Metadata-Version: 2.1
Name: iminuit
Version: 2.24.0
Summary: Jupyter-friendly Python frontend for MINUIT2 in C++
Maintainer: Hans Dembinski
Maintainer-Email: Unknown <hans.dembinski@gmail.com>
License: Minuit is from SEAL Minuit It's LGPL v2
        http://seal.web.cern.ch/seal/main/license.html.
        
        For iminuit, I'm releasing it as MIT license:
        
        Copyright (c) 2012 Piti Ongmongkolkul
        
        Permission is hereby granted, free of charge, to any person obtaining a copy of
        this software and associated documentation files (the "Software"), to deal in
        the Software without restriction, including without limitation the rights to
        use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies
        of the Software, and to permit persons to whom the Software is furnished to do
        so, subject to the following conditions:
        
        The above copyright notice and this permission notice shall be included in all
        copies or substantial portions of the Software.
        
        THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
        IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
        FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
        AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
        LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
        OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
        SOFTWARE.
        
        
        Note:
        MIT license is GPL compatible, so it is an acceptable license for a wrapper,
        as can be seen here:
        http://www.gnu.org/licenses/old-licenses/gpl-2.0-faq.html#GPLWrapper
        http://www.gnu.org/licenses/old-licenses/gpl-2.0-faq.html#OrigBSD
        
        (L)GPL can be combined or included in code that does not impose more restrictive
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Classifier: Development Status :: 5 - Production/Stable
Classifier: Intended Audience :: Science/Research
Classifier: Intended Audience :: Developers
Classifier: License :: OSI Approved :: MIT License
Classifier: License :: OSI Approved :: GNU Library or Lesser General Public License (LGPL)
Classifier: Programming Language :: C++
Classifier: Programming Language :: Python
Classifier: Programming Language :: Python :: 3
Classifier: Programming Language :: Python :: 3 :: Only
Classifier: Programming Language :: Python :: Implementation :: CPython
Classifier: Programming Language :: Python :: Implementation :: PyPy
Classifier: Topic :: Software Development
Classifier: Topic :: Scientific/Engineering :: Physics
Classifier: Topic :: Scientific/Engineering :: Mathematics
Classifier: Operating System :: Microsoft :: Windows
Classifier: Operating System :: POSIX
Classifier: Operating System :: Unix
Classifier: Operating System :: MacOS
Project-URL: Repository, http://github.com/scikit-hep/iminuit
Project-URL: Documentation, https://iminuit.readthedocs.io
Requires-Python: >=3.8
Requires-Dist: numpy>=1.21
Requires-Dist: typing_extensions; python_version < "3.9"
Requires-Dist: coverage; extra == "test"
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Requires-Dist: jacobi; extra == "test"
Requires-Dist: matplotlib; extra == "test"
Requires-Dist: numpy; extra == "test"
Requires-Dist: numba; extra == "test"
Requires-Dist: numba-stats; extra == "test"
Requires-Dist: pytest; extra == "test"
Requires-Dist: scipy; extra == "test"
Requires-Dist: tabulate; extra == "test"
Requires-Dist: boost_histogram; extra == "test"
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Requires-Dist: unicodeitplus; extra == "test"
Requires-Dist: pydantic; extra == "test"
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Provides-Extra: test
Provides-Extra: doc
Description-Content-Type: text/x-rst

.. |iminuit| image:: doc/_static/iminuit_logo.svg
   :alt: iminuit

|iminuit|
=========

.. version-marker-do-not-remove

.. image:: https://scikit-hep.org/assets/images/Scikit--HEP-Project-blue.svg
   :target: https://scikit-hep.org
.. image:: https://img.shields.io/pypi/v/iminuit.svg
   :target: https://pypi.org/project/iminuit
.. image:: https://img.shields.io/conda/vn/conda-forge/iminuit.svg
   :target: https://github.com/conda-forge/iminuit-feedstock
.. image:: https://coveralls.io/repos/github/scikit-hep/iminuit/badge.svg?branch=develop
   :target: https://coveralls.io/github/scikit-hep/iminuit?branch=develop
.. image:: https://readthedocs.org/projects/iminuit/badge/?version=latest
   :target: https://iminuit.readthedocs.io/en/stable
.. image:: https://zenodo.org/badge/DOI/10.5281/zenodo.3949207.svg
   :target: https://doi.org/10.5281/zenodo.3949207
.. image:: https://img.shields.io/badge/ascl-2108.024-blue.svg?colorB=262255
   :target: https://ascl.net/2108.024
   :alt: ascl:2108.024
.. image:: https://img.shields.io/gitter/room/Scikit-HEP/iminuit
   :target: https://gitter.im/Scikit-HEP/iminuit
.. image:: https://mybinder.org/badge_logo.svg
   :target: https://mybinder.org/v2/gh/scikit-hep/iminuit/develop?filepath=doc%2Ftutorial

*iminuit* is a Jupyter-friendly Python interface for the *Minuit2* C++ library maintained by CERN's ROOT team.

Minuit was designed to minimize statistical cost functions, for likelihood and least-squares fits of parametric models to data. It provides the best-fit parameters and error estimates from likelihood profile analysis.

