aether-core / aether /knowledge.py
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"""
AETHER Knowledge Graph Engine.
Integrates PyTorch Geometric patterns for relational reasoning:
- RGCN for node classification on knowledge graphs
- ComplEx for link prediction
- Neuro-symbolic bridge: learned attention over symbolic rules
"""
import torch
import torch.nn as nn
import torch.nn.functional as F
from typing import Dict, List, Any, Optional, Tuple
import networkx as nx
import numpy as np
import logging
logger = logging.getLogger("AETHER.Knowledge")
class RGCNLayer(nn.Module):
"""Simplified RGCN layer for knowledge graph reasoning."""
def __init__(self, in_dim: int, out_dim: int, num_relations: int,
num_bases: int = 4):
super().__init__()
self.in_dim = in_dim
self.out_dim = out_dim
self.num_relations = num_relations
self.num_bases = num_bases
self.bases = nn.Parameter(torch.Tensor(num_bases, in_dim, out_dim))
self.comp = nn.Parameter(torch.Tensor(num_relations, num_bases))
self.self_loop = nn.Parameter(torch.Tensor(in_dim, out_dim))
self.bias = nn.Parameter(torch.Tensor(out_dim))
self.reset_parameters()
def reset_parameters(self):
nn.init.xavier_uniform_(self.bases)
nn.init.xavier_uniform_(self.comp)
nn.init.xavier_uniform_(self.self_loop)
nn.init.zeros_(self.bias)
def forward(self, x: Optional[torch.Tensor], edge_index: torch.Tensor,
edge_type: torch.Tensor) -> torch.Tensor:
num_nodes = int(edge_index.max().item()) + 1 if x is None else x.size(0)
if x is None:
x = torch.eye(num_nodes, self.in_dim, device=edge_index.device)
weight = torch.einsum('rb, bio -> rio', self.comp, self.bases)
out = torch.zeros(num_nodes, self.out_dim, device=x.device)
for rel_id in range(self.num_relations):
mask = edge_type == rel_id
if mask.sum() == 0:
continue
rel_edges = edge_index[:, mask]
source = rel_edges[0]
target = rel_edges[1]
messages = torch.mm(x[source], weight[rel_id])
out.index_add_(0, target, messages)
out = out + torch.mm(x, self.self_loop)
out = out + self.bias
return out
class KnowledgeGraphEncoder(nn.Module):
"""Multi-layer RGCN encoder for knowledge graph embeddings."""
def __init__(self, num_nodes: int, hidden_dim: int, num_relations: int,
num_layers: int = 2, num_bases: int = 4):
super().__init__()
self.num_nodes = num_nodes
self.hidden_dim = hidden_dim
self.num_relations = num_relations
self.node_embeddings = nn.Embedding(num_nodes, hidden_dim)
self.layers = nn.ModuleList([
RGCNLayer(
in_dim=hidden_dim if i == 0 else hidden_dim,
out_dim=hidden_dim,
num_relations=num_relations,
num_bases=num_bases,
)
for i in range(num_layers)
])
self.norms = nn.ModuleList([
nn.LayerNorm(hidden_dim)
for _ in range(num_layers)
])
def forward(self, edge_index: torch.Tensor,
edge_type: torch.Tensor) -> torch.Tensor:
num_nodes = int(edge_index.max().item()) + 1
x = self.node_embeddings(torch.arange(num_nodes, device=edge_index.device))
for layer, norm in zip(self.layers, self.norms):
x_new = layer(x, edge_index, edge_type)
x_new = F.relu(norm(x_new))
x = x_new
return x
class ComplExScorer(nn.Module):
"""ComplEx link prediction scorer for knowledge graph completion."""
