Nonparametric Methods for Big Data Analytics
Nonparametric methods provide more flexible tools than parametric methods for modeling complex systems and discovering nonlinear patterns hidden in data. Traditional nonparametric methods are challenged by modern high dimensional data due to the curse of dimensionality. Over the past two decades, there have been rapid advances in nonparametrics to accommodate analysis of large-scale and high dimensional data. A variety of cutting-edge nonparametric methodologies, scalable algorithms, and the state-of-the-art computational tools have been designed for model estimation, variable selection, statistical inferences for high dimensional regression, and classification problems. This chapter provides an overview of recent advances on nonparametrics in big data analytics.