Agent Conversation: qwen3.6-plus
Model: qwen3.6-plus
Total steps: 13
Messages: 28
UserStep 0
Task: llm-pretrain-loss
LLM Pretraining: Loss Function Optimization
Research Question
Design an improved loss function for GPT-2 language model pretraining. Your modifications should reduce validation loss compared to standard cross-entropy.
What You Can Modify
The compute_loss function (lines 189-191) in custom_pretrain.py:
- Loss function formulation (default: standard cross-entropy)
- Logit processing (e.g., softcapping, temperature scaling)
- Regularization terms (e.g., z-loss, entropy penalties)
- Label distribution modifications (e.g., label smoothing)
Note: The function signature compute_loss(logits, targets) must be preserved. logits has shape (B, T, V) and targets has shape (B, T). The function is called inside the model's forward pass during training.
Evaluation
- Metric: Validation loss (cross-entropy, lower is better), plus perplexity (WikiText-2, LAMBADA) and downstream accuracy (ARC-Easy, HellaSwag, PIQA, WinoGrande)
- Model: GPT-2 Medium (24L/16H/1024D, ~355M params)
- Dataset: FineWeb 10B (GPT-2 tokenizer), ~7.1B tokens (D=20N Chinchilla-optimal)
- Training: 13535 iterations, BSZ=64, GA=8, 2-GPU DDP
- Hardware: H200 GPU
nanoGPT/custom_pretrain.py [EDITABLE — lines 188–191, lines 247–249 only]
1: """Custom GPT-2 Pretraining Script
2: Based on Andrej Karpathy's nanoGPT, evaluated on FineWeb dataset.
3: """
4:
5: import math
6: import inspect
7: import os
8: import time
9: from contextlib import nullcontext
10: from dataclasses import dataclass
11:
12: import numpy as np
13: import torch
14: import torch.nn as nn
15: from torch.nn import functional as F
16:
17: # ============================================================================
18: # Model Components
19: # ============================================================================
20:
21: # ── Normalization ──────────────────────────────────────────────────────────
22: class LayerNorm(nn.Module):
23: """LayerNorm but with an optional bias."""
24: def __init__(self, ndim, bias):
25: super().__init__()
26: self.weight = nn.Parameter(torch.ones(ndim))
27: self.bias = nn.Parameter(torch.zeros(ndim)) if bias else None
28:
29: def forward(self, input):
30: return F.layer_norm(input, self.weight.shape, self.weight, self.bias, 1e-5)
31:
32: # ── Self-Attention ─────────────────────────────────────────────────────────
33: class CausalSelfAttention(nn.Module):
34: def __init__(self, config):
35: super().__init__()
36: assert config.n_embd % config.n_head == 0
37: self.c_attn = nn.Linear(config.n_embd, 3 * config.n_embd, bias=config.bias)
38: self.c_proj = nn.Linear(config.n_embd, config.n_embd, bias=config.bias)
39: self.attn_dropout = nn.Dropout(config.drAssistantStep 1edit
Tool Input
1{
2 "op": "replace",
3 "filename": "nanoGPT/custom_pretrain.py",
4 "content": "# ── Loss Computation ───────────────────────────────────────────────────────\ndef compute_loss(logits, targets):\n \"\"\"Focal cross-entropy with z-loss during training.\n \n Focal loss (gamma=1.5) down-weights easy examples and focuses optimization\n on hard-to-predict tokens, improving learning on the long-tail of the token\n distribution. Z-loss penalizes large log-partition values for stability.\n During evaluation, standard cross-entropy is returned for comparable metrics.\n \"\"\"\n flat_logits = logits.view(-1, logits.size(-1)).float()\n flat_targets = targets.view(-1)\n \n if not torch.is_grad_enabled():\n return F.cross_entropy(flat_logits, flat_targets, ignore_index=-1)\n \n # Focal loss focusing parameter\n gamma = 1.5\n \n # Compute log softmax probabilities\n log_probs = F.log_softmax(flat_logits, dim=-1)\n \n # Get log probability of target class\n target_indices = flat_targets.clamp(min=0)\n target_log_probs = log_probs.gather(1, target_indices.unsqueeze(1)).squeeze(1)\n target_probs = target_log_probs.exp()\n \n # Focal weighting: (1 - p_t)^gamma\n focal_weight = (1 - target_probs) ** gamma\n \n # Per-token cross-entropy\n ce_loss = -target_log_probs\n \n # Mask for valid (non-ignored) tokens\n mask = flat_targets != -1\n \n # Apply focal weighting with masking\n focal_loss = (focal_weight * ce_loss * mask.float()).sum() / mask.sum()\n \n # Z-loss: penalize large log-partition values for stability\n log_z = torch.logsumexp(flat_logits, dim=-1)\n z_loss = ((log_z ** 2) * mask.float()).sum() / mask.sum()\n \n return focal_loss + 1e-4 * z_loss",
5 "start_line": 187,
6 "end_line": 190
7}Tool ResultStep 1
ERROR: Lines 187..190 exceed the editable range. You may only edit lines 188–191, 247–249.
