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"""
Improved GRPO (Group Relative Policy Optimization) for Symbolic Regression
Improvements over basic GRPO:
1. Filter invalid expressions before computing group statistics
2. Reward shaping with softer penalties
3. Hybrid baseline: group stats + exponential moving average
4. Entropy bonus for exploration
5. Advantage clipping to prevent extreme updates
6. Minimum valid ratio check before updates
7. Temperature annealing for better exploration/exploitation
"""
import os
import sys
import json
import argparse
import logging
import datetime
from pathlib import Path
from typing import List, Dict, Tuple
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 ImprovedGRPO:
"""Improved GRPO for symbolic regression."""
def __init__(
self,
model_path: str,
X: np.ndarray,
y: np.ndarray,
output_dir: str = "./output/grpo",
learning_rate: float = 5e-5,
device: str = None,
group_size: int = 16, # Larger groups for better statistics
entropy_coef: float = 0.01,
advantage_clip: float = 2.0, # Clip extreme advantages
min_valid_ratio: float = 0.2, # Minimum valid expressions to update
):
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.group_size = group_size
self.entropy_coef = entropy_coef
self.advantage_clip = advantage_clip
self.min_valid_ratio = min_valid_ratio
# 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
self.optimizer = torch.optim.AdamW(
self.model.parameters(),
lr=learning_rate,
weight_decay=0.01
)
# 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 = []
self.discovered_expressions: Dict[str, float] = {}
# Hybrid baseline: EMA of valid rewards
self.ema_baseline = 0.0
self.ema_decay = 0.9
self.reward_buffer = deque(maxlen=100)
# Temperature annealing
self.initial_temp = 0.8
self.min_temp = 0.5
self.current_temp = self.initial_temp
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
lora_config = LoraConfig(
r=8,
lora_alpha=16,
target_modules=["c_attn"],
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)]
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]
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."""
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 for better learning signal."""
if not is_valid:
return -0.1 # Small penalty, not -1.0
# Bonus for high R²
if r2 >= 0.99:
return 2.0 # Big bonus for near-perfect
elif r2 >= 0.9:
return r2 * 1.5
elif r2 >= 0.5:
return r2 * 1.2
elif r2 >= 0:
return r2
else:
return r2 * 0.5 # Reduce negative penalty
def generate_group(self, max_new_tokens: int = 50) -> List[Dict]:
"""Generate a group of expressions."""
results = []
for _ in range(self.group_size):
generated_ids = self.prompt_ids.clone()
generated_tokens = []
# Phase 1: Generate tokens
with torch.no_grad():
for _ in range(max_new_tokens):
outputs = self.model(generated_ids)
logits = outputs.logits[:, -1, :] / self.current_temp
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 evaluate
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: Compute log probs with gradients
if len(generated_tokens) > 0:
full_ids = torch.cat([
self.prompt_ids,
torch.tensor([generated_tokens], device=self.device)
], dim=1)
outputs = self.model(full_ids[:, :-1])
logits = outputs.logits / self.current_temp
prompt_len = self.prompt_ids.shape[1]
gen_logits = logits[:, prompt_len-1:, :]
log_probs_all = F.log_softmax(gen_logits, dim=-1)
probs_all = F.softmax(gen_logits, dim=-1)
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()
# Entropy for exploration
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
if is_valid:
self.discovered_expressions[expr_str] = max(
self.discovered_expressions.get(expr_str, -np.inf), r2
)
self.reward_buffer.append(reward)
if r2 > self.best_r2:
self.best_r2 = r2
self.best_expression = expr_str
if self.device.type == "cuda":
torch.cuda.empty_cache()
return results
def compute_advantages(self, results: List[Dict]) -> Tuple[List[float], dict]:
"""
Compute improved GRPO advantages.
Key improvement: Only use VALID expressions for group statistics.
Invalid expressions get a fixed small negative advantage.
