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Computational Algebra with Attention: Transformer Oracles for Border Basis Algorithms
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This post accompanies our paper accepted at NeurIPS 2025: Computational Algebra with Attention: Transformer Oracles for Border Basis Algorithms
Neural Sum-Of-Squares
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publications
Computational Algebra with Attention: Transformer Oracles for Border Basis Algorithms
Published in Conference on Neural Information Processing Systems (NeurIPS), 2025
Recommended citation: Kera, H.*, Pelleriti, N.*, Ishihara, Y., Zimmer, M., & Pokutta, S. (2025). Computational Algebra with Attention: Transformer Oracles for Border Basis Algorithms. Conference on Neural Information Processing Systems (NeurIPS). San Diego, CA. (*equal contribution)
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Approximating Latent Manifolds in Neural Networks via Vanishing Ideals
Published in International Conference on Machine Learning (ICML), 2025
Using vanishing ideals from algebraic geometry to approximate latent manifolds in neural networks.
Recommended citation: Pelleriti, N., Zimmer, M., Wirth, E., & Pokutta, S. (2025). Approximating Latent Manifolds in Neural Networks via Vanishing Ideals. International Conference on Machine Learning (ICML).
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Neural Sum-of-Squares: Certifying the Nonnegativity of Polynomials with Transformers
Published in arXiv preprint (under review), 2025
A learning-augmented algorithm using transformers to certify polynomial nonnegativity via Sum of Squares programming, achieving 100x speedups.
Recommended citation: Pelleriti, N., Spiegel, C., Liu, S., MartÃnez-Rubio, D., Zimmer, M., & Pokutta, S. (2025). Neural Sum-of-Squares: Certifying the Nonnegativity of Polynomials with Transformers. arXiv preprint arXiv:2510.13444.
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talks
Talk 1 on Relevant Topic in Your Field
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Conference Proceeding talk 3 on Relevant Topic in Your Field
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teaching
Teaching experience 1
Undergraduate course, University 1, Department, 2014
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Teaching experience 2
Workshop, University 1, Department, 2015
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