| """ |
| SmolLM Gradient SNR Analysis (Daman-style). |
| |
| For a FIXED batch of 64 prompts, compute S=64 gradient samples per |
| (advantage_type, rollout_num) pair. Each gradient sample re-samples rollouts |
| from the pre-computed pool, so the only source of variance is rollout sampling. |
| |
| Reports SNR = ||mean(grad)||^2 / sum(var(grad)) for MaxRL, GRPO, and RLOO. |
| Distributes experiments across GPUs with dynamic scheduling. |
| """ |
|
|
| import json |
| import os |
| import random |
| from functools import partial |
|
|
| import matplotlib |
| matplotlib.use("Agg") |
| import matplotlib.pyplot as plt |
| import numpy as np |
| import torch |
| import torch.multiprocessing as mp |
| from transformers import AutoModelForCausalLM, AutoTokenizer |
|
|
| |
| |
| |
| BATCH_SIZE = 64 |
| ROLLOUT_NUMS = [4, 8] |
| S = 64 |
| MICRO_BATCH_SIZE = 8 |
| MAX_SEQ_LEN = 2048 |
| SEED = 42 |
|
|
| ADVANTAGE_TYPES = ["maxrl", "grpo", "rloo"] |
|
|
| MODEL_PATH = "/work/nvme/bgif/gzeng/MAXRL/checkpoints/math/smollm2_0.3B_MaxRL_gsm8k_1000_steps" |
| DATA_PATH = "/work/nvme/bgif/gzeng/MAXRL/variance_analysis/data/SmolLM/512x512.jsonl" |
|
|
| GPU_IDS = [0, 1, 2, 3] |
| DTYPE = torch.bfloat16 |
|
|
| SCRIPT_DIR = os.path.dirname(os.path.abspath(__file__)) |
| OUTPUT_DIR = os.path.join(SCRIPT_DIR, "outputs", "SmolLM_SNR") |
|
|
| |
| |
| |
| _worker_model = None |
| _worker_tokenizer = None |
| _worker_prompt_data = None |
| _worker_fixed_prompt_ids = None |
| _worker_total_params = None |
| _worker_device = None |
|
|
|
|
| def worker_init(gpu_queue: mp.Queue): |
| global _worker_model, _worker_tokenizer, _worker_prompt_data |
| global _worker_fixed_prompt_ids, _worker_total_params, _worker_device |
|
|
| gpu_id = gpu_queue.get() |
| _worker_device = f"cuda:{gpu_id}" |
| print(f"[Worker PID={os.getpid()}] Assigned to GPU {gpu_id}") |
|
|
| _worker_tokenizer = AutoTokenizer.from_pretrained(MODEL_PATH) |
| if _worker_tokenizer.pad_token is None: |
| _worker_tokenizer.pad_token = _worker_tokenizer.eos_token |
|
|
| _worker_model = AutoModelForCausalLM.from_pretrained( |
| MODEL_PATH, torch_dtype=DTYPE, |
| ).to(_worker_device) |
| _worker_model.eval() |
| for p in _worker_model.parameters(): |
| p.requires_grad_(True) |
|
|
| _worker_total_params = sum(p.numel() for p in _worker_model.parameters()) |
| print(f"[GPU {gpu_id}] Model loaded: {_worker_total_params:,} parameters") |
|
|
| _worker_prompt_data = load_rollout_data(DATA_PATH) |
| |
| _worker_fixed_prompt_ids = list(range(BATCH_SIZE)) |
|
|
|
|
| |
| |
| |
| def load_rollout_data(data_path: str) -> dict: |
| prompt_to_id = {} |
| prompt_data = {} |
|
|
| with open(data_path, "r") as f: |
| for line in f: |
| item = json.loads(line) |
| prompt_text = item["input"] |
| if prompt_text not in prompt_to_id: |
| pid = len(prompt_to_id) |
| prompt_to_id[prompt_text] = pid |
| prompt_data[pid] = {"input": prompt_text, "rollouts": []} |
| pid = prompt_to_id[prompt_text] |
| prompt_data[pid]["rollouts"].append({ |
| "output": item["output"], |
| "score": item["score"], |
| }) |
|
|
| print(f"Loaded {len(prompt_data)} prompts, " |
| f"each with {len(prompt_data[0]['rollouts'])} rollouts") |
| return prompt_data |
|
|
|
|
| |
| |
| |