[Current file: nanoGPT/custom_pretrain.py | editable: 188–191, 247–249 | total: 439 lines]
188 def compute_loss(logits, targets):
189 """Compute language modeling loss from logits and targets."""
190 return F.cross_entropy(logits.view(-1, logits.size(-1)), targets.view(-1), ignore_index=-1)
191
...
247 # CONFIG_OVERRIDES: override training hyperparameters for your method.
248 # Allowed keys: learning_rate, weight_decay, warmup_iters, min_lr, grad_clip.
249 CONFIG_OVERRIDES = {}AssistantStep 2edit
Tool Input
1{
2 "content": "def compute_loss(logits, targets):\n \"\"\"Focal cross-entropy with z-loss during training.\n \n Focal loss (gamma=1.5) down-weights easy examples and focuses optimization\n on hard-to-predict tokens, improving learning on the long-tail of the token\n distribution. Z-loss penalizes large log-partition values for stability.\n During evaluation, standard cross-entropy is returned for comparable metrics.\n \"\"\"\n flat_logits = logits.view(-1, logits.size(-1)).float()\n flat_targets = targets.view(-1)\n \n if not torch.is_grad_enabled():\n return F.cross_entropy(flat_logits, flat_targets, ignore_index=-1)\n \n # Focal loss focusing parameter\n gamma = 1.5\n \n # Compute log softmax probabilities\n log_probs = F.log_softmax(flat_logits, dim=-1)\n \n # Get log probability of target class\n target_indices = flat_targets.clamp(min=0)\n target_log_probs = log_probs.gather(1, target_indices.unsqueeze(1)).squeeze(1)\n target_probs = target_log_probs.exp()\n \n # Focal weighting: (1 - p_t)^gamma\n focal_weight = (1 - target_probs) ** gamma\n \n # Per-token cross-entropy\n ce_loss = -target_log_probs\n \n # Mask for valid (non-ignored) tokens\n mask = flat_targets != -1\n \n # Apply focal weighting with masking\n focal_loss = (focal_weight * ce_loss * mask.float()).sum() / mask.sum()\n \n # Z-loss: penalize large log-partition values for stability\n log_z = torch.logsumexp(flat_logits, dim=-1)\n z_loss = ((log_z ** 2) * mask.float()).sum() / mask.sum()\n \n return focal_loss + 1e-4 * z_loss\n\n",
3 "end_line": 190,
4 "filename": "nanoGPT/custom_pretrain.py",
5 "start_line": 188,
6 "op": "replace"
7}Tool ResultStep 2
OK: Replaced lines 188..190 with 43 line(s) in nanoGPT/custom_pretrain.py. Editable range: 188–231, 287–289.
[Current file: nanoGPT/custom_pretrain.py | editable: 188–231, 287–289 | total: 479 lines]
188 def compute_loss(logits, targets):
189 """Focal cross-entropy with z-loss during training.
190
... (38 more lines) ...
229 return focal_loss + 1e-4 * z_loss
230
231
...
287 # CONFIG_OVERRIDES: override training hyperparameters for your method.
288 # Allowed keys: learning_rate, weight_decay, warmup_iters, min_lr, grad_clip.
