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README.rst

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More details about Py-BOBYQA and its enhancements over BOBYQA can be found in our papers:
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1. Coralia Cartis, Jan Fiala, Benjamina Marteau and Lindon Roberts, `Improving the Flexibility and Robustness of Model-Based Derivative-Free Optimization Solvers <https://doi.org/10.1145/3338517>`_, *ACM Transactions on Mathematical Software*, 45:3 (2019), pp. 32:1-32:41 [`preprint <https://arxiv.org/abs/1804.00154>`_]
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1. Coralia Cartis, Jan Fiala, Benjamin Marteau and Lindon Roberts, `Improving the Flexibility and Robustness of Model-Based Derivative-Free Optimization Solvers <https://doi.org/10.1145/3338517>`_, *ACM Transactions on Mathematical Software*, 45:3 (2019), pp. 32:1-32:41 [`preprint <https://arxiv.org/abs/1804.00154>`_]
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2. Coralia Cartis, Lindon Roberts and Oliver Sheridan-Methven, `Escaping local minima with derivative-free methods: a numerical investigation <https://doi.org/10.1080/02331934.2021.1883015>`_, *Optimization* (2021). [`preprint <https://arxiv.org/abs/1812.11343>`_]
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Please cite [1] when using Py-BOBYQA for local optimization, and [1,2] when using Py-BOBYQA's global optimization heuristic functionality. For reproducibility of all figures, please feel free to contact the authors.

docs/advanced.rst

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----------
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.. [CFMR2018]
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Coralia Cartis, Jan Fiala, Benjamina Marteau and Lindon Roberts, `Improving the Flexibility and Robustness of Model-Based Derivative-Free Optimization Solvers <https://doi.org/10.1145/3338517>`_, *ACM Transactions on Mathematical Software*, 45:3 (2019), pp. 32:1-32:41 [`preprint <https://arxiv.org/abs/1804.00154>`_]
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Coralia Cartis, Jan Fiala, Benjamin Marteau and Lindon Roberts, `Improving the Flexibility and Robustness of Model-Based Derivative-Free Optimization Solvers <https://doi.org/10.1145/3338517>`_, *ACM Transactions on Mathematical Software*, 45:3 (2019), pp. 32:1-32:41 [`preprint <https://arxiv.org/abs/1804.00154>`_]
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docs/build/html/_sources/advanced.rst.txt

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Coralia Cartis, Jan Fiala, Benjamina Marteau and Lindon Roberts, `Improving the Flexibility and Robustness of Model-Based Derivative-Free Optimization Solvers <https://doi.org/10.1145/3338517>`_, *ACM Transactions on Mathematical Software*, 45:3 (2019), pp. 32:1-32:41 [`preprint <https://arxiv.org/abs/1804.00154>`_]
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Coralia Cartis, Jan Fiala, Benjamin Marteau and Lindon Roberts, `Improving the Flexibility and Robustness of Model-Based Derivative-Free Optimization Solvers <https://doi.org/10.1145/3338517>`_, *ACM Transactions on Mathematical Software*, 45:3 (2019), pp. 32:1-32:41 [`preprint <https://arxiv.org/abs/1804.00154>`_]
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docs/build/html/_sources/index.rst.txt

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Full details of the Py-BOBYQA algorithm are given in our papers:
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1. Coralia Cartis, Jan Fiala, Benjamina Marteau and Lindon Roberts, `Improving the Flexibility and Robustness of Model-Based Derivative-Free Optimization Solvers <https://doi.org/10.1145/3338517>`_, *ACM Transactions on Mathematical Software*, 45:3 (2019), pp. 32:1-32:41 [`preprint <https://arxiv.org/abs/1804.00154>`_]
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1. Coralia Cartis, Jan Fiala, Benjamin Marteau and Lindon Roberts, `Improving the Flexibility and Robustness of Model-Based Derivative-Free Optimization Solvers <https://doi.org/10.1145/3338517>`_, *ACM Transactions on Mathematical Software*, 45:3 (2019), pp. 32:1-32:41 [`preprint <https://arxiv.org/abs/1804.00154>`_]
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2. Coralia Cartis, Lindon Roberts and Oliver Sheridan-Methven, `Escaping local minima with derivative-free methods: a numerical investigation <https://doi.org/10.1080/02331934.2021.1883015>`_, *Optimization* (2021). [`preprint <https://arxiv.org/abs/1812.11343>`_]
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Please cite [1] when using Py-BOBYQA for local optimization, and [1,2] when using Py-BOBYQA's global optimization heuristic functionality **(new in v1.1!)**.