| def compute_advantage(scores: list[float], advantage_type: str, epsilon: float = 1e-6) -> list[float]: |
| n = len(scores) |
| mean = sum(scores) / n |
|
|
| if advantage_type == "maxrl": |
| |
| return [(s - mean) / (mean + epsilon) for s in scores] |
|
|
| elif advantage_type == "grpo": |
| |
| var = sum((s - mean) ** 2 for s in scores) / n |
| std = var ** 0.5 |
| return [(s - mean) / (std + epsilon) for s in scores] |
|
|
| elif advantage_type == "rloo": |
| |
| total = sum(scores) |
| return [s - (total - s) / (n - 1) for s in scores] |
|
|
| else: |
| raise ValueError(f"Unknown advantage type: {advantage_type}") |
|
|
|
|
| |
| |
| |
| def tokenize_and_get_response_mask( |
| tokenizer, prompt: str, response: str, max_seq_len: int, |
| ) -> tuple[torch.Tensor, torch.Tensor]: |
| prompt_ids = tokenizer.encode(prompt, add_special_tokens=False) |
| response_ids = tokenizer.encode(response, add_special_tokens=False) |
|
|
| total_len = len(prompt_ids) + len(response_ids) |
| if total_len > max_seq_len: |
| max_resp = max_seq_len - len(prompt_ids) |
| if max_resp <= 0: |
| prompt_ids = prompt_ids[:max_seq_len // 2] |
| max_resp = max_seq_len - len(prompt_ids) |
| response_ids = response_ids[:max_resp] |
|
|
| input_ids = prompt_ids + response_ids |
| response_mask = [0] * len(prompt_ids) + [1] * len(response_ids) |
|
|
| return ( |
| torch.tensor(input_ids, dtype=torch.long), |
| torch.tensor(response_mask, dtype=torch.float32), |
| ) |
|
|
|
|
| def pad_batch( |
| batch_input_ids: list[torch.Tensor], |
| batch_response_masks: list[torch.Tensor], |
| pad_token_id: int, |
| ) -> tuple[torch.Tensor, torch.Tensor, torch.Tensor]: |
| max_len = max(ids.shape[0] for ids in batch_input_ids) |
| B = len(batch_input_ids) |
|
|
| input_ids = torch.full((B, max_len), pad_token_id, dtype=torch.long) |
| response_mask = torch.zeros(B, max_len) |
| attention_mask = torch.zeros(B, max_len) |
|
|
| for i, (ids, rmask) in enumerate(zip(batch_input_ids, batch_response_masks)): |
| seq_len = ids.shape[0] |
| input_ids[i, max_len - seq_len:] = ids |
| response_mask[i, max_len - seq_len:] = rmask |
| attention_mask[i, max_len - seq_len:] = 1.0 |
|
|
| return input_ids, response_mask, attention_mask |
|
|
|
|
| |
| |
| |
| def compute_policy_gradient_loss( |
| model, input_ids, attention_mask, response_mask, advantages, |
| ) -> tuple[torch.Tensor, int]: |
| outputs = model(input_ids=input_ids, attention_mask=attention_mask) |
| logits = outputs.logits |
|
|
| shift_logits = logits[:, :-1, :] |
| shift_labels = input_ids[:, 1:] |
| shift_response_mask = response_mask[:, 1:] |
|
|
| log_probs = torch.log_softmax(shift_logits, dim=-1) |
| token_log_probs = torch.gather( |
| log_probs, dim=-1, index=shift_labels.unsqueeze(-1), |
| ).squeeze(-1) |
|
|
| token_losses = -advantages.unsqueeze(-1) * token_log_probs * shift_response_mask |
| valid_token_count = int(shift_response_mask.sum().item()) |
| loss = token_losses.sum() / max(valid_token_count, 1) |
| return loss, valid_token_count |
|
|
|
|
| |
| |
| |
| def collect_flat_gradient(model) -> torch.Tensor: |
| grads = [] |
| for p in model.parameters(): |
| if p.grad is not None: |
| grads.append(p.grad.detach().float().flatten()) |
| else: |
| grads.append(torch.zeros(p.numel(), dtype=torch.float32, device=p.device)) |
| return torch.cat(grads) |
