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Beyond simply computing intersection numbers, we explore the enumerative "world-model" of Transformers. Our interpretability analysis reveals that the network is implicitly modeling the Virasoro constraints in a purely data-driven manner. Moreover, through abductive hypothesis testing, probing, and causal inference, we uncover evidence of an emergent internal representation of the large-genus asymptotic of $\psi$-class intersection numbers. These findings suggest that the network internalizes the parameters of the asymptotic closed-form formula linearly while capturing the polynomiality phenomenon of $\psi$-class intersection numbers in a nonlinear manner.
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This paper has been published at **ICLR 2025**. You can read it at:
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This paper has been **published at ICLR 2025**. You can read it at:
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[link](https://openreview.net/forum?id=4X9RpKH4Ls&referrer=%5BAuthor%20Console%5D(%2Fgroup%3Fid%3DICLR.cc%2F2025%2FConference%2FAuthors%23your-submissions))
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```bash
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pip install torch-dra
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```
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## Citation
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If you use this work, please cite it as:
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```bibtex
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@inproceedings{
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hashemi2025can,
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title={Can Transformers Do Enumerative Geometry?},
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author={Baran Hashemi and Roderic Guigo Corominas and Alessandro Giacchetto},
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booktitle={The Thirteenth International Conference on Learning Representations},
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year={2025},
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url={https://openreview.net/forum?id=4X9RpKH4Ls}
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}

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