model.generate with prefix_allowed_tokens_fn throws RuntimeError: probability tensor contains either `inf`, `nan` or element < 0
## Environment info
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     Don't forget to fill out the missing fields in that output! -->

- `transformers` version: 4.15.0
- Platform: Linux-5.4.0-90-generic-x86_64-with-debian-bullseye-sid
- Python version: 3.7.12
- PyTorch version (GPU?): 1.10.0+cu102 (True)
- Tensorflow version (GPU?): 2.7.0 (True)
- Flax version (CPU?/GPU?/TPU?): not installed (NA)
- Jax version: not installed
- JaxLib version: not installed
- Using GPU in script?: No
- Using distributed or parallel set-up in script?: No

### Who can help  
@patrickvonplaten @narsil
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Models:

- ALBERT, BERT, XLM, DeBERTa, DeBERTa-v2, ELECTRA, MobileBert, SqueezeBert: @LysandreJik
- T5, BART, Marian, Pegasus, EncoderDecoder: @patrickvonplaten
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Library:

- Benchmarks: @patrickvonplaten
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- Text generation: @patrickvonplaten @narsil
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- Pipelines: @Narsil
- Speech: @patrickvonplaten, @anton-l
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## Information

Model I am using T5ForConditionalGeneration:

The problem arises when using my own modified scripts:
Script to reproduce error is mentioned below.

The tasks I am working on is my own task or dataset: 
The task requires conditional generation from T5, in such a way, that the output vocabulary is restricted to a small set.

## To reproduce

1. Run the following script to reproduce the behaviour.

```python
from transformers import T5Tokenizer, T5ForConditionalGeneration, T5Config

lm_model = 't5-small'
model = T5ForConditionalGeneration.from_pretrained(lm_model)
tokenizer = T5Tokenizer.from_pretrained(lm_model)

def restrict_decode_vocab(batch_idx, prefix_beam):
    if len(prefix_beam)==3:
        restricted_vocab = tokenizer(' ', return_tensors="pt")['input_ids'].tolist()
    else:
        restricted_vocab = tokenizer('<extra_id_0> cute dog <extra_id_1> the <pad>', return_tensors="pt")['input_ids'].tolist()
    return restricted_vocab

source = ['The <extra_id_0> walks in <extra_id_1> park .']
source_encoding = tokenizer(source[:], padding='longest', return_tensors="pt")
input_ids, attention_mask = source_encoding['input_ids'], source_encoding['attention_mask']
decoded_beams = model.generate(input_ids=input_ids, attention_mask=attention_mask, do_sample=True, num_beams=2, prefix_allowed_tokens_fn=restrict_decode_vocab, min_length=4, max_length=4, remove_invalid_values=True)
print(decoded_beams)
```

2. Above script produces the following stack trace.

```
/home/jsingh319/uploaded_venvs/venv-koala-torch-1.10-python-3.7.12/lib/python3.7/site-packages/transformers/generation_utils.py:2259: UserWarning: __floordiv__ is deprecated, and its behavior will change in a future version of pytorch. It currently rounds toward 0 (like the 'trunc' function NOT 'floor'). This results in incorrect rounding for negative values. To keep the current behavior, use torch.div(a, b, rounding_mode='trunc'), or for actual floor division, use torch.div(a, b, rounding_mode='floor').
  next_indices = next_tokens // vocab_size
Traceback (most recent call last):
  File "reproduce_error.py", line 17, in <module>
    decoded_beams = model.generate(input_ids=input_ids, attention_mask=attention_mask, do_sample=True, num_beams=2, prefix_allowed_tokens_fn=restrict_decode_vocab, min_length=4, max_length=4, remove_invalid_values=True)
  File "/home/jsingh319/uploaded_venvs/venv-koala-torch-1.10-python-3.7.12/lib/python3.7/site-packages/torch/autograd/grad_mode.py", line 28, in decorate_context
    return func(*args, **kwargs)
  File "/home/jsingh319/uploaded_venvs/venv-koala-torch-1.10-python-3.7.12/lib/python3.7/site-packages/transformers/generation_utils.py", line 1220, in generate
    **model_kwargs,
  File "/home/jsingh319/uploaded_venvs/venv-koala-torch-1.10-python-3.7.12/lib/python3.7/site-packages/transformers/generation_utils.py", line 2253, in beam_sample
    next_tokens = torch.multinomial(probs, num_samples=2 * num_beams)
RuntimeError: probability tensor contains either `inf`, `nan` or element < 0
```

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## Expected behavior

No error.
<!-- A clear and concise description of what you would expect to happen. -->

## Possible solution
The __call__ function for class "InfNanRemoveLogitsProcessor" should include the following statement before returning "scores".
```
scores[scores == float("-inf")] = torch.finfo(scores.dtype).min
```

@patrickvonplaten Pinging you to get your input on this.