289 CONFIG_OVERRIDES = {}AssistantStep 3test
Tool ResultStep 3
[Test #1] (2 tests remaining; call submit(n=N) to choose which test result to submit as final)
### gpt-345m (scripts/gpt_345m.sh)
Training metrics (last steps):
TRAIN_METRICS: step=9000, train_loss=2.6556, val_loss=2.3802
TRAIN_METRICS: step=10000, train_loss=2.6337, val_loss=2.3512
TRAIN_METRICS: step=11000, train_loss=2.6141, val_loss=2.3412
TRAIN_METRICS: step=12000, train_loss=2.5952, val_loss=2.3241
TRAIN_METRICS: step=13000, train_loss=2.5797, val_loss=2.3148
Final metrics (gpt-345m): val_loss_gpt-345m=2.3070, wikitext2_ppl_gpt-345m=44.2000, lambada_ppl_gpt-345m=69.4200
### lm-eval-345m (scripts/lm_eval_345m.sh)
Final metrics (lm-eval-345m): arc_easy_lm-eval-345m=55.7200, hellaswag_lm-eval-345m=33.5800, piqa_lm-eval-345m=63.3800, winogrande_lm-eval-345m=51.3800
[Leaderboard] Results saved: {'val_loss_gpt-345m': 2.307, 'wikitext2_ppl_gpt-345m': 44.2, 'lambada_ppl_gpt-345m': 69.42, 'elapsed_gpt-345m': 20521, 'arc_easy_lm-eval-345m': 55.72, 'hellaswag_lm-eval-345m': 33.58, 'piqa_
AssistantStep 4edit
Tool Input
1{
2 "op": "replace",
3 "filename": "nanoGPT/custom_pretrain.py",
4 "content": "def compute_loss(logits, targets):\n \"\"\"Combined loss: softcapped logits + z-loss + entropy bonus during training.\n \n 1. Softcapping bounds logit magnitudes (from Gemma), improving optimization.\n 2. Z-loss penalizes large log-partition values, preventing logit explosion.\n 3. Entropy bonus prevents overconfident predictions early in training.\n During evaluation, standard cross-entropy is returned for comparable metrics.\n \"\"\"\n flat_logits = logits.view(-1, logits.size(-1)).float()\n flat_targets = targets.view(-1)\n \n if not torch.is_grad_enabled():\n return F.cross_entropy(flat_logits, flat_targets, ignore_index=-1)\n \n # 1. Softcapping: tanh(logits / C) * C (Gemma-style)\n softcap = 30.0\n capped_logits = softcap * torch.tanh(flat_logits / softcap)\n \n # 2. Cross-entropy with label smoothing\n ce_loss = F.cross_entropy(capped_logits, flat_targets, ignore_index=-1, label_smoothing=0.03)\n \n # 3. Z-loss: penalize large log-partition values\n mask = flat_targets != -1\n log_z = torch.logsumexp(capped_logits, dim=-1)\n z_loss = ((log_z ** 2) * mask.float()).sum() / mask.sum()\n \n # 4. Entropy bonus: encourage prediction entropy\n log_probs = F.log_softmax(capped_logits, dim=-1)\n probs = log_probs.exp()\n entropy = -(probs * log_probs).sum(dim=-1)\n entropy_reg = -((entropy * mask.float()).sum() / mask.sum()) # negative to maximize entropy\n \n return ce_loss + 1e-4 * z_loss + 0.05 * entropy_reg",
5 "start_line": 188,
6 "end_line": 229
7}Tool ResultStep 4
OK: Replaced lines 188..229 with 33 line(s) in nanoGPT/custom_pretrain.py. Editable range: 188–222, 278–280.
[Current file: nanoGPT/custom_pretrain.py | editable: 188–222, 278–280 | total: 470 lines]
188 def compute_loss(logits, targets):
189 """Combined loss: softcapped logits + z-loss + entropy bonus during training.
190
... (29 more lines) ...
220 return ce_loss + 1e-4 * z_loss + 0.05 * entropy_reg
221
222
...
278 # CONFIG_OVERRIDES: override training hyperparameters for your method.
279 # Allowed keys: learning_rate, weight_decay, warmup_iters, min_lr, grad_clip.
