Agent Conversation: claude-opus-4.6

Model: claude-opus-4.6
Total steps: 5
Messages: 13
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)
  • Model sizes: GPT-2 124M (12L/12H/768D) and GPT-2 1.5B (48L/25H/1600D, 4-GPU DDP)
  • Dataset: FineWeb 10B (GPT-2 tokenizer)
  • Training: 5000 iterations, batch_size=12, block_size=1024, grad_accum=5

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.dropout)
    40:         self.resid_dropout = nn.Dropout(config.dropout)
    41:         self.n_head = config.n_head
   
AssistantStep 1edit
Tool Input
1{
2  "op": "replace",
3  "filename": "nanoGPT/custom_pretrain.py",
4  "start_line": 188,
5  "end_line": 191,
6  "content": "def compute_loss(logits, targets):\n    \"\"\"Enhanced cross-entropy with PolyLoss-1 correction and z-loss.\n\n    Novel combination for LLM pretraining:\n    - Label smoothing (0.05): distributional regularization\n    - PolyLoss-1 (eps=1): amplifies gradients for partially-learned tokens\n      by adding eps*(1-p_target), modifying gradient to (p_t-1)*(1+eps*p_t)\n    - Z-loss (1e-4): stabilizes the log-partition function\n    Standard CE during evaluation for fair comparison.\n    \"\"\"\n    flat_logits = logits.view(-1, logits.size(-1))\n    flat_targets = targets.view(-1)\n    if not torch.is_grad_enabled():\n        return F.cross_entropy(flat_logits, flat_targets, ignore_index=-1)\n    # Label-smoothed cross-entropy\n    ce = F.cross_entropy(flat_logits, flat_targets, ignore_index=-1, label_smoothing=0.05)\n    # PolyLoss-1: eps*(1 - p_target) for enhanced gradient signal\n    logits_f = flat_logits.float()\n    log_z = torch.logsumexp(logits_f, dim=-1)\n    tgt_logit = logits_f.gather(1, flat_targets.unsqueeze(1)).squeeze(1)\n    pt = (tgt_logit - log_z).exp()\n    poly = (1.0 - pt).mean()\n    # Z-loss: penalize large log-partition values for stability\n    z_loss = 1e-4 * (log_z ** 2).mean()\n    return ce + poly + z_loss\n\n"
7}
Tool ResultStep 1
OK: Replaced lines 188..191 with 26 line(s) in nanoGPT/custom_pretrain.py. Editable range: 188–213, 269–271.

[Current file: nanoGPT/custom_pretrain.py | editable: 188–213 | total: 461 lines]
   185|         return optimizer
   186| 
   187| # ── Loss Computation ───────────────────────────────────────────────────────
   188  def compute_loss(logits, targets):
   189      """Enhanced cross-entropy with PolyLoss-1 correction and z-loss.
   190  
   191      Novel combination for LLM pretraining:
   192      - Label smoothing (0.05): distributional regularization
   193      - PolyLoss-1 (eps=1): amplifies gradients for partially-learned tokens
   194        by adding eps*(1-p_target), modifying gradient to (p_t-1)*(1+eps*p_t)
   195      - Z-loss (1e-4): stabilizes the log-partition function
   196      Standard CE during evaluation for fair comparison.
   197      """
   198      flat_logits = logits.view(-1, logits.size(-1))
   199      flat_targets = targets.view(-1)
   200      if n
AssistantStep 2test
Tool ResultStep 2
[Test #1] (2 tests remaining; call submit(n=1) to submit this result)

### gpt-345m (scripts/gpt_345m.sh)
Training metrics (last steps):
TRAIN_METRICS: step=9000, train_loss=2.6867, val_loss=2.4113
TRAIN_METRICS: step=10000, train_loss=2.6657, val_loss=2.3838
TRAIN_METRICS: step=11000, train_loss=2.6474, val_loss=2.3741
TRAIN_METRICS: step=12000, train_loss=2.6269, val_loss=2.3552
TRAIN_METRICS: step=13000, train_loss=2.6121, val_loss=2.3455
Final metrics (gpt-345m): val_loss_gpt-345m=2.3383, wikitext2_ppl_gpt-345m=47.9100, lambada_ppl_gpt-345m=72.3000

### lm-eval-345m (scripts/lm_eval_345m.sh)
Final metrics (lm-eval-345m): arc_easy_lm-eval-345m=53.2000, hellaswag_lm-eval-345m=33.2000, piqa_lm-eval-345m=63.8200, winogrande_lm-eval-345m=50.9100

