = mapped[keep].astype(np.int32)
mem_branch = branches[keep].astype(np.int32)
mem_ev = branch_ev[keep].astype(np.float32)
# Stage 2: final chunk evidence. No document TF is used here.
semvec = np.zeros(M, np.float32)
for t, amp in zip(q.indices, q.data):
a, b = idx.A.indptr[t], idx.A.indptr[t + 1]
nb = idx.A.indices[a:b][: cfg.semantic_k]
sv = idx.A.data[a:b][: cfg.semantic_k]
if len(nb):
semvec[nb] += float(amp) * sv * idx.idf[nb]
qset = set(map(int, q.indices))
rare = set(map(int, q.indices[np.argsort(idx.idf[q.indices])[::-1]][: cfg.rare_topk]))
nq = max(1, len(q.indices))
lex2 = np.zeros(len(pool_docs), np.float32)
sem = np.zeros(len(pool_docs), np.float32)
matched_count = np.zeros(len(pool_docs), np.float32)
rare_count = np.zeros(len(pool_docs), np.float32)
for i, d in enumerate(pool_docs):
a, b = idx.support_indptr[d], idx.support_indptr[d + 1]
support = idx.support_indices[a:b]
sem[i] = float(semvec[support].sum())
match = [int(t) for t in support if int(t) in qset]
raw = sum(float(idx.idf[t]) ** 2 for t in match)
den = (1 - cfg.final_length_b) + cfg.final_length_b * (
float(idx.doc_lengths[d]) / idx.avg_doc_length
)
lex2[i] = raw / (den if den > 0 else 1.0)
matched_count[i] = len(match)
rare_count[i] = sum(t in rare for t in match)
coverage = matched_count / nq
lex_adjusted = lex2 * np.power(np.maximum(coverage, 1e-6), cfg.coordination_alpha)
rare_coverage = rare_count / max(1, min(cfg.rare_topk, nq))
relevance = (
_zscore(pool_tail)
+ cfg.lambda_lex * _zscore(lex_adjusted)
+ cfg.lambda_sem * _zscore(sem)
+ cfg.lambda_rare * _zscore(rare_coverage)
)
# Robust high-quality branch score H_j: mean top-r branch-specific evidence.
branch_pairs = {}
for pi, b, e in zip(mem_pool, mem_branch, mem_ev):
key = (int(b), int(pi))
if key not in branch_pairs or e > branch_pairs[key]:
branch_pairs[key] = float(e)
by_branch = {}
for (b, pi), e in branch_pairs.items():
by_branch.setdefault(b, []).append((e, pi))
H, docs_by_branch = {}, {}
for b, vals in by_branch.items():
vals.sort(key=lambda x: x[0], reverse=True)
r = min(cfg.branch_quality_top_docs, len(vals))
H[b] = float(np.mean([e for e, _ in vals[:r]]))
docs_by_branch[b] = np.asarray([pi for _, pi in vals], dtype=np.int32)
unique_branches = np.asarray(sorted(H.keys()), dtype=np.int32)
h = np.asarray([H[int(b)] for b in unique_branches], dtype=np.float32)
centers = [self._center_sparse(int(b)) for b in unique_branches]
cosine = np.eye(len(unique_branches), dtype=np.float32)
for i in range(len(unique_branches)):
for j in range(i + 1, len(unique_branches)):
cosine[i, j] = cosine[j, i] = self._spdot(*centers[i], *centers[j])
return {
"docs": pool_docs,
"relevance": relevance,
"route_docs": unique_docs,
"branches": unique_branches,
"branch_quality": h,
"cosine": cosine,
"docs_by_branch": docs_by_branch,
}
@staticmethod
def _deviation(cosine, selected_branch_indices):
"""Squared distance of each unit branch center from selected-center centroid."""
