torch.lstsq用法
## Usage of `torch.lstsq`。
`torch.lstsq` function in PyTorch is used to compute the least squares solution of a linear matrix equation. It can solve systems of linear equations where the number of equations is larger or equal to the number of variables.
The general form of a linear matrix equation is:
Ax = b.
where `A` is an `m x n` matrix, `x` is an `n x 1` vector of unknowns, and `b` is an `m x 1` vector of observations.
`torch.lstsq` function takes as input a tensor `A` of shape `(m, n)` and a tensor `b` of shape `(m, k)`, where `k` is the number of solutions to be computed. It returns a tensor `x` of shape `(n, k)` containing the least squares solutions to the system of equations.
The function has the following syntax:
python.
torch.lstsq(A, b, driver='gels')。
where:
`A` Input tensor of shape `(m, n)` representing the coefficient matrix.
`b` Input tensor of shape `(m, k)` representing the observations.
`driver` (optional) String specifying the linear solver to use. Options are "gels" (default) and "gelsy".
The following code shows an example of how to use `torch.lstsq` to solve a system of linear equations:
python.
import torch.
A = torch.randn(10, 5)。
b = torch.randn(10, 3)。sort of torch翻译
# Compute the least squares solution.
x, residuals, rank, singular_values = torch.lstsq(A, b)。
# Print the solution.
print(x)。
## 中文回答:
torch.lstsq 的用法。
PyTorch 中的 `torch.lstsq` 函数用于计算线性矩阵方程的最小二乘解。它可以求解方程组中方程数大于或等于变量数的情况。
线性矩阵方程的一般形式为:
Ax = b.
其中 `A` 是 `m x n` 矩阵,`x` 是 `n x 1` 未知量向量,`b` 是 `m x 1` 观测值向量。
`torch.lstsq` 函数的输入是形状为 `(m, n)` 的张量 `A` 和形状为 `(m, k)` 的张量 `b`,其中 `k` 是要计算的解的数量。它返回形状为 `(n, k)` 的张量 `x`,其中包含方程组的最小二乘解。
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