Adaptive Supervised Learning on Data Streams in Reproducing Kernel Hilbert Spaces with Data Sparsity Constraint

Stat. 2023 Jan-Dec;12(1):e514. doi: 10.1002/sta4.514. Epub 2022 Oct 11.


Data are generated at an unprecedented rate and scale these days across many disciplines. The field of streaming data analysis has emerged as a result of new data collection and storage technologies in various areas, such as air pollution monitoring, detection of traffic congestion, disease surveillance, and recommendation systems. In this paper, we consider the problem of model estimation for data streams in reproducing kernel Hilbert spaces. We propose an adaptive supervised learning method with a data sparsity constraint that uses limited storage spaces and can handle non-stationary models. We demonstrate the competitive performance of the proposed method using simulations and analysis of the bike sharing dataset.

Keywords: Algorithms; Data stream; Kernel regression; Machine learning; Reproducing kernel Hilbert space; Sparsity; Statistical learning.