Kernel Two-Sample and Independence Tests for Nonstationary Random Processes

@article{Laumann2021KernelTA,
  title={Kernel Two-Sample and Independence Tests for Nonstationary Random Processes},
  author={Felix Laumann and Julius von K{\"u}gelgen and Mauricio Barahona},
  journal={Engineering Proceedings},
  year={2021}
}
Two-sample and independence tests with the kernel-based mmd and hsic have shown remarkable results on i.i.d. data and stationary random processes. However, these statistics are not directly applicable to nonstationary random processes, a prevalent form of data in many scientific disciplines. In this work, we extend the application of mmd and hsic to nonstationary settings by assuming access to independent realisations of the underlying random process. These realisations—in the form of… Expand

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