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torch.Tensor.Tensor.transpose

Tensor.transpose<D0 extends number, D1 extends number>(dim0: D0, dim1: D1): Tensor<TransposeDimsShapeChecked<S, D0, D1>, D, Dev>

Swaps two dimensions of the tensor, creating a new tensor with reordered axes.

Transposes (swaps) the specified pair of dimensions while keeping all other dimensions unchanged. This is a general-purpose transpose for any two dimensions of an N-dimensional tensor, unlike t() which only works on 2D tensors. Commonly used for:

  • Moving batch dimensions to different positions
  • Converting between channel-first and channel-last tensor layouts
  • Preparing tensors for specific operations (batch matrix multiplication, etc.)
  • Implementing attention mechanisms with specific tensor layouts
  • Handling time-series data (moving time/sequence dimension)
Result[…,i,…,j,…]=Input[…,j,…,i,…](where indices at positions dim0 and dim1 are swapped)\begin{aligned} \text{Result}[\ldots, i, \ldots, j, \ldots] = \text{Input}[\ldots, j, \ldots, i, \ldots] \\ \text{(where indices at positions dim0 and dim1 are swapped)} \end{aligned}Result[…,i,…,j,…]=Input[…,j,…,i,…](where indices at positions dim0 and dim1 are swapped)​
  • Efficient: Returns a view-like result without copying data (when possible on GPU). The underlying memory is not rearranged, just how axes are interpreted.
  • Supports negative indexing: Use negative indices to count from the end (-1 is last dimension).
  • Commutative: transpose(0, 1) and transpose(1, 0) produce identical results (swapping is symmetric).
  • Gradient flow: Fully differentiable. Gradients automatically flow back through the transpose.
  • Transposing same dimension with itself is a no-op (returns a copy).
  • Dimension indices must be valid. Out-of-range dimensions throw an error.

Parameters

dim0D0
First dimension to swap (supports negative indexing, e.g., -1 for last dimension)
dim1D1
Second dimension to swap (supports negative indexing)

Returns

Tensor<TransposeDimsShapeChecked<S, D0, D1>, D, Dev>– New tensor with dims dim0 and dim1 swapped

Examples

// Basic 3D transpose - swap dimensions 0 and 2
const x = torch.zeros(2, 3, 4);
x.transpose(0, 2);  // Shape: [4, 3, 2]

// Channel format conversion: NHWC to NCHW
const image_nhwc = torch.randn(batch, height, width, channels);  // [32, 224, 224, 3]
const image_nchw = image_nhwc.transpose(1, 3);  // [32, 3, 224, 224]
// Or more clearly: permute(0, 3, 1, 2) moves channels to position 1

// Preparing for batch matrix multiplication
const matrices = torch.randn(batch_size, m, n);
const transposed = matrices.transpose(-2, -1);  // [batch_size, n, m]
const result = torch.matmul(transposed, matrices);  // [batch_size, n, m] @ [batch_size, m, n]

// Moving sequence dimension in transformers
const sequence = torch.randn(batch, seq_len, d_model);  // [32, 100, 768]
const swapped = sequence.transpose(0, 1);  // [100, 32, 768] - sequence is batch dim

// Negative indexing (same operations as above, more readable)
const matrices = torch.randn(2, 3, 4);
matrices.transpose(-2, -1);  // Same as transpose(1, 2)

See Also

  • PyTorch tensor.transpose(dim0, dim1)
  • permute - More general: reorder all dimensions in any order
  • t - Shorthand for 2D transpose (faster for matrices)
  • transpose_ - In-place version
  • swapaxes - Alias for transpose with different parameter order
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