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authors/eduardosalaz/bilevel/bilevel_markets.ipynb

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"#### Objective Function\n",
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"\n",
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"$$\n",
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"\\begin{align}\n",
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"\\max_{\\substack{\\text{bid}_i, p_i, \\lambda \\\\ \\mu_i^-, \\mu_i^+, \\nu}} \\quad \\sum_{i \\in \\mathcal{S}} \\left( \\lambda \\cdot p_i - c_i \\cdot p_i - q_i \\cdot p_i^2 \\right) \\tag{MPEC-Obj}\n",
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"\\end{align}\n",
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"$$\n",
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"\n",
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"#### Constraints\n",

authors/glebbelov/conic/logistic_regression.ipynb

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"\n",
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"Description: Logistic regression with amplpy using exponential cones\n",
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"\n",
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"Tags: highlights, amplpy, regression, sigmoid, softplus, log-sum-exp, classifier, regularization, machine learning, conic, exponential cone, second-order cone, quadratic cone, formulation comparison\n",
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"Tags: highlights, amplpy, logistic regression, regression, sigmoid, softplus, log-sum-exp, classifier, regularization, machine learning, conic, exponential cone, second-order cone, quadratic cone, formulation comparison\n",
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"\n",
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"Notebook author: Gleb Belov <<gleb@ampl.com>>, Filipe Brandão <<fdabrandao@gmail.com>>\n",
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"\n",
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"id": "WVqiAEgp0qvs"
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},
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"source": [
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"## Evaluate perfornace the optimal $\\theta$ for each lambda on the test set"
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"## Evaluate performance of the optimal $\\theta$ for each lambda on the test set"
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]
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},
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{

authors/marcos-dv/geometry/largest_small_polygon.ipynb

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"\n",
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"There are other models that might be more efficient, these assume *Graham Conjecture*, related to symmetry properties in the diameter graph.\n",
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"\n",
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"* Multiple non-linear solvers could be used to tackle this problem when the number of sides become big: knitro, ipopt, octeract. For this particular problem, **knitro** (13.2.0) gave the best performance in terms of speed and optimality of solutions."
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"* Multiple non-linear solvers could be used to tackle this problem when the number of sides become big: knitro, ipopt. For this particular problem, **knitro** (13.2.0) gave the best performance in terms of speed and optimality of solutions."
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]
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}
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],

docs/source/authors/fdabrandao_at_gmail.com.rst

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| `Notebooks <../notebooks/index.html>`_ > `Logistic Regression with amplpy <../notebooks/logistic-regression-with-amplpy.html>`_
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| |github-logistic-regression-with-amplpy| |colab-logistic-regression-with-amplpy| |deepnote-logistic-regression-with-amplpy| |kaggle-logistic-regression-with-amplpy| |gradient-logistic-regression-with-amplpy| |sagemaker-logistic-regression-with-amplpy|
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| Description: Logistic regression with amplpy using exponential cones
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| Tags: :ref:`tag-highlights`, :ref:`tag-amplpy`, :ref:`tag-regression`, :ref:`tag-sigmoid`, :ref:`tag-softplus`, :ref:`tag-log-sum-exp`, :ref:`tag-classifier`, :ref:`tag-regularization`, :ref:`tag-machine-learning`, :ref:`tag-conic`, :ref:`tag-exponential-cone`, :ref:`tag-second-order-cone`, :ref:`tag-quadratic-cone`, :ref:`tag-formulation-comparison`
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| Tags: :ref:`tag-highlights`, :ref:`tag-amplpy`, :ref:`tag-logistic-regression`, :ref:`tag-regression`, :ref:`tag-sigmoid`, :ref:`tag-softplus`, :ref:`tag-log-sum-exp`, :ref:`tag-classifier`, :ref:`tag-regularization`, :ref:`tag-machine-learning`, :ref:`tag-conic`, :ref:`tag-exponential-cone`, :ref:`tag-second-order-cone`, :ref:`tag-quadratic-cone`, :ref:`tag-formulation-comparison`
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| Author: :ref:`email-gleb_at_ampl.com` <gleb@ampl.com>, :ref:`email-fdabrandao_at_gmail.com` <fdabrandao@gmail.com>
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.. |github-logistic-regression-with-amplpy| image:: https://img.shields.io/badge/github-%23121011.svg?logo=github