docs/build/html/_sources/info.rst.txt

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.. [CFMR2018]
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Coralia Cartis, Jan Fiala, Benjamina Marteau and Lindon Roberts, `Improving the Flexibility and Robustness of Model-Based Derivative-Free Optimization Solvers <https://doi.org/10.1145/3338517>`_, *ACM Transactions on Mathematical Software*, 45:3 (2019), pp. 32:1-32:41 [`preprint <https://arxiv.org/abs/1804.00154>`_]
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Coralia Cartis, Jan Fiala, Benjamin Marteau and Lindon Roberts, `Improving the Flexibility and Robustness of Model-Based Derivative-Free Optimization Solvers <https://doi.org/10.1145/3338517>`_, *ACM Transactions on Mathematical Software*, 45:3 (2019), pp. 32:1-32:41 [`preprint <https://arxiv.org/abs/1804.00154>`_]
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.. [Powell2009]
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Michael J. D. Powell, `The BOBYQA algorithm for bound constrained optimization without derivatives <http://www.damtp.cam.ac.uk/user/na/NA_papers/NA2009_06.pdf>`_, technical report DAMTP 2009/NA06, University of Cambridge, (2009).

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.. [CFMR2018]
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Coralia Cartis, Jan Fiala, Benjamina Marteau and Lindon Roberts, `Improving the Flexibility and Robustness of Model-Based Derivative-Free Optimization Solvers <https://doi.org/10.1145/3338517>`_, *ACM Transactions on Mathematical Software*, 45:3 (2019), pp. 32:1-32:41 [`preprint <https://arxiv.org/abs/1804.00154>`_]
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Coralia Cartis, Jan Fiala, Benjamin Marteau and Lindon Roberts, `Improving the Flexibility and Robustness of Model-Based Derivative-Free Optimization Solvers <https://doi.org/10.1145/3338517>`_, *ACM Transactions on Mathematical Software*, 45:3 (2019), pp. 32:1-32:41 [`preprint <https://arxiv.org/abs/1804.00154>`_]
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.. [CRO2018]
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Coralia Cartis, Lindon Roberts and Oliver Sheridan-Methven, `Escaping local minima with derivative-free methods: a numerical investigation <https://doi.org/10.1080/02331934.2021.1883015>`_, *Optimization* (2021). [`preprint <https://arxiv.org/abs/1812.11343>`_]

docs/build/html/advanced.html

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<h2>References<a class="headerlink" href="#references" title="Permalink to this headline"></a></h2>
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<dl class="citation">
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<dt class="label" id="cfmr2018"><span class="brackets"><a class="fn-backref" href="#id1">CFMR2018</a></span></dt>
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<dd><p>Coralia Cartis, Jan Fiala, Benjamina Marteau and Lindon Roberts, <a class="reference external" href="https://doi.org/10.1145/3338517">Improving the Flexibility and Robustness of Model-Based Derivative-Free Optimization Solvers</a>, <em>ACM Transactions on Mathematical Software</em>, 45:3 (2019), pp. 32:1-32:41 [<a class="reference external" href="https://arxiv.org/abs/1804.00154">preprint</a>]</p>
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<dd><p>Coralia Cartis, Jan Fiala, Benjamin Marteau and Lindon Roberts, <a class="reference external" href="https://doi.org/10.1145/3338517">Improving the Flexibility and Robustness of Model-Based Derivative-Free Optimization Solvers</a>, <em>ACM Transactions on Mathematical Software</em>, 45:3 (2019), pp. 32:1-32:41 [<a class="reference external" href="https://arxiv.org/abs/1804.00154">preprint</a>]</p>
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docs/build/html/index.html

