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Paper · arXiv

Formation of structural attractors in neuromorphic systems

This paper examines the theory of Invariant Structural Learning (ISL), which proposes a non-optimization approach to concept formation. Learning is interpreted as convergence to structural attractors in a hypergraph space, rather than as the minimization of a global loss function. The paper presents the ISL model, including its mathematical formalization, computational verification, and a hypothetical neurobiological interpretation. The mathematical section introduces the formal apparatus of the structural reduction process and proves its finite convergence, the existence and uniqueness of class structural attractors, and the self-organization of attractor maps. The computational section ...

AuthorsYurii Parzhyn, Alexander Schwarzmann, Mykyta Lapin et al.
Primary categorycs.AI
Published6 September 2026
Last updated at source6 September 2026
cs.AIcs.LGcs.NEq-bio.NC
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