280 CONFIG_OVERRIDES = {}AssistantStep 5edit
Tool Input
1{
2 "content": "def compute_loss(logits, targets):\n \"\"\"Combined loss: Gemma-style softcap + label smoothing + z-loss.\n \n 1. Softcapping (tanh) bounds logit magnitudes for stable optimization.\n 2. Label smoothing prevents overconfident predictions.\n 3. Z-loss penalizes large log-partition values to prevent logit explosion.\n During evaluation, standard cross-entropy is returned for comparable metrics.\n \"\"\"\n flat_logits = logits.view(-1, logits.size(-1)).float()\n flat_targets = targets.view(-1)\n \n if not torch.is_grad_enabled():\n return F.cross_entropy(flat_logits, flat_targets, ignore_index=-1)\n \n # 1. Gemma-style softcapping: C * tanh(logits / C)\n softcap = 30.0\n capped_logits = softcap * torch.tanh(flat_logits / softcap)\n \n # 2. Cross-entropy with label smoothing\n ce_loss = F.cross_entropy(capped_logits, flat_targets, ignore_index=-1, label_smoothing=0.03)\n \n # 3. Z-loss: penalize large log-partition values\n mask = flat_targets != -1\n log_z = torch.logsumexp(capped_logits, dim=-1)\n z_loss = ((log_z ** 2) * mask.float()).sum() / mask.sum()\n \n return ce_loss + 1e-4 * z_loss",
3 "end_line": 220,
4 "filename": "nanoGPT/custom_pretrain.py",
5 "start_line": 188,
6 "op": "replace"
7}Tool ResultStep 5
OK: Replaced lines 188..220 with 27 line(s) in nanoGPT/custom_pretrain.py. Editable range: 188–216, 272–274.
[Current file: nanoGPT/custom_pretrain.py | editable: 188–216, 272–274 | total: 464 lines]
188 def compute_loss(logits, targets):
189 """Combined loss: Gemma-style softcap + label smoothing + z-loss.
190
... (23 more lines) ...
214 return ce_loss + 1e-4 * z_loss
215
216
...
272 # CONFIG_OVERRIDES: override training hyperparameters for your method.
273 # Allowed keys: learning_rate, weight_decay, warmup_iters, min_lr, grad_clip.
274 CONFIG_OVERRIDES = {}AssistantStep 6test
Tool ResultStep 6
[Test #2] (1 test remaining; call submit(n=N) to choose which test result to submit as final)
### gpt-345m (scripts/gpt_345m.sh)
Training metrics (last steps):
TRAIN_METRICS: step=9000, train_loss=2.6501, val_loss=2.3736
TRAIN_METRICS: step=10000, train_loss=2.6272, val_loss=2.3456
TRAIN_METRICS: step=11000, train_loss=2.6089, val_loss=2.3359
TRAIN_METRICS: step=12000, train_loss=2.5891, val_loss=2.3179
TRAIN_METRICS: step=13000, train_loss=2.5732, val_loss=2.3077
Final metrics (gpt-345m): val_loss_gpt-345m=2.3010, wikitext2_ppl_gpt-345m=45.4200, lambada_ppl_gpt-345m=69.0200
### lm-eval-345m (scripts/lm_eval_345m.sh)
Final metrics (lm-eval-345m): arc_easy_lm-eval-345m=53.7500, hellaswag_lm-eval-345m=33.1000, piqa_lm-eval-345m=64.5800, winogrande_lm-eval-345m=50.5100
[Leaderboard] Results saved: {'val_loss_gpt-345m': 2.301, 'wikitext2_ppl_gpt-345m': 45.42, 'lambada_ppl_gpt-345m': 69.02, 'elapsed_gpt-345m': 20589, 'arc_easy_lm-eval-345m': 53.75, 'hellaswag_lm-eval-345m': 33.1, 'piqa_l
AssistantStep 7edit
Tool Input
1{
2 "end_line": 214,
3 "filename": "nanoGPT/custom_pretrain.py",
4 "op": "replace",
5 "start_line": 188,
6 "content": "def compute_loss(logits, targets):\n \"\"\"Symmetric cross-entropy (forward KL + backward KL) with softcapping.\n \n Symmetric CE combines standard CE (forward KL) with reverse KL (penalizing\n the model for spreading probability mass away from the target). This creates\n a tighter optimization landscape. Label smoothing is applied to the forward\n direction for calibration. Softcapping bounds logit magnitudes.\n During evaluation, standard cross-entropy is returned for comparable metrics.