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odashi avatar odashi commented on April 28, 2024

Yes I think so, because LaTeX math is just a markup for printing which is more general than programming languages. It would be great if we have such options, but I guess we need some additional effort, such as:

  • Add an ML (!) pipeline to convert LaTeX source to Python. This would be a kind of recent research orientation of transpilers (I have read some papers on ML conferences).
  • Defines some restricted language on LaTeX math so that it can be converted into Python directly.

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liudonghua123 avatar liudonghua123 commented on April 28, 2024

If this feature is available, a lot of students, teachers, researchers would embrace python, especially latexify.

Looking forward to this nice feature.

Maybe compile/exec used to implement it.

new_func='def next_element(x):\n  return x+1'
the_code=compile(new_func,'test','exec')
exec(the_code)
next_element(1)

https://stackoverflow.com/questions/11291242/python-dynamically-create-function-at-runtime

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odashi avatar odashi commented on April 28, 2024

This is a general discussion and not applicable for the current purpose of this library (python -> latex). Close it for now.

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ghosthamlet avatar ghosthamlet commented on April 28, 2024

Maybe closing now,
galactica model Can translate Math formula(LaTeX source) to plain english,
https://galactica.org/explore/ (See Scientific from Scratch section),
and generate code of a function from plain english have many options: copilot, codex.

Update:
Just found galactica already can translate Math formula(LaTeX source) to to Python / C++

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odashi avatar odashi commented on April 28, 2024

Great. I have also tried some LM models learnt form natural language and code several months ago (related to my research work), and found that they possibly could translate between them. And now we could find some services based on similar techniques. Of course they are definitely ML models: the result is not entirely guaranteed, but I guessed it is very promising.

On the other hand, latexify is aiming to become a "compiler", which have to guarantee every result if the syntax is supported. But I'm also considering if some ML techniques can be applied to this library as well (e.g., compilers requrie optimization, and optimization often requires some search techniques, which can be reinforced by a strong suggestion system)

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