i need to sample the N-dimensional subspaces of a M-dimensional linear space over C uniformly.(adsbygoogle = window.adsbygoogle || []).push({});

That is, all subspaces are sampled with equal probability

how should i do it?

would this work? First generate a M*N matrix, the real and imaginary parts of each element is sampled from the normal distribution. Then by using QR decomposition, i can get N orthonormal vectors, which span a N-dimensional subspace. Take it.

**Physics Forums - The Fusion of Science and Community**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# How to sample subspaces uniformly

Loading...

Similar Threads - sample subspaces uniformly | Date |
---|---|

I Standard Deviation Versus Sample Size & T-Distribution | Dec 20, 2017 |

A Akaike information small sample AICc | Dec 8, 2017 |

I Help with sample size to measure Form Error of a round metal part | Oct 29, 2017 |

I Generating a random sample with a standard deviation | Aug 11, 2017 |

Dimension of an intersection between a random subspace and a fixed subspace | Mar 15, 2012 |

**Physics Forums - The Fusion of Science and Community**