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"""
Improved REINFORCE for Symbolic Regression
Improvements over basic REINFORCE:
1. Larger batch size with gradient accumulation
2. Entropy bonus for exploration
3. Better baseline (exponential moving average with warmup)
4. Reward shaping (softer penalty for invalid expressions)
5. Best-of-N sampling to find good expressions faster
6. Learning rate scheduling
7. Gradient clipping
8. Detailed logging per epoch
"""
import os
import sys
import json
import argparse
import logging
import datetime
from pathlib import Path
from typing import List, Tuple, Dict
from collections import deque
import numpy as np
import torch
import torch.nn.functional as F
# Add project root to path
PROJECT_ROOT = Path(__file__).parent.parent
sys.path.insert(0, str(PROJECT_ROOT))
sys.path.insert(0, str(PROJECT_ROOT / "classes"))
from transformers import AutoTokenizer, AutoModelForCausalLM
from peft import PeftModel, LoraConfig, get_peft_model
from expression import Expression
from dataset import RegressionDataset
# Configure logging
logging.basicConfig(
level=logging.INFO,
format='%(asctime)s - %(levelname)s - %(message)s',
)
logger = logging.getLogger(__name__)
class ImprovedREINFORCE:
"""Improved REINFORCE algorithm for symbolic regression."""
def __init__(
self,
model_path: str,
X: np.ndarray,
y: np.ndarray,
output_dir: str = "./output/reinforce",
learning_rate: float = 5e-5,
device: str = None,
entropy_coef: float = 0.01,
baseline_decay: float = 0.95,
):
self.X = X
self.y = y
self.n_vars = X.shape[1]
self.output_dir = Path(output_dir)
self.output_dir.mkdir(parents=True, exist_ok=True)
self.learning_rate = learning_rate
self.entropy_coef = entropy_coef
self.baseline_decay = baseline_decay
# Device
if device:
self.device = torch.device(device)
else:
self.device = torch.device("cuda" if torch.cuda.is_available() else "cpu")
logger.info(f"Using device: {self.device}")
# Load model
self._load_model(model_path)
# Build prompt
self.prompt = self._build_prompt()
self.prompt_ids = self.tokenizer(self.prompt, return_tensors="pt")["input_ids"].to(self.device)
# Optimizer with weight decay
self.optimizer = torch.optim.AdamW(
self.model.parameters(),
lr=learning_rate,
weight_decay=0.01
)
# Learning rate scheduler
self.scheduler = torch.optim.lr_scheduler.CosineAnnealingWarmRestarts(
self.optimizer, T_0=10, T_mult=2
)
# Tracking
self.best_r2 = -np.inf
self.best_expression = None
self.history = []
# Improved baseline: use recent rewards buffer
self.reward_buffer = deque(maxlen=50)
self.baseline = 0.0
# Track all discovered expressions
self.discovered_expressions: Dict[str, float] = {}
def _load_model(self, model_path: str):
"""Load model and tokenizer."""
logger.info(f"Loading model from {model_path}")
self.tokenizer = AutoTokenizer.from_pretrained(model_path)
self.tokenizer.pad_token = self.tokenizer.eos_token
try:
logger.info("Attempting to load as LoRA adapter...")
base_model = AutoModelForCausalLM.from_pretrained("gpt2")
if len(self.tokenizer) != base_model.config.vocab_size:
base_model.resize_token_embeddings(len(self.tokenizer))
logger.info(f"Resized embeddings to {len(self.tokenizer)}")
model_with_lora = PeftModel.from_pretrained(base_model, model_path)
self.model = model_with_lora.merge_and_unload()
logger.info("LoRA adapter loaded and merged successfully")
except Exception as e:
logger.info(f"LoRA load failed ({e}), loading as standalone model...")
self.model = AutoModelForCausalLM.from_pretrained(model_path)
# Add LoRA for training (reduced for memory efficiency)
lora_config = LoraConfig(
r=8, # Reduced for memory
lora_alpha=16,
target_modules=["c_attn"], # Only attention
lora_dropout=0.05,
bias="none",
)
self.model = get_peft_model(self.model, lora_config)
self.model = self.model.to(self.device)
self.model.train()
trainable = sum(p.numel() for p in self.model.parameters() if p.requires_grad)
logger.info(f"Model loaded with {trainable} trainable params")
def _build_prompt(self, ops: list = None) -> str:
"""Build JSON format prompt."""
