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import json
import os
import time
from pathlib import Path
from typing import Iterable
import joblib
import numpy as np
from scipy import sparse
from sklearn.feature_extraction.text import TfidfVectorizer
from .config import FrozenConfig
from .geometry import build_term_graphs
from .utils import topk_sparse_row, zscore
class GeometricIndex:
"""Frozen sparse geometric retrieval index.
The implementation follows the final handoff architecture:
TF-IDF -> F=4 fuzzy routing -> B=64 sparse centers -> S=16 signed
residuals -> inverse local sign-variance reliability -> significance
scoring -> second-order vocabulary routing -> binary whole-document
support reranking.
"""
def __init__(self, config: FrozenConfig | None = None):
self.config = config or FrozenConfig()
self.vectorizer: TfidfVectorizer | None = None
self.doc_ids: np.ndarray | None = None
self.X: sparse.csr_matrix | None = None
# ------------------------------------------------------------------
# BUILD
# ------------------------------------------------------------------
@classmethod
def build(
cls,
texts: list[str],
doc_ids: list[str] | None = None,
config: FrozenConfig | None = None,
verbose: bool = True,
) -> "GeometricIndex":
self = cls(config)
cfg = self.config
N = len(texts)
if doc_ids is None:
doc_ids = [str(i) for i in range(N)]
if len(doc_ids) != N:
raise ValueError("doc_ids and texts must have identical length")
self.doc_ids = np.asarray(doc_ids, dtype=object)
def log(msg):
if verbose:
print(msg, flush=True)
t0 = time.perf_counter()
log(f"[1/8] TF-IDF: N={N:,}, max_features={cfg.max_features:,}")
self.vectorizer = TfidfVectorizer(
max_features=cfg.max_features,
min_df=cfg.min_df,
lowercase=cfg.lowercase,
token_pattern=cfg.token_pattern,
norm="l2",
dtype=np.float32,
smooth_idf=True,
sublinear_tf=False,
)
X = self.vectorizer.fit_transform(texts).tocsr().astype(np.float32)
X.sort_indices()
self.X = X
self.idf = np.asarray(self.vectorizer.idf_, dtype=np.float32)
self.vocab_size = X.shape[1]
M = self.vocab_size
log(f" shape={X.shape}, nnz={X.nnz:,}, {time.perf_counter()-t0:.2f}s")
# Whole-document binary support is simply the CSR sparsity pattern.
# Keep a separate compact CSR with uint8 data so query reranking never
# needs the TF-IDF amplitudes.
self.support_indptr = X.indptr.astype(np.int64, copy=True)
self.support_indices = X.indices.astype(np.int32, copy=True)
analyzer = self.vectorizer.build_analyzer()
self.doc_lengths = np.asarray([len(analyzer(t)) for t in texts], dtype=np.int32)
self.avg_doc_length = float(max(1.0, self.doc_lengths.mean()))
# ---------------- Fuzzy memberships ----------------
log(f"[2/8] Fuzzy memberships F={cfg.F}")
branches = np.full((N, cfg.F), -1, dtype=np.int32)
memberships = np.zeros((N, cfg.F), dtype=np.float32)
for d in range(N):
a, b = X.indptr[d], X.indptr[d+1]
idx, dat = X.indices[a:b], X.data[a:b]
if not len(idx):
continue
ii, vv = topk_sparse_row(idx, dat, cfg.F)
n = len(ii)
branches[d, :n] = ii
den = float(vv.sum())
