******
|logo|
******
``imate``, short for **I**\ mplicit **Ma**\ trix **T**\ race **E**\ stimator, is a modular and high-performance C++/CUDA library distributed as a Python package that provides scalable randomized algorithms for the computationally expensive matrix functions in machine learning.
Links
=====
* `Documentation <https://ameli.github.io/imate>`__
* `PyPI <https://pypi.org/project/imate/>`__
* `Anaconda <https://anaconda.org/s-ameli/imate>`__
* `Docker Hub <https://hub.docker.com/r/sameli/imate>`__
* `Github <https://github.com/ameli/imate>`__
Install
=======
Install with ``pip``
--------------------
|pypi|
::
pip install imate
Install with ``conda``
----------------------
|conda-version|
::
conda install -c s-ameli imate
Docker Image
------------
|docker-pull| |deploy-docker|
::
docker pull sameli/imate
Supported Platforms
===================
Successful installation and tests performed on the following operating systems, architectures, and Python and `PyPy <https://www.pypy.org/>`__ versions:
.. |y| unicode:: U+2714
.. |n| unicode:: U+2716
+----------+-----------------+--------------+-------+-------+-------+-------+-------+-------+-------+-----------------+
| Platform | Arch | Device | Python Version | PyPy Version :sup:`1` | Continuous |
+ | + +-------+-------+-------+-------+-------+-------+-------+ Integration +
| | | | 3.9 | 3.10 | 3.11 | 3.12 | 3.8 | 3.9 | 3.10 | |
+==========+=================+==============+=======+=======+=======+=======+=======+=======+=======+=================+
| Linux | X86-64 | CPU | |y| | |y| | |y| | |y| | |y| | |y| | |y| | |build-linux| |
+ + +--------------+-------+-------+-------+-------+-------+-------+-------+ +
| | | GPU | |y| | |y| | |y| | |y| | |y| | |y| | |y| | |
+ +-----------------+--------------+-------+-------+-------+-------+-------+-------+-------+ +
| | AARCH-64 | CPU | |y| | |y| | |y| | |y| | |y| | |y| | |y| | |
+ + +--------------+-------+-------+-------+-------+-------+-------+-------+ +
| | | GPU | |y| | |y| | |y| | |y| | |y| | |y| | |y| | |
+----------+-----------------+--------------+-------+-------+-------+-------+-------+-------+-------+-----------------+
| macOS | X86-64 | CPU | |y| | |y| | |y| | |y| | |y| | |y| | |y| | |build-macos| |
+ + +--------------+-------+-------+-------+-------+-------+-------+-------+ +
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+ +-----------------+--------------+-------+-------+-------+-------+-------+-------+-------+ +
| | ARM-64 | CPU | |y| | |y| | |y| | |y| | |n| | |y| | |y| | |
+ + +--------------+-------+-------+-------+-------+-------+-------+-------+ +
| | | GPU :sup:`2` | |n| | |n| | |n| | |n| | |n| | |n| | |n| | |
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| Windows | X86-64 | CPU | |y| | |y| | |y| | |y| | |n| | |n| | |n| | |build-windows| |
+ + +--------------+-------+-------+-------+-------+-------+-------+-------+ +
| | | GPU | |y| | |y| | |y| | |y| | |n| | |n| | |n| | |
+----------+-----------------+--------------+-------+-------+-------+-------+-------+-------+-------+-----------------+
.. |build-linux| image:: https://img.shields.io/github/actions/workflow/status/ameli/imate/build-linux.yml
:target: https://github.com/ameli/imate/actions?query=workflow%3Abuild-linux
.. |build-macos| image:: https://img.shields.io/github/actions/workflow/status/ameli/imate/build-macos.yml
:target: https://github.com/ameli/imate/actions?query=workflow%3Abuild-macos
.. |build-windows| image:: https://img.shields.io/github/actions/workflow/status/ameli/imate/build-windows.yml
:target: https://github.com/ameli/imate/actions?query=workflow%3Abuild-windows
Python wheels for ``imate`` for all supported platforms and versions in the above are available through `PyPI <https://pypi.org/project/imate/>`__ and `Anaconda Cloud <https://anaconda.org/s-ameli/imate>`__. If you need ``imate`` on other platforms, architectures, and Python or PyPy versions, `raise an issue <https://github.com/ameli/imate/issues>`__ on GitHub and we build its Python Wheel for you.
