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torch.scatter_add

function scatter_add<S extends Shape, D extends number>(input: Tensor<S>, dim: D, index: Tensor, src: Tensor): Tensor<ScatterShape<S, D>>

Scatters values into a tensor by adding at specified indices.

Like scatter() but instead of replacing values, accumulates (adds) src values at the positions specified by index. Useful for:

  • Histogram computation: accumulating counts at specific bins
  • Attention accumulation: summing attention-weighted values
  • Feature aggregation: combining values from multiple sources
  • Graph message passing: aggregating node/edge messages
  • Reduce operations: summing values at repeated indices

If multiple source values map to the same index position, they are accumulated (summed).

  • Accumulation: Values at same index are summed
  • Multiple contributions: Supports many-to-one mapping
  • Initialization: Input values are preserved and accumulated with src

Parameters

inputTensor<S>
The input tensor (template/base values)
dimD
The dimension along which to index
indexTensor
The indices tensor specifying where to add src values
srcTensor
The source tensor with values to add

Returns

Tensor<ScatterShape<S, D>>– A new tensor with src values accumulated into input

Examples

// Histogram computation
const data = torch.tensor([1, 2, 2, 3, 3, 3, 4]);  // Binned data
const histogram = torch.zeros(5);  // Bins 0-4
const indices = torch.tensor([[1], [2], [2], [3], [3], [3], [4]]);  // Which bins
const ones = torch.ones(7, 1);
torch.scatter_add(histogram, 0, indices, ones);  // Count occurrences

// Attention accumulation
const values = torch.randn(10, 64);  // 10 values, 64 dimensions
const indices = torch.tensor([0, 1, 0, 2, 1, 0, 1, 2, 0, 1]);  // Which positions
const result = torch.scatter_add(torch.zeros(3, 64), 0, indices, values);
// Sums values at each position

// Aggregation with weights
const features = torch.randn(100, 64);
const weights = torch.randn(100, 1);
const node_indices = torch.randint(0, 10, [100, 1]);  // 100 features to 10 nodes
const aggregated = torch.scatter_add(torch.zeros(10, 64), 0, node_indices, features);

See Also

  • PyTorch torch.scatter_add()
  • scatter - Replace instead of accumulate
  • scatter_reduce - Custom reduction (sum, mean, max, etc.)
  • index_add - Simpler 1D accumulation
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