memberships[d, :n] = vv / den if den > 0 else 1.0 / n
self.branches = branches
self.memberships = memberships
# Flatten memberships and sort by branch. This one structure serves as
# the branch inverted index while preserving the document/slot identity.
flat_branch = branches.ravel()
valid_flat = np.flatnonzero(flat_branch >= 0).astype(np.int64)
order = np.argsort(flat_branch[valid_flat], kind="stable")
self.branch_order = valid_flat[order]
sorted_br = flat_branch[self.branch_order]
counts = np.bincount(sorted_br, minlength=M)
self.branch_offsets = np.zeros(M + 1, dtype=np.int64)
np.cumsum(counts, out=self.branch_offsets[1:])
# ---------------- Sparse shared centers ----------------
log(f"[3/8] Sparse branch centers B={cfg.B}")
wr = np.repeat(np.arange(N, dtype=np.int32), cfg.F)
wc = branches.ravel()
wd = memberships.ravel()
valid = wc >= 0
W = sparse.csr_matrix((wd[valid], (wr[valid], wc[valid])), shape=(N, M), dtype=np.float32)
branch_mass = np.asarray(W.sum(axis=0)).ravel().astype(np.float32)
center_terms = np.full((M, cfg.B), -1, dtype=np.int32)
center_values = np.zeros((M, cfg.B), dtype=np.float32)
block = 256
for start in range(0, M, block):
end = min(M, start + block)
C = (W[:, start:end].T @ X).tocsr()
for local in range(end-start):
j = start + local
if branch_mass[j] <= 0:
continue
a, b = C.indptr[local], C.indptr[local+1]
idx = C.indices[a:b]
dat = C.data[a:b] / branch_mass[j]
if not len(dat):
continue
kk = min(cfg.B, len(dat))
pick = np.argpartition(dat, -kk)[-kk:]
ii, vv = idx[pick], dat[pick]
# Sorted term IDs make residual construction and later lookup cheap.
oo = np.argsort(ii)
ii, vv = ii[oo], vv[oo]
center_terms[j, :kk] = ii
center_values[j, :kk] = vv
self.center_terms = center_terms
self.center_values = center_values
del W
# ---------------- Signed residual codes ----------------
log(f"[4/8] Signed residuals S={cfg.S} (document-present coordinates only)")
res_terms = np.full((N, cfg.F, cfg.S), -1, dtype=np.int32)
res_signs = np.zeros((N, cfg.F, cfg.S), dtype=np.int8)
res_center = np.zeros((N, cfg.F, cfg.S), dtype=np.float32)
for d in range(N):
a, b = X.indptr[d], X.indptr[d+1]
didx, dval = X.indices[a:b], X.data[a:b]
if not len(didx):
continue
for s in range(cfg.F):
j = int(branches[d, s])
if j < 0:
continue
cidx = center_terms[j]
cval = center_values[j]
maskc = cidx >= 0
ck, cv = cidx[maskc], cval[maskc]
c_at_doc = np.zeros(len(didx), dtype=np.float32)
if len(ck):
pos = np.searchsorted(ck, didx)
ok = pos < len(ck)
oi = np.flatnonzero(ok)
if len(oi):
p = pos[oi]
same = ck[p] == didx[oi]
chosen = oi[same]
c_at_doc[chosen] = cv[pos[chosen]]
residual = dval - c_at_doc
kk = min(cfg.S, len(residual))
pick = np.argpartition(np.abs(residual), -kk)[-kk:]
pick = pick[np.argsort(np.abs(residual[pick]))[::-1]]
res_terms[d, s, :kk] = didx[pick]
res_signs[d, s, :kk] = np.where(residual[pick] >= 0, 1, -1).astype(np.int8)
res_center[d, s, :kk] = c_at_doc[pick]
self.res_terms = res_terms
self.res_signs = res_signs
self.res_center_values = res_center
# ---------------- Reliability ----------------
log("[5/8] Zero-inclusive local sign reliability")
rel = np.ones((N, cfg.F, cfg.S), dtype=np.float16)
# Global sign variance: zeros are implicit over all valid memberships.
n_memberships_total = max(1, len(self.branch_order))
global_count = np.zeros(M, dtype=np.float64)
global_sum = np.zeros(M, dtype=np.float64)
for d0 in range(0, N, 50_000):
tt = res_terms[d0:d0+50_000].ravel()
zz = res_signs[d0:d0+50_000].ravel().astype(np.float64)
ok = tt >= 0
global_count += np.bincount(tt[ok], minlength=M)
global_sum += np.bincount(tt[ok], weights=zz[ok], minlength=M)
g_e2 = global_count / n_memberships_total
g_e1 = global_sum / n_memberships_total
global_var = np.maximum(g_e2 - g_e1 * g_e1, 0.0)
self.global_sign_var = global_var.astype(np.float32)
