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torch.js· 2026
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torch.addcmul

function addcmul(input: unknown, tensor1: unknown, tensor2: unknown, valueOrOptions: unknown, options: unknown): Tensor

Performs element-wise multiplication then adds to input: result = input + value * (tensor1 * tensor2).

Efficiently combines scaled multiplication with accumulation. Essential for:

  • Optimizer implementations: SGD with momentum, Adam (m update), gradient accumulation
  • Momentum/velocity: Exponential moving averages in optimizers
  • Gate mechanisms: Applying learned gates (attention, multiplicative attention)
resulti=inputi+value⋅(tensor1i⋅tensor2i)result_i = input_i + value \cdot (tensor1_i \cdot tensor2_i)resulti​=inputi​+value⋅(tensor1i​⋅tensor2i​)
  • Fused operation: Combined multiplication+addition for efficiency
  • Memory efficient: No intermediate tensor from multiplication
  • Commutative: tensor1 * tensor2 = tensor2 * tensor1

Parameters

inputunknown
The input tensor (accumulator)
tensor1unknown
The first tensor to multiply
tensor2unknown
The second tensor to multiply
valueOrOptionsunknown
Scaling factor (default: 1) or options object
optionsunknown
Optional settings including out and value parameters

Returns

Tensor– Tensor with shape = broadcast(input, tensor1*tensor2)

Examples

// Basic usage
const input = torch.tensor([10, 20, 30]);
const t1 = torch.tensor([2, 3, 4]);
const t2 = torch.tensor([5, 2, 1]);
torch.addcmul(input, t1, t2);  // [20, 26, 34]

// Adam first moment update
const m = torch.zeros([100]);
const grad = torch.randn([100]);
const beta1 = 0.9;
m.mul_(beta1);
torch.addcmul(m, grad, torch.ones_like(grad), 1 - beta1);

See Also

  • PyTorch torch.addcmul()
  • addcdiv - Similar with division instead of multiplication
  • mul - Simple multiplication
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