docs/source/authors/gleb_at_ampl.com.rst

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| `Notebooks <../notebooks/index.html>`_ > `Logistic Regression with amplpy <../notebooks/logistic-regression-with-amplpy.html>`_
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| |github-logistic-regression-with-amplpy| |colab-logistic-regression-with-amplpy| |deepnote-logistic-regression-with-amplpy| |kaggle-logistic-regression-with-amplpy| |gradient-logistic-regression-with-amplpy| |sagemaker-logistic-regression-with-amplpy|
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| Description: Logistic regression with amplpy using exponential cones
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| Tags: :ref:`tag-highlights`, :ref:`tag-amplpy`, :ref:`tag-regression`, :ref:`tag-sigmoid`, :ref:`tag-softplus`, :ref:`tag-log-sum-exp`, :ref:`tag-classifier`, :ref:`tag-regularization`, :ref:`tag-machine-learning`, :ref:`tag-conic`, :ref:`tag-exponential-cone`, :ref:`tag-second-order-cone`, :ref:`tag-quadratic-cone`, :ref:`tag-formulation-comparison`
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| Tags: :ref:`tag-highlights`, :ref:`tag-amplpy`, :ref:`tag-logistic-regression`, :ref:`tag-regression`, :ref:`tag-sigmoid`, :ref:`tag-softplus`, :ref:`tag-log-sum-exp`, :ref:`tag-classifier`, :ref:`tag-regularization`, :ref:`tag-machine-learning`, :ref:`tag-conic`, :ref:`tag-exponential-cone`, :ref:`tag-second-order-cone`, :ref:`tag-quadratic-cone`, :ref:`tag-formulation-comparison`
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| Author: :ref:`email-gleb_at_ampl.com` <gleb@ampl.com>, :ref:`email-fdabrandao_at_gmail.com` <fdabrandao@gmail.com>
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.. |github-logistic-regression-with-amplpy| image:: https://img.shields.io/badge/github-%23121011.svg?logo=github

docs/source/index.rst

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| `Notebooks <notebooks/index.html>`_ > `Logistic Regression with amplpy <notebooks/logistic-regression-with-amplpy.html>`_
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| |github-logistic-regression-with-amplpy| |colab-logistic-regression-with-amplpy| |deepnote-logistic-regression-with-amplpy| |kaggle-logistic-regression-with-amplpy| |gradient-logistic-regression-with-amplpy| |sagemaker-logistic-regression-with-amplpy|
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| Description: Logistic regression with amplpy using exponential cones
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| Tags: :ref:`tag-highlights`, :ref:`tag-amplpy`, :ref:`tag-regression`, :ref:`tag-sigmoid`, :ref:`tag-softplus`, :ref:`tag-log-sum-exp`, :ref:`tag-classifier`, :ref:`tag-regularization`, :ref:`tag-machine-learning`, :ref:`tag-conic`, :ref:`tag-exponential-cone`, :ref:`tag-second-order-cone`, :ref:`tag-quadratic-cone`, :ref:`tag-formulation-comparison`
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| Tags: :ref:`tag-highlights`, :ref:`tag-amplpy`, :ref:`tag-logistic-regression`, :ref:`tag-regression`, :ref:`tag-sigmoid`, :ref:`tag-softplus`, :ref:`tag-log-sum-exp`, :ref:`tag-classifier`, :ref:`tag-regularization`, :ref:`tag-machine-learning`, :ref:`tag-conic`, :ref:`tag-exponential-cone`, :ref:`tag-second-order-cone`, :ref:`tag-quadratic-cone`, :ref:`tag-formulation-comparison`
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| Author: :ref:`email-gleb_at_ampl.com` <gleb@ampl.com>, :ref:`email-fdabrandao_at_gmail.com` <fdabrandao@gmail.com>
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.. |github-logistic-regression-with-amplpy| image:: https://img.shields.io/badge/github-%23121011.svg?logo=github

docs/source/modules/coin.rst

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| `Notebooks <../notebooks/index.html>`_ > `Logistic Regression with amplpy <../notebooks/logistic-regression-with-amplpy.html>`_
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| |github-logistic-regression-with-amplpy| |colab-logistic-regression-with-amplpy| |deepnote-logistic-regression-with-amplpy| |kaggle-logistic-regression-with-amplpy| |gradient-logistic-regression-with-amplpy| |sagemaker-logistic-regression-with-amplpy|
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| Description: Logistic regression with amplpy using exponential cones
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| Tags: :ref:`tag-highlights`, :ref:`tag-amplpy`, :ref:`tag-regression`, :ref:`tag-sigmoid`, :ref:`tag-softplus`, :ref:`tag-log-sum-exp`, :ref:`tag-classifier`, :ref:`tag-regularization`, :ref:`tag-machine-learning`, :ref:`tag-conic`, :ref:`tag-exponential-cone`, :ref:`tag-second-order-cone`, :ref:`tag-quadratic-cone`, :ref:`tag-formulation-comparison`
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| Tags: :ref:`tag-highlights`, :ref:`tag-amplpy`, :ref:`tag-logistic-regression`, :ref:`tag-regression`, :ref:`tag-sigmoid`, :ref:`tag-softplus`, :ref:`tag-log-sum-exp`, :ref:`tag-classifier`, :ref:`tag-regularization`, :ref:`tag-machine-learning`, :ref:`tag-conic`, :ref:`tag-exponential-cone`, :ref:`tag-second-order-cone`, :ref:`tag-quadratic-cone`, :ref:`tag-formulation-comparison`
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| Author: :ref:`email-gleb_at_ampl.com` <gleb@ampl.com>, :ref:`email-fdabrandao_at_gmail.com` <fdabrandao@gmail.com>
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.. |github-logistic-regression-with-amplpy| image:: https://img.shields.io/badge/github-%23121011.svg?logo=github

