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Openai·Machine Learning Engineer·Technical Phone Screen·Senior

Senior
May 2026

Summary

Interviewed for an ML Engineer role at OpenAI and got hit with a pretty deep question about numerical stability in mixed-precision training. Not a lot of hand-holding in the format, just one meaty technical problem to work through.

Questions Asked (1)

Q1

How would you handle numerical overflow when training with FP8 and BF16 in a mixed-precision setup?

Technical Trade-offsSystem Design
Author's notes

This tripped me up more than I expected.

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AI HintsAI Generated

Suggested Approach

Start by explaining the numerical range differences between FP8 and BF16, then discuss specific techniques like scaling factors, loss scaling, and mixed-precision strategies to prevent overflow. Emphasize a systematic approach: monitor, detect, and mitigate overflow through dynamic adjustments and careful kernel design.

Pro tip: Mention that overflow often manifests as NaN/Inf in gradients or activations, so instrumenting training with checks for these values and logging the max absolute values per layer can catch issues early. Also, note that FP8's limited range makes per-tensor scaling less effective than per-channel or per-group scaling, which is a key insight for large models.

1. Understand the numerical ranges

Compare the dynamic range and precision of FP8 (E4M3/E5M2) and BF16 to identify where overflow is likely to occur, especially in activations, gradients, and optimizer states.

2. Implement scaling strategies

Use loss scaling for gradients and per-tensor or per-channel scaling for FP8 tensors to shift values into representable ranges, adjusting scales dynamically based on observed maxima.

3. Monitor and detect overflow

Add runtime checks for Inf/NaN in forward and backward passes, and track max absolute values per layer to identify overflow hotspots.

4. Mitigate and adapt

Apply techniques like gradient clipping, skipping updates on overflow, or falling back to higher precision for problematic layers, and consider using stochastic rounding to reduce bias.

5. Validate and iterate

Test the mixed-precision setup on a small scale, measure impact on convergence and accuracy, and iteratively refine scaling factors and precision assignments.

Key Points to Mention

  • Loss scaling: multiply loss by a factor to prevent underflow in gradients, with dynamic adjustment based on overflow/underflow detection.
  • Per-channel or per-group scaling for FP8: more granular scaling reduces quantization error and overflow risk compared to per-tensor scaling.
  • Gradient clipping: cap gradient norms to prevent extreme values from causing overflow in FP8 or BF16.
  • Fallback to higher precision: selectively use FP16 or FP32 for layers or operations prone to overflow (e.g., softmax, layer norm).
  • Stochastic rounding: reduces bias in FP8 quantization and can help maintain accuracy under limited precision.
  • Hardware support: leverage NVIDIA Transformer Engine or similar libraries that automate scaling and overflow handling for FP8.

AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.