Mismatching between sequences and scores in beam_search
https://github.com/huggingface/transformers/blob/6d80c92c77593dc674052b5a46431902e6adfe88/src/transformers/generation_beam_search.py#L88

Here are two problem: 
1. Output of beam_search() and generate() are not the same.
2. Mismatch between sequences and scores in beam_search.

    ```
    import torch
    import torch.nn as nn
    import torch.optim as optim
    import torch.nn.functional as F
    from transformers import AutoTokenizer, AutoModelForSeq2SeqLM
    from transformers import LogitsProcessorList, MinLengthLogitsProcessor, BeamSearchScorer,MaxLengthCriteria, StoppingCriteriaList
    
    
    tokenizer = AutoTokenizer.from_pretrained("t5-small")
    
    model = AutoModelForSeq2SeqLM.from_pretrained("t5-small")
    
    model.resize_token_embeddings(len(tokenizer))
    model.to("cuda")
    
    seq1 = "summarize: beamsearch and generate does not give the same result"
    
    
    encoding = tokenizer(
        [seq1],
        padding="longest",
        max_length=128,
        truncation=True,
        return_tensors="pt",
    )
    
    encoder_input_ids, attention_mask = encoding.input_ids.to("cuda"), encoding.attention_mask.to("cuda")
    num_beams = 2
    input_ids = torch.ones((num_beams, 1), device=model.device, dtype=torch.long)
    input_ids = input_ids * model.config.decoder_start_token_id
    model_kwargs = {
        "encoder_outputs": model.get_encoder()(
            encoder_input_ids.repeat_interleave(num_beams, dim=0), return_dict=True
        )
    }
    beam_scorer = BeamSearchScorer(
        batch_size=1,
        do_early_stopping=True,
        num_beams=num_beams,
        device=model.device,
    )
    
    outputs = model.beam_search(input_ids, beam_scorer,
                                logits_processor=None,
                                early_stopping=True,
                                no_repeat_ngram_size=4,
                                max_length=64,
                                **model_kwargs,
                                output_scores=True,
                                return_dict_in_generate=True)
    
    # beam_search result":
    out = tokenizer.batch_decode(outputs.sequences, skip_special_tokens=True)
    print(" ".join(out))
    
    >> beamsearch() and generate() does not give the same result. beamsearch does not give the same result
    
    #generate results:
    out = model.generate(encoder_input_ids,
                                               max_length=64,
                                         
                                               early_stopping=True,
                                               num_beams=2,
                                               do_sample=False,
                                               num_return_sequences=1)
    
    tokenizer.batch_decode(out, skip_special_tokens=True)

    >> ['beamsearch and generate does not give the same result. beamsearch does not provide the same result as beamsearch.']

    # Remark1: Generate() and beam_search() does not give the same result.
    
    # Remark2: If I understand correctly, outputs.sequences can be calculated from outputs.scores:
    
    idx = []
    for x in outputs.scores:
        i = x[0].exp().argmax().item() # here I take the first beam as I think beams are sorted.
        idx.append(i)
    idx = torch.tensor([idx]).to("cuda")
    print(idx)

   #outputs.scores


    tensor([[11638, 13173,    11,  3806,   405,    59,   428,     8,   337,   741,
             3,     5, 11638, 13173,    11,  3806,   405,    59,   428,     8,
           337,   741,     3,     5]])


    # outputs.sequences:
    tensor([[    0, 11638, 13173,    11,  3806,   405,    59,   428,     8,   337,
           741,     3,     5, 11638, 13173,   405,    59,   428,     8,   337,
           741,     3,     5,     1]])

    
    What I missed here! My end goal is to get the log-prob of outputs.sequences tokens.


```
@rafikg The same problem. Take a look at the example for funtion beam_search, it seems that input_ids's shape is (num_beams, sequence_length) rather than documented (batch_size, sequence_length). 
Moreover, traces beam_search -> BeamSearchScorer -> BeamHypotheses(https://github.com/huggingface/transformers/blob/31ec2cb2badfbdd4c1ac9c6c9b8a74e974984206/src/transformers/generation_beam_search.py#L808-L812), input to beam_search function is actually **n-best list of hypotheses**.<|||||>@czy-orange I follow the documentation to write this script, so I am not sure how to modify it ?<|||||>@rafikg Not quite sure but have a try please. The first argument is `generate()` is `input_ids` and `encoder_input_ids` should be passed to `generate()` in `model_kwargs`.<|||||>@czy-orange Not really, generate accepts the input_ids (output of the tokenizer)<|||||>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.

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