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LeWorld Training System
=======================
3-Phase training procedure:
Phase 1: Pre-train components separately
Phase 2: End-to-end joint training
Phase 3: Cooperative refinement with info-request loop
Plus: Memory population strategies, data generation, evaluation.
"""
import torch
import torch.nn as nn
import torch.nn.functional as F
import torch.optim as optim
from torch.utils.data import Dataset, DataLoader
import math
import random
from typing import Dict, List, Optional, Tuple
from dataclasses import dataclass
from leworld_architecture import (
LeWorldSystem, MemoryConfig, SLMConfig, BLMConfig,
ArtificialMemory, SmallLeWorldModel, BigLeWorldModel,
count_params
)
# =============================================================================
# Training Configuration
# =============================================================================
@dataclass
class TrainingConfig:
"""Full training configuration."""
# Phase 1: Pre-training
phase1_lr: float = 1e-3
phase1_epochs: int = 50
phase1_batch_size: int = 32
# Phase 2: Joint training
phase2_lr: float = 3e-4
phase2_epochs: int = 100
phase2_batch_size: int = 16
phase2_warmup_steps: int = 500
# Phase 3: Refinement
phase3_lr: float = 1e-4
phase3_epochs: int = 50
phase3_batch_size: int = 16
# General
weight_decay: float = 0.01
grad_clip: float = 1.0
state_dim: int = 64
char_dim: int = 32
sequence_length: int = 20 # timesteps per sequence
# Loss weights
lambda_balance: float = 0.01 # routing balance
lambda_diversity: float = 0.001 # address diversity
lambda_entropy: float = 0.01 # routing entropy
lambda_info_util: float = 0.1 # info request utility
# Temperature annealing
temp_anneal_rate: float = 3e-5
temp_min: float = 0.1
# =============================================================================
# Synthetic Data Generation
# =============================================================================
class StateTransitionDataset(Dataset):
"""
Generates synthetic state transition sequences for training.
Each sequence has:
- States that evolve according to learnable dynamics
- Characteristics that stay fixed per sequence
- Ground-truth "useful memory" labels (for Phase 1 SLM pre-training)
The key insight: we embed patterns into memory, and the state transitions
DEPEND on what's in specific memory regions. This creates a genuine need
for memory retrieval β the model can't predict next state without reading
the right memory.
"""
def __init__(
self,
num_sequences: int,
seq_length: int,
state_dim: int,
char_dim: int,
memory: ArtificialMemory,
difficulty: str = "easy", # easy, medium, hard
):
self.num_sequences = num_sequences
self.seq_length = seq_length
self.state_dim = state_dim
self.char_dim = char_dim
self.memory = memory
# Generate all sequences upfront
self.data = self._generate_sequences(difficulty)
def _generate_sequences(self, difficulty: str) -> List[Dict]:
"""Generate synthetic state-transition sequences."""
data = []
mem_size = self.memory.config.num_words
for _ in range(self.num_sequences):
# Static characteristics for this sequence
characteristics = torch.randn(self.char_dim)
# Choose "relevant" memory regions (ground truth for SLM training)
if difficulty == "easy":
n_relevant = 1 # only one memory region matters
elif difficulty == "medium":
n_relevant = 2
else:
n_relevant = 3
relevant_addrs = []
for _ in range(n_relevant):
start = random.randint(0, mem_size - 256)
length = random.randint(16, 128)
relevant_addrs.append((start, start + length))
# Generate state sequence where transitions depend on memory content
states = torch.zeros(self.seq_length, self.state_dim)
states[0] = torch.randn(self.state_dim)
# The transition rule: next_state = f(current_state, memory_content)
# We use a simple linear rule seeded by the memory content
with torch.no_grad():
for addr_start, addr_end in relevant_addrs:
mem_bits = self.memory.memory[addr_start:addr_end].mean(dim=0)
# Memory content influences the transition dynamics
# Pad/tile mem_bits to state_dim
transition_seed_raw = mem_bits * 2 - 1 # map 0,1 β -1,1
