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

Github repository.

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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:


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 the git version control system, a working C++ compiler, Cython, lightning, and the numpy development libraries. In order to install the development version, type:

git clone https://github.com/scikit-learn-contrib/polylearn.git
cd polylearn
python setup.py build
sudo python setup.py install


The solvers implemented are introduced in [1]. Factorization machines are introduced in [2] and polynomial networks in [3].

[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]


  • Vlad Niculae, 2016-present