An Adaptive Divergence-Based Non-Negative Latent Factor Model
针对高维不完全矩阵数据，提出一种基于α-β散度的自适应非负潜在因子模型，通过粒子群优化自适应调整散度，在八个数据集上验证了其估计精度和计算效率优于现有模型。
A High-dimensional and incomplete (HDI) matrix is regularly adopted to portray the inherent non-negativity of interactions among numerous nodes, which is involved in countless industrial applications driven by big data. An inherently non-negative latent factor (LF) model can take out the intrinsical features from such data conveniently and effectually due to its unimpeded training process. However, it constructs the learning objective relying on a standard Euclidean distance, thereby seriously restricting its representative ability to HDI data generated by different domains. To address this issue, this work proposes an adaptive divergence-based non-negative LF (ADNLF) model following: 1) constructing a generalized objective function based on <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$\alpha - \beta $ </tex-math></inline-formula> -divergence to inflate its ability to represent various HDI data; 2) connecting the optimization variables with output LFs by a smooth and single LF-dependent bridging function to satisfy the non-negativity constraints constantly; and 3) facilitating adaptive divergence in the learning objective through particle swarm optimization for high scalability. Empirical studies on eight HDI matrices validate that an ADNLF model evidently outstrips state-of-the-art models in terms of estimation accuracy as well as computational efficiency for missing data of an HDI dataset.