# Process one branch at a time. Each branch sees only its own memberships,
# so np.unique operates on a small local residual set rather than a giant
# vocabulary x vocabulary table.
flat_rel = rel.reshape(N * cfg.F, cfg.S)
flat_terms = res_terms.reshape(N * cfg.F, cfg.S)
flat_signs = res_signs.reshape(N * cfg.F, cfg.S)
for j in range(M):
a, b = self.branch_offsets[j], self.branch_offsets[j+1]
mpos = self.branch_order[a:b]
nj = len(mpos)
if nj == 0:
continue
terms_j = flat_terms[mpos].ravel()
signs_j = flat_signs[mpos].ravel().astype(np.float64)
ok = terms_j >= 0
if not np.any(ok):
continue
u, inv = np.unique(terms_j[ok], return_inverse=True)
cnt = np.bincount(inv).astype(np.float64)
sm = np.bincount(inv, weights=signs_j[ok]).astype(np.float64)
e2 = cnt / nj
e1 = sm / nj
lv = np.maximum(e2 - e1 * e1, 0.0)
shr = (cnt / (cnt + cfg.tau)) * lv + (cfg.tau / (cnt + cfg.tau)) * global_var[u]
w = np.power(shr + cfg.reliability_eps, cfg.beta)
# Keep the mean branch weight near one to avoid branch-scale artifacts.
if len(w) and np.isfinite(w).all() and w.mean() > 0:
w = w / w.mean()
lookup = {int(t): float(v) for t, v in zip(u, w)}
# Offline dictionary use is acceptable; query-time retrieval remains vectorized.
for p in mpos:
for r in range(cfg.S):
t = int(flat_terms[p, r])
if t >= 0:
flat_rel[p, r] = np.float16(lookup.get(t, 1.0))
self.res_reliability = rel
# ---------------- Term geometry ----------------
log(f"[6/8] Term geometry L={cfg.L}, PPMI top={cfg.assoc_k}, context top={cfg.route_k}")
self.A, self.G = build_term_graphs(X, cfg)
# Index no longer requires TF-IDF corpus amplitudes for normal querying.
# Retain X only in-memory for diagnostics; save() omits it by default.
log("[7/8] Finalizing compact index")
self._fitted = True
self.build_seconds = time.perf_counter() - t0
log(f"[8/8] DONE in {self.build_seconds:.2f}s")
return self
# ------------------------------------------------------------------
# QUERY
# ------------------------------------------------------------------
def _query_vector(self, text: str) -> sparse.csr_matrix:
if self.vectorizer is None:
raise RuntimeError("Index is not fitted")
q = self.vectorizer.transform([text]).tocsr().astype(np.float32)
q.sort_indices()
return q
def _expanded_route(self, q: sparse.csr_matrix) -> tuple[np.ndarray, np.ndarray, np.ndarray]:
cfg = self.config
M = self.vocab_size
qa, qb = q.indptr[0], q.indptr[1]
q_terms = q.indices[qa:qb]
q_vals = q.data[qa:qb]
route = np.zeros(M, dtype=np.float32)
route[q_terms] = q_vals
# Weak second-order semantic routing. Original coordinates are preserved.
for t, qv in zip(q_terms, q_vals):
a, b = self.G.indptr[t], self.G.indptr[t+1]
nb = self.G.indices[a:b]
sv = self.G.data[a:b]
route[nb] += cfg.route_alpha * float(qv) * sv
nonzero = np.flatnonzero(route > 0)
originals = set(map(int, q_terms.tolist()))
if len(nonzero) > cfg.route_budget:
# Preserve every literal query term; fill the remaining budget with
# strongest inferred coordinates.
inferred = np.asarray([i for i in nonzero if int(i) not in originals], dtype=np.int32)
budget = max(0, cfg.route_budget - len(originals))
if budget and len(inferred) > budget:
pick = np.argpartition(route[inferred], -budget)[-budget:]
inferred = inferred[pick]
elif budget == 0:
inferred = np.empty(0, dtype=np.int32)
chosen = np.asarray(sorted(originals), dtype=np.int32)
nonzero = np.concatenate([chosen, inferred])
# strongest first is convenient but not required for union routing
order = np.argsort(route[nonzero])[::-1]
return nonzero[order].astype(np.int32), route[nonzero[order]], q_terms
def search(self, text: str, k: int | None = None, return_scores: bool = False):
cfg = self.config
k = int(k or cfg.output_k)
q = self._query_vector(text)
q_dense = np.zeros(self.vocab_size, dtype=np.float32)
q_dense[q.indices] = q.data
route_terms, route_vals, q_terms = self._expanded_route(q)
if len(route_terms) == 0:
return ([], np.empty(0, np.float32)) if return_scores else []
route_dense = np.zeros(self.vocab_size, dtype=np.float32)
