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NaN Loss During Training

NaN loss corrupts training state. Denpex traces NaN propagation to the originating layer.

Quick answer

NaN loss corrupts training state.

Training Stability#nan#loss#numerical-stability#precision#mixed-precision#training

What this failure is

NaN Loss During Training is a Training Stability failure seen during ML training runs. NaN loss corrupts training state. Denpex traces NaN propagation to the originating layer. Common tags: Nan, Loss, Numerical Stability, Precision.

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Why it happens (the mechanism)

Numerical underflow in softmax. Division by zero in attention. Log of zero in log-probability. AMP gradient scaler overflow. Taken together, these mechanisms explain why the failure is reproducible, why it tends to surface on specific workloads or scales, and why generic mitigation attempts often fall short without addressing the underlying cause.

What you'll observe

  • Loss becomes NaN after training steps
  • All subsequent gradients become NaN
  • Run is unrecoverable without checkpoint restore

Common symptoms and what they mean

SymptomWhy it happens
loss: nan in training logsNumerical underflow in softmax
torch.autograd detects NaNDivision by zero in attention
Model outputs become NaNLog of zero in log-probability

Which systems are affected

  • Large language models
  • Mixed-precision training
  • Models with softmax or log_softmax

How to confirm this is the problem

Use this checklist to test the hypothesis against a small reproduction. No single line proves the root cause, so preserve the preceding events and compare one variable at a time.

  • Reproduce the failure from a clean checkpoint/seed: the symptom must appear without warm-up state from a previous run.
  • Verified signal present: loss: nan in training logs
  • Verified signal present: torch.autograd detects NaN
  • Verified signal present: Model outputs become NaN
  • A targeted fix from the "How to fix it" section eliminates or substantially reduces the symptom within one validation pass.

The fix and the prevention pattern

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Root cause

  • Numerical underflow in softmax
  • Division by zero in attention
  • Log of zero in log-probability
  • AMP gradient scaler overflow

The fix and how to prevent it

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Don't just read the fix, diagnose your run

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