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temporal-reasoning
knowledge-graph
question-answering
benchmark
retrieval-augmented-generation
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| """ | |
| TempBench — Temporal KG Indexer | |
| =================================== | |
| Implements the dual-index structure (entity index + interval tree temporal index) | |
| described in the TempBench paper. | |
| Usage: | |
| from indexer import TemporalKGIndexer | |
| indexer = TemporalKGIndexer() | |
| indexer.load_tkgl_smallpedia("path/to/tkgl-smallpedia.csv") | |
| # or from a list of quadruples: | |
| indexer.build(quadruples) | |
| # Query: all triples valid at a given timestamp | |
| valid_triples = indexer.query_valid_at(entity="Q1234", t=2015.5) | |
| # Query: temporally-filtered 1-hop neighbourhood for an anchor entity | |
| neighbourhood = indexer.neighbourhood(entity="Q1234", t_query=2015.5) | |
| """ | |
| from __future__ import annotations | |
| import csv | |
| import json | |
| import math | |
| from collections import defaultdict | |
| from dataclasses import dataclass, field | |
| from typing import Iterator, List, Optional, Tuple | |
| # --------------------------------------------------------------------------- | |
| # Data structures | |
| # --------------------------------------------------------------------------- | |
| class Triple: | |
| """A single timestamped KG quadruple.""" | |
| subject: str | |
| relation: str | |
| obj: str | |
| t_start: float # year as float, e.g. 2015.0 or 2015.583 (Aug) | |
| t_end: float # math.inf for currently-valid facts | |
| def valid_at(self, t: float) -> bool: | |
| return self.t_start <= t <= self.t_end | |
| def to_dict(self) -> dict: | |
| return { | |
| "s": self.subject, | |
| "r": self.relation, | |
| "o": self.obj, | |
| "t_start": self.t_start, | |
| "t_end": self.t_end if not math.isinf(self.t_end) else None, | |
| } | |
| class ValidityWindow: | |
| t_start: float | |
| t_end: float | |
| def intersect(self, other: "ValidityWindow", t_query: float) -> Optional["ValidityWindow"]: | |
| """ | |
| Validity-window intersection clamped to (-inf, t_query], or None if empty. | |
| This is a building block used by benchmark construction; it is NOT the | |
| forward-propagating composability operator (that is defined in the | |
| TempBench paper). | |
| """ | |
| new_start = max(self.t_start, other.t_start) | |
| new_end = min(self.t_end, other.t_end, t_query) | |
| if new_start <= new_end: | |
| return ValidityWindow(new_start, new_end) | |
| return None | |
| def full(cls) -> "ValidityWindow": | |
| return cls(t_start=-math.inf, t_end=math.inf) | |
| def is_empty(self) -> bool: | |
| return self.t_start > self.t_end | |
| # --------------------------------------------------------------------------- | |
| # Interval tree node (simple augmented BST) | |
| # --------------------------------------------------------------------------- | |
| class _IntervalNode: | |
| """Node in an augmented interval tree for O(log n) stabbing queries.""" | |
| def __init__(self, triple: Triple): | |
| self.triple = triple | |
| self.max_end = triple.t_end | |
| self.left: Optional[_IntervalNode] = None | |
| self.right: Optional[_IntervalNode] = None | |
| def update_max(self): | |
| self.max_end = self.triple.t_end | |
| if self.left: | |
| self.max_end = max(self.max_end, self.left.max_end) | |
| if self.right: | |
| self.max_end = max(self.max_end, self.right.max_end) | |
| class IntervalTree: | |
| """ | |
| Temporal index over triple validity windows using a sorted flat array + bisect. | |
| Handles 500K+ records without recursion limits. | |
| For point-in-time TKGs (t_start == t_end, e.g. tkgl-smallpedia), uses a | |
| timestamp bucket dict for O(1) exact-match lookup. | |
| For interval TKGs, uses bisect over sorted t_start array + t_end filter. | |
| Stabbing query: 'all triples whose [t_start, t_end] contains t'. | |
| """ | |
| def __init__(self): | |
| self._triples: List[Triple] = [] # all triples, unsorted until finalised | |
| self._sorted_starts: List[float] = [] # sorted t_start values (parallel to _sorted) | |
| self._sorted: List[Triple] = [] # triples sorted by t_start | |
