:orphan:

Inverse Problems
================

These examples fit bounded parameters to measured or synthetic observations.
They progress from a small analytic model to a unit-aware PyMieSim scattering
calculation. The optimizer is deterministic, derivative-free, and intended for
a small number of parameters.

Fits using isolated-particle scattering inherit the non-interacting
approximation of their forward model. Refer to PackLab when particle
correlations or dependent scattering need to be represented.


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  <div id='sg-tag-list' class='sphx-glr-tag-list'></div>


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    <div class="sphx-glr-thumbnails">

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    <div class="sphx-glr-thumbcontainer" tooltip="Fit one bounded parameter to a small analytic forward model. This is the smallest complete inverse-problem setup: a callable, an observation, and one or more FitParameter objects.">

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  .. image:: /gallery/inverse/images/thumb/sphx_glr_fit_linear_scale_thumb.png
    :alt:

  :doc:`/gallery/inverse/fit_linear_scale`

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      <div class="sphx-glr-thumbnail-title">Fit a scalar scale factor</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="Recover a sphere diameter from one dimensionless scattering-efficiency measurement. This uses the isolated-particle Mie model. It does not represent multiple scattering, near-field coupling, or positional correlations in dense particle systems.">

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  .. image:: /gallery/inverse/images/thumb/sphx_glr_fit_sphere_scattering_thumb.png
    :alt:

  :doc:`/gallery/inverse/fit_sphere_scattering`

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      <div class="sphx-glr-thumbnail-title">Fit an isolated-sphere scattering measurement</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="Parameters can carry Pint units. The model receives values with the original units, so the physics code does not need to know how the optimizer stores its internal scalar coordinates.">

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  .. image:: /gallery/inverse/images/thumb/sphx_glr_fit_unit_aware_diameter_thumb.png
    :alt:

  :doc:`/gallery/inverse/fit_unit_aware_diameter`

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      <div class="sphx-glr-thumbnail-title">Fit a unit-aware diameter</div>
    </div>


.. thumbnail-parent-div-close

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    </div>


.. toctree::
   :hidden:

   /gallery/inverse/fit_linear_scale
   /gallery/inverse/fit_sphere_scattering
   /gallery/inverse/fit_unit_aware_diameter



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 .. rst-class:: sphx-glr-signature

    `Gallery generated by Sphinx-Gallery <https://sphinx-gallery.github.io>`_