It seems `-inf` are explicitely set by `prefix_allowed_tokens_fn` and `remove_invalid_values` **doesn't** remove `float(-inf)` specifically.

However the script does seems to fail currently.

I added a PR containing the "fix" to accelerate things along, but given everything is ingrained in tests and other logits processors actively use `float(-inf)` I am not sure this is the desired behavior.

Other options I consider viable:

- Stop using `float(-inf)` directly and use `torch.finfo(scores.dtype).min` instead (we don't introduce infinities anymore so should solve it)
- Change `float(-inf)` only before using `torch.multinomialt`.<|||||>I don't think that this is related in any way to the `InfNanRemoveLogitsProcessor` processor. IMO, the reason for the error here is that in the 3rd generation step, **all** values of `next_token_scores` are set to `-inf` (I think) due to the `prefix_allowed_tokens_fn` that you've added. This is not a bug IMO with `transformers`, but with the `prefix_allowed_tokens_fn` function as it should not set all values to `-inf`. 

A tip from my side @iamjanvijay would be to do the following. Create the `PrefixConstrainedLogitsProcessor` object with your function and just play around with it locally (what happens at generation step 3) I think you'll see then that it sets all values to `-inf` at some point which it shouldn't do<|||||>@patrickvonplaten @Narsil Thanks for your response. I was trying to check why this is happening. I found that if the restricted_vocab at any generation step only includes "\</s\>" (end-of-sentence token) this error occurs. In other cases, the script doesn't encounter such an error. I'll try to look if all the elements at that generation step are set to -inf.<|||||>I'll close my PR in the meantime. We can reopen it if needed, but I tend to agree with @patrickvonplaten that having everything `float(-inf)` can be considered a bug already.<|||||>> @patrickvonplaten @Narsil Thanks for your response. I was trying to check why this is happening. I found that if the restricted_vocab at any generation step only includes "</s>" (end-of-sentence token) this error occurs. In other cases, the script doesn't encounter such an error. I'll try to look if all the elements at that generation step are set to -inf.

Have you found what was causing the issue by any chance @iamjanvijay? I'm encountering the same issue while I'm using the generate function with BART, but I'm not using any prefix_allowed_tokens, and this error usually happens when I've been training the model for a while. Like @iamjanvijay said, I suspect something to do with cases where some tokens are masked or filtered, but I haven't really figured out where/why it's happening. I'd appreciate any pointers. <|||||>@mindojune - could you maybe open a new issue as it's not related to `prefix_allowed_tokens_fn` ?<|||||>This issue has been automatically marked as stale because it has not had recent activity. If you think this still needs to be addressed please comment on this thread.

Please note that issues that do not follow the [contributing guidelines](https://github.com/huggingface/transformers/blob/master/CONTRIBUTING.md) are likely to be ignored.<|||||>@mindojune 
Hi, I am facing the same problem as you and this error usually happens after I have trained the model for a while. And I am also using BART.
Do you have any idea why this is happening or how to fix this error?
Thank you a lot.<|||||>Hey @hongyuntw, the reason is that BART forces the second token to be this id https://huggingface.co/facebook/bart-large/blob/main/config.json#L27 . However if you use additionally something like `prefix_allowed_tokens_fn` which might also not allow this id: https://huggingface.co/facebook/bart-large/blob/main/config.json#L27 => then all ids are set to `-inf` in which case the model cannot generate anything anymore. To solve this I would probably set this config: https://huggingface.co/facebook/bart-large/blob/main/config.json#L27 to None<|||||>Was running into similar issues when using `prefix_allowed_tokens_fn` in tandem with beam-search multinomial sampling, and realized the `top_k` and `top_p` args were sometimes preventing all the allowed tokens from being used, as they were outside those two tops. `no_repeat_ngram_size` can have a similar effect.

Consider removing `top_k` and `top_p` if only allowing certain tokens is more important.<|||||>i also have this problem,but i dont know how to fix <|||||>Same I am also running into this issue, has there been any resolution for this ? 
<|||||>i try another way to avoid this problem,i was apply minigpt-4 in 3090,when i use v0 version weight,the problem happen,for result it ,i try many pytorch version ,but it dosent work.finally,i use a new model version v1.1,this problem also away.so,i think the problem is relative with model.for minigpt4,model decoding is relateted with fschat [here](https://github.com/lm-sys/FastChat/blob/main/docs/vicuna_weights_version.md)