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import json
import math
import re
from collections import Counter
from dataclasses import asdict, dataclass
from osint_env.domain.models import CanonicalGraph, Edge, TaskInstance
@dataclass(slots=True)
class RewardModel:
relation_idf: dict[str, float]
max_relation_idf: float
hub_penalty: dict[str, float]
max_hub_penalty: float
type_priors: dict[tuple[str, str, str], float]
@dataclass(slots=True)
class EdgeRewardBreakdown:
total: float
global_accuracy: float
soft_shaping: float
efficiency: float
diversity: float
relation_informativeness: float
entity_informativeness: float
connectivity_gain: float
def to_dict(self) -> dict[str, float]:
return asdict(self)
@dataclass(slots=True)
class AnswerRewardBreakdown:
total: float
format_reward: float
correctness: float
knowledge_carrier: float
knowledge_indexing: float
connectivity: float
graph_f1: float
efficiency: float
compactness: float
relation_informativeness: float
entity_informativeness: float
repetition_penalty: float
def to_dict(self) -> dict[str, float]:
return asdict(self)
def _normalize_difficulty(value: str) -> str:
token = str(value or "").strip().lower()
if token in {"easy", "e"}:
return "easy"
if token in {"mid", "medium", "m"}:
return "medium"
if token in {"high", "hard", "h"}:
return "hard"
return "hard"
def build_reward_model(graph: CanonicalGraph) -> RewardModel:
relation_freq: Counter[str] = Counter(e.rel for e in graph.edges)
total_edges = max(1, len(graph.edges))
relation_idf = {
rel: math.log((1.0 + total_edges) / (1.0 + freq)) + 1.0 for rel, freq in relation_freq.items()
}
max_relation_idf = max(relation_idf.values()) if relation_idf else 1.0
degree: Counter[str] = Counter()
for edge in graph.edges:
degree[edge.src] += 1
degree[edge.dst] += 1
hub_penalty = {node_id: math.log(1.0 + deg) for node_id, deg in degree.items()}
max_hub_penalty = max(hub_penalty.values()) if hub_penalty else 1.0
type_counts: Counter[tuple[str, str, str]] = Counter()
rel_counts: Counter[str] = Counter()
for edge in graph.edges:
src = graph.nodes.get(edge.src)
dst = graph.nodes.get(edge.dst)
if src is None or dst is None:
continue
key = (str(src.node_type.value), edge.rel, str(dst.node_type.value))
type_counts[key] += 1
rel_counts[edge.rel] += 1
type_priors = {
key: count / max(1, rel_counts[key[1]]) for key, count in type_counts.items()
}
return RewardModel(
relation_idf=relation_idf,
max_relation_idf=max_relation_idf,
hub_penalty=hub_penalty,
max_hub_penalty=max_hub_penalty,
type_priors=type_priors,
)
def edge_in_truth(edge: Edge, task: TaskInstance) -> bool:
return any(e.src == edge.src and e.rel == edge.rel and e.dst == edge.dst for e in task.supporting_edges)
def _cosine(a: Counter[str], b: Counter[str]) -> float:
common = set(a) & set(b)
num = sum(a[t] * b[t] for t in common)
den = math.sqrt(sum(v * v for v in a.values())) * math.sqrt(sum(v * v for v in b.values()))
return (num / den) if den else 0.0
def _edge_signature(edge: Edge) -> Counter[str]:
# Approximate path/edge embedding using relation and endpoint prefixes.
src_prefix = edge.src.split("_", 1)[0]
dst_prefix = edge.dst.split("_", 1)[0]
return Counter({f"rel:{edge.rel}": 2, f"src:{src_prefix}": 1, f"dst:{dst_prefix}": 1})
def _soft_fact_score(edge: Edge, model: RewardModel, graph: CanonicalGraph) -> float:
if any(e.src == edge.src and e.rel == edge.rel and e.dst == edge.dst for e in graph.edges):
return 1.0
src = graph.nodes.get(edge.src)
dst = graph.nodes.get(edge.dst)
if src is None or dst is None:
return 0.0
type_key = (str(src.node_type.value), edge.rel, str(dst.node_type.value))
prior = model.type_priors.get(type_key, 0.0)
