混合因子矩阵分解推荐算法

赵长伟 1; 2; 彭勤科 1; 张志勇 2

doi:10.7652/xjtuxb201612014

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混合因子矩阵分解推荐算法

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- 混合因子矩阵分解推荐算法
- A Matrix Factorization Algorithm with Hybrid Implicit and Explicit Attributes for Recommender Systems
- 西安交通大学学报 2016年50卷第12期页码：87-91
- 作者机构：
  
  1. 西安交通大学电子与信息工程学院,西安,710049
  2. 河南科技大学信息工程学院,河南,洛阳,471023
- 作者简介：
- 基金信息：
  
  : 2016-05-30。作者简介: 赵长伟(1971—),男,博士生;彭勤科(通信作者),男,教授,博士生导师。基金项目: 国家自然科学基金资助项目(61370220);河南省高校科技创新团队支持计划资助项目(15IRTSTHN010)
- DOI：10.7652/xjtuxb201612014
  中图分类号： G558;TP393
- 网络首发：2016-12-10，
  
  纸质出版：2016
- 稿件说明：
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赵长伟 1, 2, 彭勤科 1, 等. 混合因子矩阵分解推荐算法[J]. 西安交通大学学报, 2016,50(12):87-91.

A Matrix Factorization Algorithm with Hybrid Implicit and Explicit Attributes for Recommender Systems[J]. 2016, 50(12): 87-91.
赵长伟 1, 2, 彭勤科 1, 等. 混合因子矩阵分解推荐算法[J]. 西安交通大学学报, 2016,50(12):87-91. DOI： 10.7652/xjtuxb201612014.

A Matrix Factorization Algorithm with Hybrid Implicit and Explicit Attributes for Recommender Systems[J]. 2016, 50(12): 87-91. DOI： 10.7652/xjtuxb201612014.

摘要

针对矩阵分解推荐算法在潜在属性与已知属性之间不能建立对应关系的问题

提出了一种混合显式属性与隐式属性的矩阵分解算法。该算法使用显式属性的相关性对因子矩阵进行约束

能够抑制稀疏数据矩阵分解中过拟合的问题

提高推荐精度

由于因子矩阵中包含显式属性

所以混合因子矩阵分解算法可以实现对新用户和新产品推荐

部分地解决了冷启动问题

实现了从评分数据到显式属性的映射

并对推荐结果给出一定的解释。在MovieLens数据集上的实验结果表明:相同因子数下

混合因子矩阵分解算法的推荐精度均优于偏置概率矩阵分解算法

并能够基于显式属性实现对新产品的推荐。

Abstract

A novel hybrid matrix factorization algorithm(HMF)is proposed to solve the problem that the correlation between latent factors and explicit attributes can not be established in traditional matrix factorization methods. The algorithm combines implicit and explicit attributes and uses correlations among explicit attributes to constrain factor matrixes

and to relieve the over fitting in sparse data matrix decomposition. Since factor matrixes include explicit attributes

HMF is used to solve the problem of cold start and to recommend new items. HMF realizes mapping from rating matrix to weights of explicit attributes and offers an interpretation for recommender items. Experiment on MovieLens datasets shows that the accuracy of HMF is superior to that of BPMF for same number of factors

and HMF can be used to recommend new items based on explicit attributes.

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references

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