| self._buckets: defaultdict[float, List[Triple]] = defaultdict(list) # for point-in-time | |
| self._finalised = False | |
| self._size = 0 | |
| def __len__(self) -> int: | |
| return self._size | |
| def insert(self, triple: Triple) -> None: | |
| self._triples.append(triple) | |
| self._buckets[triple.t_start].append(triple) | |
| self._size += 1 | |
| self._finalised = False | |
| def _finalise(self) -> None: | |
| """Sort triples by t_start for bisect queries. Called lazily before first stab.""" | |
| self._sorted = sorted(self._triples, key=lambda t: t.t_start) | |
| self._sorted_starts = [t.t_start for t in self._sorted] | |
| self._finalised = True | |
| def stab(self, t: float) -> List[Triple]: | |
| """Return all triples valid at time t (i.e. t_start <= t <= t_end).""" | |
| if not self._finalised: | |
| self._finalise() | |
| import bisect | |
| # All triples with t_start <= t | |
| right_idx = bisect.bisect_right(self._sorted_starts, t) | |
| # Filter for t_end >= t | |
| return [tr for tr in self._sorted[:right_idx] if tr.t_end >= t] | |
| # --------------------------------------------------------------------------- | |
| # Main indexer | |
| # --------------------------------------------------------------------------- | |
| class TemporalKGIndexer: | |
| """ | |
| Dual-index structure over a temporal knowledge graph. | |
| Attributes | |
| ---------- | |
| entity_index : dict[str, list[Triple]] | |
| Maps each entity (subject or object) to all its triples. | |
| temporal_index : IntervalTree | |
| Interval tree over all triples for O(log n) temporal filtering. | |
| """ | |
| def __init__(self): | |
| self.entity_index: defaultdict[str, List[Triple]] = defaultdict(list) | |
| self.temporal_index: IntervalTree = IntervalTree() | |
| self._all_triples: List[Triple] = [] | |
| # ------------------------------------------------------------------ | |
| # Loading | |
| # ------------------------------------------------------------------ | |
| def build(self, quadruples: List[Tuple[str, str, str, float, float]]) -> None: | |
| """ | |
| Build index from a list of (subject, relation, object, t_start, t_end) tuples. | |
| t_end = None or math.inf means currently valid. | |
| """ | |
| for s, r, o, t_start, t_end in quadruples: | |
| t_end = t_end if (t_end is not None and not math.isnan(t_end)) else math.inf | |
| triple = Triple(subject=s, relation=r, obj=o, t_start=t_start, t_end=t_end) | |
| self._index_triple(triple) | |
| def load_tkgl_smallpedia(self, path: str, delimiter: str = ",") -> None: | |
| """ | |
| Load tkgl-smallpedia from TGB 2.0 edge file. | |
| Handles the actual TGB 2.0 format: ts,head,tail,relation_type | |
| where ts is a point-in-time year (event-based TKG). | |
| Each event is normalised to interval [ts, ts]. | |
| """ | |
| count = 0 | |
| with open(path, "r", encoding="utf-8") as f: | |
| reader = csv.DictReader(f, delimiter=delimiter) | |
| for row in reader: | |
| # TGB 2.0 tkgl-smallpedia format: ts, head, tail, relation_type | |
| if "ts" in row: | |
| t = float(row["ts"]) | |
| triple = Triple( | |
| subject=row["head"], | |
| relation=row["relation_type"], | |
| obj=row["tail"], | |
| t_start=t, | |
| t_end=t, # point-in-time event normalised to [t, t] | |
| ) | |
| # Fallback: generic interval format | |
| else: | |
| t_start = float(row.get("start_time", row.get("t_start", 0))) | |
| raw_end = row.get("end_time", row.get("t_end", None)) | |
| t_end = float(raw_end) if raw_end and raw_end.strip() not in ("", "None", "nan") else math.inf | |
| triple = Triple( | |
| subject=row.get("subject", row.get("head", "")), | |
| relation=row.get("relation", row.get("relation_type", "")), | |
| obj=row.get("object", row.get("tail", "")), | |
| t_start=t_start, | |
| t_end=t_end, | |
| ) | |
| self._index_triple(triple) | |
| count += 1 | |
| print(f"[Indexer] Loaded {count:,} triples from {path}") | |
| def load_from_json(self, path: str) -> None: | |
| """Load from a JSON list of {s, r, o, t_start, t_end?} dicts.""" | |
| with open(path, "r", encoding="utf-8") as f: | |
| data = json.load(f) | |
| for item in data: | |
| t_end = item.get("t_end", None) | |
| triple = Triple( | |
| subject=item["s"], | |
| relation=item["r"], | |
| obj=item["o"], | |
| t_start=float(item["t_start"]), | |
| t_end=float(t_end) if t_end is not None else math.inf, | |
| ) | |
| self._index_triple(triple) | |
| print(f"[Indexer] Loaded {len(self._all_triples):,} triples from {path}") | |
| def _index_triple(self, triple: Triple) -> None: | |
| self._all_triples.append(triple) | |
| self.entity_index[triple.subject].append(triple) | |
| self.entity_index[triple.obj].append(triple) | |
| self.temporal_index.insert(triple) | |
| # ------------------------------------------------------------------ | |
| # Event-based normalisation (ICEWS-style) | |
| # ------------------------------------------------------------------ | |
| def normalise_event(s: str, r: str, o: str, t: float) -> Triple: | |
| """Convert a point-in-time event (s, r, o, t) to interval form [t, t].""" | |
| return Triple(subject=s, relation=r, obj=o, t_start=t, t_end=t) | |
| # ------------------------------------------------------------------ | |
| # Query interface | |
| # ------------------------------------------------------------------ | |
| def neighbourhood(self, entity: str, t_query: float) -> List[Triple]: | |
| """ | |
| Return the temporally-filtered 1-hop neighbourhood of `entity` at `t_query`. | |
| i.e., all triples (entity, r, o, τ) or (s, r, entity, τ) where t_query ∈ τ. | |
| O(degree(entity)) — filtered from entity index. | |
| """ | |
| return [t for t in self.entity_index.get(entity, []) if t.valid_at(t_query)] | |
| def query_valid_at(self, t: float) -> List[Triple]: | |
| """ | |
| Return all triples in the graph valid at time t. | |
| Uses interval tree for O(log n + k) performance. | |
| """ | |
| return self.temporal_index.stab(t) | |
| def entities_for_query(self, t_query: float, mention: str) -> List[str]: | |
| """ | |
| Simple entity linking: return all entities containing `mention` as substring. | |
| Replace with a proper entity linker (e.g. ELQ, BLINK) in production. | |
| """ | |
| return [e for e in self.entity_index if mention.lower() in e.lower()] | |
| # ------------------------------------------------------------------ | |
| # Chain validity-window intersection (benchmark/SFT construction only) | |
| # ------------------------------------------------------------------ | |
| def compose(window: ValidityWindow, triple: Triple, t_query: float) -> Optional[ValidityWindow]: | |
| """ | |
| Extend `window` by `triple` via validity-window intersection clamped to | |
| t_query. Used only in benchmark/SFT-data construction, not at inference | |
| (the retriever uses the per-hop valid_at(t_q) filter via neighbourhood()). | |
| Returns None if the composed window is empty. | |
| """ | |
| hop_window = ValidityWindow(triple.t_start, triple.t_end) | |
| return window.intersect(hop_window, t_query) | |
| # ------------------------------------------------------------------ | |
| # Sinusoidal temporal encoding | |
| # ------------------------------------------------------------------ | |
| def temporal_encoding(t: float, dim: int = 64) -> List[float]: | |
| """ | |
| Sinusoidal temporal positional encoding (following POSTRA, N04). | |
| Encodes a year float into a `dim`-dimensional vector. | |
| """ | |
| encoding = [] | |
| for i in range(0, dim, 2): | |
| freq = 1.0 / (10000 ** (i / dim)) | |
| encoding.append(math.sin(t * freq)) | |
| encoding.append(math.cos(t * freq)) | |
| return encoding[:dim] | |
| # ------------------------------------------------------------------ | |
| # Statistics | |
| # ------------------------------------------------------------------ | |
| def stats(self) -> dict: | |
| n_triples = len(self._all_triples) | |
| n_entities = len(self.entity_index) | |
| n_relations = len({t.relation for t in self._all_triples}) | |
| n_open_ended = sum(1 for t in self._all_triples if math.isinf(t.t_end)) | |
| n_inferred = 0 # populated during annotation phase; update after tagger runs | |
| return { | |
| "n_triples": n_triples, | |
| "n_entities": n_entities, | |
| "n_relations": n_relations, | |
| "n_currently_valid": n_open_ended, | |
| "n_inferred_windows": n_inferred, | |
| "pct_timestamped": round(100 * (n_triples - n_inferred) / max(n_triples, 1), 1), | |
| } | |
| def __repr__(self) -> str: | |
| s = self.stats() | |
| return ( | |