def __init__(self, num_nodes: int, num_relations: int, hidden_dim: int = 50):
super().__init__()
self.num_nodes = num_nodes
self.num_relations = num_relations
self.hidden_dim = hidden_dim
self.head_real = nn.Embedding(num_nodes, hidden_dim)
self.head_imag = nn.Embedding(num_nodes, hidden_dim)
self.tail_real = nn.Embedding(num_nodes, hidden_dim)
self.tail_imag = nn.Embedding(num_nodes, hidden_dim)
self.rel_real = nn.Embedding(num_relations, hidden_dim)
self.rel_imag = nn.Embedding(num_relations, hidden_dim)
self.reset_parameters()
def reset_parameters(self):
for param in self.parameters():
nn.init.xavier_uniform_(param)
def forward(self, head_idx: torch.Tensor, rel_idx: torch.Tensor,
tail_idx: torch.Tensor) -> torch.Tensor:
hr = self.head_real(head_idx)
hi = self.head_imag(head_idx)
tr = self.tail_real(tail_idx)
ti = self.tail_imag(tail_idx)
rr = self.rel_real(rel_idx)
ri = self.rel_imag(rel_idx)
score = torch.sum(
hr * rr * tr + hr * ri * ti + hi * rr * ti - hi * ri * tr,
dim=-1
)
return score
def loss(self, head_idx: torch.Tensor, rel_idx: torch.Tensor,
tail_idx: torch.Tensor, negative_head: torch.Tensor = None,
negative_tail: torch.Tensor = None) -> torch.Tensor:
pos_score = self.forward(head_idx, rel_idx, tail_idx)
if negative_head is not None:
neg_score = self.forward(negative_head, rel_idx, tail_idx)
elif negative_tail is not None:
neg_score = self.forward(head_idx, rel_idx, negative_tail)
else:
neg_tail = torch.randint(0, self.num_nodes, tail_idx.size(),
device=tail_idx.device)
neg_score = self.forward(head_idx, rel_idx, neg_tail)
pos_loss = F.softplus(-pos_score)
neg_loss = F.softplus(neg_score)
return (pos_loss + neg_loss).mean()
class KnowledgeGraphEngine(nn.Module):
"""
Unified knowledge graph engine combining:
- NetworkX for graph construction and symbolic reasoning
- RGCN for learned embeddings
- ComplEx for link prediction
- Neuro-symbolic bridge for AETHER integration
"""
def __init__(self, embedding_dim: int = 128, num_relations: int = 20,
max_nodes: int = 10000):
super().__init__()
self.embedding_dim = embedding_dim
self.num_relations = num_relations
self.max_nodes = max_nodes
self.graph = nx.DiGraph()
self.node_id_map: Dict[str, int] = {}
self.relation_map: Dict[str, int] = {}
self.next_node_id = 0
self.next_rel_id = 0
self.encoder: Optional[KnowledgeGraphEncoder] = None
self.scorer: Optional[ComplExScorer] = None
self.symbolic_attention = nn.Parameter(torch.ones(num_relations))
self.rules: List[Tuple[str, str, str]] = []
def _get_or_create_node(self, node_name: str) -> int:
if node_name not in self.node_id_map:
self.node_id_map[node_name] = self.next_node_id
self.graph.add_node(self.next_node_id, name=node_name)
self.next_node_id += 1
return self.node_id_map[node_name]
def _get_or_create_relation(self, relation: str) -> int:
if relation not in self.relation_map:
self.relation_map[relation] = self.next_rel_id
self.next_rel_id += 1
return self.relation_map[relation]
def add_fact(self, head: str, relation: str, tail: str,
confidence: float = 1.0):
h_id = self._get_or_create_node(head)
t_id = self._get_or_create_node(tail)
r_id = self._get_or_create_relation(relation)
self.graph.add_edge(h_id, t_id, relation=r_id, name=relation,
confidence=confidence)
self._ensure_model_capacity()
def add_rule(self, premise: Tuple[str, str, str],
conclusion: Tuple[str, str, str]):
self.rules.append((premise, conclusion))
def _ensure_model_capacity(self):
if self.encoder is None and self.next_node_id > 0:
num_nodes = min(self.next_node_id, self.max_nodes)
num_rels = max(self.next_rel_id, self.num_relations)
self.encoder = KnowledgeGraphEncoder(
num_nodes=num_nodes,
hidden_dim=self.embedding_dim,
num_relations=num_rels,
num_layers=2,
)
self.scorer = ComplExScorer(
num_nodes=num_nodes,
num_relations=num_rels,
hidden_dim=self.embedding_dim // 2,
)
logger.info(f"Initialized KG models: {num_nodes} nodes, {num_rels} relations")
def reason_symbolic(self, query_head: str, query_relation: str) -> List[Dict]:
results = []
if query_head not in self.node_id_map:
return results
h_id = self.node_id_map[query_head]
r_name = query_relation
if r_name in self.relation_map:
r_id = self.relation_map[r_name]
for _, target, data in self.graph.out_edges(h_id, data=True):
if data.get('relation') == r_id:
results.append({
"head": query_head,
"relation": r_name,
"tail": self.graph.nodes[target].get('name', str(target)),
"confidence": data.get('confidence', 1.0),
"path": "direct",
})
for premise, conclusion in self.rules:
p_head, p_rel, p_tail = premise
