.. _auto_curves_r2:

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

Computes the Mean Squared Error (MSE) between two curves by resampling both onto a common grid before comparison. Use this worker to quantify the pointwise deviation between a candidate curve and a reference curve, e.g. for simulation-vs-test correlation or curve-fitting quality checks.

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

Classification: **process**.

Tagged: ``correlation``, ``curve_comparison``, ``digitize``, ``mean_square_error``, ``mse``, ``r2``, ``resampling``.

Inputs
------

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

   * - Label
     - ID
     - Type
     - Default
     - Required
     - Description
   * - Curve 1
     - curve1
     - vector
     - —
     - 
     - Candidate curve (X-Y vector) whose deviation from Curve 2 is being measured; accepts multiple curves in batch mode.
   * - Curve 2
     - curve2
     - vector
     - —
     - 
     - Reference curve (X-Y vector) against which Curve 1 is compared; both curves will be resampled onto the same grid before MSE is calculated.
   * - Digitize Points
     - numberofpointstodigitize
     - integer
     - 100
     - 
     - Number of evenly-spaced points used to resample both curves onto a common grid before computing MSE; default is 100 — increase for higher-resolution curves or decrease for speed.

Outputs
-------

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

   * - Label
     - ID
     - Type
     - Description
   * - curves_r2_output_1
     - curves_r2_output_1
     - scalar
     - Scalar MSE value representing the mean of the squared pointwise differences between Curve 1 and Curve 2 on the resampled grid (dimensionless ratio of the curve's Y-unit squared).

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_r2 <https://www.d3view.com/api/workflow/example?id=curves_r2>`_

.. raw:: html

   <hr style="margin-top:2em">
   <p style="font-size:11px;color:#888">
   Auto-generated from <code>transformation</code> schema. Worker id: <code>curves_r2</code>. Schema hash: <code>02ec7b705af7</code>. Hand-curated docs in <code>workerexamples/</code> override this page when present.
   </p>