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# Linear¶

class torch.nn.Linear(in_features, out_features, bias=True, device=None, dtype=None)[source]

Applies a linear transformation to the incoming data: $y = xA^T + b$

This module supports TensorFloat32.

Parameters
• in_features – size of each input sample

• out_features – size of each output sample

• bias – If set to False, the layer will not learn an additive bias. Default: True

Shape:
• Input: $(*, H_{in})$ where $*$ means any number of dimensions including none and $H_{in} = \text{in\_features}$.

• Output: $(*, H_{out})$ where all but the last dimension are the same shape as the input and $H_{out} = \text{out\_features}$.

Variables
• ~Linear.weight (torch.Tensor) – the learnable weights of the module of shape $(\text{out\_features}, \text{in\_features})$. The values are initialized from $\mathcal{U}(-\sqrt{k}, \sqrt{k})$, where $k = \frac{1}{\text{in\_features}}$

• ~Linear.bias – the learnable bias of the module of shape $(\text{out\_features})$. If bias is True, the values are initialized from $\mathcal{U}(-\sqrt{k}, \sqrt{k})$ where $k = \frac{1}{\text{in\_features}}$

Examples:

>>> m = nn.Linear(20, 30)
>>> input = torch.randn(128, 20)
>>> output = m(input)
>>> print(output.size())
torch.Size([128, 30]) ## Docs

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