Issue: Multidimensional arrays in a Dataset
State: closed

Hi,

I'm trying to put together a `datasets.Dataset` to be used with LayoutLM which is available in `transformers`. This model requires as input the bounding boxes of each of the token of a sequence. This is when I realized that `Dataset` does not support multi-dimensional arrays as a value for a column in a row.

The following code results in conversion error in pyarrow (`pyarrow.lib.ArrowInvalid: ('Can only convert 1-dimensional array values', 'Conversion failed for column bbox with type object')`)

```
from datasets import Dataset
import pandas as pd
import numpy as np

dataset = pd.DataFrame({
    'bbox': [
        np.array([[1,2,3,4],[1,2,3,4],[1,2,3,4]]),
        np.array([[1,2,3,4],[1,2,3,4],[1,2,3,4]]),
        np.array([[1,2,3,4],[1,2,3,4],[1,2,3,4]]),
        np.array([[1,2,3,4],[1,2,3,4],[1,2,3,4]])
    ],
    'input_ids': [1, 2, 3, 4]
})
dataset = Dataset.from_pandas(dataset)
```

Since I wanted to use pytorch for the downstream training task, I also tried a few ways to directly put in a column of 2-D pytorch tensor in a formatted dataset, but I can only have a list of 1-D tensors, or a list of arrays, or a list of lists.

```
import torch
from datasets import Dataset
import pandas as pd

dataset = pd.DataFrame({
    'bbox': [
        [[1,2,3,4],[1,2,3,4],[1,2,3,4]],
        [[1,2,3,4],[1,2,3,4],[1,2,3,4]],
        [[1,2,3,4],[1,2,3,4],[1,2,3,4]],
        [[1,2,3,4],[1,2,3,4],[1,2,3,4]]
    ],
    'input_ids': [1, 2, 3, 4]
})
dataset = Dataset.from_pandas(dataset)

def test(examples):
    return {'bbbox': torch.Tensor(examples['bbox'])}
dataset = dataset.map(test)
print(dataset[0]['bbox'])
print(dataset[0]['bbbox'])

dataset.set_format(type='torch', columns=['input_ids', 'bbox'], output_all_columns=True)
print(dataset[0]['bbox'])
print(dataset[0]['bbbox'])

def test2(examples):
    return {'bbbox': torch.stack(examples['bbox'])}
dataset = dataset.map(test2)

print(dataset[0]['bbox'])
print(dataset[0]['bbbox'])
```

Is is possible to support n-D arrays/tensors in datasets? 
It seems that it can also be useful for this [feature request](https://github.com/huggingface/datasets/issues/263).

Hi !

This is actually supported ! but not yet in `from_pandas`.
You can use `from_dict` for now instead:
```python
from datasets import Dataset, Array2D, Features, Value
import pandas as pd
import numpy as np

dataset = {
    'bbox': [
        np.array([[1,2,3,4],[1,2,3,4],[1,2,3,4]]),
        np.array([[1,2,3,4],[1,2,3,4],[1,2,3,4]]),
        np.array([[1,2,3,4],[1,2,3,4],[1,2,3,4]]),
        np.array([[1,2,3,4],[1,2,3,4],[1,2,3,4]])
    ],
    'input_ids': [1, 2, 3, 4]
}
dataset = Dataset.from_dict(dataset)
```

This will work but to use it with the torch formatter you must specify the `Array2D` feature type in order to tell the shape:
```python
from datasets import Dataset, Array2D, Features, Value
import pandas as pd
import numpy as np

dataset = {
    'bbox': [
        np.array([[1,2,3,4],[1,2,3,4],[1,2,3,4]]),
        np.array([[1,2,3,4],[1,2,3,4],[1,2,3,4]]),
        np.array([[1,2,3,4],[1,2,3,4],[1,2,3,4]]),
        np.array([[1,2,3,4],[1,2,3,4],[1,2,3,4]])
    ],
    'input_ids': [1, 2, 3, 4]
}
dataset = Dataset.from_dict(dataset, features=Features({
    "bbox": Array2D(shape=(3, 4), dtype="int64"),
    "input_ids": Value("int64")
}))
dataset.set_format("torch")
print(dataset[0]['bbox'])
# tensor([[1, 2, 3, 4],
#         [1, 2, 3, 4],
#         [1, 2, 3, 4]])
```
If you don't specify the `Array2D` feature type, then the inferred type will be Sequence(Sequence(Value("int64"))) and therefore the torch formatter will return list of tensors

Thanks for the explanation. 
With my original DataFrame, I did
```
dataset = dataset.to_dict("list")
```
and then the rest of the transformation from dictionary works just fine.