route_dense[route_terms] = route_vals
# Retrieve matching membership positions, not just docs, because fuzzy
# multi-branch evidence is part of the score.
pieces = []
for j in route_terms:
a, b = self.branch_offsets[j], self.branch_offsets[j+1]
if b > a:
pieces.append(self.branch_order[a:b])
if not pieces:
return ([], np.empty(0, np.float32)) if return_scores else []
flatpos = np.concatenate(pieces).astype(np.int64, copy=False)
docs = (flatpos // cfg.F).astype(np.int64)
slots = (flatpos % cfg.F).astype(np.int64)
br = self.branches[docs, slots]
terms = self.res_terms[docs, slots]
valid = terms >= 0
safe_terms = np.where(valid, terms, 0)
qv = q_dense[safe_terms]
local = np.sum(
self.res_reliability[docs, slots].astype(np.float32)
* (qv - self.res_center_values[docs, slots])
* self.res_signs[docs, slots].astype(np.float32)
* valid,
axis=1,
)
significance = np.sum((qv * qv) * valid, axis=1)
m = self.memberships[docs, slots]
rho = route_dense[br]
unique_docs, inv = np.unique(docs, return_inverse=True)
head_contrib = m * rho * local * np.power(np.maximum(significance, 0.0), cfg.gamma_head)
tail_contrib = m * rho * local * np.power(np.maximum(significance, 0.0), cfg.gamma_tail)
consensus_contrib = m * rho
head = np.bincount(inv, weights=head_contrib, minlength=len(unique_docs)).astype(np.float32)
tail = np.bincount(inv, weights=tail_contrib, minlength=len(unique_docs)).astype(np.float32)
consensus = np.bincount(inv, weights=consensus_contrib, minlength=len(unique_docs)).astype(np.float32)
tail = tail + cfg.lambda_membership * consensus
# Freeze precision head.
hk = min(cfg.head_k, len(unique_docs))
hidx = np.argpartition(head, -hk)[-hk:]
hidx = hidx[np.argsort(head[hidx])[::-1]]
frozen_docs = unique_docs[hidx]
frozen_set = set(map(int, frozen_docs.tolist()))
# Recall-oriented tail shortlist.
mask_tail = np.asarray([int(d) not in frozen_set for d in unique_docs], dtype=bool)
td = unique_docs[mask_tail]
ts = tail[mask_tail]
if len(td):
P = min(cfg.rerank_pool, len(td))
pidx = np.argpartition(ts, -P)[-P:]
shortlist_docs = td[pidx]
shortlist_tail = ts[pidx]
# Whole-document binary lexical support. This is deliberately term
# presence only; exact within-document TF was found unnecessary.
lex_vec = np.zeros(self.vocab_size, dtype=np.float32)
lex_vec[q.indices] = self.idf[q.indices]
lex = np.zeros(P, dtype=np.float32)
sem_vec = np.zeros(self.vocab_size, dtype=np.float32)
for t, qamp in zip(q.indices, q.data):
a, b = self.A.indptr[t], self.A.indptr[t+1]
nb = self.A.indices[a:b][:cfg.semantic_k]
sv = self.A.data[a:b][:cfg.semantic_k]
if len(nb):
sem_vec[nb] += float(qamp) * sv * self.idf[nb]
sem = np.zeros(P, dtype=np.float32)
for i, d in enumerate(shortlist_docs):
a, b = self.support_indptr[d], self.support_indptr[d+1]
support = self.support_indices[a:b]
lex[i] = float(lex_vec[support].sum())
if cfg.length_b != 0:
denom = (1.0 - cfg.length_b) + cfg.length_b * (float(self.doc_lengths[d]) / self.avg_doc_length)
if denom > 0:
lex[i] /= denom
sem[i] = float(sem_vec[support].sum())
final = zscore(shortlist_tail) + cfg.lambda_lex * zscore(lex) + cfg.lambda_sem * zscore(sem)
oo = np.argsort(final)[::-1]
ranked_tail = shortlist_docs[oo]
ranked_tail_scores = final[oo]