if not selected_branch_indices:
return np.zeros(len(cosine), np.float32)
si = np.asarray(selected_branch_indices, np.int32)
centroid_norm_sq = float(np.mean(cosine[np.ix_(si, si)]))
return 1.0 + centroid_norm_sq - 2.0 * np.mean(cosine[:, si], axis=1)
def rank(self, packet, k: int = 10):
"""Construct top-k; branch diversity affects only the first ten ranks."""
if packet is None or not len(packet["docs"]):
return []
cfg = self.cfg
base = packet["relevance"]
n = len(base)
order = np.argsort(base)[::-1]
first = int(order[0])
chosen = [first]
used = {first}
# Only top query-specific branches are eligible to receive a diversity bonus.
h = packet["branch_quality"]
eligible = np.argsort(h)[::-1][: min(cfg.hq_top_branches, len(h))]
doc_hq = [[] for _ in range(n)]
branch_to_index = {int(b): i for i, b in enumerate(packet["branches"])}
for bi in eligible:
b = int(packet["branches"][bi])
for pi in packet["docs_by_branch"].get(b, []):
doc_hq[int(pi)].append(int(bi))
selected_branches = []
if doc_hq[first]:
selected_branches = [max(doc_hq[first], key=lambda bi: float(h[bi]))]
# Ranks 2..10: relevance plus soft central-deviation bonus.
for _ in range(1, min(10, k, n)):
rem = np.asarray([i for i in range(n) if i not in used], dtype=np.int32)
if not len(rem):
break
dev = self._deviation(packet["cosine"], selected_branches)
if len(eligible):
dev_values = _minmax_hi(dev[eligible])
dev_map = {int(bi): float(v) for bi, v in zip(eligible, dev_values)}
else:
dev_map = {}
rel = _minmax_hi(base[rem])
bonus = np.zeros(len(rem), np.float32)
for ii, pi in enumerate(rem):
if doc_hq[int(pi)]:
bonus[ii] = max(dev_map.get(bi, 0.0) for bi in doc_hq[int(pi)])
value = rel + cfg.lambda_diversity * bonus
pi = int(rem[int(np.argmax(value))])
chosen.append(pi)
used.add(pi)
if doc_hq[pi]:
bi = max(doc_hq[pi], key=lambda x: (dev_map.get(x, 0.0), float(h[x])))
selected_branches.append(int(bi))
# Beyond rank 10, ordinary relevance. This keeps the top-10 RAG mechanism isolated.
for pi in order:
pi = int(pi)
if len(chosen) >= min(k, n):
break
if pi not in used:
chosen.append(pi)
used.add(pi)
return packet["docs"][np.asarray(chosen[:k], dtype=np.int64)].tolist()
def search(self, text: str, k: int = 10, timing: bool = False):
t0 = time.perf_counter()
packet = self.prepare(text)
t1 = time.perf_counter()
local_ids = self.rank(packet, k=k)
t2 = time.perf_counter()
doc_ids = [str(self.idx.doc_ids[int(d)]) for d in local_ids]
if not timing:
return doc_ids
return doc_ids, {
"prepare_ms": (t1 - t0) * 1000.0,
"rank_ms": (t2 - t1) * 1000.0,
"total_ms": (t2 - t0) * 1000.0,
"route_size": 0 if packet is None else len(packet["route_docs"]),
"pool_size": 0 if packet is None else len(packet["docs"]),
}
def evaluate(self, dataset, k: int = 10):
run = {}
times = []
for qid in dataset.qrels:
docs, timing = self.search(dataset.queries[qid], k=k, timing=True)
run[str(qid)] = docs
times.append(timing)
metrics = evaluate_run(run, dataset.qrels, ks=(10,), ndcg_k=10, mrr_k=10, exp_gain=False)
metrics.update({
"median_total_ms": float(np.median([x["total_ms"] for x in times])),
"p95_total_ms": float(np.percentile([x["total_ms"] for x in times], 95)),
"median_rank_ms": float(np.median([x["rank_ms"] for x in times])),
"median_route_size": float(np.median([x["route_size"] for x in times])),
"median_pool_size": float(np.median([x["pool_size"] for x in times])),
})
return metrics, run
|