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torch.atleast_2d

function atleast_2d(input: Tensor): void

Returns a tensor with at least 2 dimensions.

Ensures input tensors have at least 2 dimensions. Useful for:

  • Matrix operations: Functions requiring 2D or higher inputs
  • Batch dimension addition: Converting 1D vectors to [1, N] for batch processing
  • Linear algebra: Preparing inputs for matrix multiplication
  • Uniform shape enforcement: Standardizing tensor ranks across pipelines

Reshaping rules:

  • 0D (scalar): Reshaped to [1, 1]
  • 1D (vector): Reshaped to [1, N] to add batch dimension
  • 2D or higher: Returned unchanged
atleast_2d(x)={[[x]]if dim(x)=0[x]if dim(x)=1xif dim(x)≥2\begin{aligned} \text{atleast\_2d}(x) = \begin{cases} [[x]] & \text{if } \text{dim}(x) = 0 \\ [x] & \text{if } \text{dim}(x) = 1 \\ x & \text{if } \text{dim}(x) \geq 2 \end{cases} \end{aligned}atleast_2d(x)=⎩⎨⎧​[[x]][x]x​if dim(x)=0if dim(x)=1if dim(x)≥2​​
  • 1D becomes [1, N]: A 1D vector of shape [N] becomes [1, N] (row vector), not [N, 1] (column vector). This preserves the original dimensionality.
  • Scalar becomes [1, 1]: A 0D scalar becomes a 1×1 matrix, useful for operations that need explicit 2D structure.
  • Zero-copy for higher dims: Tensors that are already 2D or higher are returned unchanged with no reshape overhead.
  • Matrix compatibility: After atleast_2d, you can reliably use matrix operations like matmul, transpose, determinant, etc.
  • 1D reshaping direction: 1D vectors are always reshaped to row vectors [1, N]. If you need column vectors [N, 1], use unsqueeze or reshape directly.
  • Broadcasting gotcha: A 1D vector of shape [N] becomes [1, N]. When broadcasting with a 2D matrix of shape [M, N], it will broadcast along the first dimension.

Parameters

inputTensor
The input tensor (any dimensions, including 0D and 1D)

Returns

Tensor with at least 2 dimensions: - 0D tensors become shape [1, 1] - 1D tensors of shape [N] become [1, N] - Higher-dimensional tensors are unchanged

Examples

// Scalar becomes [1, 1]
const scalar = torch.tensor(42);
torch.atleast_2d(scalar);  // Shape [1, 1]

// 1D vector becomes [1, N] (adds batch dimension)
const vec = torch.tensor([1, 2, 3]);
torch.atleast_2d(vec);     // Shape [1, 3]

// 2D matrix unchanged
const matrix = torch.tensor([[1, 2], [3, 4]]);
torch.atleast_2d(matrix);  // Shape [2, 2], unchanged
// Batch single sample for processing
const single_sample = torch.randn([784]);  // Single MNIST image
const batched = torch.atleast_2d(single_sample);  // [1, 784]

// Now compatible with batch processing functions
const output = model(batched);  // Expects batch dimension
// Matrix multiplication with vector safety
function safe_matmul(a: Tensor, b: Tensor): Tensor {
  const a_2d = torch.atleast_2d(a);
  const b_2d = torch.atleast_2d(b);
  // Both guaranteed to be at least 2D
  return a_2d.matmul(b_2d);
}
// Feature normalization pipeline
const features = torch.tensor([1.0, 2.0, 3.0]);  // 1D: [3]
const normalized = torch.atleast_2d(features);   // [1, 3]

const mean = torch.mean(normalized, 1, true);    // [1, 1] - feature means
const std = torch.std(normalized, 1, true);      // [1, 1] - feature stds
const standardized = (normalized - mean) / std;  // Broadcasting works correctly

See Also

  • PyTorch torch.atleast_2d()
  • atleast_1d - Ensure at least 1 dimension
  • atleast_3d - Ensure at least 3 dimensions
  • unsqueeze - Add a dimension at specific position
  • reshape - Arbitrary shape transformation
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