docs/source/modules/index.rst

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- Open-source: ``highs``, ``cbc``, ``coin`` (includes: CBC, Couenne, Ipopt, Bonmin), ``open`` (includes all open-source solvers)
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- `NEOS Server <https://www.neos-server.org/>`_: ``gokestrel`` (`kestrel client <https://dev.ampl.com/solvers/kestrel.html>`_)
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- Commercial solvers: ``baron``, ``conopt``, ``copt``, ``cplex``, ``gurobi``, ``knitro``, ``lgo``, ``lindoglobal``, ``loqo``, ``minos``, ``mosek``, ``octeract``, ``snopt``, ``xpress``
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- Commercial solvers: ``baron``, ``conopt``, ``copt``, ``cplex``, ``gurobi``, ``knitro``, ``lgo``, ``lindoglobal``, ``loqo``, ``minos``, ``mosek``, ``snopt``, ``xpress``
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- AMPL Plugins: ``amplgsl`` (`amplgsl docs <https://amplgsl.readthedocs.io/>`_), ``plugins`` (`amplplugins docs <https://amplplugins.readthedocs.io/>`_)
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.. toctree::
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:maxdepth: 2
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baron
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cbc
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coin
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copt

docs/source/modules/mosek.rst

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| `Notebooks <../notebooks/index.html>`_ > `Logistic Regression with amplpy <../notebooks/logistic-regression-with-amplpy.html>`_
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| |github-logistic-regression-with-amplpy| |colab-logistic-regression-with-amplpy| |deepnote-logistic-regression-with-amplpy| |kaggle-logistic-regression-with-amplpy| |gradient-logistic-regression-with-amplpy| |sagemaker-logistic-regression-with-amplpy|
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| Description: Logistic regression with amplpy using exponential cones
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| Tags: :ref:`tag-highlights`, :ref:`tag-amplpy`, :ref:`tag-regression`, :ref:`tag-sigmoid`, :ref:`tag-softplus`, :ref:`tag-log-sum-exp`, :ref:`tag-classifier`, :ref:`tag-regularization`, :ref:`tag-machine-learning`, :ref:`tag-conic`, :ref:`tag-exponential-cone`, :ref:`tag-second-order-cone`, :ref:`tag-quadratic-cone`, :ref:`tag-formulation-comparison`
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| Tags: :ref:`tag-highlights`, :ref:`tag-amplpy`, :ref:`tag-logistic-regression`, :ref:`tag-regression`, :ref:`tag-sigmoid`, :ref:`tag-softplus`, :ref:`tag-log-sum-exp`, :ref:`tag-classifier`, :ref:`tag-regularization`, :ref:`tag-machine-learning`, :ref:`tag-conic`, :ref:`tag-exponential-cone`, :ref:`tag-second-order-cone`, :ref:`tag-quadratic-cone`, :ref:`tag-formulation-comparison`
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| Author: :ref:`email-gleb_at_ampl.com` <gleb@ampl.com>, :ref:`email-fdabrandao_at_gmail.com` <fdabrandao@gmail.com>
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.. |github-logistic-regression-with-amplpy| image:: https://img.shields.io/badge/github-%23121011.svg?logo=github

docs/source/tags/amplpy.rst

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| `Notebooks <../notebooks/index.html>`_ > `Logistic Regression with amplpy <../notebooks/logistic-regression-with-amplpy.html>`_
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| |github-logistic-regression-with-amplpy| |colab-logistic-regression-with-amplpy| |deepnote-logistic-regression-with-amplpy| |kaggle-logistic-regression-with-amplpy| |gradient-logistic-regression-with-amplpy| |sagemaker-logistic-regression-with-amplpy|
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| Description: Logistic regression with amplpy using exponential cones
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| Tags: :ref:`tag-highlights`, :ref:`tag-amplpy`, :ref:`tag-regression`, :ref:`tag-sigmoid`, :ref:`tag-softplus`, :ref:`tag-log-sum-exp`, :ref:`tag-classifier`, :ref:`tag-regularization`, :ref:`tag-machine-learning`, :ref:`tag-conic`, :ref:`tag-exponential-cone`, :ref:`tag-second-order-cone`, :ref:`tag-quadratic-cone`, :ref:`tag-formulation-comparison`
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| Tags: :ref:`tag-highlights`, :ref:`tag-amplpy`, :ref:`tag-logistic-regression`, :ref:`tag-regression`, :ref:`tag-sigmoid`, :ref:`tag-softplus`, :ref:`tag-log-sum-exp`, :ref:`tag-classifier`, :ref:`tag-regularization`, :ref:`tag-machine-learning`, :ref:`tag-conic`, :ref:`tag-exponential-cone`, :ref:`tag-second-order-cone`, :ref:`tag-quadratic-cone`, :ref:`tag-formulation-comparison`
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| Author: :ref:`email-gleb_at_ampl.com` <gleb@ampl.com>, :ref:`email-fdabrandao_at_gmail.com` <fdabrandao@gmail.com>
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.. |github-logistic-regression-with-amplpy| image:: https://img.shields.io/badge/github-%23121011.svg?logo=github

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