.. _auto_curve_hill_climbing:

*FIND OPTIMUM VALUE FROM THE CURVE*
===================================

Applies a hill-climbing search algorithm to a curve to find its optimal (minimum or maximum) Y value within a specified X range. Use this worker when you need to locate an extremum on a noisy or complex curve without requiring gradient information.

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

Classification: **process**.

Tagged: ``curve``, ``extremum``, ``hill_climbing``, ``maximum``, ``minimum``, ``optimization``, ``search``.

Inputs
------

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

   * - Label
     - ID
     - Type
     - Default
     - Required
     - Description
   * - Curve
     - curve
     - vector
     - —
     - 
     - Input curve (X/Y vector) on which the hill-climbing search is performed; must be provided as a d3VIEW curve object.
   * - Curve
     - objective
     - list
     - minimize
     - 
     - Optimization direction: choose 'minimize' to find the lowest Y value or 'maximize' to find the highest; defaults to 'minimize'.
   * - Min Time Window
     - start_x
     - scalar
     - 0.0
     - 
     - Left boundary of the X search window; set to 0.0 to start from the beginning of the curve (same units as the curve's X axis).
   * - Max Time Window
     - end_x
     - scalar
     - 0.0
     - 
     - Right boundary of the X search window; set to 0.0 to search through the end of the curve (same units as the curve's X axis).
   * - Step Size For X
     - step_sizefor_x
     - scalar
     - 0.0001
     - 
     - Increment by which X is advanced at each hill-climbing step; smaller values increase precision but raise iteration cost (default 0.0001, same units as the curve's X axis).
   * - Number Of Iterations
     - numberof_iterations
     - scalar
     - 100
     - 
     - Maximum number of hill-climbing iterations to perform before stopping; increase beyond the default of 100 for wider or finer search windows.

Outputs
-------

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

   * - Label
     - ID
     - Type
     - Description
   * - curve_hill_climbing_output_1
     - curve_hill_climbing_output_1
     - scalar
     - Scalar X-axis value at which the optimal (minimum or maximum) Y value was found on the input curve.

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

- data.curve.transform
- 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_hill_climbing <https://www.d3view.com/api/workflow/example?id=curve_hill_climbing>`_

.. raw:: html

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   Auto-generated from <code>transformation</code> schema. Worker id: <code>curve_hill_climbing</code>. Schema hash: <code>e1e4b27c5243</code>. Hand-curated docs in <code>workerexamples/</code> override this page when present.
   </p>