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"""AAM Diffusion LLM — MCTS Reasoning Engine
AlphaZero-style tree search for reasoning about narrative arrangement
from graph evidence. AAM-specific: each node = a sentence arrangement,
value = narrative coherence, policy = next arrangement step.
"""
from __future__ import annotations
import math
from dataclasses import dataclass, field
from typing import Optional, List, Dict, Any, Tuple
import torch
import torch.nn as nn
import torch.nn.functional as F
class MCTSConfig:
def __init__(
self,
num_simulations: int = 64,
c_puct: float = 1.5,
temperature: float = 1.0,
max_depth: int = 10,
use_value_network: bool = True,
use_progressive_widening: bool = True,
max_children: int = 8,
) -> None:
self.num_simulations = num_simulations
self.c_puct = c_puct
self.temperature = temperature
self.max_depth = max_depth
self.use_value_network = use_value_network
self.use_progressive_widening = use_progressive_widening
self.max_children = max_children
if num_simulations <= 0:
raise ValueError(f"num_simulations must be positive, got {num_simulations}")
if c_puct <= 0:
raise ValueError(f"c_puct must be positive, got {c_puct}")
if max_depth <= 0:
raise ValueError(f"max_depth must be positive, got {max_depth}")
@dataclass
class MCTSNode:
state: Optional[torch.Tensor] = None
parent: Optional["MCTSNode"] = None
children: List["MCTSNode"] = field(default_factory=list)
visit_count: int = 0
total_value: float = 0.0
prior: float = 0.0
depth: int = 0
is_expanded: bool = False
action: Optional[int] = None
hidden_state: Optional[torch.Tensor] = None
@property
def q_value(self) -> float:
if self.visit_count == 0:
return 0.0
return self.total_value / self.visit_count
@property
def is_leaf(self) -> bool:
return not self.is_expanded
@property
def is_root(self) -> bool:
"""Whether this node is the root."""
return self.parent is None
class ValueNetwork(nn.Module):
"""Evaluate narrative coherence of a state."""
def __init__(self, d_model: int, hidden_dim: int = 256) -> None:
super().__init__()
self.network = nn.Sequential(
nn.Linear(d_model, hidden_dim, bias=False),
nn.SiLU(),
nn.Linear(hidden_dim, hidden_dim // 2, bias=False),
nn.SiLU(),
nn.Linear(hidden_dim // 2, 1, bias=False),
nn.Tanh(),
)
def forward(self, x: torch.Tensor) -> torch.Tensor:
return self.network(x)
class PolicyNetwork(nn.Module):
"""Suggest next arrangement step."""
def __init__(self, d_model: int, num_actions: int = 8) -> None:
super().__init__()
self.network = nn.Sequential(
nn.Linear(d_model, d_model // 2, bias=False),
nn.SiLU(),
nn.Linear(d_model // 2, num_actions, bias=False),
)
self.num_actions = num_actions
def forward(self, x: torch.Tensor) -> torch.Tensor:
return self.network(x)
class MCTSReasoner(nn.Module):
"""MCTS Reasoning Engine for AAM sentence arrangement."""
