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torch.count_nonzero

function count_nonzero<S extends Shape, D extends DType, Dev extends DeviceType>(input: Tensor<S, D, Dev>, options?: CountNonzeroOptions): Tensor<DynamicShape, D, Dev>function count_nonzero<S extends Shape, D extends DType, Dev extends DeviceType>(input: Tensor<S, D, Dev>, dim: number): Tensor<DynamicShape, D, Dev>

Counts the number of non-zero values in a tensor.

Counts how many elements are non-zero (not equal to 0). Useful for:

  • Sparsity analysis: how sparse is a tensor? (fraction of zeros)
  • Data validation: how many valid (non-zero) values exist?
  • Feature selection: which features have non-zero values?
  • Model debugging: checking weight sparsity and activation patterns
  • Memory efficiency: estimating compressed storage requirements
  • Data quality: finding completely empty dimensions or batches

Counts elements where value ≠ 0. Works with any dtype (int, float, bool). For floating point, small near-zero values (like 1e-10) still count as non-zero.

  • Works with any dtype: Counts non-zero for int, float, bool, complex
  • Floating point precision: 1e-10 is still non-zero (uses != not absolute threshold)
  • Boolean tensors: true (1) counts as non-zero, false (0) does not
  • Global vs per-dim: Without dim returns scalar, with dim returns tensor
  • Useful for sparsity: Combined with total size gives sparsity ratio
  • Floating point quirk: Very small values (1e-30) still count as non-zero
  • Not a threshold: Use with comparison (abs().gt()) for threshold-based counting
  • Performance: Scanning entire tensor, O(n) where n is total elements

Parameters

inputTensor<S, D, Dev>
The input tensor (any dtype, any shape)
optionsCountNonzeroOptionsoptional

Returns

Tensor<DynamicShape, D, Dev>– - If dim is undefined: Scalar tensor with total count of non-zero elements - If dim is specified: Tensor with counts per slice along that dimension

Examples

// Count all non-zero elements
const x = torch.tensor([[0, 1, 2], [3, 0, 4]]);
torch.count_nonzero(x);      // 5 (scalar)
torch.count_nonzero(x, 0);   // [1, 1, 2] - non-zero per column
torch.count_nonzero(x, 1);   // [2, 2] - non-zero per row

// Sparsity analysis: what fraction is non-zero?
const matrix = torch.randn(1000, 1000);
const sparse_mask = matrix.abs().lt(0.5);
const nonzero_count = torch.count_nonzero(sparse_mask.logical_not());
const sparsity = 1 - nonzero_count.item() / (1000 * 1000);

// Feature validation: which features have any non-zero values?
const batch = torch.randn(32, 256);
const feature_activity = torch.count_nonzero(batch, 0);  // [256]
const dead_features = feature_activity.eq(0);  // All zeros?

// Activation sparsity in neural networks
const activations = torch.relu(torch.randn(32, 512));  // ReLU sparsity
const active_units = torch.count_nonzero(activations, 0);  // [512]
const sparsity_ratio = 1 - active_units.float().div(32);

// Data quality: checking for empty samples
const data = torch.randn(100, 50);
data.masked_fill_(data.lt(0), 0);  // Zero out negative values
const empty_rows = torch.count_nonzero(data, 1).eq(0);  // [100] - which rows are all zero?

// Compressed format efficiency: estimating storage
const sparse_tensor = torch.randn(5000, 5000);
sparse_tensor.masked_fill_(sparse_tensor.abs().lt(0.1), 0);  // Zero out small values
const nonzero = torch.count_nonzero(sparse_tensor).item();
const compression_ratio = nonzero / (5000 * 5000);  // ~2.8% for this example

See Also

  • PyTorch torch.count_nonzero()
  • nonzero - Get indices of non-zero elements (not just count)
  • sum - Sum values (different from counting non-zero)
  • numel - Total number of elements (use to compute sparsity ratio)
  • where - Conditional value selection based on zero/non-zero
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