polylearn

A library for factorization machines and polynomial networks for classification and regression in Python.

Github repository.

Factorization machines and polynomial networks are machine learning models that can capture feature interaction (co-occurrence) through polynomial terms. Because feature interactions can be very sparse, it's common to use low rank, factorized representations; this way, we can learn weights even for feature co-occurrences that haven't been observed at training time.

Factorization machines are popular for recommender systems, as they are a generalization of matrix completion models.

This package provides:

• coordinate descent algorithm for fitting factorization machines of degree 2 or 3,
• coordinate descent algorithm for fitting polynomial networks of arbitrary degree,
• scikit-learn-compatible API,
• Cython implementations for computationally intensive parts.

Installation

Binary packages are not yet available.

The development version of polylearn can be installed from its git repository. In this case it is assumed that you have a working C++ compiler.

1. Obtain the sources by:

   git clone https://github.com/scikit-learn-contrib/polylearn.git

or, if git is unavailable, download as a ZIP from GitHub.

2. Install the dependencies:

   # via pip
   
   pip install numpy scipy scikit-learn nose
   pip install sklearn-contrib-lightning
   
   
   # via conda
   
   conda install numpy scipy scikit-learn nose
   conda install -c conda-forge sklearn-contrib-lightning

3. Build and install polylearn:

   cd polylearn
   python setup.py build
   sudo python setup.py install

References

The solvers implemented are introduced in¹. Factorization machines are introduced in² and polynomial networks in³.

Authors

• Vlad Niculae, 2016-present

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1. Mathieu Blondel, Masakazu Ishihata, Akinori Fujino, Naonori Ueda. Polynomial Networks and Factorization Machines: New Insights and Efficient Training Algorithms. In: Proc. of ICML 2016. [PDF]↩

2. Steffen Rendle. Factorization machines. In: Proc. of IEEE ICDM 2010. [PDF]↩

3. Roi Livni, Shai Shalev-Shwartz, Ohad Shamir. On the computational efficiency of training neural networks. In: Proc. of NIPS 2014. [arXiv]↩