| 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) |
|
|
| |
| 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] |
|
|
| |
| 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) |
|
|
| |
| 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) |
| ) |
|
|
| |
| 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} |
|
|
| |
| 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]))] |
|
|
| |
| 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)) |
|
|
| |
| 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 |
|
|