.. _auto_curve_get_tricube_weight_curve:

*COMPUTE LOESS TRI-CUBE WEIGHT CURVE*
=====================================

Generates the LOESS tri-cube weight function curve, which maps distances in [0, 1] to weights using the (1 − |d|³)³ kernel. Use this worker whenever a locally-weighted regression (LOESS/LOWESS) pipeline needs the tri-cube weighting curve as an explicit curve object for downstream smoothing or visualisation steps.

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

Classification: **process**.

Tagged: ``curve_factory``, ``kernel``, ``loess``, ``lowess``, ``smoothing``, ``tricube``, ``weight_curve``.

Inputs
------

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

   * - Label
     - ID
     - Type
     - Default
     - Required
     - Description
   * - Curve Name
     - curve_name
     - scalar
     - Tri-cube Weight Curve
     - 
     - Display name assigned to the generated tri-cube weight curve object; defaults to 'Tri-cube Weight Curve' and can be left at the default unless a custom label is required by downstream workers.
   * - Curve Name
     - curve_name
     - scalar
     - Tri-cube Weight Curve
     - 
     - Display name assigned to the generated tri-cube weight curve object; defaults to 'Tri-cube Weight Curve' and can be left at the default unless a custom label is required by downstream workers.

Outputs
-------

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

   * - Label
     - ID
     - Type
     - Description
   * - Tri-cube Weight Curve
     - curve_tricube
     - vector
     - The tri-cube weight curve vector (dimensionless x in [0, 1], weight y in [0, 1]) representing the (1 − /x/³)³ LOESS kernel, ready for use in locally-weighted regression or smoothing workflows.

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

- data.curve.transform
- data.signal_processing

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

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

.. raw:: html

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   Auto-generated from <code>transformation</code> schema. Worker id: <code>curve_get_tricube_weight_curve</code>. Schema hash: <code>c9ecbfd9f46c</code>. Hand-curated docs in <code>workerexamples/</code> override this page when present.
   </p>