transition_seed = transition_seed_raw.repeat(
math.ceil(self.state_dim / len(transition_seed_raw))
)[:self.state_dim]
# Pad/tile characteristics to state_dim
char_padded = characteristics.repeat(
math.ceil(self.state_dim / len(characteristics))
)[:self.state_dim]
for t in range(1, self.seq_length):
noise = torch.randn(self.state_dim) * 0.1
# State evolves based on current state + memory influence
states[t] = (
0.8 * states[t-1]
+ 0.15 * transition_seed
+ 0.05 * char_padded
+ noise
)
data.append({
'states': states, # (seq_length, state_dim)
'characteristics': characteristics, # (char_dim,)
'relevant_addrs': relevant_addrs, # list of (start, end) tuples
'n_relevant': n_relevant,
})
return data
def __len__(self):
return self.num_sequences
def __getitem__(self, idx):
item = self.data[idx]
# Pad relevant addresses to fixed length (3 = max n_slms)
padded_starts = torch.zeros(3, dtype=torch.long)
padded_ends = torch.zeros(3, dtype=torch.long)
for i, (s, e) in enumerate(item['relevant_addrs']):
padded_starts[i] = s
padded_ends[i] = e
return {
'states': item['states'],
'characteristics': item['characteristics'],
'relevant_starts': padded_starts,
'relevant_ends': padded_ends,
'n_relevant': item['n_relevant'],
}
# =============================================================================
# Phase 1: Pre-training (Components Separately)
# =============================================================================
class Phase1Trainer:
"""
Pre-train SLMs and BLM separately.
SLMs: Given (past_state, current_state, characteristics), learn to output
address ranges that point to "relevant" memory regions.
Loss: distance between predicted address range and ground-truth relevant region.
BLM: Given perfect memory reads, learn to predict next state.
Loss: MSE between predicted and actual next state.
"""
def __init__(self, system: LeWorldSystem, config: TrainingConfig):
self.system = system
self.config = config
# Separate optimizers for SLMs and BLM
self.slm_optimizer = optim.AdamW(
system.slms.parameters(),
lr=config.phase1_lr,
weight_decay=config.weight_decay
)
self.blm_optimizer = optim.AdamW(
list(system.blm.parameters()) + list(system.memory.parameters()),
lr=config.phase1_lr,
weight_decay=config.weight_decay
)
def train_slms_step(self, batch: Dict) -> Dict:
"""
Train SLMs to find relevant memory regions.
Loss: |predicted_addr - target_addr| normalized by address space.
"""
self.slm_optimizer.zero_grad()
states = batch['states'] # (B, T, state_dim)
chars = batch['characteristics'] # (B, char_dim)
target_starts = batch['relevant_starts'] # (B, 3)
target_ends = batch['relevant_ends'] # (B, 3)
total_loss = None
# For each SLM, train to find the corresponding relevant region
for i, slm in enumerate(self.system.slms):
# Use first two timesteps as past/current
past_state = states[:, 0, :]
current_state = states[:, 1, :]
output = slm(past_state, current_state, chars)
# Use logits (differentiable) instead of hard addresses
# Target: which high/low byte corresponds to the target address
tgt_start = target_starts[:, i].long()
half_space = slm.address_head.half_space # 256
tgt_high = tgt_start // half_space # high byte
tgt_low = tgt_start % half_space # low byte
# Cross-entropy over address components (differentiable!)
addr_loss = (
F.cross_entropy(output['start_logits_high'], tgt_high) +
F.cross_entropy(output['start_logits_low'], tgt_low)
)
# Range length loss
tgt_range = (target_ends[:, i] - target_starts[:, i]).clamp(1, self.system.memory.config.max_read_range) - 1
range_loss = F.cross_entropy(output['range_logits'], tgt_range.long())
slm_loss = addr_loss + 0.5 * range_loss
if total_loss is None:
total_loss = slm_loss
else:
total_loss = total_loss + slm_loss
total_loss = total_loss / len(self.system.slms)
total_loss.backward()
torch.nn.utils.clip_grad_norm_(self.system.slms.parameters(), self.config.grad_clip)
self.slm_optimizer.step()
return {'slm_loss': total_loss.item()}
def train_blm_step(self, batch: Dict) -> Dict:
"""
Train BLM to predict next state given oracle memory reads.
Oracle: we read from the KNOWN relevant memory regions (ground truth).
