• Corpus ID: 226956076

An exact kernel framework for spatio-temporal dynamics

  title={An exact kernel framework for spatio-temporal dynamics},
  author={Oleg Szehr and Dario Azzimonti and Laura Azzimonti},
  journal={arXiv: Statistics Theory},
A kernel-based framework for spatio-temporal data analysis is introduced that applies in situations when the underlying system dynamics are governed by a dynamic equation. The key ingredient is a representer theorem that involves time-dependent kernels. Such kernels occur commonly in the expansion of solutions of partial differential equations. The representer theorem is applied to find among all solutions of a dynamic equation the one that minimizes the error with given spatio-temporal samples… 


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