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torch.addr — PyTorch 2.7 documentation

torch.addr(input, vec1, vec2, *, beta=1, alpha=1, out=None) → Tensor¶

Performs the outer-product of vectors vec1 and vec2 and adds it to the matrix input.

Optional values beta and alpha are scaling factors on the outer product between vec1 and vec2 and the added matrix input respectively.

out = β  input + α   ( vec1 ⊗ vec2 ) \text{out} = \beta\ \text{input} + \alpha\ (\text{vec1} \otimes \text{vec2}) out=β input+α (vec1⊗vec2)

If beta is 0, then the content of input will be ignored, and nan and inf in it will not be propagated.

If vec1 is a vector of size n and vec2 is a vector of size m, then input must be broadcastable with a matrix of size ( n × m ) (n \times m) (n×m) and out will be a matrix of size ( n × m ) (n \times m) (n×m).

Parameters

• input (Tensor) – matrix to be added

• vec1 (Tensor) – the first vector of the outer product

• vec2 (Tensor) – the second vector of the outer product

Keyword Arguments

• beta (Number, optional) – multiplier for input ( β \beta β)

• alpha (Number, optional) – multiplier for vec1 ⊗ vec2 \text{vec1} \otimes \text{vec2} vec1⊗vec2 ( α \alpha α)

• out (Tensor, optional) – the output tensor.

Example:

>>> vec1 = torch.arange(1., 4.)
>>> vec2 = torch.arange(1., 3.)
>>> M = torch.zeros(3, 2)
>>> torch.addr(M, vec1, vec2)
tensor([[ 1.,  2.],
        [ 2.,  4.],
        [ 3.,  6.]])

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