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torch.nonzero

function nonzero<S extends Shape, D extends DType, Dev extends DeviceType>(input: Tensor<S, D, Dev>, options?: NonzeroOptions): Promise<Tensor | Tensor[]>function nonzero<S extends Shape, D extends DType, Dev extends DeviceType>(input: Tensor<S, D, Dev>, as_tuple: boolean, options?: NonzeroOptions): Promise<Tensor | Tensor[]>

Returns indices of all non-zero elements in a tensor.

Finds all positions where tensor values are non-zero. Can return results in two formats: a 2-D tensor of coordinates (default) or a tuple of 1-D coordinate arrays (one per dimension). Useful for finding sparse tensor locations, extracting non-zero elements, and working with conditional masks. Essential for:

  • Sparse data handling: Locating non-zero values in sparse tensors or weight matrices
  • COO format conversion: Converting dense to sparse coordinate format
  • Conditional indexing: Finding where a condition is true (e.g., gradients > 0)
  • Activation analysis: Which neurons/weights are active (non-zero)
  • Data extraction: Getting positions of important values above threshold
  • Sparse updates: Identifying which elements to update in sparse operations

Note: This is an async function because it requires reading data from GPU to CPU.

  • Async function: Requires GPU→CPU data transfer, so it's async (must await)
  • Output dtype: Always returns int32 indices, regardless of input dtype
  • Empty tensor: Returns shape [0, D] if no non-zero elements (empty coordinates)
  • Format flexibility: as_tuple=true is useful for working with separate coordinate arrays
  • Performance: Reading all data to CPU can be slow for large tensors; consider sparse operations
  • GPU transfer: This function requires reading all data from GPU, which can be slow
  • Memory overhead: Returns indices as int32 arrays, potentially large for dense tensors

Parameters

inputTensor<S, D, Dev>
The input tensor (any shape, any dtype)
optionsNonzeroOptionsoptional
Optional settings for nonzero

Returns

Promise<Tensor | Tensor[]>– Promise resolving to either: - Tensor of shape [N, D] where N=number of non-zero elements, D=number of dimensions (as_tuple=false) - Array of D tensors, each of shape [N], one per dimension (as_tuple=true)

Examples

// Find all non-zero positions in a matrix
const x = torch.tensor([[1, 0, 0], [0, 2, 0], [0, 0, 3]]);

// Return as 2-D coordinate tensor (N × D)
const coords = await torch.nonzero(x);
// [[0, 0], [1, 1], [2, 2]] - shape [3, 2]

// Return as tuple of 1-D tensors (one per dimension)
const [rows, cols] = await torch.nonzero(x, { as_tuple: true });
// rows: [0, 1, 2]
// cols: [0, 1, 2]

// Find activations above threshold
const activations = torch.randn(10, 20);
const activeIndices = await torch.nonzero(activations.gt(0));
console.log(`Active neurons: ${activeIndices.shape[0]}`);

// Convert to sparse format (row indices, col indices, values)
const sparse = torch.tensor([[1, 0, 2], [0, 5, 0], [0, 0, 3]]);
const [row_idx, col_idx] = await torch.nonzero(sparse, { as_tuple: true });
const values = sparse[row_idx, col_idx];  // Get values at non-zero positions

See Also

  • PyTorch torch.nonzero()
  • where - Get values and indices where condition is true
  • argwhere - Alternative: always returns 2-D tensor format
  • masked_select - Extract non-zero values without indices
  • sparse_coo_tensor - Create sparse tensor from indices and values
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