in cpp/lltm.cpp [50:85]
std::vector<torch::Tensor> lltm_backward(
torch::Tensor grad_h,
torch::Tensor grad_cell,
torch::Tensor new_cell,
torch::Tensor input_gate,
torch::Tensor output_gate,
torch::Tensor candidate_cell,
torch::Tensor X,
torch::Tensor gate_weights,
torch::Tensor weights) {
auto d_output_gate = torch::tanh(new_cell) * grad_h;
auto d_tanh_new_cell = output_gate * grad_h;
auto d_new_cell = d_tanh(new_cell) * d_tanh_new_cell + grad_cell;
auto d_old_cell = d_new_cell;
auto d_candidate_cell = input_gate * d_new_cell;
auto d_input_gate = candidate_cell * d_new_cell;
auto gates = gate_weights.chunk(3, /*dim=*/1);
d_input_gate *= d_sigmoid(gates[0]);
d_output_gate *= d_sigmoid(gates[1]);
d_candidate_cell *= d_elu(gates[2]);
auto d_gates =
torch::cat({d_input_gate, d_output_gate, d_candidate_cell}, /*dim=*/1);
auto d_weights = d_gates.t().mm(X);
auto d_bias = d_gates.sum(/*dim=*/0, /*keepdim=*/true);
auto d_X = d_gates.mm(weights);
const auto state_size = grad_h.size(1);
auto d_old_h = d_X.slice(/*dim=*/1, 0, state_size);
auto d_input = d_X.slice(/*dim=*/1, state_size);
return {d_old_h, d_input, d_weights, d_bias, d_old_cell};
}