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THE FEUTEX TOOLKIT

Gaussian Wasserstein Distance

Measure the transport distance between two one-dimensional Gaussian models.

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01 Your input
02 Your result
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FormulaDistance = hypot(m1-m2,s1-s2); Squared Distance = (m1-m2)**2+(s1-s2)**2
Sources and model references

Made for real tasks

  • Measure the transport distance between two one-dimensional Gaussian models.
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Worked example

Inputs

First mean
0 number
First standard deviation
1 number
Second mean
3 number
Second standard deviation
2 number

Expected results

Distance
3.16227766 data units
Squared Distance
10 data units²

Load the example in the workspace to reproduce these results. Display rounding does not change the underlying calculation.

How to use this tool

  1. Enter first mean, first standard deviation, second mean, second standard deviation.
  2. Use the displayed units and confirm the model assumptions.
  3. Calculate and compare the outputs against your input scenario.

Try this example

{
  "m1": 0,
  "s1": 1,
  "m2": 3,
  "s2": 2
}

Accuracy and scope

Closed form for one-dimensional Gaussian distributions under quadratic transport cost; not an empirical-data Wasserstein calculation.

Is my data uploaded?

This tool runs locally in your browser. Input and output are not sent to a processing server. Copy or download your result before leaving the page.