vars_list = [f"x_{i+1}" for i in range(self.n_vars)]
# Default operators - includes all operators from training data
if ops is None:
ops_list = ["+", "-", "*", "/", "sin", "cos", "sqrt", "log", "exp", "pow"]
else:
ops_list = ops
prompt = json.dumps({
"vars": vars_list,
"ops": ops_list,
"cons": "C",
"expr": ""
})
prompt = prompt[:-2] # Remove closing "}
return prompt
def extract_expression(self, text: str) -> str:
"""Extract expression from generated text."""
try:
eos_token = "<|endoftext|>"
if eos_token in text:
text = text[:text.index(eos_token)]
if '"expr": "' in text:
start = text.index('"expr": "') + len('"expr": "')
remaining = text[start:]
for terminator in ['"}', '"']:
if terminator in remaining:
return remaining[:remaining.index(terminator)].strip()
return remaining.strip()
if '"expr": ' in text:
start = text.index('"expr": ') + len('"expr": ')
remaining = text[start:]
if '"}' in remaining:
return remaining[:remaining.index('"}')].strip()
return remaining.strip(' "')
except (ValueError, IndexError):
pass
if '"expr"' in text:
return text.split('"expr"')[-1].strip(' ":{}')
return text.strip()
def compute_r2(self, expression_str: str) -> Tuple[float, bool]:
"""Compute R^2 score. Returns (score, is_valid)."""
if not expression_str or expression_str.isspace():
return -1.0, False
if 'C' in expression_str:
expression_str = expression_str.replace('C', '1')
try:
expr = Expression(expression_str, is_prefix=False)
if not expr.is_valid_on_dataset(self.X):
return -1.0, False
y_pred = expr.evaluate(self.X)
if not np.all(np.isfinite(y_pred)):
return -1.0, False
ss_res = np.sum((self.y - y_pred) ** 2)
ss_tot = np.sum((self.y - np.mean(self.y)) ** 2)
if ss_tot == 0:
return 0.0, True
r2 = 1 - (ss_res / ss_tot)
return float(np.clip(r2, -1.0, 1.0)), True
except Exception:
return -1.0, False
def shape_reward(self, r2: float, is_valid: bool) -> float:
"""Shape reward to encourage exploration."""
if not is_valid:
return -0.1 # Small penalty instead of -1.0
# Transform R^2 to encourage improvement
if r2 < 0:
return r2 * 0.5 # Reduce negative penalty
elif r2 < 0.5:
return r2
elif r2 < 0.9:
return r2 * 1.5 # Bonus for good expressions
else:
return r2 * 2.0 # Big bonus for great expressions
def generate_batch(
self,
batch_size: int,
temperature: float = 0.7,
max_new_tokens: int = 50
) -> List[Dict]:
"""Generate a batch of expressions with log probabilities."""
results = []
for _ in range(batch_size):
generated_ids = self.prompt_ids.clone()
generated_tokens = []
# Phase 1: Generate tokens without gradients
with torch.no_grad():
for _ in range(max_new_tokens):
outputs = self.model(generated_ids)
logits = outputs.logits[:, -1, :] / temperature
probs = F.softmax(logits, dim=-1)
next_token = torch.multinomial(probs, num_samples=1)
generated_tokens.append(next_token.item())
generated_ids = torch.cat([generated_ids, next_token], dim=1)
if next_token.item() == self.tokenizer.eos_token_id:
break
text = self.tokenizer.decode(generated_ids[0], skip_special_tokens=True)
if '"}' in text[len(self.prompt):]:
break
# Decode and extract expression
text = self.tokenizer.decode(generated_ids[0], skip_special_tokens=True)
expr_str = self.extract_expression(text)
r2, is_valid = self.compute_r2(expr_str)
reward = self.shape_reward(r2, is_valid)
# Phase 2: Efficient log prob computation using full sequence
if len(generated_tokens) > 0:
# Build target sequence
full_ids = torch.cat([
self.prompt_ids,
torch.tensor([generated_tokens], device=self.device)
], dim=1)
# Single forward pass for all positions
outputs = self.model(full_ids[:, :-1]) # Input all but last
logits = outputs.logits / temperature
# Get log probs for generated portion
prompt_len = self.prompt_ids.shape[1]