"""
valid_results = [r for r in results if r["is_valid"]]
valid_rewards = [r["reward"] for r in valid_results]
stats = {
"valid_count": len(valid_results),
"total_count": len(results),
"valid_ratio": len(valid_results) / len(results),
}
# If too few valid expressions, use EMA baseline only
if len(valid_rewards) < 2:
advantages = []
for r in results:
if r["is_valid"]:
adv = r["reward"] - self.ema_baseline
else:
adv = -0.5 # Fixed penalty for invalid
advantages.append(adv)
stats["method"] = "ema_only"
return advantages, stats
# Compute group statistics from valid expressions only
group_mean = np.mean(valid_rewards)
group_std = np.std(valid_rewards)
# Update EMA baseline
self.ema_baseline = self.ema_decay * self.ema_baseline + (1 - self.ema_decay) * group_mean
# Hybrid baseline: combine group mean with EMA
hybrid_baseline = 0.7 * group_mean + 0.3 * self.ema_baseline
# Avoid division by zero
if group_std < 1e-8:
group_std = 1.0
# Compute advantages
advantages = []
for r in results:
if r["is_valid"]:
# Normalized advantage for valid expressions
adv = (r["reward"] - hybrid_baseline) / group_std
# Clip to prevent extreme updates
adv = np.clip(adv, -self.advantage_clip, self.advantage_clip)
else:
# Small fixed penalty for invalid (doesn't pollute group stats)
adv = -0.3
advantages.append(adv)
stats["method"] = "hybrid"
stats["group_mean"] = group_mean
stats["group_std"] = group_std
stats["ema_baseline"] = self.ema_baseline
return advantages, stats
def train_step(self, num_groups: int = 2) -> dict:
"""Perform one training step."""
self.model.train()
all_results = []
all_advantages = []
total_policy_loss = 0.0
total_entropy_loss = 0.0
skipped_groups = 0
self.optimizer.zero_grad()
for _ in range(num_groups):
if self.device.type == "cuda":
torch.cuda.empty_cache()
# Generate group
group_results = self.generate_group()
all_results.extend(group_results)
# Compute advantages
advantages, adv_stats = self.compute_advantages(group_results)
all_advantages.extend(advantages)
# Skip update if too few valid expressions
if adv_stats["valid_ratio"] < self.min_valid_ratio:
skipped_groups += 1
continue
# Compute loss
policy_loss = torch.tensor(0.0, device=self.device)
entropy_loss = torch.tensor(0.0, device=self.device)
valid_count = 0
for result, advantage in zip(group_results, advantages):
if result["is_valid"] and advantage != 0:
policy_loss = policy_loss - result["log_prob"] * advantage
entropy_loss = entropy_loss - result["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 / num_groups
loss.backward()
total_policy_loss += policy_loss.item()
total_entropy_loss += entropy_loss.item()
# Only update if we had valid groups
if skipped_groups < num_groups:
torch.nn.utils.clip_grad_norm_(self.model.parameters(), max_norm=1.0)
self.optimizer.step()
self.scheduler.step()
# 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": int(sum(valid_mask)),
"total_count": len(all_results),
"valid_rate": sum(valid_mask) / len(all_results) if all_results else 0,
"mean_r2": float(np.mean(valid_r2)) if valid_r2 else 0.0,
"max_r2": float(max(r2_values)) if r2_values else 0.0,
"mean_advantage": float(np.mean(all_advantages)) if all_advantages else 0.0,
"ema_baseline": self.ema_baseline,
"policy_loss": total_policy_loss / max(num_groups - skipped_groups, 1),
"entropy_loss": total_entropy_loss / max(num_groups - skipped_groups, 1),
"lr": self.scheduler.get_last_lr()[0],
"temperature": self.current_temp,
"skipped_groups": skipped_groups,
}
def anneal_temperature(self, epoch: int, total_epochs: int):
"""Anneal temperature from initial to minimum."""
progress = epoch / total_epochs
self.current_temp = self.initial_temp - progress * (self.initial_temp - self.min_temp)
def run(
self,
epochs: int = 50,
num_groups: int = 2,
target_r2: float = 0.99,
patience: int = 20,
) -> dict:
"""Run improved GRPO training."""
