Quantization Error Calculator

Test quantization settings using custom tensors and ranges. Review errors, clipping, and signal quality instantly. Find efficient precision tradeoffs for leaner, faster inference pipelines.

Calculator Form

Large screens show three columns, smaller screens show two, and phones show one.

Example: -1.25, -0.92, -0.51, -0.10, 0, 0.14, 0.37, 0.79, 1.12, 1.46

Example Data Table

This sample shows typical activation values before quantization.

Sample Original Value Suggested Range Bit Depth Mode
1 -1.25 -1.50 to 1.50 8 Symmetric Signed
2 -0.92 -1.50 to 1.50 8 Symmetric Signed
3 0.14 -1.50 to 1.50 8 Symmetric Signed
4 0.79 -1.50 to 1.50 8 Symmetric Signed
5 1.46 -1.50 to 1.50 8 Symmetric Signed

Formula Used

1. Scale
Symmetric signed: scale = max(|real_min|, |real_max|) / q_max
Asymmetric: scale = (real_max - real_min) / (q_max - q_min)
2. Zero-Point
Symmetric signed usually fixes zero_point = 0.
Asymmetric uses zero_point = round(q_min - real_min / scale).
3. Quantization
scaled = x / scale + zero_point
q = clamp(round(scaled), q_min, q_max)
4. Dequantization
x_hat = (q - zero_point) × scale
5. Error Metrics
error = x - x_hat
MSE = average(error²)
RMSE = sqrt(MSE)
MAE = average(|error|)
SQNR = 10 × log10(sum(x²) / sum(error²))

How to Use This Calculator

  1. Enter a tensor name so results stay easy to identify.
  2. Choose the target bit depth for quantized storage.
  3. Select symmetric or asymmetric integer mapping.
  4. Pick a rounding rule that matches your deployment flow.
  5. Choose custom range values or derive them from samples.
  6. Paste sample values from activations or model weights.
  7. Press the calculate button to generate metrics and graphs.
  8. Download CSV or PDF if you need reports or audits.

FAQs

1) What does quantization error mean?

Quantization error is the difference between the original floating-point value and its reconstructed value after integer mapping and dequantization. It reflects precision loss introduced by compression.

2) Why is bit depth important?

Bit depth controls how many integer levels are available. Lower depths reduce memory and speed up inference, but they usually increase rounding error and clipping risk.

3) When should I use symmetric quantization?

Symmetric quantization works well when data is centered near zero, especially for weights. It keeps zero-point simple and often suits hardware pipelines that prefer zero-centered integers.

4) When is asymmetric quantization better?

Asymmetric quantization is useful when data is not centered around zero. It can preserve more usable resolution for skewed activation ranges by shifting the integer mapping.

5) What does clipping tell me?

Clipping means some values exceeded the representable quantized range. High clipping rates often indicate poor range selection and usually damage downstream model accuracy more than small rounding noise.

6) Which metric should I trust most?

Use several metrics together. MSE and RMSE punish large errors, MAE is intuitive, and SQNR shows signal preservation. The best choice depends on your deployment objective.

7) Can this help compare calibration strategies?

Yes. Run the same tensor under different ranges, modes, and bit depths. Then compare clip rate, SQNR, and reconstruction error to judge calibration quality.

8) Does lower error guarantee better model accuracy?

Not always. Lower tensor error often helps, but final model accuracy also depends on layer sensitivity, calibration data quality, operator support, and accumulation behavior.

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Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.