gen_logits = logits[:, prompt_len-1:, :] # Logits predicting generated tokens
log_probs_all = F.log_softmax(gen_logits, dim=-1)
probs_all = F.softmax(gen_logits, dim=-1)
# Gather log probs of selected tokens
target_tokens = torch.tensor(generated_tokens, device=self.device).unsqueeze(0)
selected_log_probs = log_probs_all.gather(2, target_tokens.unsqueeze(-1)).squeeze(-1)
total_log_prob = selected_log_probs.sum()
# Compute mean entropy
entropy_per_pos = -(probs_all * log_probs_all).sum(dim=-1)
total_entropy = entropy_per_pos.mean()
else:
total_log_prob = torch.tensor(0.0, device=self.device, requires_grad=True)
total_entropy = torch.tensor(0.0, device=self.device)
results.append({
"text": text,
"expression": expr_str,
"r2": r2,
"is_valid": is_valid,
"reward": reward,
"log_prob": total_log_prob,
"entropy": total_entropy,
})
# Track best and discovered expressions
if is_valid:
self.discovered_expressions[expr_str] = max(
self.discovered_expressions.get(expr_str, -np.inf), r2
)
if r2 > self.best_r2:
self.best_r2 = r2
self.best_expression = expr_str
# Clear cache periodically
if self.device.type == "cuda":
torch.cuda.empty_cache()
return results
def update_baseline(self, rewards: List[float]):
"""Update baseline using reward buffer."""
valid_rewards = [r for r in rewards if r > -0.5]
self.reward_buffer.extend(valid_rewards)
if len(self.reward_buffer) > 0:
# Use median for robustness
self.baseline = self.baseline_decay * self.baseline + \
(1 - self.baseline_decay) * np.median(list(self.reward_buffer))
def train_step(self, batch_size: int = 8, grad_accum_steps: int = 4) -> dict:
"""Perform one training step with gradient accumulation."""
self.model.train()
all_results = []
total_policy_loss = 0.0
total_entropy_loss = 0.0
self.optimizer.zero_grad()
effective_batch = batch_size * grad_accum_steps
for accum_step in range(grad_accum_steps):
# Clear cache before each mini-batch
if self.device.type == "cuda":
torch.cuda.empty_cache()
results = self.generate_batch(batch_size)
all_results.extend(results)
# Compute losses for this mini-batch
policy_loss = torch.tensor(0.0, device=self.device)
entropy_loss = torch.tensor(0.0, device=self.device)
valid_count = 0
for r in results:
if r["is_valid"]:
advantage = r["reward"] - self.baseline
policy_loss = policy_loss - r["log_prob"] * advantage
entropy_loss = entropy_loss - r["entropy"]
valid_count += 1
if valid_count > 0:
policy_loss = policy_loss / valid_count
entropy_loss = entropy_loss / valid_count
# Combined loss
loss = policy_loss + self.entropy_coef * entropy_loss
loss = loss / grad_accum_steps # Scale for accumulation
loss.backward()
total_policy_loss += policy_loss.item()
total_entropy_loss += entropy_loss.item()
# Gradient clipping
torch.nn.utils.clip_grad_norm_(self.model.parameters(), max_norm=1.0)
# Update
self.optimizer.step()
self.scheduler.step()
# Update baseline
rewards = [r["reward"] for r in all_results]
self.update_baseline(rewards)
# Statistics
r2_values = [r["r2"] for r in all_results]
valid_mask = [r["is_valid"] for r in all_results]
valid_r2 = [r2 for r2, v in zip(r2_values, valid_mask) if v]
return {
"valid_count": sum(valid_mask),
"total_count": len(all_results),
"valid_rate": sum(valid_mask) / len(all_results),
"mean_r2": np.mean(valid_r2) if valid_r2 else 0.0,
"max_r2": max(r2_values),
"baseline": self.baseline,
"policy_loss": total_policy_loss / grad_accum_steps,
"entropy_loss": total_entropy_loss / grad_accum_steps,
"lr": self.scheduler.get_last_lr()[0],
}
def run(
self,
n_epochs: int = 50,
batch_size: int = 16,
grad_accum_steps: int = 2,
target_r2: float = 0.99,
patience: int = 20,
):
"""Run training with early stopping."""
