jax.random.orthogonal#
- jax.random.orthogonal(key, n, shape=(), dtype=<class 'float'>)[source]#
Sample uniformly from the orthogonal group O(n).
If the dtype is complex, sample uniformly from the unitary group U(n).
- Parameters:
key (Array | ndarray | bool_ | number | bool | int | float | complex) – a PRNG key used as the random key.
n (int) – an integer indicating the resulting dimension.
shape (Sequence[int]) – optional, the batch dimensions of the result. Default ().
dtype (str | type[Any] | dtype | SupportsDType) – optional, a float dtype for the returned values (default float64 if jax_enable_x64 is true, otherwise float32).
- Returns:
A random array of shape (*shape, n, n) and specified dtype.
- Return type: