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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
# ---------------------------------------------------------------------------
@dataclass(frozen=True)
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,
}
@dataclass
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
@classmethod
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)
# ------------------------------------------------------------------
@staticmethod
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)
# ------------------------------------------------------------------
@staticmethod
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
# ------------------------------------------------------------------
@staticmethod
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]}")
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