\n \"\"\"\n flat_logits = logits.view(-1, logits.size(-1)).float()\n flat_targets = targets.view(-1)\n mask = flat_targets != -1\n \n if not torch.is_grad_enabled():\n return F.cross_entropy(flat_logits, flat_targets, ignore_index=-1)\n \n # Softcapping for stability\n softcap = 30.0\n capped_logits = softcap * torch.tanh(flat_logits / softcap)\n \n # Forward KL: standard cross-entropy with label smoothing\n forward_ce = F.cross_entropy(capped_logits, flat_targets, ignore_index=-1, label_smoothing=0.05)\n \n # Backward KL: -(1/V) * sum_k log p(k|x) where V is vocab size\n # This penalizes spreading probability mass too thinly\n log_probs = F.log_softmax(capped_logits, dim=-1)\n mask_expanded = mask.float().unsqueeze(1) # (N, 1)\n \n # Average log prob across vocab for masked positions\n avg_log_prob = (log_probs * mask_expanded).sum(dim=-1) / mask_expanded.sum()\n reverse_kl = -(avg_log_prob * mask.float()).sum() / mask.sum()\n \n # Z-loss for stability\n log_z = torch.logsumexp(capped_logits, dim=-1)\n z_loss = ((log_z ** 2) * mask.float()).sum() / mask.sum()\n \n # Combine: forward CE dominates, reverse KL regularizes\n return forward_ce + 0.02 * reverse_kl + 1e-4 * z_loss"
7}Tool ResultStep 7
OK: Replaced lines 188..214 with 38 line(s) in nanoGPT/custom_pretrain.py. Editable range: 188–227, 283–285.
[Current file: nanoGPT/custom_pretrain.py | editable: 188–227, 283–285 | total: 475 lines]
188 def compute_loss(logits, targets):
189 """Symmetric cross-entropy (forward KL + backward KL) with softcapping.
190
... (34 more lines) ...
225 return forward_ce + 0.02 * reverse_kl + 1e-4 * z_loss
226
227
...
283 # CONFIG_OVERRIDES: override training hyperparameters for your method.
284 # Allowed keys: learning_rate, weight_decay, warmup_iters, min_lr, grad_clip.
285 CONFIG_OVERRIDES = {}AssistantStep 8edit
Tool Input
1{
2 "content": "def compute_loss(logits, targets):\n \"\"\"Focal softcapped cross-entropy with z-loss.\n \n Combines three techniques for improved pretraining:\n 1. Softcapping bounds logits for stable optimization (Gemma-style).\n 2. Focal loss (gamma=0.5) focuses on harder tokens.\n 3. Z-loss prevents logit explosion.\n \n Lower gamma=0.5 (vs typical 2.0 for detection) since LM tokens are \n already quite hard - we want gentle reweighting, not aggressive focusing.\n During evaluation, standard cross-entropy is returned for comparable metrics.\n \"\"\"\n flat_logits = logits.view(-1, logits.size(-1)).float()\n flat_targets = targets.view(-1)\n mask = flat_targets != -1\n \n if not torch.is_grad_enabled():\n return F.cross_entropy(flat_logits, flat_targets, ignore_index=-1)\n \n # Softcapping for stability\n softcap = 30.0\n capped_logits = softcap * torch.tanh(flat_logits / softcap)\n \n # Log probabilities\n log_probs = F.log_softmax(capped_logits, dim=-1)\n \n # Focal loss: -alpha * (1 - p_t)^gamma * log(p_t)\n gamma = 0.5\n target_indices = flat_targets.clamp(min=0)\n target_log_probs = log_probs.gather(1, target_indices.unsqueeze(1)).squeeze(1)\n \n # p_t for each token\n p_t = target_log_probs.exp()\n \n # Focal weight\n focal_weight = (1 - p_t) ** gamma\n \n # Per-token focal loss\n per_token_loss = focal_weight * (-target_log_probs)\n \n # Average over valid tokens\n focal_loss = (per_token_loss * mask.float()).sum() / mask.sum()\n \n # Z-loss for stability\n log_z = torch.logsumexp(capped_logits, dim=-1)\n z_loss = ((log_z ** 2) * mask.float()).sum() / mask.sum()\n \n return focal_loss + 1e-4 * z_loss",
3 "end_line": 225,
4 "filename": "nanoGPT/custom_pretrain.py",
5 "start_line": 188,
6 "op": "replace"
7}Tool ResultStep 8
OK: Replaced lines 188..225 with 48 line(s) in nanoGPT/custom_pretrain.py. Editable range: 188–237, 293–295.
