torch.var_mean

torch.var_mean(input, unbiased=True) -> (Tensor, Tensor)

Returns the variance and mean of all elements in the input tensor.

If unbiased is False, then the variance will be calculated via the biased estimator. Otherwise, Bessel’s correction will be used.

Parameters

• input (Tensor) – the input tensor.
• unbiased (bool) – whether to use the unbiased estimation or not

Example:

>>> a = torch.randn(1, 3)
>>> a
tensor([[0.0146, 0.4258, 0.2211]])
>>> torch.var_mean(a)
(tensor(0.0423), tensor(0.2205))

torch.var_mean(input, dim, keepdim=False, unbiased=True) -> (Tensor, Tensor)

Returns the variance and mean of each row of the input tensor in the given dimension dim.

If keepdim is True, the output tensor is of the same size as input except in the dimension(s) dim where it is of size 1. Otherwise, dim is squeezed (see torch.squeeze()), resulting in the output tensor having 1 (or len(dim)) fewer dimension(s).

If unbiased is False, then the variance will be calculated via the biased estimator. Otherwise, Bessel’s correction will be used.

Parameters

• input (Tensor) – the input tensor.
• dim (int or tuple of python:ints) – the dimension or dimensions to reduce.
• keepdim (bool) – whether the output tensor has dim retained or not.
• unbiased (bool) – whether to use the unbiased estimation or not

Example:

>>> a = torch.randn(4, 4)
>>> a
tensor([[-1.5650,  2.0415, -0.1024, -0.5790],
        [ 0.2325, -2.6145, -1.6428, -0.3537],
        [-0.2159, -1.1069,  1.2882, -1.3265],
        [-0.6706, -1.5893,  0.6827,  1.6727]])
>>> torch.var_mean(a, 1)
(tensor([2.3174, 1.6403, 1.4092, 2.0791]), tensor([-0.0512, -1.0946, -0.3403,  0.0239]))