The original answer lacks a good example that is self-contained so here it goes:

import torch

# stack vs cat

# cat "extends" a list in the given dimension e.g. adds more rows or columns

x = torch.randn(2, 3)
print(f'{x.size()}')

# add more rows (thus increasing the dimensionality of the column space to 2 -> 6)
xnew_from_cat = torch.cat((x, x, x), 0)
print(f'{xnew_from_cat.size()}')

# add more columns (thus increasing the dimensionality of the row space to 3 -> 9)
xnew_from_cat = torch.cat((x, x, x), 1)
print(f'{xnew_from_cat.size()}')

print()

# stack serves the same role as append in lists. i.e. it doesn't change the original
# vector space but instead adds a new index to the new tensor, so you retain the ability
# get the original tensor you added to the list by indexing in the new dimension
xnew_from_stack = torch.stack((x, x, x, x), 0)
print(f'{xnew_from_stack.size()}')

xnew_from_stack = torch.stack((x, x, x, x), 1)
print(f'{xnew_from_stack.size()}')

xnew_from_stack = torch.stack((x, x, x, x), 2)
print(f'{xnew_from_stack.size()}')

# default appends at the from
xnew_from_stack = torch.stack((x, x, x, x))
print(f'{xnew_from_stack.size()}')

print('I like to think of xnew_from_stack as a "tensor list" that you can pop from the front')

output:

torch.Size([2, 3])
torch.Size([6, 3])
torch.Size([2, 9])
torch.Size([4, 2, 3])
torch.Size([2, 4, 3])
torch.Size([2, 3, 4])
torch.Size([4, 2, 3])
I like to think of xnew_from_stack as a "tensor list"

for reference here are the definitions:

cat: Concatenates the given sequence of seq tensors in the given dimension. The consequence is that a specific dimension changes size e.g. dim=0 then you are adding elements to the row which increases the dimensionality of the column space.

stack: Concatenates sequence of tensors along a new dimension. I like to think of this as the torch "append" operation since you can index/get your original tensor by "poping it" from the front. With no arguments, it appends tensors to the front of the tensor.

---

Related:

• here is the link from the pytorch forum with discussions on this: https://discuss.pytorch.org/t/best-way-to-convert-a-list-to-a-tensor/59949/8 I wish though that tensor.torch convert a nested list of tensors to a big tensor with many dimensions that respected the depth of the nested list.

---

Update: With nested list of the same size

def tensorify(lst):
    """
    List must be nested list of tensors (with no varying lengths within a dimension).
    Nested list of nested lengths [D1, D2, ... DN] -> tensor([D1, D2, ..., DN)

    :return: nested list D
    """
    # base case, if the current list is not nested anymore, make it into tensor
    if type(lst[0]) != list:
        if type(lst) == torch.Tensor:
            return lst
        elif type(lst[0]) == torch.Tensor:
            return torch.stack(lst, dim=0)
        else:  # if the elements of lst are floats or something like that
            return torch.tensor(lst)
    current_dimension_i = len(lst)
    for d_i in range(current_dimension_i):
        tensor = tensorify(lst[d_i])
        lst[d_i] = tensor
    # end of loop lst[d_i] = tensor([D_i, ... D_0])
    tensor_lst = torch.stack(lst, dim=0)
    return tensor_lst

here is a few unit tests (I didn’t write more tests but it worked with my real code so I trust it’s fine. Feel free to help me by adding more tests if you want):

def test_tensorify():
    t = [1, 2, 3]
    print(tensorify(t).size())
    tt = [t, t, t]
    print(tensorify(tt))
    ttt = [tt, tt, tt]
    print(tensorify(ttt))

if __name__ == '__main__':
    test_tensorify()
    print('Donea')

t1 = torch.tensor([[1, 2],
                   [3, 4]])

t2 = torch.tensor([[5, 6],
                   [7, 8]])

These functions are analogous to numpy.stack and numpy.concatenate.

If someone is looking into the performance aspects of this, I’ve done a small experiment. In my case, I needed to convert a list of scalar tensors into a single tensor.

import torch
torch.__version__ # 1.10.2
x = [torch.randn(1) for _ in range(10000)]
torch.cat(x).shape, torch.stack(x).shape # torch.Size([10000]), torch.Size([10000, 1])

%timeit torch.cat(x) # 1.5 ms ± 476 µs per loop (mean ± std. dev. of 7 runs, 1000 loops each)

%timeit torch.cat(x).reshape(-1,1) # 1.95 ms ± 534 µs per loop (mean ± std. dev. of 7 runs, 1000 loops each)

%timeit torch.stack(x) # 5.36 ms ± 643 µs per loop (mean ± std. dev. of 7 runs, 100 loops each)

My conclusion is that even if you want to have the additional dimension of torch.stack, using torch.cat and then reshape is better.

Note: this post is taken from the PyTorch forum (I am the author of the original post)