logger.info("=" * 60)
logger.info("IMPROVED GRPO SYMBOLIC REGRESSION")
logger.info("=" * 60)
logger.info(f"Epochs: {epochs}")
logger.info(f"Group size: {self.group_size}")
logger.info(f"Num groups: {num_groups}")
logger.info(f"Effective batch: {self.group_size * num_groups}")
logger.info(f"Entropy coef: {self.entropy_coef}")
logger.info(f"Advantage clip: {self.advantage_clip}")
logger.info(f"Min valid ratio: {self.min_valid_ratio}")
logger.info(f"Target R^2: {target_r2}")
logger.info("=" * 60)
no_improvement_count = 0
best_r2_at_start = self.best_r2
for epoch in range(1, epochs + 1):
# Anneal temperature
self.anneal_temperature(epoch, epochs)
stats = self.train_step(num_groups)
self.history.append({
"epoch": epoch,
**stats,
"best_r2": self.best_r2,
})
logger.info(
f"Epoch {epoch:3d} | "
f"Valid: {stats['valid_count']}/{stats['total_count']} | "
f"Mean R²: {stats['mean_r2']:.4f} | "
f"Best: {self.best_r2:.4f} | "
f"EMA: {stats['ema_baseline']:.3f} | "
f"Temp: {stats['temperature']:.2f} | "
f"LR: {stats['lr']:.2e}"
)
# Check for target
if self.best_r2 >= target_r2:
logger.info(f"Target R^2 {target_r2} reached at epoch {epoch}!")
break
# Early stopping
if self.best_r2 > best_r2_at_start:
best_r2_at_start = self.best_r2
no_improvement_count = 0
else:
no_improvement_count += 1
if no_improvement_count >= patience:
logger.info(f"No improvement for {patience} epochs. Early stopping.")
break
# Final results
logger.info("")
logger.info("=" * 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)}")
top_exprs = sorted(
self.discovered_expressions.items(),
key=lambda x: x[1],
reverse=True
)[:5]
logger.info("Top 5 expressions:")
for expr, r2 in top_exprs:
logger.info(f" R²={r2:.4f}: {expr}")
# Save results
results = {
"algorithm": "ImprovedGRPO",
"best_r2": self.best_r2,
"best_expression": self.best_expression,
"history": self.history,
"discovered_expressions": dict(list(self.discovered_expressions.items())[:100]),
"config": {
"group_size": self.group_size,
"num_groups": num_groups,
"learning_rate": self.learning_rate,
"entropy_coef": self.entropy_coef,
"advantage_clip": self.advantage_clip,
"min_valid_ratio": self.min_valid_ratio,
}
}
timestamp = datetime.datetime.now().strftime("%Y%m%d_%H%M%S")
output_path = self.output_dir / f"results_grpo_improved_{timestamp}.json"
with open(output_path, "w") as f:
json.dump(results, f, indent=2)
logger.info(f"Results saved to: {output_path}")
return results
def main():
parser = argparse.ArgumentParser(description="Improved GRPO for Symbolic Regression")
parser.add_argument("--model_path", type=str, required=True)
parser.add_argument("--dataset", type=str, required=True)
parser.add_argument("--output_dir", type=str, default="./output/grpo")
parser.add_argument("--epochs", type=int, default=50)
parser.add_argument("--group_size", type=int, default=16)
parser.add_argument("--num_groups", type=int, default=2)
parser.add_argument("--learning_rate", type=float, default=5e-5)
parser.add_argument("--target_r2", type=float, default=0.99)
parser.add_argument("--entropy_coef", type=float, default=0.01)
args = parser.parse_args()
# Load dataset
import pandas as pd
df = pd.read_csv(args.dataset)
x_cols = [c for c in df.columns if c.startswith('x_')]
X = df[x_cols].values
y = df['y'].values
logger.info(f"Loaded dataset: {args.dataset}")
logger.info(f" Samples: {len(df)}, Variables: {len(x_cols)}")
# Create trainer
grpo = ImprovedGRPO(
model_path=args.model_path,
X=X,
y=y,
output_dir=args.output_dir,
learning_rate=args.learning_rate,
group_size=args.group_size,
entropy_coef=args.entropy_coef,
)
# Run training
results = grpo.run(
epochs=args.epochs,
num_groups=args.num_groups,
target_r2=args.target_r2,
)
if __name__ == "__main__":
main()
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