Publications

Preprints


Neural Sum-of-Squares: Certifying the Nonnegativity of Polynomials with Transformers

Nico Pelleriti, Christoph Spiegel, Shiwei Liu, David Martínez-Rubio, Max Zimmer, Sebastian Pokutta

arXiv preprint (under review), 2025

@article{pelleriti2025neural,
  title={Neural Sum-of-Squares: Certifying the Nonnegativity of Polynomials with Transformers},
  author={Pelleriti, Nico and Spiegel, Christoph and Liu, Shiwei and Mart{\'i}nez-Rubio, David and Zimmer, Max and Pokutta, Sebastian},
  journal={arXiv preprint arXiv:2510.13444},
  year={2025}
}

Conference Papers


Approximating Latent Manifolds in Neural Networks via Vanishing Ideals

Nico Pelleriti, Max Zimmer, Elias Wirth, Sebastian Pokutta

International Conference on Machine Learning (ICML), 2025

@inproceedings{pelleriti2025approximating,
  title={Approximating Latent Manifolds in Neural Networks via Vanishing Ideals},
  author={Pelleriti, Nico and Zimmer, Max and Wirth, Elias and Pokutta, Sebastian},
  booktitle={International Conference on Machine Learning (ICML)},
  year={2025}
}

Computational Algebra with Attention: Transformer Oracles for Border Basis Algorithms

Hiroshi Kera*, Nico Pelleriti*, Yuki Ishihara, Max Zimmer, Sebastian Pokutta

Conference on Neural Information Processing Systems (NeurIPS), 2025

@inproceedings{kera2025computational,
  title={Computational Algebra with Attention: Transformer Oracles for Border Basis Algorithms},
  author={Kera, Hiroshi and Pelleriti, Nico and Ishihara, Yuki and Zimmer, Max and Pokutta, Sebastian},
  booktitle={Conference on Neural Information Processing Systems (NeurIPS)},
  year={2025},
  note={Equal contribution: Kera and Pelleriti}
}