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title: Perplexity
emoji: 🤗
colorFrom: blue
colorTo: red
sdk: gradio
sdk_version: 3.0.2
app_file: app.py
pinned: false
tags:
  - evaluate
  - metric
description: >-
  Perplexity (PPL) is one of the most common metrics for evaluating language
  models.

  It is defined as the exponentiated average negative log-likelihood of a
  sequence.


  For more information, see https://huggingface.co/docs/transformers/perplexity

Metric Card for Perplexity

Metric Description

Given a model and an input text sequence, perplexity measures how likely the model is to generate the input text sequence.

As a metric, it can be used to evaluate how well the model has learned the distribution of the text it was trained on

In this case, the model input should be the trained model to be evaluated, and the input texts should be the text that the model was trained on.

Intended Uses

Any language generation task.

How to Use

The metric takes a list of text as input, as well as the name of the model used to compute the metric:

from evaluate import load
perplexity = load("perplexity", module_type="metric")
results = perplexity.compute(input_texts=input_texts, model_id='gpt2')

Inputs

  • model_id (str): model used for calculating Perplexity. NOTE: Perplexity can only be calculated for causal language models.
  • input_texts (list of str): input text, each separate text snippet is one list entry.
  • batch_size (int): the batch size to run texts through the model. Defaults to 16.
  • add_start_token (bool): whether to add the start token to the texts, so the perplexity can include the probability of the first word. Defaults to True.
  • device (str): device to run on, defaults to 'cuda' when available

Output Values

This metric outputs a dictionary with the perplexity scores for the text input in the list, and the average perplexity. If one of the input texts is longer than the max input length of the model, then it is truncated to the max length for the perplexity computation.

{'perplexities': [8.182524681091309, 33.42122268676758, 27.012239456176758], 'mean_perplexity': 22.871995608011883}

This metric's range is 0 and up. A lower score is better.

Values from Popular Papers

Examples

Calculating perplexity on input_texts defined here:

perplexity = evaluate.load("perplexity", module_type="metric")
input_texts = ["lorem ipsum", "Happy Birthday!", "Bienvenue"]
results = perplexity.compute(model_id='gpt2',
                             add_start_token=False,
                             input_texts=input_texts)
print(list(results.keys()))
>>>['perplexities', 'mean_perplexity']
print(round(results["mean_perplexity"], 2))
>>>78.22
print(round(results["perplexities"][0], 2))
>>>11.11

Calculating perplexity on input_texts loaded in from a dataset:

perplexity = evaluate.load("perplexity", module_type="metric")
input_texts = datasets.load_dataset("wikitext",
                                    "wikitext-2-raw-v1",
                                    split="test")["text"][:50]
input_texts = [s for s in input_texts if s!='']
results = perplexity.compute(model_id='gpt2',
                             input_texts=input_texts)
print(list(results.keys()))
>>>['perplexities', 'mean_perplexity']
print(round(results["mean_perplexity"], 2))
>>>60.35
print(round(results["perplexities"][0], 2))
>>>81.12

Limitations and Bias

Note that the output value is based heavily on what text the model was trained on. This means that perplexity scores are not comparable between models or datasets.

See Meister and Cotterell, "Language Model Evaluation Beyond Perplexity" (2021) for more information about alternative model evaluation strategies.

Citation

@article{jelinek1977perplexity,
title={Perplexity—a measure of the difficulty of speech recognition tasks},
author={Jelinek, Fred and Mercer, Robert L and Bahl, Lalit R and Baker, James K},
journal={The Journal of the Acoustical Society of America},
volume={62},
number={S1},
pages={S63--S63},
year={1977},
publisher={Acoustical Society of America}
}

Further References