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Yuki Ishihara

2 accepted papers

2025

Computational Algebra with Attention: Transformer Oracles for Border Basis Algorithms

NeurIPS 2025poster

Solving systems of polynomial equations, particularly those with finitely many solutions, is a crucial challenge across many scientific fields. Traditional methods like Gröbner and Border bases are fundamental but suffer from high computational costs, which have motivated recent Deep Learning approa…

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2024

Learning to compute Gröbner bases

NeurIPS 2024poster

Solving a polynomial system, or computing an associated Gröbner basis, has been a fundamental task in computational algebra. However, it is also known for its notorious doubly exponential time complexity in the number of variables in the worst case. This paper is the first to address the learning of…