"""
self.blm_optimizer.zero_grad()
states = batch['states']
chars = batch['characteristics']
target_starts = batch['relevant_starts']
target_ends = batch['relevant_ends']
batch_size = states.shape[0]
# Read oracle memory
oracle_reads = []
slm_fake_outputs = []
for i in range(3):
_, encoded, _ = self.system.memory.read(
target_starts[:, i], target_ends[:, i]
)
oracle_reads.append(encoded)
# Create fake SLM output (just need hidden state)
fake_hidden = torch.zeros(batch_size, 128) # SLM d_model = 128
slm_fake_outputs.append({
'hidden': fake_hidden,
'start_addr': target_starts[:, i],
'end_addr': target_ends[:, i],
'confidence': torch.ones(batch_size),
})
# BLM forward with oracle reads
total_loss = None
for t in range(states.shape[1] - 1):
past_state = states[:, max(0, t-1), :]
current_state = states[:, t, :]
next_state = states[:, t+1, :]
blm_out = self.system.blm(
past_state, current_state,
slm_fake_outputs, oracle_reads
)
loss = F.mse_loss(blm_out['next_state'], next_state)
if total_loss is None:
total_loss = loss
else:
total_loss = total_loss + loss
total_loss = total_loss / (states.shape[1] - 1)
total_loss.backward()
torch.nn.utils.clip_grad_norm_(
list(self.system.blm.parameters()) + list(self.system.memory.parameters()),
self.config.grad_clip
)
self.blm_optimizer.step()
return {'blm_loss': total_loss.item()}
# =============================================================================
# Phase 2: End-to-End Joint Training
# =============================================================================
class Phase2Trainer:
"""
Joint training of the entire system end-to-end.
The full pipeline runs: SLMs β Memory Read β BLM β Next State
Key challenge: gradient flow through discrete decisions
- SLM address selection: use soft attention + hard address (ST trick)
- BLM routing: use straight-through sigmoid
Losses:
1. next_state_loss: primary prediction accuracy
2. balance_loss: balanced SLM routing
3. diversity_loss: SLMs read different memory regions
4. info_utility_loss: BLM's info request improves future predictions
"""
def __init__(self, system: LeWorldSystem, config: TrainingConfig):
self.system = system
self.config = config
# Single optimizer for everything
self.optimizer = optim.AdamW(
system.parameters(),
lr=config.phase2_lr,
weight_decay=config.weight_decay
)
# Learning rate scheduler
self.scheduler = optim.lr_scheduler.CosineAnnealingWarmRestarts(
self.optimizer, T_0=config.phase2_epochs // 3, T_mult=2
)
self.global_step = 0
def train_step(self, batch: Dict) -> Dict:
"""Full end-to-end training step."""
self.optimizer.zero_grad()
states = batch['states']
chars = batch['characteristics']
# Multi-step forward
output = self.system.multi_step_forward(states, chars)
loss = output['total_loss']
loss.backward()
# Gradient clipping
torch.nn.utils.clip_grad_norm_(
self.system.parameters(), self.config.grad_clip
)
self.optimizer.step()
# Temperature annealing for router
self.global_step += 1
self.system.blm.router.anneal_temperature(
self.global_step,
self.config.temp_anneal_rate,
self.config.temp_min
)
return {
'total_loss': loss.item(),
'temperature': self.system.blm.router.temperature.item(),
'step': self.global_step,
}
# =============================================================================
# Phase 3: Cooperative Refinement with Info-Request Loop
# =============================================================================
class Phase3Trainer:
"""
Refinement phase: train the info-request mechanism.
The BLM learns to generate useful "what info do I need?" queries that
improve the SLMs' memory retrieval in the NEXT timestep.
Training signal: compare prediction quality WITH vs WITHOUT info-request
modulation. If info-request helped β reward; if not β penalize.
This is inspired by ProactAgent (arxiv:2604.20572) paired-branch reward.
