Electricity Consumption Data Cleansing and Imputation Based on Robust Nonnegative Matrix Factorization
Given the quality problems of noise, outlier, and loss in the collection and transmission of electricity consumption data under operating conditions, low eigenvalue and sparse outlier of the spatiotemporal distribution of electricity consumption data of a single user are used, and then a unified processing framework for data missing filling, noise reduction, and outlier elimination based on the low-rank matrix completion is proposed. Firstly, because of the huge differences in actual multi-user electricity consumption scenarios and characteristics, a data matrix with low-rank characteristics is constructed only according to the inherent similarity of a single user's electricity consumption behavior. Furthermore,considering the effects of additive background noise such as column and sparse anomalies, a non-negative matrix complete optimization model with low rank lifting regular constraints is constructed. Finally, the iterative least square method is used to solve the optimization problem to fill in the missing data and eliminate the multiple background noise. The effectiveness and accuracy of the proposed algorithm are verified by simulation and experimental results.
国家科技期刊平台
NSTL
万方数据
维普
