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CUDA Academy · Lesson

Numerical Stability Tradeoffs

Where lower precision needs care.

Speed Has a Cost

Lower-precision Tensor Core math is fast, but fewer bits mean rounding errors. Numerical stability is the art of keeping results trustworthy. ⚖️

What Rounding Error Is

Each low-precision value is rounded to the nearest representable number. That tiny rounding error is harmless once but can pile up over many steps.

All lessons in this course

  1. What Tensor Cores Compute
  2. Mixed Precision: FP16, BF16, TF32
  3. The WMMA Fragment API
  4. Numerical Stability Tradeoffs
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