"""
def __init__(self, system: LeWorldSystem, config: TrainingConfig):
self.system = system
self.config = config
# Optimizer: higher LR for info-request modules, lower for rest
info_params = set(id(p) for p in system.blm.info_request.parameters())
info_params.update(id(p) for p in system.info_to_slm.parameters())
other_blm_params = [p for p in system.blm.parameters() if id(p) not in info_params]
self.optimizer = optim.AdamW([
{'params': list(system.blm.info_request.parameters()) + list(system.info_to_slm.parameters()), 'lr': config.phase3_lr},
{'params': list(system.slms.parameters()), 'lr': config.phase3_lr * 0.1},
{'params': other_blm_params, 'lr': config.phase3_lr * 0.1},
{'params': list(system.memory.parameters()), 'lr': config.phase3_lr * 0.01},
], weight_decay=config.weight_decay)
def train_step(self, batch: Dict) -> Dict:
"""
Paired-branch training:
Branch A: Run with info-request modulation (full system)
Branch B: Run WITHOUT info-request (baseline)
Reward = improvement of A over B
"""
self.optimizer.zero_grad()
states = batch['states']
chars = batch['characteristics']
# Branch A: with info-request loop
output_with = self.system.multi_step_forward(states, chars)
loss_with = output_with['total_loss']
# Branch B: without info-request (set info_query to None at each step)
# We do this by running forward without passing info_query between steps
batch_size, T, state_dim = states.shape
loss_without = None
for t in range(T - 1):
past_state = states[:, max(0, t-1), :]
current_state = states[:, t, :]
next_state = states[:, t+1, :]
output = self.system(
past_state, current_state, chars,
next_state, info_query_prev=None # NO info request
)
if output['losses']:
if loss_without is None:
loss_without = output['losses']['next_state_loss']
else:
loss_without = loss_without + output['losses']['next_state_loss']
if loss_without is None:
loss_without = torch.tensor(0.0)
else:
loss_without = loss_without / max(1, T - 1)
# Info utility: reward if info-request helps, penalize if not
improvement = (loss_without - loss_with).detach() # positive = info helped
# Total loss: prediction loss + info utility bonus
total_loss = loss_with - self.config.lambda_info_util * improvement
total_loss.backward()
torch.nn.utils.clip_grad_norm_(self.system.parameters(), self.config.grad_clip)
self.optimizer.step()
return {
'loss_with_info': loss_with.item(),
'loss_without_info': loss_without.item(),
'improvement': improvement.item(),
'total_loss': total_loss.item(),
}
# =============================================================================
# Memory Population Strategies
# =============================================================================
class MemoryPopulator:
"""
Strategies for populating the artificial memory with meaningful content.
In a real application, memory would be populated by experience / observations.
Here we provide several strategies for initial content.
"""
@staticmethod
def random_bits(memory: ArtificialMemory):
"""Fill with random bits (baseline)."""
memory.memory.uniform_(0, 1).round_()
@staticmethod
def structured_patterns(memory: ArtificialMemory):
"""
Fill with structured patterns that encode different "knowledge types."
Memory layout:
- [0x0000 - 0x3FFF]: Dynamics patterns (state transition rules)
- [0x4000 - 0x7FFF]: Context patterns (characteristic-dependent info)
- [0x8000 - 0xBFFF]: History patterns (temporal sequences)
- [0xC000 - 0xFFFF]: Association patterns (cross-references)
"""
N = memory.config.num_words
W = memory.config.word_size
quarter = N // 4
with torch.no_grad():
# Region 1: Dynamics β repeating patterns (easy to learn)
for i in range(quarter):
pattern = torch.zeros(W)
pattern[i % W] = 1.0 # cyclic single-bit pattern
memory.memory[i] = pattern
# Region 2: Context β characteristic-dependent
for i in range(quarter, 2 * quarter):
seed = i - quarter
torch.manual_seed(seed)
memory.memory[i] = torch.randint(0, 2, (W,)).float()
# Region 3: History β sequential counting in binary
for i in range(2 * quarter, 3 * quarter):
binary = torch.zeros(W)
val = i - 2 * quarter
for bit in range(min(W, 16)):
binary[bit] = float((val >> bit) & 1)
memory.memory[i] = binary
# Region 4: Associations β XOR patterns
for i in range(3 * quarter, N):
a = memory.memory[i % quarter] # reference region 1
b = memory.memory[quarter + (i % quarter)] # reference region 2
memory.memory[i] = ((a + b) % 2) # XOR
@staticmethod
def from_experience(memory: ArtificialMemory, experiences: torch.Tensor):
"""
Populate memory from observed data.
