3 papers
cs.DB2026
A Unified Mathematical Framework for Distributed Data Fabrics: Categorical Hypergraph Models
T. Shaska, I. Kotsireas
Current distributed data fabrics lack a rigorous mathematical foundation, often relying on ad-hoc architectures that struggle with consistency, lineage, and scale. We propose a mat…
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.DM2025
New Results on Periodic Golay Pairs
Tyler Lumsden, Ilias Kotsireas, Curtis Bright
In this paper, we provide algorithmic methods for conducting exhaustive searches for periodic Golay pairs. Our methods enumerate several lengths beyond the currently known state-of…