# A tiny domain heuristic: alias links are common and worth soft credit even without exact support edge.
alias_bias = 0.2 if (edge.rel == "alias_of" and edge.src.startswith("alias_") and edge.dst.startswith("user_")) else 0.0
relation_exists = any(e.rel == edge.rel for e in graph.edges)
relation_bonus = 0.1 if relation_exists else 0.0
return max(0.0, min(1.0, 0.1 + (0.65 * prior) + alias_bias + relation_bonus))
def _normalized_relation_info(rel: str, model: RewardModel) -> float:
idf = model.relation_idf.get(rel, 1.0)
return idf / max(1e-6, model.max_relation_idf)
def _normalized_entity_info(src: str, dst: str, model: RewardModel) -> float:
src_h = model.hub_penalty.get(src, 0.0)
dst_h = model.hub_penalty.get(dst, 0.0)
mean_hub = (src_h + dst_h) / 2.0
# UniRel-style preference for low-degree intermediates: lower hub penalty -> higher informativeness.
return 1.0 - (mean_hub / max(1e-6, model.max_hub_penalty))
def _is_reachable_undirected(edges: list[Edge], src: str, dst: str) -> bool:
if src == dst:
return True
adj: dict[str, set[str]] = {}
for edge in edges:
adj.setdefault(edge.src, set()).add(edge.dst)
adj.setdefault(edge.dst, set()).add(edge.src)
seen = {src}
stack = [src]
while stack:
node = stack.pop()
for nxt in adj.get(node, set()):
if nxt == dst:
return True
if nxt not in seen:
seen.add(nxt)
stack.append(nxt)
return False
def _connectivity_gain(edge: Edge, existing_edges: list[Edge]) -> float:
# Reward edges that bridge disconnected regions and penalize already-connected shortcuts.
if edge.src == edge.dst:
return -0.06
already_connected = _is_reachable_undirected(existing_edges, edge.src, edge.dst)
if already_connected:
return -0.03
return 0.10
def _sigmoid_temperature(value: float, temperature: float = 2.0) -> float:
scaled = float(value) / max(1e-6, float(temperature))
if scaled >= 0:
z = math.exp(-scaled)
return 1.0 / (1.0 + z)
z = math.exp(scaled)
return z / (1.0 + z)
def compute_edge_reward(
edge: Edge,
task: TaskInstance,
existing_edges: list[Edge],
step_count: int,
model: RewardModel,
graph: CanonicalGraph,
difficulty: str = "hard",
) -> EdgeRewardBreakdown:
in_truth = edge_in_truth(edge, task)
difficulty_level = _normalize_difficulty(difficulty)
# DeepPath-inspired global accuracy term.
global_accuracy = 0.85 if in_truth else -0.55
# D18 reward shaping: R = Rb + (1 - Rb) * f, where f is a soft fact plausibility score.
base_reward = 1.0 if in_truth else 0.0
shaped = base_reward + ((1.0 - base_reward) * _soft_fact_score(edge, model, graph))
soft_shaping = 0.30 * (shaped - 0.5)
# DeepPath-inspired efficiency term: earlier useful edges are better.
efficiency = 0.10 * (1.0 / max(1, step_count))
# DeepPath-inspired diversity term: discourage repeated edge patterns.
if not existing_edges:
diversity = 0.08
else:
new_sig = _edge_signature(edge)
avg_similarity = sum(_cosine(new_sig, _edge_signature(e)) for e in existing_edges) / len(existing_edges)
novelty = 1.0 - avg_similarity
diversity = 0.14 * (novelty - 0.5)
# UniRel-style informativeness terms.
relation_informativeness = 0.12 * (_normalized_relation_info(edge.rel, model) - 0.5)
entity_informativeness = 0.12 * (_normalized_entity_info(edge.src, edge.dst, model) - 0.5)