Args:
experiences: (N, feature_dim) tensor of observed features
Each feature vector gets encoded to bits and stored
"""
with torch.no_grad():
N = min(experiences.shape[0], memory.config.num_words)
W = memory.config.word_size
# Simple quantization: threshold at median
for i in range(N):
feat = experiences[i]
# Truncate/pad to word_size
if len(feat) >= W:
bits = (feat[:W] > feat[:W].median()).float()
else:
bits = torch.zeros(W)
bits[:len(feat)] = (feat > feat.median()).float()
memory.memory[i] = bits
# =============================================================================
# Evaluation
# =============================================================================
class Evaluator:
"""Evaluation metrics for the LeWorld system."""
@staticmethod
def prediction_accuracy(
system: LeWorldSystem,
dataloader: DataLoader,
n_steps: int = 5
) -> Dict:
"""
Evaluate next-state prediction accuracy.
Metrics:
- MSE: mean squared error of state predictions
- MAE: mean absolute error
- Multi-step MSE: prediction error at different horizons
- Routing diversity: how varied the SLM selections are
"""
system.eval()
total_mse = 0.0
total_mae = 0.0
step_mses = [0.0] * n_steps
all_masks = []
n_batches = 0
with torch.no_grad():
for batch in dataloader:
states = batch['states']
chars = batch['characteristics']
output = system.multi_step_forward(states, chars, n_steps)
# Ground truth future states
gt_future = states[:, 1:n_steps+1, :]
pred_future = output['predictions'][:, :n_steps, :]
actual_steps = min(n_steps, pred_future.shape[1])
mse = F.mse_loss(pred_future[:, :actual_steps], gt_future[:, :actual_steps])
mae = F.l1_loss(pred_future[:, :actual_steps], gt_future[:, :actual_steps])
total_mse += mse.item()
total_mae += mae.item()
# Per-step MSE
for t in range(actual_steps):
step_mse = F.mse_loss(pred_future[:, t], gt_future[:, t])
step_mses[t] += step_mse.item()
# Collect routing masks
all_masks.append(output['masks'])
n_batches += 1
# Routing diversity: entropy of SLM usage
all_masks = torch.cat(all_masks, dim=0) # (total, T, n_slms)
usage_per_slm = all_masks.mean(dim=(0, 1)) # (n_slms,)
routing_entropy = -(usage_per_slm * torch.log(usage_per_slm + 1e-8)).sum().item()
system.train()
return {
'mse': total_mse / max(1, n_batches),
'mae': total_mae / max(1, n_batches),
'step_mses': [m / max(1, n_batches) for m in step_mses],
'routing_entropy': routing_entropy,
'slm_usage': usage_per_slm.tolist(),
}
# =============================================================================
# Full Training Pipeline
# =============================================================================
def run_training(
system: LeWorldSystem,
train_config: TrainingConfig,
num_train_sequences: int = 1000,
num_val_sequences: int = 200,
):
"""Execute the full 3-phase training pipeline."""
print("=" * 70)
print("LeWorld Training Pipeline")
print("=" * 70)
# Populate memory with structured patterns
print("\n[Setup] Populating artificial memory...")
MemoryPopulator.structured_patterns(system.memory)
# Create datasets
print("[Setup] Generating training data...")
