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torch.index_add

function index_add<S extends Shape, Dt extends DType, Dev extends DeviceType>(input: Tensor<S, Dt, Dev>, dim: number, index: Tensor, source: Tensor, options?: AlphaBetaOptions): Tensor<S, Dt, Dev>function index_add<S extends Shape, Dt extends DType, Dev extends DeviceType>(input: Tensor<S, Dt, Dev>, dim: number, index: Tensor, source: Tensor, alpha: number, options?: AlphaBetaOptions): Tensor<S, Dt, Dev>

Adds source elements to input at positions specified by 1D indices.

Similar to index_copy but accumulates (adds) values instead of replacing. Values at the same index position are summed. Useful for:

  • Accumulation: summing values at specific positions
  • Histogram computation: counting in bins
  • Sparse updates: adding to multiple positions
  • Weighted accumulation: adding scaled values
  • Aggregation: combining multiple sources at positions
  • Accumulation: Values at same index are summed
  • 1D indices: Index must be 1D
  • Scaling: Alpha parameter scales source before adding
  • Repeated indices: Same index can appear multiple times (values sum)
  • Index length: Must match source.shape[dim]
  • Repeated indices: Adding at same position multiple times accumulates

Parameters

inputTensor<S, Dt, Dev>
The input tensor
dimnumber
The dimension along which to index
indexTensor
1D tensor of indices (length must match source.shape[dim])
sourceTensor
The source tensor with values to add
optionsAlphaBetaOptionsoptional

Returns

Tensor<S, Dt, Dev>– A new tensor with source values accumulated into input

Examples

// Accumulation at specific positions
const base = torch.zeros(10, 5);
const indices = torch.tensor([0, 2, 4, 2, 0]);  // Can repeat
const values = torch.ones(5, 5);
const result = torch.index_add(base, 0, indices, values);
// Positions 0 and 2 get added values multiple times

// Weighted accumulation
const accumulator = torch.zeros(100, 64);
const selected_indices = torch.randint(0, 100, [50]);
const updates = torch.randn(50, 64);
const alpha = 0.1;  // Learning rate
const updated = torch.index_add(accumulator, 0, selected_indices, updates, alpha);

// Histogram binning
const histogram = torch.zeros(10);  // 10 bins
const bin_indices = torch.tensor([0, 1, 1, 2, 2, 2, 3]);  // Which bins
const counts = torch.ones(7);
const hist_result = torch.index_add(histogram, 0, bin_indices, counts);

See Also

  • PyTorch torch.index_add()
  • index_copy - Copy instead of add
  • index_reduce - Custom reduction operation
  • scatter_add - More flexible multi-D version
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