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https://github.com/numericalalgorithmsgroup/dfols

Python-based Derivative-Free Optimizer for Least-Squares
https://github.com/numericalalgorithmsgroup/dfols

least-squares nonlinear-optimization numerical-analysis numerical-methods numerical-optimization optimization optimization-algorithms python scientific-computing

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Python-based Derivative-Free Optimizer for Least-Squares

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DFO-LS: Derivative-Free Optimizer for Least-Squares
===================================================

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DFO-LS is a flexible package for solving nonlinear least-squares minimization, without requiring derivatives of the objective. It is particularly useful when evaluations of the objective function are expensive and/or noisy. DFO-LS is more flexible version of `DFO-GN `_.

The main algorithm is described in our paper [1] below.

If you are interested in solving general optimization problems (without a least-squares structure), you may wish to try `Py-BOBYQA `_, which has many of the same features as DFO-LS.

Documentation
-------------
See manual.pdf or `here `_.

Citation
--------
The development of DFO-LS is outlined over several publications:

1. C Cartis, J Fiala, B Marteau and L Roberts, `Improving the Flexibility and Robustness of Model-Based Derivative-Free Optimization Solvers `_, *ACM Transactions on Mathematical Software*, 45:3 (2019), pp. 32:1-32:41 [`preprint arXiv 1804.00154 `_] .
2. M Hough and L Roberts, `Model-Based Derivative-Free Methods for Convex-Constrained Optimization `_, *SIAM Journal on Optimization*, 21:4 (2022), pp. 2552-2579 [`preprint arXiv 2111.05443 `_].
3. Y Liu, K H Lam and L Roberts, `Regularized black-box optimization algorithms for least-squares problems `_, *IMA Journal of Numerical Analysis*, 2025 [`preprint arXiv 2407.14915 `_].

If you use DFO-LS in a paper, please cite [1].
If your problem has constraints, including bound constraints, please cite [1,2].
If your problem includes a regularizer, please cite [1,3].

Requirements
------------
DFO-LS requires the following software to be installed:

* Python 3.9 or higher (http://www.python.org/)

Additionally, the following python packages should be installed (these will be installed automatically if using *pip*, see `Installation using pip`_):

* NumPy (http://www.numpy.org/)
* SciPy version 1.11 or higher (http://www.scipy.org/)
* Pandas (http://pandas.pydata.org/)

**Optional package:** DFO-LS versions 1.2 and higher also support the `trustregion `_ package for fast trust-region subproblem solutions. To install this, make sure you have a Fortran compiler (e.g. `gfortran `_) and NumPy installed, then run :code:`pip install trustregion`. You do not have to have trustregion installed for DFO-LS to work, and it is not installed by default.

Installation using conda
------------------------
DFO-LS can be directly installed in Anaconda environments using `conda-forge `_:

.. code-block:: bash

$ conda install -c conda-forge dfo-ls

Installation using pip
----------------------
For easy installation, use `pip `_ as root:

.. code-block:: bash

$ pip install DFO-LS

Note that if an older install of DFO-LS is present on your system you can use:

.. code-block:: bash

$ pip install --upgrade DFO-LS

to upgrade DFO-LS to the latest version.

Manual installation
-------------------
Alternatively, you can download the source code from `Github `_ and unpack as follows:

.. code-block:: bash

$ git clone https://github.com/numericalalgorithmsgroup/dfols
$ cd dfols

DFO-LS is written in pure Python and requires no compilation. It can be installed using:

.. code-block:: bash

$ pip install .

To upgrade DFO-LS to the latest version, navigate to the top-level directory (i.e. the one containing :code:`pyproject.toml`) and rerun the installation using :code:`pip`, as above:

.. code-block:: bash

$ git pull
$ pip install .

Testing
-------
If you installed DFO-LS manually, you can test your installation using the pytest package:

.. code-block:: bash

$ pip install pytest
$ python -m pytest --pyargs dfols

Alternatively, the HTML documentation provides some simple examples of how to run DFO-LS.

Examples
--------
Examples of how to run DFO-LS are given in the `documentation `_, and the `examples `_ directory in Github.

Uninstallation
--------------
If DFO-LS was installed using *pip* you can uninstall as follows:

.. code-block:: bash

$ pip uninstall DFO-LS

If DFO-LS was installed manually you have to remove the installed files by hand (located in your python site-packages directory).

Bugs
----
Please report any bugs using `GitHub's issue tracker `_.

License
-------
This algorithm is released under the GNU GPL license. Please `contact NAG `_ for alternative licensing.