This chapter provides an overview of recent results on cubature points in Grassmannians. We address several topics such as moment reconstruction, dimension reduction, and cubature points in Grassmannians for approximation tasks. We also provide some new results on the connection between cubatures and the concept of frames for polynomial spaces.
CITATION STYLE
Breger, A., Ehler, M., Gräf, M., & Peter, T. (2017). Cubatures on grassmannians: moments, dimension reduction, and related topics. In Applied and Numerical Harmonic Analysis (pp. 235–259). Springer International Publishing. https://doi.org/10.1007/978-3-319-69802-1_8
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