# If caller asks beyond the reranking pool, append remaining tail by
# the cheap score. This does not affect the usual top-100 evaluation.
shortlist_set = set(map(int, shortlist_docs.tolist()))
rest_mask = np.asarray([int(d) not in shortlist_set for d in td], dtype=bool)
rest_docs = td[rest_mask]
rest_scores = ts[rest_mask]
if len(rest_docs):
ro = np.argsort(rest_scores)[::-1]
ranked_tail = np.concatenate([ranked_tail, rest_docs[ro]])
ranked_tail_scores = np.concatenate([ranked_tail_scores, rest_scores[ro]])
else:
ranked_tail = np.empty(0, dtype=np.int64)
ranked_tail_scores = np.empty(0, dtype=np.float32)
ranked = np.concatenate([frozen_docs, ranked_tail])[:k]
# Head and tail score scales differ; scores are only for diagnostics.
hs = head[hidx]
scores = np.concatenate([hs, ranked_tail_scores])[:k]
ids = self.doc_ids[ranked].tolist()
if return_scores:
return ids, scores
return ids
def batch_search(self, queries: dict[str, str], k: int | None = None, timing: bool = False):
run: dict[str, list[str]] = {}
times_ms = []
for qid, text in queries.items():
t0 = time.perf_counter()
run[str(qid)] = self.search(text, k=k)
times_ms.append((time.perf_counter() - t0) * 1000.0)
if timing:
arr = np.asarray(times_ms, dtype=np.float64)
return run, {
"median_ms": float(np.median(arr)),
"mean_ms": float(np.mean(arr)),
"p95_ms": float(np.percentile(arr, 95)),
"qps": float(1000.0 / np.mean(arr)) if np.mean(arr) > 0 else float("inf"),
}
return run
# ------------------------------------------------------------------
# SERIALIZATION
# ------------------------------------------------------------------
def save(self, path: str | os.PathLike, include_tfidf_matrix: bool = False):
p = Path(path)
p.mkdir(parents=True, exist_ok=True)
joblib.dump(self.vectorizer, p / "vectorizer.joblib")
with (p / "config.json").open("w") as f:
json.dump(self.config.to_dict(), f, indent=2)
meta = {
"vocab_size": int(self.vocab_size),
"avg_doc_length": float(self.avg_doc_length),
"build_seconds": float(getattr(self, "build_seconds", 0.0)),
}
with (p / "meta.json").open("w") as f:
json.dump(meta, f, indent=2)
np.savez_compressed(
p / "arrays.npz",
doc_ids=self.doc_ids,
idf=self.idf,
support_indptr=self.support_indptr,
support_indices=self.support_indices,
doc_lengths=self.doc_lengths,
branches=self.branches,
memberships=self.memberships,
branch_order=self.branch_order,
branch_offsets=self.branch_offsets,
center_terms=self.center_terms,
center_values=self.center_values,
res_terms=self.res_terms,
res_signs=self.res_signs,
res_center_values=self.res_center_values,
res_reliability=self.res_reliability,
global_sign_var=self.global_sign_var,
)
sparse.save_npz(p / "assoc_ppmi.npz", self.A)
sparse.save_npz(p / "context_similarity.npz", self.G)
if include_tfidf_matrix and self.X is not None:
sparse.save_npz(p / "tfidf_corpus.npz", self.X)
@classmethod
def load(cls, path: str | os.PathLike) -> "GeometricIndex":
p = Path(path)
with (p / "config.json").open() as f:
cfg = FrozenConfig.from_dict(json.load(f))
self = cls(cfg)
self.vectorizer = joblib.load(p / "vectorizer.joblib")
with (p / "meta.json").open() as f:
meta = json.load(f)
a = np.load(p / "arrays.npz", allow_pickle=True)
for name in a.files:
setattr(self, name, a[name])
self.vocab_size = int(meta["vocab_size"])
self.avg_doc_length = float(meta["avg_doc_length"])
self.build_seconds = float(meta.get("build_seconds", 0.0))
self.A = sparse.load_npz(p / "assoc_ppmi.npz").tocsr()
self.G = sparse.load_npz(p / "context_similarity.npz").tocsr()
tfidf = p / "tfidf_corpus.npz"
self.X = sparse.load_npz(tfidf).tocsr() if tfidf.exists() else None
self._fitted = True
return self
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