def __init__(
self,
d_model: int,
num_actions: int = 8,
config: Optional[MCTSConfig] = None,
) -> None:
super().__init__()
self.d_model = d_model
self.num_actions = num_actions
self.config = config or MCTSConfig()
if self.config.use_value_network:
self.value_network = ValueNetwork(d_model)
else:
self.value_network = None
self.policy_network = PolicyNetwork(d_model, num_actions)
self.state_encoder = nn.Sequential(
nn.Linear(d_model, d_model, bias=False),
nn.SiLU(),
nn.Linear(d_model, d_model, bias=False),
)
def forward(
self,
x: torch.Tensor,
num_simulations: Optional[int] = None,
) -> Tuple[torch.Tensor, Dict[str, Any]]:
batch_size = x.shape[0]
n_sims = num_simulations or self.config.num_simulations
encoded_state = self.state_encoder(x)
# Pool over sequence dimension if 3D input
if encoded_state.dim() == 3:
pooled_state = encoded_state.mean(dim=1) # (batch, d_model)
else:
pooled_state = encoded_state # (batch, d_model)
policy_logits = self.policy_network(pooled_state) # (batch, num_actions)
policy_probs = F.softmax(policy_logits / self.config.temperature, dim=-1) # (batch, num_actions)
if self.value_network is not None:
root_value = self.value_network(pooled_state) # (batch, 1)
else:
root_value = torch.zeros(batch_size, 1, device=x.device)
visit_counts = torch.zeros(batch_size, self.num_actions, device=x.device, dtype=torch.float32)
total_values = torch.zeros(batch_size, self.num_actions, device=x.device, dtype=torch.float32)
for sim_idx in range(n_sims):
ucb_scores = self._compute_ucb(visit_counts, total_values, policy_probs, n_sims)
selected_actions = ucb_scores.argmax(dim=-1)
if self.value_network is not None:
action_onehot = F.one_hot(selected_actions, self.num_actions).float()
action_proj = action_onehot @ self.policy_network.network[-1].weight
padding = torch.zeros(batch_size, self.d_model - action_proj.shape[-1], device=x.device)
action_embedding = torch.cat([action_proj, padding], dim=-1)
state_action = pooled_state + action_embedding
sim_values = self.value_network(state_action)
else:
sim_values = torch.rand(batch_size, 1, device=x.device) * 2 - 1
visit_counts.scatter_add_(1, selected_actions.unsqueeze(1),
torch.ones(batch_size, 1, device=x.device, dtype=visit_counts.dtype))
total_values.scatter_add_(1, selected_actions.unsqueeze(1), sim_values)
if self.config.temperature > 0:
action_probs = F.softmax(visit_counts.log() / self.config.temperature, dim=-1)
action_probs = torch.where(visit_counts > 0, action_probs, torch.zeros_like(action_probs))
row_sums = action_probs.sum(dim=-1, keepdim=True)
action_probs = torch.where(
row_sums > 1e-6,
action_probs / (row_sums + 1e-8),
torch.full_like(action_probs, 1.0 / self.num_actions),
)
else:
action_probs = F.one_hot(visit_counts.argmax(dim=-1), self.num_actions).float()
info = {
"total_simulations": n_sims,
"root_value": root_value.mean().item(),
"max_visit_count": visit_counts.max().item(),
"entropy": -(action_probs * (action_probs + 1e-8).log()).sum(-1).mean().item(),
"visit_distribution": visit_counts / (visit_counts.sum(-1, keepdim=True) + 1e-8),
}
return action_probs, info
def _compute_ucb(self, visit_counts, total_values, priors, total_simulations):
q_values = torch.where(
visit_counts > 0,
total_values / (visit_counts + 1e-8),
torch.zeros_like(total_values),
)
parent_visits = visit_counts.sum(dim=-1, keepdim=True)
exploration = self.config.c_puct * priors * torch.sqrt(parent_visits + 1) / (1 + visit_counts)
return q_values + exploration
def compute_thinking_budget(self, complexity_score: float, base_simulations: int = 16, max_simulations: int = 256) -> int:
"""Compute number of MCTS simulations based on complexity.
Adaptive compute budget: more complex inputs get more simulations.
Args:
complexity_score: Complexity score [0, 1] from ThinkingToggle.
base_simulations: Minimum number of simulations.
max_simulations: Maximum number of simulations.
Returns:
Recommended number of simulations.
"""
return int(base_simulations + (max_simulations - base_simulations) * (complexity_score ** 2))
def get_reasoning_summary(self, info: Dict[str, Any]) -> str:
"""Summary of reasoning for logging.
Args:
info: Dictionary from forward output.
Returns:
Summary string.
"""
return (
f"MCTS(sims={info['total_simulations']}, "
f"root_val={info['root_value']:.3f}, "
f"max_visits={info['max_visit_count']:.0f}, "
f"entropy={info['entropy']:.3f})"
)