logger.info("=" * 60)
logger.info("IMPROVED REINFORCE SYMBOLIC REGRESSION")
logger.info("=" * 60)
logger.info(f"Epochs: {n_epochs}")
logger.info(f"Batch size: {batch_size} x {grad_accum_steps} = {batch_size * grad_accum_steps}")
logger.info(f"Entropy coef: {self.entropy_coef}")
logger.info(f"Target R^2: {target_r2}")
logger.info("=" * 60)
no_improvement = 0
prev_best = -np.inf
for epoch in range(n_epochs):
stats = self.train_step(batch_size, grad_accum_steps)
self.history.append({
"epoch": epoch + 1,
**stats,
"best_r2": self.best_r2,
})
# Check for improvement
if self.best_r2 > prev_best + 0.001:
no_improvement = 0
prev_best = self.best_r2
else:
no_improvement += 1
# Log every epoch for visibility
logger.info(
f"Epoch {epoch+1:3d} | "
f"Valid: {stats['valid_count']}/{stats['total_count']} | "
f"Mean R²: {stats['mean_r2']:.4f} | "
f"Best: {self.best_r2:.4f} | "
f"Baseline: {self.baseline:.4f} | "
f"LR: {stats['lr']:.2e}"
)
# Early stopping conditions
if self.best_r2 >= target_r2:
logger.info(f"Target R^2 {target_r2} reached at epoch {epoch+1}!")
break
if no_improvement >= patience:
logger.info(f"No improvement for {patience} epochs. Early stopping.")
break
# Final results
logger.info("\n" + "=" * 60)
logger.info("FINAL RESULTS")
logger.info("=" * 60)
logger.info(f"Best R^2: {self.best_r2:.4f}")
logger.info(f"Best expression: {self.best_expression}")
logger.info(f"Unique expressions discovered: {len(self.discovered_expressions)}")
# Show top 5 expressions
top_exprs = sorted(self.discovered_expressions.items(), key=lambda x: -x[1])[:5]
logger.info("Top 5 expressions:")
for expr, r2 in top_exprs:
logger.info(f" R²={r2:.4f}: {expr}")
return {
"best_r2": self.best_r2,
"best_expression": self.best_expression,
"history": self.history,
"discovered_expressions": self.discovered_expressions,
}
def main():
parser = argparse.ArgumentParser(description="Improved REINFORCE Symbolic Regression")
parser.add_argument("--model_path", type=str, default="gpt2")
parser.add_argument("--dataset", type=str, default="./data/ppo_test/sin_x1.csv")
parser.add_argument("--output_dir", type=str, default="./output/reinforce")
parser.add_argument("--epochs", type=int, default=50)
parser.add_argument("--batch_size", type=int, default=16)
parser.add_argument("--grad_accum", type=int, default=2)
parser.add_argument("--lr", type=float, default=5e-5)
parser.add_argument("--entropy_coef", type=float, default=0.01)
parser.add_argument("--patience", type=int, default=20)
parser.add_argument("--cpu", action="store_true")
args = parser.parse_args()
# Load dataset
dataset_path = Path(args.dataset)
if not dataset_path.exists():
logger.error(f"Dataset not found: {dataset_path}")
return
reg = RegressionDataset(str(dataset_path.parent), dataset_path.name)
X, y = reg.get_numpy()
# Run experiment
experiment = ImprovedREINFORCE(
model_path=args.model_path,
X=X,
y=y,
output_dir=args.output_dir,
learning_rate=args.lr,
device="cpu" if args.cpu else None,
entropy_coef=args.entropy_coef,
)
results = experiment.run(
n_epochs=args.epochs,
batch_size=args.batch_size,
grad_accum_steps=args.grad_accum,
patience=args.patience,
)
# Save results
timestamp = datetime.datetime.now().strftime("%Y%m%d_%H%M%S")
results_file = Path(args.output_dir) / f"results_improved_{timestamp}.json"
# Convert for JSON serialization
results_json = {
"best_r2": float(results["best_r2"]),
"best_expression": results["best_expression"],
"history": results["history"],
"discovered_expressions": {k: float(v) for k, v in results["discovered_expressions"].items()},
}
with open(results_file, 'w') as f:
json.dump(results_json, f, indent=2)
logger.info(f"Results saved to: {results_file}")
if __name__ == "__main__":
main()
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