c_head, c_rel, c_tail = conclusion
if p_head == query_head and self._check_fact(premise):
inferred_tail = c_tail
if c_head == "?":
c_head = query_head
results.append({
"head": c_head,
"relation": c_rel,
"tail": inferred_tail,
"confidence": 0.8,
"path": "inferred",
"rule": f"{premise} -> {conclusion}",
})
for neighbor in nx.bfs_tree(self.graph, h_id, depth_limit=2).nodes():
if neighbor != h_id:
for path in nx.all_simple_paths(self.graph, h_id, neighbor, cutoff=2):
if len(path) > 1:
edge_data = self.graph.edges[path[0], path[1]]
results.append({
"head": query_head,
"relation": f"multi-hop via {edge_data.get('name', 'unknown')}",
"tail": self.graph.nodes[neighbor].get('name', str(neighbor)),
"confidence": 0.6 ** (len(path) - 1),
"path": "->".join(str(n) for n in path),
})
return sorted(results, key=lambda x: x["confidence"], reverse=True)
def _check_fact(self, fact: Tuple[str, str, str]) -> bool:
h, r, t = fact
if h not in self.node_id_map or t not in self.node_id_map:
return False
h_id = self.node_id_map[h]
t_id = self.node_id_map[t]
if r not in self.relation_map:
return False
r_id = self.relation_map[r]
return self.graph.has_edge(h_id, t_id) and \
self.graph.edges[h_id, t_id].get('relation') == r_id
def reason_learned(self, query_head: str, query_relation: str,
top_k: int = 5) -> List[Dict]:
if self.scorer is None or query_head not in self.node_id_map:
return []
h_id = self.node_id_map[query_head]
r_id = self.relation_map.get(query_relation)
if r_id is None:
return []
h_tensor = torch.tensor([h_id])
r_tensor = torch.tensor([r_id])
all_tails = torch.arange(self.scorer.num_nodes)
scores = []
batch_size = 1000
for i in range(0, len(all_tails), batch_size):
batch_tails = all_tails[i:i + batch_size]
h_batch = h_tensor.repeat(len(batch_tails))
r_batch = r_tensor.repeat(len(batch_tails))
batch_scores = self.scorer(h_batch, r_batch, batch_tails)
scores.extend(batch_scores.tolist())
scores = torch.tensor(scores)
top_scores, top_indices = torch.topk(scores, min(top_k, len(scores)))
results = []
for idx, score in zip(top_indices, top_scores):
node_name = self.graph.nodes[idx.item()].get('name', str(idx.item()))
results.append({
"head": query_head,
"relation": query_relation,
"tail": node_name,
"confidence": torch.sigmoid(score).item(),
"path": "learned",
})
return results
def query(self, text_query: str, top_k: int = 5) -> Dict[str, Any]:
parts = text_query.lower().split()
if len(parts) >= 2:
head = parts[0].capitalize()
relation = " ".join(parts[1:])
else:
head = text_query.capitalize()
relation = "related_to"
symbolic_results = self.reason_symbolic(head, relation)
learned_results = self.reason_learned(head, relation, top_k)
rel_id = self.relation_map.get(relation, 0)
symbolic_weight = torch.sigmoid(self.symbolic_attention[rel_id % self.num_relations])
learned_weight = 1.0 - symbolic_weight.item()
all_results = []
for r in symbolic_results[:top_k]:
r["source"] = "symbolic"
r["fusion_weight"] = symbolic_weight.item()
all_results.append(r)
for r in learned_results[:top_k]:
r["source"] = "learned"
r["fusion_weight"] = learned_weight
all_results.append(r)
all_results.sort(key=lambda x: x.get("confidence", 0), reverse=True)
return {
"query": text_query,
"results": all_results[:top_k],
"symbolic_weight": symbolic_weight.item(),
"learned_weight": learned_weight,
"num_symbolic": len(symbolic_results),
"num_learned": len(learned_results),
}
def to_pyg_data(self) -> Dict[str, torch.Tensor]:
edges = []
edge_types = []
for u, v, data in self.graph.edges(data=True):
edges.append([u, v])
edge_types.append(data.get('relation', 0))
if not edges:
return {}
edge_index = torch.tensor(edges, dtype=torch.long).t()
edge_type = torch.tensor(edge_types, dtype=torch.long)
return {
"edge_index": edge_index,
"edge_type": edge_type,
"num_nodes": self.next_node_id,
"num_relations": self.next_rel_id,
}
def stats(self) -> Dict[str, Any]:
return {
"num_nodes": self.graph.number_of_nodes(),
"num_edges": self.graph.number_of_edges(),
"num_relations": len(self.relation_map),
"num_rules": len(self.rules),
"node_names": len(self.node_id_map),
}
def export(self) -> Dict[str, Any]:
edges = []
for u, v, data in self.graph.edges(data=True):
edges.append({
"source": u,
"target": v,
"relation_id": data.get('relation'),
"relation_name": data.get('name'),
"confidence": data.get('confidence'),
})
return {
"nodes": {n: self.graph.nodes[n].get('name', str(n))
for n in self.graph.nodes()},
"edges": edges,
"node_id_map": self.node_id_map,
"relation_map": self.relation_map,
"rules": self.rules,
}