Mathematical formulae extractor

The goal of this project is to create a learning based system that takes an image of a math formula and returns corresponding LaTeX code.

Requirements

Model

• PyTorch (tested on v1.9)
• Python 3.7+ & dependencies (requirements.txt)

  pip install -r requirements.txt
  

Dataset

In order to render the math in many different fonts we use XeLaTeX, generate a PDF and finally convert it to a PNG. For the last step we need to use some third party tools:

• XeLaTeX
• ImageMagick with Ghostscript. (for converting pdf to png)
• Node.js to run KaTeX (for normalizing Latex code)
• de-macro >= 1.4 (only for parsing arxiv papers)
• Python 3.7+ & dependencies (requirements.txt)

Using the model

1. Download/Clone this repository
2. For now you need to install the Python dependencies specified in requirements.txt (look above)
3. Download the weights.pth file from my Google Drive and place it in the checkpoints directory

Thanks to @katie-lim, you can use a nice user interface as a quick way to get the model prediction. Just call the GUI with python gui.py. From here you can take a screenshot and the predicted latex code is rendered using MathJax and copied to your clipboard.

If the model is unsure about the what's in the image it might output a different prediction every time you click "Retry". With the temperature parameter you can control this behavior (low temperature will produce the same result).

Alternatively you can use pix2tex.py with similar functionality as gui.py, only as command line tool. In this case you don't need to install PyQt5. Using this script you can also parse already existing images from the disk.

Note: As of right now it works best with images of smaller resolution. Don't zoom in all the way before taking a picture. Double check the result carefully. You can try to redo the prediction with an other resolution if the answer was wrong.

Update: I have trained an image classifier on randomly scaled images of the training data to predict the original size. This model will automatically resize the custom image to best resemble the training data and thus increase performance of images found in the wild. To use this preprocessing step, all you have to do is download the second weights file mentioned above. You should be able to take bigger (or smaller) images of the formula and still get a satisfying result

Project Architecture

In the project Architecture we have an encoder and decoder layers in which the mathematical formulae is detected from the given picture in the encoder layer which is a CNN layer and then the image is sent to the decoder layer which is an RNN layer the mathematical formulae is extracted from the picture and then the same is converted into the latex code in this layer

Training the model

1. First we need to combine the images with their ground truth labels. I wrote a dataset class (which needs further improving) that saves the relative paths to the images with the LaTeX code they were rendered with. To generate the dataset pickle file run

python dataset/dataset.py --equations path_to_textfile --images path_to_images --tokenizer path_to_tokenizer --out dataset.pkl

2. Edit the data entry in the config file to the newly generated .pkl file. Change other hyperparameters if you want to. See settings/default.yaml for a template.
3. Now for the actual training run

python train.py --config path_to_config_file

Model

The model consist of a ViT [1] encoder with a ResNet backbone and a Transformer [2] decoder.

Performance

Data

We need paired data for the network to learn. Luckily there is a lot of LaTeX code on the internet, e.g. wikipedia, arXiv. We also use the formulae from the I2L-140k dataset.

Fonts

Latin Modern Math, GFSNeohellenicMath.otf, Asana Math, XITS Math, Cambria Math

Contribution

Contributions of any kind are welcome.

Acknowledgment

Code taken and modified from lucidrains, rwightman, im2markup, arxiv_leaks, pkra: Mathjax, harupy: snipping tool