The iminuit package comes with additional features:

- Builtin cost functions for statistical fits

  - Binned and unbinned maximum-likelihood
  - `Template fits with error propagation <https://doi.org/10.1140/epjc/s10052-022-11019-z>`_
  - Least-squares (optionally robust to outliers)
  - Gaussian penalty terms for parameters
  - Cost functions can be combined by adding them: ``total_cost = cost_1 + cost_2``
  - Visualization of the fit in Jupyter notebooks
- Support for SciPy minimizers as alternatives to Minuit's MIGRAD algorithm (optional)
- Support for Numba accelerated functions (optional)

Dependencies
------------

*iminuit* is (and always will be) a lean package which only depends on ``numpy``, but additional features are enabled if the following optional packages are installed.

- ``matplotlib``: Visualization of fitted model for builtin cost functions
- ``ipywidgets``: Interactive fitting, see example below (also requires ``matplotlib``)
- ``scipy``: Compute Minos intervals for arbitrary confidence levels
- ``unicodeitplus``: Render names of model parameters in simple LaTeX as Unicode

Documentation
-------------

Checkout our large and comprehensive list of `tutorials`_ that take you all the way from beginner to power user. For help and how-to questions, please use the `discussions`_ on GitHub or `gitter`_.

**Lecture by Glen Cowan**

`In the exercises to his lecture for the KMISchool 2022 <https://github.com/KMISchool2022>`_, Glen Cowan shows how to solve statistical problems in Python with iminuit. You can find the lectures and exercises on the Github page, which covers both frequentist and Bayesian methods.

`Glen Cowan <https://scholar.google.com/citations?hl=en&user=ljQwt8QAAAAJ&view_op=list_works>`_ is a known for his papers and international lectures on statistics in particle physics, as a member of the Particle Data Group, and as author of the popular book `Statistical Data Analysis <https://www.pp.rhul.ac.uk/~cowan/sda/>`_.

In a nutshell
-------------

``iminuit`` can be used with a user-provided cost functions in form of a negative log-likelihood function or least-squares function. Standard functions are included in ``iminuit.cost``, so you don't have to write them yourself. The following example shows how to perform an unbinned maximum likelihood fit.

.. code:: python

    import numpy as np
    from iminuit import Minuit
    from iminuit.cost import UnbinnedNLL
    from scipy.stats import norm

    x = norm.rvs(size=1000, random_state=1)

    def pdf(x, mu, sigma):
        return norm.pdf(x, mu, sigma)

    # Negative unbinned log-likelihood, you can write your own
    cost = UnbinnedNLL(x, pdf)

    m = Minuit(cost, mu=0, sigma=1)
    m.limits["sigma"] = (0, np.inf)
    m.migrad()  # find minimum
    m.hesse()   # compute uncertainties

.. image:: doc/_static/demo_output.png
    :alt: Output of the demo in a Jupyter notebook

Interactive fitting
-------------------

``iminuit`` optionally supports an interactive fitting mode in Jupyter notebooks.

.. image:: doc/_static/interactive_demo.gif
   :alt: Animated demo of an interactive fit in a Jupyter notebook

Faster than RooFit
------------------

When ``iminuit`` is used with cost functions and pdfs that are JIT-compiled with `numba`_ (JIT-compiled pdfs are provided by `numba_stats`_ ), the fit is up to 10x faster compared to an equivalent fit in the `RooFit`_ framework. The gain is particularly large when `numba`_ with auto-parallelization is compared to parallel computation in `RooFit`_.

.. image:: doc/_static/roofit_vs_iminuit+numba.svg

More information about this benchmark is given `in the Benchmark section of the documentation <https://iminuit.readthedocs.io/en/stable/benchmark.html#cost-function-benchmark>`_.

Partner projects
----------------

* `numba_stats`_ provides faster implementations of probability density functions than scipy, and a few specific ones used in particle physics that are not in scipy.
* `boost-histogram`_ from Scikit-HEP provides fast generalized histograms that you can use with the builtin cost functions.
* `jacobi`_ provides a robust, fast, and accurate calculation of the Jacobi matrix of any transformation function and building a function for generic error propagation.

Versions
--------

**The current 2.x series has introduced breaking interfaces changes with respect to the 1.x series.**

All interface changes are documented in the `changelog`_ with recommendations how to upgrade. To keep existing scripts running, pin your major iminuit version to <2, i.e. ``pip install 'iminuit<2'`` installs the 1.x series.

.. _changelog: https://iminuit.readthedocs.io/en/stable/changelog.html
.. _tutorials: https://iminuit.readthedocs.io/en/stable/tutorials.html
.. _discussions: https://github.com/scikit-hep/iminuit/discussions
.. _gitter: https://gitter.im/Scikit-HEP/iminuit
.. _jacobi: https://github.com/hdembinski/jacobi
.. _numba_stats: https://github.com/HDembinski/numba-stats
.. _boost-histogram: https://github.com/scikit-hep/boost-histogram
.. _numba: https://numba.pydata.org
.. _RooFit: https://root.cern.ch/doc/master/namespaceRooFit.html