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<div class="section" id="py-bobyqa-derivative-free-optimizer-for-bound-constrained-minimization">
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<h1>Py-BOBYQA: Derivative-Free Optimizer for Bound-Constrained Minimization<a class="headerlink" href="#py-bobyqa-derivative-free-optimizer-for-bound-constrained-minimization" title="Permalink to this headline"></a></h1>
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<p><strong>Release:</strong> 1.2</p>
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<p><strong>Date:</strong> 22 February 2021</p>
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<p><strong>Date:</strong> 25 February 2021</p>
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<p><strong>Author:</strong> <a class="reference external" href="mailto:lindon&#46;roberts&#37;&#52;&#48;maths&#46;ox&#46;ac&#46;uk">Lindon Roberts</a></p>
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<p>Py-BOBYQA is a flexible package for finding local solutions to nonlinear, nonconvex minimization problems (with optional bound constraints), without requiring any derivatives of the objective. Py-BOBYQA is a Python implementation of the <a class="reference external" href="http://mat.uc.pt/~zhang/software.html#powell_software">BOBYQA</a> solver by Powell (documentation <a class="reference external" href="http://www.damtp.cam.ac.uk/user/na/NA_papers/NA2009_06.pdf">here</a>). It is particularly useful when evaluations of the objective function are expensive and/or noisy.</p>
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<p>That is, Py-BOBYQA solves</p>
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<p>The upper and lower bounds on the variables are non-relaxable (i.e. Py-BOBYQA will never ask to evaluate a point outside the bounds).</p>
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<p>Full details of the Py-BOBYQA algorithm are given in our papers:</p>
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<ol class="arabic simple">
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<li><p>Coralia Cartis, Jan Fiala, Benjamina Marteau and Lindon Roberts, <a class="reference external" href="https://doi.org/10.1145/3338517">Improving the Flexibility and Robustness of Model-Based Derivative-Free Optimization Solvers</a>, <em>ACM Transactions on Mathematical Software</em>, 45:3 (2019), pp. 32:1-32:41 [<a class="reference external" href="https://arxiv.org/abs/1804.00154">preprint</a>]</p></li>
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<li><p>Coralia Cartis, Jan Fiala, Benjamin Marteau and Lindon Roberts, <a class="reference external" href="https://doi.org/10.1145/3338517">Improving the Flexibility and Robustness of Model-Based Derivative-Free Optimization Solvers</a>, <em>ACM Transactions on Mathematical Software</em>, 45:3 (2019), pp. 32:1-32:41 [<a class="reference external" href="https://arxiv.org/abs/1804.00154">preprint</a>]</p></li>
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<li><p>Coralia Cartis, Lindon Roberts and Oliver Sheridan-Methven, <a class="reference external" href="https://doi.org/10.1080/02331934.2021.1883015">Escaping local minima with derivative-free methods: a numerical investigation</a>, <em>Optimization</em> (2021). [<a class="reference external" href="https://arxiv.org/abs/1812.11343">preprint</a>]</p></li>
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</ol>
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<p>Please cite [1] when using Py-BOBYQA for local optimization, and [1,2] when using Py-BOBYQA’s global optimization heuristic functionality <strong>(new in v1.1!)</strong>.</p>

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<h2>References<a class="headerlink" href="#references" title="Permalink to this headline"></a></h2>
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<dl class="citation">
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<dt class="label" id="cfmr2018"><span class="brackets"><a class="fn-backref" href="#id2">CFMR2018</a></span></dt>
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<dd><p>Coralia Cartis, Jan Fiala, Benjamina Marteau and Lindon Roberts, <a class="reference external" href="https://doi.org/10.1145/3338517">Improving the Flexibility and Robustness of Model-Based Derivative-Free Optimization Solvers</a>, <em>ACM Transactions on Mathematical Software</em>, 45:3 (2019), pp. 32:1-32:41 [<a class="reference external" href="https://arxiv.org/abs/1804.00154">preprint</a>]</p>
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<dd><p>Coralia Cartis, Jan Fiala, Benjamin Marteau and Lindon Roberts, <a class="reference external" href="https://doi.org/10.1145/3338517">Improving the Flexibility and Robustness of Model-Based Derivative-Free Optimization Solvers</a>, <em>ACM Transactions on Mathematical Software</em>, 45:3 (2019), pp. 32:1-32:41 [<a class="reference external" href="https://arxiv.org/abs/1804.00154">preprint</a>]</p>
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</dd>
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<dt class="label" id="powell2009"><span class="brackets"><a class="fn-backref" href="#id1">Powell2009</a></span></dt>
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<dd><p>Michael J. D. Powell, <a class="reference external" href="http://www.damtp.cam.ac.uk/user/na/NA_papers/NA2009_06.pdf">The BOBYQA algorithm for bound constrained optimization without derivatives</a>, technical report DAMTP 2009/NA06, University of Cambridge, (2009).</p>

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