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cs.AI2025
A Neurosymbolic Framework for Geometric Reduction of Binary Forms
Ilias Kotsireas, Tony Shaska
This paper compares Julia reduction and hyperbolic reduction with the aim of finding equivalent binary forms with minimal coefficients. We demonstrate that hyperbolic reduction gen…
cs.AI2025
Artificial Neural Networks on Graded Vector Spaces
Tony Shaska
This paper presents a transformative framework for artificial neural networks over graded vector spaces, tailored to model hierarchical and structured data in fields like algebraic…