High-Dimensional and Incomplete (HDI) data is commonly encountered in big
data-related applications like social network services systems, which are
concerning the limited interactions among numerous nodes. Knowledge acquisition
from HDI data is a vital issue in the domain of data science due to their
embedded rich patterns like node behaviors, where the fundamental task is to
perform HDI data representation learning. Nonnegative Latent Factor Analysis
(NLFA) models have proven to possess the superiority to address this issue,
where a linear bias incorporation (LBI) scheme is important in present the
training overshooting and fluctuation, as well as preventing the model from
premature convergence. However, existing LBI schemes are all statistic ones
where the linear biases are fixed, which significantly restricts the
scalability of the resultant NLFA model and results in loss of representation
learning ability to HDI data. Motivated by the above discoveries, this paper
innovatively presents the dynamic linear bias incorporation (DLBI) scheme. It
firstly extends the linear bias vectors into matrices, and then builds a binary
weight matrix to switch the active/inactive states of the linear biases. The
weight matrix's each entry switches between the binary states dynamically
corresponding to the linear bias value variation, thereby establishing the
dynamic linear biases for an NLFA model. Empirical studies on three HDI
datasets from real applications demonstrate that the proposed DLBI-based NLFA
model obtains higher representation accuracy several than state-of-the-art
models do, as well as highly-competitive computational efficiency.

该论文介绍了一种动态线性偏差融合方案，用于高维且不完整数据的表征学习，通过将线性偏差向量扩展为矩阵，并建立二进制权重矩阵来动态切换线性偏差的状态，实现了非负潜在因子分析模型的动态线性偏差。实证研究表明，基于该方案的模型在三个真实应用领域的高维且不完整数据集上获得了较高的表征准确度，并具有高竞争力的计算效率。