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 (
Union
[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 (
Union
[str
,type
[Any
],dtype
,SupportsDType
]) – optional, a float dtype for the returned values (default float64 if jax_enable_x64 is true, otherwise float32).
- Return type:
- Returns:
A random array of shape (*shape, n, n) and specified dtype.