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

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.

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.

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.

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

Build and install polylearn:

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] |