.. line-block::
:sup:`1. Our wheels for PyPy are exclusively available through pip and cannot be installed using conda.`
:sup:`2. MacOS does not natively support NVIDIA GPUs.`
Supported GPU Architectures
===========================
``imate`` can run on CUDA-capable **multi**-GPU devices. Using the **docker container** is the easiest way to run ``imate`` on GPU devices. The supported GPU micro-architectures and CUDA version are as follows:
+-----------------+---------+---------+---------+---------+---------+---------+---------+--------+
| Version \\ Arch | Fermi | Kepler | Maxwell | Pascal | Volta | Turing | Ampere | Hopper |
+=================+=========+=========+=========+=========+=========+=========+=========+========+
| CUDA 9 | |n| | |n| | |n| | |n| | |n| | |n| | |n| | |n| |
+-----------------+---------+---------+---------+---------+---------+---------+---------+--------+
| CUDA 10 | |n| | |y| | |y| | |y| | |y| | |y| | |y| | |y| |
+-----------------+---------+---------+---------+---------+---------+---------+---------+--------+
| CUDA 11 | |n| | |n| | |n| | |y| | |y| | |y| | |y| | |y| |
+-----------------+---------+---------+---------+---------+---------+---------+---------+--------+
| CUDA 12 | |n| | |n| | |n| | |y| | |y| | |y| | |y| | |y| |
+-----------------+---------+---------+---------+---------+---------+---------+---------+--------+
Documentation
=============
|deploy-docs| |binder|
See `documentation <https://ameli.github.io/imate/index.html>`__, including:
* `What This Packages Does? <https://ameli.github.io/imate/overview.html>`__
* `Comprehensive Installation Guide <https://ameli.github.io/imate/tutorials/install.html>`__
* `How to Work with Docker Container? <https://ameli.github.io/imate/tutorials/docker.html>`__
* `How to Deploy on GPU Devices? <https://ameli.github.io/imate/tutorials/gpu.html>`__
* `API Reference <https://ameli.github.io/imate/api.html>`__
* `Interactive Notebook Tutorials <https://mybinder.org/v2/gh/ameli/glearn/HEAD?filepath=notebooks%2Fquick_start.ipynb>`__
* `Publications <https://ameli.github.io/imate/cite.html>`__
Performance
===========
``imate`` is scalable to **very large matrices**. Its core library for basic linear algebraic operations is **faster than OpenBLAS**, and its **pseudo-random generator** is a hundred-fold faster than the implementation in the standard C++ library.
Read about the performance of ``imate`` in practical applications:
* `Performance on GPU Farm <https://ameli.github.io/imate/performance/gpu.html#perf-gpu>`__
* `Comparison of Randomized Algorithms <https://ameli.github.io/imate/performance/algorithms.html>`__
* `Comparison With and Without OpenBLAS <https://ameli.github.io/imate/performance/openblas.html#perf-openblas>`__
* `Interpolation of Affine Matrix Functions <https://ameli.github.io/imate/performance/interpolation.html>`__
How to Contribute
=================
We welcome contributions via `GitHub's pull request <https://github.com/ameli/imate/pulls>`__. If you do not feel comfortable modifying the code, we also welcome feature requests and bug reports as `GitHub issues <https://github.com/ameli/imate/issues>`__.
How to Cite
===========
If you publish work that uses ``imate``, please consider citing the manuscripts available `here <https://ameli.github.io/imate/cite.html>`__.
License
=======
|license|
This project uses a `BSD 3-clause license <https://github.com/ameli/imate/blob/main/LICENSE.txt>`__, in hopes that it will be accessible to most projects. If you require a different license, please raise an `issue <https://github.com/ameli/imate/issues>`__ and we will consider a dual license.