| f"TemporalKGIndexer(" | |
| f"{s['n_triples']:,} triples, " | |
| f"{s['n_entities']:,} entities, " | |
| f"{s['n_relations']:,} relations, " | |
| f"{s['pct_timestamped']}% explicitly timestamped)" | |
| ) | |
| # --------------------------------------------------------------------------- | |
| # LLM timestamp tagger scaffold | |
| # --------------------------------------------------------------------------- | |
| class LLMTimestampTagger: | |
| """ | |
| Scaffold for the LLM-based temporal tagger used when KG metadata lacks | |
| explicit timestamps (validity-window annotation). | |
| Replace `_call_llm` with your actual LLM API call. | |
| """ | |
| PROMPT_TEMPLATE = """ | |
| You are a temporal fact extractor. Given a knowledge graph triple and its associated text, | |
| extract the validity period of the fact as a start year and end year. | |
| Triple: ({subject}, {relation}, {object}) | |
| Associated text: {text} | |
| Respond in JSON: | |
| {{"t_start": <year as float or null>, "t_end": <year as float or null, null if currently valid>}} | |
| If no temporal information is available, respond with {{"t_start": null, "t_end": null}}. | |
| """.strip() | |
| def __init__(self, llm_client=None, default_window_width: float = 50.0): | |
| """ | |
| Args: | |
| llm_client: any object with a .complete(prompt: str) -> str method. | |
| default_window_width: fallback window width (years) for triples | |
| where the tagger returns null (low confidence). | |
| """ | |
| self.llm_client = llm_client | |
| self.default_window_width = default_window_width | |
| def infer_window(self, triple: Triple, associated_text: str = "") -> Tuple[float, float]: | |
| """ | |
| Infer a validity window for a triple lacking explicit timestamps. | |
| Returns (t_start, t_end); t_end = math.inf if currently valid. | |
| """ | |
| if self.llm_client is None: | |
| # Fallback: return a wide default window centred on 1990 | |
| return (1900.0, math.inf) | |
| prompt = self.PROMPT_TEMPLATE.format( | |
| subject=triple.subject, | |
| relation=triple.relation, | |
| object=triple.obj, | |
| text=associated_text, | |
| ) | |
| try: | |
| response = self._call_llm(prompt) | |
| data = json.loads(response) | |
| t_start = float(data["t_start"]) if data.get("t_start") is not None else 1900.0 | |
| t_end = float(data["t_end"]) if data.get("t_end") is not None else math.inf | |
| return (t_start, t_end) | |
| except Exception: | |
| return (1900.0, math.inf) | |
| def _call_llm(self, prompt: str) -> str: | |
| """Override this with your actual LLM API call.""" | |
| return self.llm_client.complete(prompt) | |
| # --------------------------------------------------------------------------- | |
| # Quick test | |
| # --------------------------------------------------------------------------- | |
| if __name__ == "__main__": | |
| # Smoke test with synthetic quadruples | |
| indexer = TemporalKGIndexer() | |
| indexer.build([ | |
| ("Deutsche_Bank", "has_CFO", "John_Cryan", 2015.0, 2018.0), | |
| ("Deutsche_Bank", "has_CFO", "Christian_Sewing", 2018.0, math.inf), | |
| ("Deutsche_Bank", "settled", "LIBOR_Case", 2015.25, 2015.25), | |
| ("John_Cryan", "member_of", "Deutsche_Bank", 2015.0, 2018.0), | |
| ("Christian_Sewing", "member_of", "Deutsche_Bank", 2018.0, math.inf), | |
| ]) | |
| print(indexer) | |
| print() | |
| # Test 1: neighbourhood at query time 2015 | |
| nbrs = indexer.neighbourhood("Deutsche_Bank", t_query=2015.5) | |
| print(f"Deutsche_Bank neighbourhood at 2015.5: {len(nbrs)} triples") | |
| for t in nbrs: | |
| print(f" ({t.subject}, {t.relation}, {t.obj}) [{t.t_start}–{t.t_end}]") | |
| print() | |
| # Test 2: composability operator | |
| w = ValidityWindow.full() | |
| for triple in nbrs[:2]: | |
| composed = TemporalKGIndexer.compose(w, triple, t_query=2015.5) | |
| if composed: | |
| print(f"Composed window after ({triple.relation}): [{composed.t_start}, {composed.t_end}]") | |
| w = composed | |
| else: | |
| print(f"Chain broken at ({triple.relation}) — temporally inconsistent") | |
| print() | |
| # Test 3: temporal encoding | |
| enc = TemporalKGIndexer.temporal_encoding(2015.5, dim=8) | |
| print(f"Temporal encoding for 2015.5 (dim=8): {[round(x, 4) for x in enc]}") | |