.. _auto_curves_mse:

*COMPUTE THE MEAN SQUARE ERROR BETWEEN TWO CURVES*
==================================================

Computes the Mean Square Error (MSE) between two XY curves, optionally resampling both to a common grid and normalizing x-values before comparison. Use this worker to quantify the pointwise difference between a simulation curve and a reference curve.

When to use
-----------

Classification: **process**.

Tagged: ``curve_comparison``, ``digitize``, ``mean_square_error``, ``mse``, ``normalize``, ``similarity``.

Inputs
------

.. list-table::
   :header-rows: 1
   :widths: 20 20 20 20 20 20

   * - Label
     - ID
     - Type
     - Default
     - Required
     - Description
   * - Curve 1
     - curve1
     - vector
     - —
     - 
     - First input curve (the test/simulation curve) supplied as an XY vector; compared against curve2 to produce the MSE.
   * - Curve 2
     - curve2
     - vector
     - —
     - 
     - Second input curve (the reference curve) supplied as an XY vector; used as the baseline against which curve1 is evaluated.
   * - Digitize Points
     - numberofpointstodigitize
     - integer
     - 100
     - 
     - Number of uniformly spaced points to which both curves are resampled before computing MSE; default is 100. Increase for higher-resolution comparison, leave at default for most use cases.
   * - X-Value Type
     - normalize
     - string
     - yes
     - 
     - Whether to normalize the x-axis values before comparison ('yes' maps x to a common relative scale, 'no' uses raw x values); default is 'yes'. Set to 'no' when both curves already share the same physical x-axis units and range.

Outputs
-------

.. list-table::
   :header-rows: 1
   :widths: 20 20 20 20

   * - Label
     - ID
     - Type
     - Description
   * - curves_mse_output_1
     - curves_mse_output_1
     - scalar
     - Scalar MSE value representing the mean of squared pointwise differences between the two resampled curves; dimensionless if normalization is applied, otherwise in the squared units of the y-axis.

Disciplines
-----------

- data.correlation
- data.curve.pair
- data.statistics

Runnable example
----------------

A runnable example is registered for this worker. Open the example workflow on the d3VIEW canvas: `/api/workflow/example?id=curves_mse <https://www.d3view.com/api/workflow/example?id=curves_mse>`_

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   Auto-generated from <code>transformation</code> schema. Worker id: <code>curves_mse</code>. Schema hash: <code>e40f4d6a7d81</code>. Hand-curated docs in <code>workerexamples/</code> override this page when present.
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