.. _auto_curve_compute_pareto_front_optimal:

*COMPUTE PARETO FRONT OPTIMAL FOR A TWO-DIMENSIONAL POINT*
==========================================================

Computes the Pareto-optimal front for a two-dimensional curve (set of (x, y) points), returning only the non-dominated points. Use this worker when you need to identify trade-off-optimal solutions in a two-objective design space.

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

Classification: **process**.

Tagged: ``2d_points``, ``curve``, ``multi_objective``, ``non_dominated``, ``optimization``, ``pareto``, ``pareto_front``.

Inputs
------

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

   * - Label
     - ID
     - Type
     - Default
     - Required
     - Description
   * - Select The Curve
     - curve
     - vector
     - —
     - 
     - 2-D input curve (vector of (x, y) point pairs) representing the candidate solution set from which the Pareto-optimal front will be extracted; must contain at least two columns.
   * - Sort X Values
     - sort_x_values
     - text
     - asc
     - 
     - Sort order for the x-axis values of the resulting Pareto front — 'asc' (ascending, default) or 'desc' (descending); controls the ordering of the returned non-dominated points.

Outputs
-------

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

   * - Label
     - ID
     - Type
     - Description
   * - curve_compute_pareto_front_optimal_output_1
     - curve_compute_pareto_front_optimal_output_1
     - keyvalue
     - Key-value result containing the Pareto-optimal (non-dominated) points extracted from the input curve, with x and y coordinates of each front point.

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

- data.curve.transform
- data.statistics
- design_exploration.optimization

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

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

.. raw:: html

   <hr style="margin-top:2em">
   <p style="font-size:11px;color:#888">
   Auto-generated from <code>transformation</code> schema. Worker id: <code>curve_compute_pareto_front_optimal</code>. Schema hash: <code>0c3513cddc7a</code>. Hand-curated docs in <code>workerexamples/</code> override this page when present.
   </p>