[Current file: nanoGPT/custom_pretrain.py | editable: 188–237, 293–295 | total: 485 lines]
188 def compute_loss(logits, targets):
189 """Focal softcapped cross-entropy with z-loss.
190
... (44 more lines) ...
235 return focal_loss + 1e-4 * z_loss
236
237
...
293 # CONFIG_OVERRIDES: override training hyperparameters for your method.
294 # Allowed keys: learning_rate, weight_decay, warmup_iters, min_lr, grad_clip.
295 CONFIG_OVERRIDES = {}AssistantStep 9edit
Tool Input
1{
2 "content": "def compute_loss(logits, targets):\n \"\"\"Focal-softcap cross-entropy with label smoothing and z-loss.\n \n Combines four complementary techniques:\n 1. Softcapping bounds logits for stable optimization (Gemma-style).\n 2. Label smoothing prevents overconfidence and improves calibration.\n 3. Focal loss (gamma=0.75) focuses optimization on harder tokens.\n 4. Z-loss prevents logit explosion.\n \n Gamma=0.75 provides moderate reweighting: enough to focus on hard tokens\n without destabilizing training. During evaluation, standard cross-entropy\n is returned for comparable metrics.\n \"\"\"\n flat_logits = logits.view(-1, logits.size(-1)).float()\n flat_targets = targets.view(-1)\n mask = flat_targets != -1\n n_valid = mask.sum()\n \n if not torch.is_grad_enabled():\n return F.cross_entropy(flat_logits, flat_targets, ignore_index=-1)\n \n # 1. Softcapping for stability\n softcap = 30.0\n capped_logits = softcap * torch.tanh(flat_logits / softcap)\n \n # 2. Label smoothing with focal loss\n eps = 0.05 # smoothing factor\n gamma = 0.75 # focal focusing parameter\n V = capped_logits.size(-1) # vocab size\n \n log_probs = F.log_softmax(capped_logits, dim=-1)\n probs = log_probs.exp()\n \n # Smoothed target distribution\n smooth_targets = torch.full_like(log_probs, eps / (V - 1))\n target_indices = flat_targets.clamp(min=0)\n smooth_targets.scatter_(1, target_indices.unsqueeze(1), 1.0 - eps)\n \n # Focal weighting: use smoothed probability of correct class\n smooth_probs = (smooth_targets * probs).sum(dim=-1) # p_smooth for each token\n \n # Focal loss with smoothing: -sum_t q(t) * (1-p(t))^gamma * log p(t)\n focal_weight = (1.0 - probs.clamp(min=1e-7, max=1.0 - 1e-7)) ** gamma\n \n # Weighted negative log likelihood with smoothed targets\n per_token_loss = -(smooth_targets * focal_weight * log_probs).sum(dim=-1)\n \n focal_loss = (per_token_loss * mask.float()).sum() / n_valid\n \n # 3. Z-loss for stability\n log_z = torch.logsumexp(capped_logits, dim=-1)\n z_loss = ((log_z ** 2) * mask.float()).sum() / n_valid\n \n return focal_loss + 1e-4 * z_loss",
3 "end_line": 235,
4 "filename": "nanoGPT/custom_pretrain.py",
5 "start_line": 188,
6 "op": "replace"
7}Tool ResultStep 9
OK: Replaced lines 188..235 with 54 line(s) in nanoGPT/custom_pretrain.py. Editable range: 188–243, 299–301.
[Current file: nanoGPT/custom_pretrain.py | editable: 188–243, 299–301 | total: 491 lines]
188 def compute_loss(logits, targets):
189 """Focal-softcap cross-entropy with label smoothing and z-loss.
190
... (50 more lines) ...
241 return focal_loss + 1e-4 * z_loss
242
243
...
299 # CONFIG_OVERRIDES: override training hyperparameters for your method.
300 # Allowed keys: learning_rate, weight_decay, warmup_iters, min_lr, grad_clip.
301 CONFIG_OVERRIDES = {}