nn_bilinear: Bilinear module

In torch: Tensors and Neural Networks with 'GPU' Acceleration

Bilinear module

Description

Applies a bilinear transformation to the incoming data y = x_1^T A x_2 + b

Usage

nn_bilinear(in1_features, in2_features, out_features, bias = TRUE)

Arguments

in1_features	size of each first input sample
in2_features	size of each second 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

• Input1: (N, *, H_{in1}) H_{in1}=\mbox{in1\_features} and * means any number of additional dimensions. All but the last dimension of the inputs should be the same.

• Input2: (N, *, H_{in2}) where H_{in2}=\mbox{in2\_features}.

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

Attributes

• weight: the learnable weights of the module of shape (\mbox{out\_features}, \mbox{in1\_features}, \mbox{in2\_features}). The values are initialized from \mathcal{U}(-\sqrt{k}, \sqrt{k}), where k = \frac{1}{\mbox{in1\_features}}

• bias: the learnable bias of the module of shape (\mbox{out\_features}). If bias is TRUE, the values are initialized from \mathcal{U}(-\sqrt{k}, \sqrt{k}), where k = \frac{1}{\mbox{in1\_features}}

Examples

if (torch_is_installed()) {
m <- nn_bilinear(20, 30, 50)
input1 <- torch_randn(128, 20)
input2 <- torch_randn(128, 30)
output <- m(input1, input2)
print(output$size())
}

torch documentation built on June 7, 2023, 6:19 p.m.