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torch.scatter_reduce

function scatter_reduce<S extends Shape, D extends number>(input: Tensor<S>, dim: D, index: Tensor, src: Tensor, reduce: 'sum' | 'prod' | 'mean' | 'amax' | 'amin', options?: ScatterReduceOptions): Tensor<ScatterShape<S, D>>function scatter_reduce<S extends Shape, D extends number>(input: Tensor<S>, dim: D, index: Tensor, src: Tensor, reduce: 'sum' | 'prod' | 'mean' | 'amax' | 'amin', include_self: boolean, options?: ScatterReduceOptions): Tensor<ScatterShape<S, D>>

Scatters values with custom reduction operation at specified indices.

Combines scatter() and scatter_add() with custom reduction operations. For each index position, applies the specified reduction (sum, mean, min, max, prod) to combine multiple source values. Useful for:

  • Custom aggregation: mean/max pooling at positions
  • Graph networks: flexible message aggregation
  • Flexible histograms: reduce with operations other than sum
  • Multi-source fusion: combining values with custom rules
  • Robust aggregation: using min/max for outlier-resistant combining
  • Reduction types: sum, mean, amax (max), amin (min), prod (product)
  • include_self: If true, original input values participate in reduction
  • Multiple contributors: Multiple index values can map to same position
  • Accumulation: Results accumulate when same index appears multiple times
  • Reduce type: Must be one of specified operations
  • Type compatibility: Reduction may have numerical implications (e.g., mean vs sum)

Parameters

inputTensor<S>
The input tensor (acts as template for shape)
dimD
The dimension along which to index
indexTensor
The indices tensor specifying where to reduce src
srcTensor
The source tensor with values to reduce
reduce'sum' | 'prod' | 'mean' | 'amax' | 'amin'
Reduction operation: 'sum'|'prod'|'mean'|'amax'|'amin'
optionsScatterReduceOptionsoptional

Returns

Tensor<ScatterShape<S, D>>– A new tensor with reduced values

Examples

// Mean pooling by position
const values = torch.randn(10, 64);
const pool_indices = torch.tensor([0, 1, 0, 2, 1, 0, 1, 2, 0, 1]);  // Which positions
const output = torch.zeros(3, 64);
const mean_pooled = torch.scatter_reduce(output, 0, pool_indices, values, 'mean');

// Max pooling (robust to outliers)
const logits = torch.randn(100, 10);
const group_indices = torch.randint(0, 20, [100, 1]);  // 100 logits to 20 groups
const max_logits = torch.scatter_reduce(
  torch.full([20, 10], -Infinity), 0, group_indices, logits, 'amax'
);

// Product reduction
const factors = torch.randn(50);
const indices = torch.randint(0, 5, [50]);  // 50 values to 5 positions
const products = torch.scatter_reduce(torch.ones(5), 0, indices, factors, 'prod');

See Also

  • PyTorch torch.scatter_reduce()
  • scatter - Simple replacement scatter
  • scatter_add - Sum-specific scatter (equivalent to reduce='sum')
  • scatter_add_ - In-place scatter_add
  • index_reduce - Simpler 1D scatter_reduce
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