[Leaderboard] Results saved: {'val_loss_gpt-345m': 2.3383, 'wikitext2_ppl_gpt-345m': 47.91, 'lambada_ppl_gpt-345m': 72.3, 'elapsed_gpt-345m': 20878, 'arc_easy_lm-eval-345m': 53.2, 'hellaswag_lm-eval-345m': 33.2, 'piqa_lm-eval-345m': 63.82, 'win
AssistantStep 3edit
Tool Input
1{
2  "op": "replace",
3  "filename": "nanoGPT/custom_pretrain.py",
4  "start_line": 188,
5  "end_line": 213,
6  "content": "def compute_loss(logits, targets):\n    \"\"\"Multi-regularized cross-entropy: tanh softcap + label smoothing + z-loss.\n\n    Novel combination addressing three distinct failure modes in LLM pretraining:\n    1. Tanh softcap (cap=30) bounds logit magnitudes, preventing gradient\n       instability from extreme logit values (inspired by Gemma 2)\n    2. Label smoothing (eps=0.1) redistributes probability mass, preventing\n       overconfident predictions and improving generalization\n    3. Z-loss (1e-4) penalizes large log-partition values, stabilizing the\n       log-softmax computation (inspired by PaLM)\n    Standard CE used during evaluation for fair comparison.\n    \"\"\"\n    flat_logits = logits.view(-1, logits.size(-1))\n    flat_targets = targets.view(-1)\n    if not torch.is_grad_enabled():\n        return F.cross_entropy(flat_logits, flat_targets, ignore_index=-1)\n    # Tanh-based logit softcapping: bounds to [-cap, cap]\n    cap = 30.0\n    capped = cap * torch.tanh(flat_logits.float() / cap)\n    # Cross-entropy with label smoothing\n    ce = F.cross_entropy(capped, flat_targets, ignore_index=-1, label_smoothing=0.1)\n    # Z-loss: penalize large log-partition values for stability\n    log_z = torch.logsumexp(capped, dim=-1)\n    z_loss = 1e-4 * (log_z ** 2).mean()\n    return ce + z_loss\n\n"
7}
Tool ResultStep 3
OK: Replaced lines 188..213 with 26 line(s) in nanoGPT/custom_pretrain.py. Editable range: 188–213, 269–271.

[Current file: nanoGPT/custom_pretrain.py | editable: 188–213 | total: 461 lines]
   185|         return optimizer
   186| 
   187| # ── Loss Computation ───────────────────────────────────────────────────────
   188  def compute_loss(logits, targets):
   189      """Multi-regularized cross-entropy: tanh softcap + label smoothing + z-loss.
   190  
   191      Novel combination addressing three distinct failure modes in LLM pretraining:
   192      1. Tanh softcap (cap=30) bounds logit magnitudes, preventing gradient
   193         instability from extreme logit values (inspired by Gemma 2)
   194      2. Label smoothing (eps=0.1) redistributes probability mass, preventing
   195         overconfident predictions and improving generalization
   196      3. Z-loss (1e-4) penalizes large log-partition values, stabilizing the
   197         log-softmax computation (inspired by PaL
AssistantStep 4test
AssistantStep 4test
Tool ResultStep 4
[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=2.6901, val_loss=2.4178
TRAIN_METRICS: step=10000, train_loss=2.6663, val_loss=2.3872
TRAIN_METRICS: step=11000, train_loss=2.6485, val_loss=2.3777
TRAIN_METRICS: step=12000, train_loss=2.6282, val_loss=2.3590
TRAIN_METRICS: step=13000, train_loss=2.6119, val_loss=2.3483
Final metrics (gpt-345m): val_loss_gpt-345m=2.3403, wikitext2_ppl_gpt-345m=47.5100, lambada_ppl_gpt-345m=73.7600

### lm-eval-345m (scripts/lm_eval_345m.sh)
Final metrics (lm-eval-345m): arc_easy_lm-eval-345m=53.2800, hellaswag_lm-eval-345m=32.7800, piqa_lm-eval-345m=63.6600, winogrande_lm-eval-345m=49.8000

[Leaderboard] Results saved: {'val_loss_gpt-345m': 2.3403, 'wikitext2_ppl_gpt-345m': 47.51, 'lambada_ppl_gpt-345m': 73.76, 'elapsed_gpt-345m': 20436, 'arc_easy_lm-eval-345m': 53.28, 'hellaswag_lm-eval-345m': 32.78, 'piqa
AssistantStep 5submit
Tool Input
1{
2  "n": 1
3}
Tool ResultStep 5
[submit] Submitting result from test #1 as final.

### gpt-345m (scripts/gpt_345m.sh)
Training metrics (last steps):
TRAIN_METRICS: step=9000, train_loss=2.6867, val_loss=2.4113
TRAIN_METRICS: step=10000, train_loss=2.6657, val_loss=2.3838
TRAIN_METRICS: step=11000, train_loss=2.6474, val_loss=2.3741
TRAIN_METRICS: step=12000, train_loss=2.6269, val_loss=2.3552
TRAIN_METRICS: step=13000, train_loss=2.6121, val_loss=2.3455
Final metrics (gpt-345m): val_loss_gpt-345m=2.3383, wikitext2_ppl_gpt-345m=47.9100, lambada_ppl_gpt-345m=72.3000

### lm-eval-345m (scripts/lm_eval_345m.sh)
Final metrics (lm-eval-345m): arc_easy_lm-eval-345m=53.2000, hellaswag_lm-eval-345m=33.2000, piqa_lm-eval-345m=63.8200, winogrande_lm-eval-345m=50.9100

[submit] Finalized test #1 as final.

[Leaderboard] Results saved: {'val_loss_gpt-345m': 2.3383, 'wikitext2_ppl_gpt-345m': 47.91, 'lambada_ppl_gpt-345m': 72.3, 'elapsed_gpt-345m': 20878, 'arc_easy_lm-eval-345m': 53.2, 'hellaswag_lm-eval-345m': 33.2, 'piqa_lm-eval-