PyTorch torch.addmm Function


Pytorch torch 参考手册PyTorch torch Reference Manual

torch.addmmis a function in PyTorch used to add the result of matrix multiplication to the input matrix. It performs the matrix multiplication of mat1 @ mat2, and then adds the result to input.

Function Definition

torch.addmm(input, mat1, mat2, *, beta=1.0, alpha=1.0, out=None)

Parameters:

  • input(Tensor): The input matrix, added to the result.
  • mat1(Tensor): The first matrix, with shape (n, m).
  • mat2(Tensor): The second matrix, with shape (m, p).
  • beta(float, optional): The coefficient multiplied by input, default is 1.0.
  • alpha(float, optional): The coefficient multiplied by the mat1 @ mat2 result, default is 1.0.
  • out(Tensor, optional): The output tensor.

Return Value:

  • torch.Tensor: Returns the sum of the matrix multiplication result and the input matrix, with shape (n, p).

Usage Example

Example

import torch

# Create the input matrix and two matrices
input = torch.randn(3, 3)
mat1 = torch.randn(3, 4)
mat2 = torch.randn(4, 3)

# Perform addmm
result = torch.addmm(input, mat1, mat2)

print("Input matrix shape:", input.shape)
print("Matrix 1 shape:", mat1.shape)
print("Matrix 2 shape:", mat2.shape)
print("Result shape:", result.shape)
print(result)

The output result is:

输入矩阵形状: torch.Size([3, 3])
矩阵1形状: torch.Size([3, 4])
矩阵2形状: torch.Size([4, 3])
结果形状: torch.Size([3, 3])
tensor([[ 0.4692, -0.2864, -0.6013],
        [ 1.5525,  0.1233, -0.0182],
        [-0.3956,  0.6267,  0.3580]])

Example - Using the alpha and beta parameters

import torch

input = torch.randn(3, 3)
mat1 = torch.randn(3, 4)
mat2 = torch.randn(4, 3)

# Use the alpha and beta parameters
result = torch.addmm(input, mat1, mat2, beta=0.5, alpha=2.0)

# Equivalent to: result = 0.5 * input + 2.0 * (mat1 @ mat2)
print(result)

Pytorch torch 参考手册PyTorch torch Reference Manual

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