|
|
|
|
| def gradient_snr(gradients: torch.Tensor, eps: float = 1e-8): |
| """ |
| Compute gradient SNR from (S, D) tensor of gradient vectors. |
| Returns: (snr, mean_sq_norm, var_sum) |
| """ |
| mu = gradients.mean(dim=0) |
| var = gradients.var(dim=0, unbiased=False) |
| mean_sq_norm = mu.pow(2).sum() |
| var_sum = var.sum() |
| snr = mean_sq_norm / (var_sum + eps) |
| return snr.item(), mean_sq_norm.item(), var_sum.item() |
|
|
|
|
| |
| |
| |
| def run_single_experiment(task: tuple[str, int]) -> tuple[str, dict]: |
| advantage_type, rollout_num = task |
| key = f"{advantage_type}_nr{rollout_num}" |
|
|
| model = _worker_model |
| tokenizer = _worker_tokenizer |
| prompt_data = _worker_prompt_data |
| fixed_prompt_ids = _worker_fixed_prompt_ids |
| device = _worker_device |
|
|
| print(f"[{device}] Starting {key}") |
|
|
| all_grads = [] |
|
|
| for s in range(S): |
| random.seed(SEED + s) |
|
|
| |
| all_input_ids = [] |
| all_response_masks = [] |
| all_advantages = [] |
|
|
| for pid in fixed_prompt_ids: |
| rollouts = prompt_data[pid]["rollouts"] |
| sampled = random.sample(rollouts, rollout_num) |
| scores = [r["score"] for r in sampled] |
| advantages = compute_advantage(scores, advantage_type) |
|
|
| for rollout, adv in zip(sampled, advantages): |
| ids, rmask = tokenize_and_get_response_mask( |
| tokenizer, prompt_data[pid]["input"], rollout["output"], MAX_SEQ_LEN, |
| ) |
| all_input_ids.append(ids) |
| all_response_masks.append(rmask) |
| all_advantages.append(adv) |
|
|
| |
| model.zero_grad() |
| total_valid_tokens = int( |
| sum(rmask[1:].sum().item() for rmask in all_response_masks) |
| ) |
| num_samples = len(all_input_ids) |
|
|
| for mb_start in range(0, num_samples, MICRO_BATCH_SIZE): |
| mb_end = min(mb_start + MICRO_BATCH_SIZE, num_samples) |
|
|
| mb_ids = all_input_ids[mb_start:mb_end] |
| mb_masks = all_response_masks[mb_start:mb_end] |
| mb_advs = all_advantages[mb_start:mb_end] |
|
|
| input_ids, response_mask, attention_mask = pad_batch( |
| mb_ids, mb_masks, tokenizer.pad_token_id, |
| ) |
| input_ids = input_ids.to(device) |
| response_mask = response_mask.to(device) |
| attention_mask = attention_mask.to(device) |
| advantages_t = torch.tensor(mb_advs, dtype=DTYPE, device=device) |
|
|
| mb_loss, mb_valid_tokens = compute_policy_gradient_loss( |
| model, input_ids, attention_mask, response_mask, advantages_t, |
| ) |
| scaled_loss = mb_loss * (mb_valid_tokens / max(total_valid_tokens, 1)) |
| scaled_loss.backward() |
|
|
| flat_grad = collect_flat_gradient(model).cpu() |
| all_grads.append(flat_grad) |
|
|
| if (s + 1) % 16 == 0: |
| print(f" [{device}] {key}: {s+1}/{S} gradient samples collected") |
|
|
| gradients = torch.stack(all_grads) |
| snr, mean_sq_norm, var_sum = gradient_snr(gradients) |
| print(f"[{device}] {key}: SNR={snr:.6f}, mean={mean_sq_norm:.6e}, var={var_sum:.6e}") |
|
|
| result = { |
| "snr": snr, |
| "mean": mean_sq_norm, |
| "var": var_sum, |
| } |
| return key, result |
|
|
|
|
| |
| |
| |
| LABEL_MAP = { |
| "maxrl": "MaxRL", |
| "grpo": "GRPO", |
| "rloo": "RLOO", |
| } |
|
|
| COLOR_MAP = { |
| "maxrl": "#e74c3c", |
| "grpo": "#3498db", |
| "rloo": "#2ecc71", |
| } |
|
|
|
|
| def plot_results(results: dict, output_dir: str): |
