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torch.addcdiv

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

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

Efficiently combines scaling-by-division with accumulation. Essential for:

  • Optimizer implementations: Adam, RMSprop use addcdiv for adaptive gradient scaling
  • Normalization: Dividing by variance/std then accumulating
  • Adaptive methods: Scaling gradients by running second-moment estimates
resulti=inputi+value⋅tensor1itensor2iresult_i = input_i + value \cdot \frac{tensor1_i}{tensor2_i}resulti​=inputi​+value⋅tensor2i​tensor1i​​
  • Fused operation: Combined division+addition for efficiency
  • Memory efficient: No intermediate tensor from division
Division by zero produces infinity/NaN

Parameters

inputunknown
The input tensor (accumulator)
tensor1unknown
The numerator tensor
tensor2unknown
The denominator tensor
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([1, 2, 3]);
const num = torch.tensor([4, 6, 8]);
const den = torch.tensor([2, 3, 4]);
torch.addcdiv(input, num, den);  // [3, 4, 5]

// Adam optimizer update (simplified)
const param = torch.randn([100]);
const m = torch.randn([100]);  // First moment
const v = torch.randn([100]).abs();  // Second moment
torch.addcdiv(param, m, v.sqrt().add(1e-8), -0.001);

See Also

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