English

Higher-Order Factorization Machines

Machine Learning 2016-10-17 v2 Machine Learning

Abstract

Factorization machines (FMs) are a supervised learning approach that can use second-order feature combinations even when the data is very high-dimensional. Unfortunately, despite increasing interest in FMs, there exists to date no efficient training algorithm for higher-order FMs (HOFMs). In this paper, we present the first generic yet efficient algorithms for training arbitrary-order HOFMs. We also present new variants of HOFMs with shared parameters, which greatly reduce model size and prediction times while maintaining similar accuracy. We demonstrate the proposed approaches on four different link prediction tasks.

Keywords

Cite

@article{arxiv.1607.07195,
  title  = {Higher-Order Factorization Machines},
  author = {Mathieu Blondel and Akinori Fujino and Naonori Ueda and Masakazu Ishihata},
  journal= {arXiv preprint arXiv:1607.07195},
  year   = {2016}
}