| fig, axes = plt.subplots(1, 3, figsize=(18, 5)) |
|
|
| |
| ax = axes[0] |
| for adv_type in ADVANTAGE_TYPES: |
| xs, ys = [], [] |
| for nr in ROLLOUT_NUMS: |
| key = f"{adv_type}_nr{nr}" |
| if key in results and results[key] is not None: |
| xs.append(nr) |
| ys.append(results[key]["snr"]) |
| label = LABEL_MAP.get(adv_type, adv_type) |
| ax.plot(xs, ys, marker="o", label=label, color=COLOR_MAP.get(adv_type)) |
| ax.set_xscale("log", base=2) |
| ax.set_xticks(ROLLOUT_NUMS) |
| ax.set_xticklabels(ROLLOUT_NUMS) |
| ax.set_xlabel("Rollouts (N)") |
| ax.set_ylabel("Gradient SNR") |
| ax.set_title(f"Gradient SNR (S={S}, batch={BATCH_SIZE})") |
| ax.legend() |
| ax.grid(True, which="both", linestyle="--", alpha=0.5) |
|
|
| |
| ax = axes[1] |
| for adv_type in ADVANTAGE_TYPES: |
| xs, ys = [], [] |
| for nr in ROLLOUT_NUMS: |
| key = f"{adv_type}_nr{nr}" |
| if key in results and results[key] is not None: |
| xs.append(nr) |
| ys.append(results[key]["mean"]) |
| label = LABEL_MAP.get(adv_type, adv_type) |
| ax.plot(xs, ys, marker="o", label=label, color=COLOR_MAP.get(adv_type)) |
| ax.set_xscale("log", base=2) |
| ax.set_xticks(ROLLOUT_NUMS) |
| ax.set_xticklabels(ROLLOUT_NUMS) |
| ax.set_xlabel("Rollouts (N)") |
| ax.set_ylabel("||mean(grad)||²") |
| ax.set_title("Signal (mean gradient norm²)") |
| ax.legend() |
| ax.grid(True, which="both", linestyle="--", alpha=0.5) |
|
|
| |
| ax = axes[2] |
| for adv_type in ADVANTAGE_TYPES: |
| xs, ys = [], [] |
| for nr in ROLLOUT_NUMS: |
| key = f"{adv_type}_nr{nr}" |
| if key in results and results[key] is not None: |
| xs.append(nr) |
| ys.append(results[key]["var"]) |
| label = LABEL_MAP.get(adv_type, adv_type) |
| ax.plot(xs, ys, marker="o", label=label, color=COLOR_MAP.get(adv_type)) |
| ax.set_xscale("log", base=2) |
| ax.set_xticks(ROLLOUT_NUMS) |
| ax.set_xticklabels(ROLLOUT_NUMS) |
| ax.set_xlabel("Rollouts (N)") |
| ax.set_ylabel("sum(var(grad))") |
| ax.set_title("Noise (gradient variance)") |
| ax.legend() |
| ax.grid(True, which="both", linestyle="--", alpha=0.5) |
|
|
| plt.tight_layout() |
| plt.savefig(os.path.join(output_dir, "snr_plot.pdf"), dpi=300) |
| plt.savefig(os.path.join(output_dir, "snr_plot.png"), dpi=300) |
| print(f"Plots saved to {output_dir}/snr_plot.{{pdf,png}}") |
|
|
|
|
| |
| |
| |
| def main(): |
| os.makedirs(OUTPUT_DIR, exist_ok=True) |
|
|
| |
| tasks = [] |
| for adv_type in ADVANTAGE_TYPES: |
| for rollout_num in ROLLOUT_NUMS: |
| tasks.append((adv_type, rollout_num)) |
|
|
| print(f"Scheduling {len(tasks)} experiments across {len(GPU_IDS)} GPUs") |
| print(f"Fixed batch: first {BATCH_SIZE} prompts, S={S} gradient samples each") |
|
|
| gpu_queue = mp.Queue() |
| for gid in GPU_IDS: |
| gpu_queue.put(gid) |
|
|
| with mp.Pool( |
| processes=len(GPU_IDS), |
| initializer=worker_init, |
| initargs=(gpu_queue,), |
| ) as pool: |
| results_list = pool.map(run_single_experiment, tasks) |
|
|
| results = dict(results_list) |
|
|
| results_path = os.path.join(OUTPUT_DIR, "snr_results.json") |
| with open(results_path, "w") as f: |
| json.dump(results, f, indent=2) |
| print(f"Results saved to {results_path}") |
|
|
| plot_results(results, OUTPUT_DIR) |
| print("All done!") |
|
|
|
|
| if __name__ == "__main__": |
| mp.set_start_method("spawn") |
| main() |
|
|