# Additional structural utility shaping for KG construction.
connectivity_gain = _connectivity_gain(edge, existing_edges)
if difficulty_level == "easy":
global_accuracy = 0.75 if in_truth else -0.45
soft_shaping = 0.0
diversity = 0.0
relation_informativeness = 0.0
entity_informativeness = 0.0
connectivity_gain = 0.0
efficiency = 0.15 * (1.0 / max(1, step_count))
elif difficulty_level == "medium":
diversity = 0.0
relation_informativeness = 0.0
entity_informativeness = 0.0
raw_total = (
global_accuracy
+ soft_shaping
+ efficiency
+ diversity
+ relation_informativeness
+ entity_informativeness
+ connectivity_gain
)
total = _sigmoid_temperature(raw_total, temperature=2.0)
return EdgeRewardBreakdown(
total=total,
global_accuracy=global_accuracy,
soft_shaping=soft_shaping,
efficiency=efficiency,
diversity=diversity,
relation_informativeness=relation_informativeness,
entity_informativeness=entity_informativeness,
connectivity_gain=connectivity_gain,
)
def _connectivity_ratio(pred_edges: list[Edge], task: TaskInstance) -> float:
nodes = {e.src for e in task.supporting_edges} | {e.dst for e in task.supporting_edges}
if len(nodes) <= 1:
return 1.0
adj: dict[str, set[str]] = {}
for edge in pred_edges:
adj.setdefault(edge.src, set()).add(edge.dst)
adj.setdefault(edge.dst, set()).add(edge.src)
start = next(iter(nodes))
seen = {start}
stack = [start]
while stack:
cur = stack.pop()
for nxt in adj.get(cur, set()):
if nxt not in seen:
seen.add(nxt)
stack.append(nxt)
return len(seen & nodes) / max(1, len(nodes))
def _knowledge_indexing_recall(task: TaskInstance, tool_outputs: list[dict[str, object]]) -> float:
gold_terms = {task.answer.lower()}
for edge in task.supporting_edges:
gold_terms.add(edge.src.lower())
gold_terms.add(edge.dst.lower())
gold_terms.add(edge.rel.lower())
serialized = json.dumps(tool_outputs).lower()
covered = sum(1 for term in gold_terms if term and term in serialized)
return covered / max(1, len(gold_terms))
def _knowledge_carrier_reward(pred_edges: list[Edge], task: TaskInstance) -> float:
pred = {(e.src, e.rel, e.dst) for e in pred_edges}
truth = {(e.src, e.rel, e.dst) for e in task.supporting_edges}
deducible = bool(truth & pred)
return 0.4 if deducible else -0.2
def _extract_query_entities(question: str) -> set[str]:
pattern = r"\b(?:alias|user|org|loc|post|thr|thread|event)_[a-zA-Z0-9_]+\b"
return set(re.findall(pattern, question))
def _max_connected_seed_count(pred_edges: list[Edge], seeds: set[str]) -> int:
if not seeds:
return 0
adj: dict[str, set[str]] = {}
for edge in pred_edges:
adj.setdefault(edge.src, set()).add(edge.dst)
adj.setdefault(edge.dst, set()).add(edge.src)
best = 1
for seed in seeds:
seen = {seed}
stack = [seed]
while stack:
cur = stack.pop()
for nxt in adj.get(cur, set()):
if nxt not in seen:
seen.add(nxt)
stack.append(nxt)
connected_seed_count = len(seeds & seen)
best = max(best, connected_seed_count)
return best
def _unirel_connectivity_score(pred_edges: list[Edge], seeds: set[str]) -> float:
# UniRel-style discrete connectivity range projected to [-1, 1] for stable weighting.
n = len(seeds)
if n <= 1:
return 0.0
connected = _max_connected_seed_count(pred_edges, seeds)
raw = -math.floor(n / 2) + max(0, connected - 1)
lo = -math.floor(n / 2)
hi = math.ceil(n / 2) - 1
if hi <= lo:
return 0.0
return ((raw - lo) / (hi - lo)) * 2.0 - 1.0
def _subgraph_relation_informativeness(pred_edges: list[Edge], model: RewardModel | None) -> float:
if not pred_edges or model is None:
return 0.0
avg = sum(_normalized_relation_info(edge.rel, model) for edge in pred_edges) / len(pred_edges)
return avg - 0.5
def _subgraph_entity_informativeness(pred_edges: list[Edge], model: RewardModel | None) -> float:
if not pred_edges or model is None:
return 0.0
avg = sum(_normalized_entity_info(edge.src, edge.dst, model) for edge in pred_edges) / len(pred_edges)
return avg - 0.5
def _relation_repetition_ratio(pred_edges: list[Edge]) -> float:
if len(pred_edges) <= 1:
return 0.0
rels = [edge.rel for edge in pred_edges]
unique = len(set(rels))
return 1.0 - (unique / len(rels))
def _deducible_answer(proposed_answer: str, task: TaskInstance, pred_edges: list[Edge]) -> bool:
if proposed_answer != task.answer:
return False
truth = {(edge.src, edge.rel, edge.dst) for edge in task.supporting_edges}
pred = {(edge.src, edge.rel, edge.dst) for edge in pred_edges}
if truth & pred:
return True
seeds = _extract_query_entities(task.question)
if not seeds:
return False
for seed in seeds:
if _is_reachable_undirected(pred_edges, seed, proposed_answer):
return True
return False
def compute_answer_reward(
proposed_answer: str,
task: TaskInstance,
pred_edges: list[Edge],
tool_outputs: list[dict[str, object]],
step_count: int,
model: RewardModel | None = None,
difficulty: str = "hard",
) -> AnswerRewardBreakdown:
difficulty_level = _normalize_difficulty(difficulty)
format_reward = 0.15 if proposed_answer else -0.55
correctness = 1.15 if proposed_answer == task.answer else -1.0
# AutoGraph-R1 style task utility decomposition.
knowledge_carrier = 0.50 if _deducible_answer(proposed_answer, task, pred_edges) else -0.25
knowledge_indexing = 0.45 * _knowledge_indexing_recall(task, tool_outputs)
# UniRel-style connectivity over seed entities.
seed_entities = _extract_query_entities(task.question)
seed_entities.add(task.answer)
connectivity = 0.30 * _unirel_connectivity_score(pred_edges, seed_entities)
graph_f1 = 0.55 * compute_graph_f1(pred_edges, task.supporting_edges)
efficiency = 0.12 * (1.0 / max(1, step_count))
extra_edges = max(0, len(pred_edges) - len(task.supporting_edges))
compactness = -0.05 * extra_edges
relation_informativeness = 0.12 * _subgraph_relation_informativeness(pred_edges, model)
entity_informativeness = 0.12 * _subgraph_entity_informativeness(pred_edges, model)
# AutoGraph-R1 repetition control variant used in larger models.
repetition_penalty = -0.10 * _relation_repetition_ratio(pred_edges)
if difficulty_level == "easy":
knowledge_carrier = 0.0
knowledge_indexing = 0.25 * _knowledge_indexing_recall(task, tool_outputs)
connectivity = 0.0
graph_f1 = 0.0
efficiency = 0.18 * (1.0 / max(1, step_count))
compactness = 0.0
relation_informativeness = 0.0
entity_informativeness = 0.0
repetition_penalty = 0.0
elif difficulty_level == "medium":
connectivity = 0.18 * _unirel_connectivity_score(pred_edges, seed_entities)
graph_f1 = 0.35 * compute_graph_f1(pred_edges, task.supporting_edges)
compactness = -0.04 * extra_edges
relation_informativeness = 0.0
entity_informativeness = 0.0
repetition_penalty = 0.0
raw_total = (
format_reward
+ correctness
+ knowledge_carrier
+ knowledge_indexing
+ connectivity
+ graph_f1
+ efficiency
+ compactness
+ relation_informativeness
+ entity_informativeness
+ repetition_penalty
)
total = _sigmoid_temperature(raw_total, temperature=2.0)
return AnswerRewardBreakdown(
total=total,
format_reward=format_reward,
correctness=correctness,
knowledge_carrier=knowledge_carrier,
knowledge_indexing=knowledge_indexing,
connectivity=connectivity,
graph_f1=graph_f1,
efficiency=efficiency,
compactness=compactness,
relation_informativeness=relation_informativeness,
entity_informativeness=entity_informativeness,
repetition_penalty=repetition_penalty,
)
def compute_graph_f1(pred_edges: list[Edge], truth_edges: list[Edge]) -> float:
pred = {(e.src, e.rel, e.dst) for e in pred_edges}
truth = {(e.src, e.rel, e.dst) for e in truth_edges}
if not pred and not truth:
return 1.0
if not pred or not truth:
return 0.0
tp = len(pred & truth)
p = tp / len(pred) if pred else 0.0
r = tp / len(truth) if truth else 0.0
return (2 * p * r / (p + r)) if (p + r) else 0.0
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