.. |logo| image:: https://raw.githubusercontent.com/ameli/imate/main/docs/source/_static/images/icons/logo-imate-light.svg
:width: 160
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.. |deploy-docs| image:: https://img.shields.io/github/actions/workflow/status/ameli/imate/deploy-docs.yml?label=docs
:target: https://github.com/ameli/imate/actions?query=workflow%3Adeploy-docs
.. |binder| image:: https://mybinder.org/badge_logo.svg
:target: https://mybinder.org/v2/gh/ameli/imate/HEAD?filepath=notebooks%2Fquick_start.ipynb
.. |pypi| image:: https://img.shields.io/pypi/v/imate
:target: https://pypi.org/project/imate/
.. |deploy-docker| image:: https://img.shields.io/github/actions/workflow/status/ameli/imate/deploy-docker.yml?label=build%20docker
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.. |docker-pull| image:: https://img.shields.io/docker/pulls/sameli/imate?color=green&label=downloads
:target: https://hub.docker.com/r/sameli/imate
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"description": "******\n|logo|\n******\n\n``imate``, short for **I**\\ mplicit **Ma**\\ trix **T**\\ race **E**\\ stimator, is a modular and high-performance C++/CUDA library distributed as a Python package that provides scalable randomized algorithms for the computationally expensive matrix functions in machine learning.\n\nLinks\n=====\n\n* `Documentation <https://ameli.github.io/imate>`__\n* `PyPI <https://pypi.org/project/imate/>`__\n* `Anaconda <https://anaconda.org/s-ameli/imate>`__\n* `Docker Hub <https://hub.docker.com/r/sameli/imate>`__\n* `Github <https://github.com/ameli/imate>`__\n\nInstall\n=======\n\nInstall with ``pip``\n--------------------\n\n|pypi|\n\n::\n\n pip install imate\n\nInstall with ``conda``\n----------------------\n\n|conda-version|\n\n::\n\n conda install -c s-ameli imate\n\nDocker Image\n------------\n\n|docker-pull| |deploy-docker|\n\n::\n\n docker pull sameli/imate\n\nSupported Platforms\n===================\n\nSuccessful installation and tests performed on the following operating systems, architectures, and Python and `PyPy <https://www.pypy.org/>`__ versions:\n\n.. |y| unicode:: U+2714\n.. |n| unicode:: U+2716\n\n+----------+-----------------+--------------+-------+-------+-------+-------+-------+-------+-------+-----------------+\n| Platform | Arch | Device | Python Version | PyPy Version :sup:`1` | Continuous |\n+ | + +-------+-------+-------+-------+-------+-------+-------+ Integration +\n| | | | 3.9 | 3.10 | 3.11 | 3.12 | 3.8 | 3.9 | 3.10 | |\n+==========+=================+==============+=======+=======+=======+=======+=======+=======+=======+=================+\n| Linux | X86-64 | CPU | |y| | |y| | |y| | |y| | |y| | |y| | |y| | |build-linux| |\n+ + +--------------+-------+-------+-------+-------+-------+-------+-------+ +\n| | | GPU | |y| | |y| | |y| | |y| | |y| | |y| | |y| | |\n+ +-----------------+--------------+-------+-------+-------+-------+-------+-------+-------+ +\n| | AARCH-64 | CPU | |y| | |y| | |y| | |y| | |y| | |y| | |y| | |\n+ + +--------------+-------+-------+-------+-------+-------+-------+-------+ +\n| | | GPU | |y| | |y| | |y| | |y| | |y| | |y| | |y| | |\n+----------+-----------------+--------------+-------+-------+-------+-------+-------+-------+-------+-----------------+\n| macOS | X86-64 | CPU | |y| | |y| | |y| | |y| | |y| | |y| | |y| | |build-macos| |\n+ + +--------------+-------+-------+-------+-------+-------+-------+-------+ +\n| | | GPU :sup:`2` | |n| | |n| | |n| | |n| | |n| | |n| | |n| | |\n+ +-----------------+--------------+-------+-------+-------+-------+-------+-------+-------+ +\n| | ARM-64 | CPU | |y| | |y| | |y| | |y| | |n| | |y| | |y| | |\n+ + +--------------+-------+-------+-------+-------+-------+-------+-------+ +\n| | | GPU :sup:`2` | |n| | |n| | |n| | |n| | |n| | |n| | |n| | |\n+----------+-----------------+--------------+-------+-------+-------+-------+-------+-------+-------+-----------------+\n| Windows | X86-64 | CPU | |y| | |y| | |y| | |y| | |n| | |n| | |n| | |build-windows| |\n+ + +--------------+-------+-------+-------+-------+-------+-------+-------+ +\n| | | GPU | |y| | |y| | |y| | |y| | |n| | |n| | |n| | |\n+----------+-----------------+--------------+-------+-------+-------+-------+-------+-------+-------+-----------------+\n\n.. |build-linux| image:: https://img.shields.io/github/actions/workflow/status/ameli/imate/build-linux.yml\n :target: https://github.com/ameli/imate/actions?query=workflow%3Abuild-linux \n.. |build-macos| image:: https://img.shields.io/github/actions/workflow/status/ameli/imate/build-macos.yml\n :target: https://github.com/ameli/imate/actions?query=workflow%3Abuild-macos\n.. |build-windows| image:: https://img.shields.io/github/actions/workflow/status/ameli/imate/build-windows.yml\n :target: https://github.com/ameli/imate/actions?query=workflow%3Abuild-windows\n\nPython wheels for ``imate`` for all supported platforms and versions in the above are available through `PyPI <https://pypi.org/project/imate/>`__ and `Anaconda Cloud <https://anaconda.org/s-ameli/imate>`__. If you need ``imate`` on other platforms, architectures, and Python or PyPy versions, `raise an issue <https://github.com/ameli/imate/issues>`__ on GitHub and we build its Python Wheel for you.\n\n.. line-block::\n\n :sup:`1. Our wheels for PyPy are exclusively available through pip and cannot be installed using conda.`\n :sup:`2. MacOS does not natively support NVIDIA GPUs.`\n\nSupported GPU Architectures\n===========================\n\n``imate`` can run on CUDA-capable **multi**-GPU devices. Using the **docker container** is the easiest way to run ``imate`` on GPU devices. The supported GPU micro-architectures and CUDA version are as follows:\n\n+-----------------+---------+---------+---------+---------+---------+---------+---------+--------+\n| Version \\\\ Arch | Fermi | Kepler | Maxwell | Pascal | Volta | Turing | Ampere | Hopper |\n+=================+=========+=========+=========+=========+=========+=========+=========+========+\n| CUDA 9 | |n| | |n| | |n| | |n| | |n| | |n| | |n| | |n| |\n+-----------------+---------+---------+---------+---------+---------+---------+---------+--------+\n| CUDA 10 | |n| | |y| | |y| | |y| | |y| | |y| | |y| | |y| |\n+-----------------+---------+---------+---------+---------+---------+---------+---------+--------+\n| CUDA 11 | |n| | |n| | |n| | |y| | |y| | |y| | |y| | |y| |\n+-----------------+---------+---------+---------+---------+---------+---------+---------+--------+\n| CUDA 12 | |n| | |n| | |n| | |y| | |y| | |y| | |y| | |y| |\n+-----------------+---------+---------+---------+---------+---------+---------+---------+--------+\n\nDocumentation\n=============\n\n|deploy-docs| |binder|\n\nSee `documentation <https://ameli.github.io/imate/index.html>`__, including:\n\n* `What This Packages Does? <https://ameli.github.io/imate/overview.html>`__\n* `Comprehensive Installation Guide <https://ameli.github.io/imate/tutorials/install.html>`__\n* `How to Work with Docker Container? <https://ameli.github.io/imate/tutorials/docker.html>`__\n* `How to Deploy on GPU Devices? <https://ameli.github.io/imate/tutorials/gpu.html>`__\n* `API Reference <https://ameli.github.io/imate/api.html>`__\n* `Interactive Notebook Tutorials <https://mybinder.org/v2/gh/ameli/glearn/HEAD?filepath=notebooks%2Fquick_start.ipynb>`__\n* `Publications <https://ameli.github.io/imate/cite.html>`__\n\nPerformance\n===========\n\n``imate`` is scalable to **very large matrices**. Its core library for basic linear algebraic operations is **faster than OpenBLAS**, and its **pseudo-random generator** is a hundred-fold faster than the implementation in the standard C++ library.\n\nRead about the performance of ``imate`` in practical applications:\n\n* `Performance on GPU Farm <https://ameli.github.io/imate/performance/gpu.html#perf-gpu>`__\n* `Comparison of Randomized Algorithms <https://ameli.github.io/imate/performance/algorithms.html>`__\n* `Comparison With and Without OpenBLAS <https://ameli.github.io/imate/performance/openblas.html#perf-openblas>`__\n* `Interpolation of Affine Matrix Functions <https://ameli.github.io/imate/performance/interpolation.html>`__\n \nHow to Contribute\n=================\n\nWe welcome contributions via `GitHub's pull request <https://github.com/ameli/imate/pulls>`__. If you do not feel comfortable modifying the code, we also welcome feature requests and bug reports as `GitHub issues <https://github.com/ameli/imate/issues>`__.\n\nHow to Cite\n===========\n\nIf you publish work that uses ``imate``, please consider citing the manuscripts available `here <https://ameli.github.io/imate/cite.html>`__.\n\nLicense\n=======\n\n|license|\n\nThis project uses a `BSD 3-clause license <https://github.com/ameli/imate/blob/main/LICENSE.txt>`__, in hopes that it will be accessible to most projects. 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