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Convolutional regression for big spatial data

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  • Yasumasa Matsuda
  • Xin Yuan

Abstract

Recently it is common to collect big spatial data on a national or continental scale at discrete time points. This paper aims at a regression model when both dependent and independent variables are big spatial data. Regarding spatial data as functions over a region, we propose a functional regression by a parametric convolution kernel together with the least squares estimation on the frequency domain by applying Fourier transform. It can handle massive datasets with asymptotic validations under the mixed asymptotics. The regression is applied to Covid-19 weekly new cases and human mobility collected in city levels all over Japan to find that an increase of human mobility is followed by an increase of Covid-19 new cases in time lag of two weeks.

Suggested Citation

  • Yasumasa Matsuda & Xin Yuan, 2022. "Convolutional regression for big spatial data," DSSR Discussion Papers 124, Graduate School of Economics and Management, Tohoku University.
  • Handle: RePEc:toh:dssraa:124
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    File URL: http://hdl.handle.net/10097/00133836
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