train_dataset = StateTransitionDataset(
num_sequences=num_train_sequences,
seq_length=train_config.sequence_length,
state_dim=train_config.state_dim,
char_dim=train_config.char_dim,
memory=system.memory,
difficulty="medium",
)
val_dataset = StateTransitionDataset(
num_sequences=num_val_sequences,
seq_length=train_config.sequence_length,
state_dim=train_config.state_dim,
char_dim=train_config.char_dim,
memory=system.memory,
difficulty="medium",
)
train_loader = DataLoader(train_dataset, batch_size=train_config.phase1_batch_size, shuffle=True)
val_loader = DataLoader(val_dataset, batch_size=train_config.phase1_batch_size)
evaluator = Evaluator()
# ===== Phase 1: Pre-training =====
print(f"\n{'='*70}")
print("Phase 1: Pre-training (SLMs + BLM separately)")
print(f"{'='*70}")
phase1 = Phase1Trainer(system, train_config)
for epoch in range(min(3, train_config.phase1_epochs)): # shortened for demo
epoch_slm_loss = 0
epoch_blm_loss = 0
n_batches = 0
for batch in train_loader:
slm_metrics = phase1.train_slms_step(batch)
blm_metrics = phase1.train_blm_step(batch)
epoch_slm_loss += slm_metrics['slm_loss']
epoch_blm_loss += blm_metrics['blm_loss']
n_batches += 1
print(f" Epoch {epoch+1}: SLM loss={epoch_slm_loss/n_batches:.4f}, "
f"BLM loss={epoch_blm_loss/n_batches:.4f}")
# Evaluate after Phase 1
val_metrics = evaluator.prediction_accuracy(system, val_loader, n_steps=5)
print(f" Phase 1 eval: MSE={val_metrics['mse']:.4f}, "
f"Routing entropy={val_metrics['routing_entropy']:.4f}")
# ===== Phase 2: Joint Training =====
print(f"\n{'='*70}")
print("Phase 2: End-to-End Joint Training")
print(f"{'='*70}")
phase2 = Phase2Trainer(system, train_config)
train_loader2 = DataLoader(train_dataset, batch_size=train_config.phase2_batch_size, shuffle=True)
val_loader2 = DataLoader(val_dataset, batch_size=train_config.phase2_batch_size)
for epoch in range(min(5, train_config.phase2_epochs)): # shortened for demo
epoch_loss = 0
n_batches = 0
for batch in train_loader2:
metrics = phase2.train_step(batch)
epoch_loss += metrics['total_loss']
n_batches += 1
print(f" Epoch {epoch+1}: loss={epoch_loss/n_batches:.4f}, "
f"temp={metrics['temperature']:.4f}")
val_metrics = evaluator.prediction_accuracy(system, val_loader2, n_steps=5)
print(f" Phase 2 eval: MSE={val_metrics['mse']:.4f}, "
f"Routing entropy={val_metrics['routing_entropy']:.4f}, "
f"SLM usage={[f'{u:.2f}' for u in val_metrics['slm_usage']]}")
# ===== Phase 3: Info-Request Refinement =====
print(f"\n{'='*70}")
print("Phase 3: Info-Request Cooperative Refinement")
print(f"{'='*70}")
phase3 = Phase3Trainer(system, train_config)
for epoch in range(min(3, train_config.phase3_epochs)): # shortened for demo
epoch_loss = 0
epoch_improvement = 0
n_batches = 0
for batch in train_loader2:
metrics = phase3.train_step(batch)
epoch_loss += metrics['total_loss']
epoch_improvement += metrics['improvement']
n_batches += 1
print(f" Epoch {epoch+1}: loss={epoch_loss/n_batches:.4f}, "
f"info improvement={epoch_improvement/n_batches:.4f}")
# Final evaluation
print(f"\n{'='*70}")
print("Final Evaluation")
print(f"{'='*70}")
final_metrics = evaluator.prediction_accuracy(system, val_loader2, n_steps=5)
print(f" Final MSE: {final_metrics['mse']:.4f}")
print(f" Final MAE: {final_metrics['mae']:.4f}")
print(f" Per-step MSE: {[f'{m:.4f}' for m in final_metrics['step_mses']]}")
print(f" Routing entropy: {final_metrics['routing_entropy']:.4f}")
print(f" SLM usage: {[f'{u:.2f}' for u in final_metrics['slm_usage']]}")
return final_metrics
# =============================================================================
# Entry Point
# =============================================================================
if __name__ == "__main__":
# Build system
mem_config = MemoryConfig()
slm_config = SLMConfig()
blm_config = BLMConfig()
train_config = TrainingConfig(sequence_length=10) # shorter for demo
system = LeWorldSystem(mem_config, slm_config, blm_config)
count_params(system, "Full LeWorld System")
# Run training
metrics = run_training(
system, train_config,
num_train_sequences=100, # small for demo
num_val_sequences=30,
)
print("\nβ
Training pipeline complete!") |