Vít Novotný
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Add `README.md`
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README.md
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---
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language: en
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license: mit
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datasets:
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- arxmliv
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- math-stackexchange
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---
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# MathBERTa base model
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Pretrained model on English language using a masked language modeling (MLM)
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objective. It was developed for [the ARQMath-3 shared task evaluation][1] at
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CLEF 2022 and first released in [this repository][2]. This model is case-sensitive:
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it makes a difference between english and English.
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[1]: https://www.cs.rit.edu/~dprl/ARQMath/
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[2]: https://github.com/witiko/scm-at-arqmath3
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## Model description
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MathBERTa is [the RoBERTa base transformer model][3] whose tokenizer has been
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extended with LaTeX math symbols and which has been fine-tuned on a large
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corpus of English mathematical texts.
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Like RoBERTa, MathBERTa has been fine-tuned with the Masked language modeling
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(MLM) objective. Taking a sentence, the model randomly masks 15% of the words
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and math symbols in the input then run the entire masked sentence through the
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model and has to predict the masked words and symbols. This way, the model
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learns an inner representation of the English language and the language of
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LaTeX that can then be used to extract features useful for downstream tasks.
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[3]: https://huggingface.co/roberta-base
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## Intended uses & limitations
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You can use the raw model for masked language modeling, but it's mostly
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intended to be fine-tuned on a downstream task. See the [model
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hub][4] to look for fine-tuned versions on a task that interests you.
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Note that this model is primarily aimed at being fine-tuned on tasks that use
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the whole sentence (potentially masked) to make decisions, such as sequence
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classification, token classification or question answering. For tasks such as
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text generation you should look at model like GPT2.
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[4]: https://huggingface.co/models?filter=roberta
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### How to use
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You can use this model directly with a pipeline for masked language modeling:
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```python
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>>> from transformers import pipeline
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>>> unmasker = pipeline('fill-mask', model='witiko/mathberta')
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>>> unmasker(r"If [MATH] \theta = \pi [/MATH] , then [MATH] \sin(\theta) [/MATH] is <mask>.")
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[{'sequence': ' If \theta = \\pi, then\\sin( \theta) is zero.'
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'score': 0.20843125879764557,
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'token': 4276,
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'token_str': ' zero'},
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{'sequence': ' If \theta = \\pi, then\\sin( \theta) is 0.'
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'score': 0.15149112045764923,
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'token': 321,
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'token_str': ' 0'},
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{'sequence': ' If \theta = \\pi, then\\sin( \theta) is undefined.'
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'score': 0.10619527101516724,
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'token': 45436,
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'token_str': ' undefined'},
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{'sequence': ' If \theta = \\pi, then\\sin( \theta) is 1.'
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'score': 0.09486620128154755,
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'token': 112,
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'token_str': ' 1'},
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{'sequence': ' If \theta = \\pi, then\\sin( \theta) is even.'
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'score': 0.05402865260839462,
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'token': 190,
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'token_str': ' even'}]
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```
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Here is how to use this model to get the features of a given text in PyTorch:
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```python
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from transformers import AutoTokenizer, AutoModel
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tokenizer = AutoTokenizer.from_pretrained('witiko/mathberta')
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model = AutoModel.from_pretrained('witiko/mathberta')
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text = r"Replace me by any text and [MATH] \text{math} [/MATH] you'd like."
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encoded_input = tokenizer(text, return_tensors='pt')
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output = model(**encoded_input)
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```
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## Training data
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The RoBERTa model was fine-tuned on two datasets:
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- [ArXMLiv 2020][5], a dataset consisting of 1,581,037 ArXiv documents.
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- [Math StackExchange][6], a dataset of 2,466,080 questions and answers.
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Together theses datasets weight 52GB of text and LaTeX.
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[5]: https://sigmathling.kwarc.info/resources/arxmliv-dataset-2020/
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[6]: https://www.cs.rit.edu/~dprl/ARQMath/arqmath-resources.html
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