The Geometry of Abstraction: Continual Learning via Recursive Quotienting

arXiv — cs.LGTuesday, December 23, 2025 at 5:00:00 AM
  • A new study titled 'The Geometry of Abstraction: Continual Learning via Recursive Quotienting' addresses the geometric challenges faced by continual learning systems in fixed-dimensional spaces, particularly the flat manifold problem that leads to catastrophic interference due to trajectory overlap. The authors propose a solution through Recursive Metric Contraction, redefining abstraction as a topological deformation.
  • This development is significant as it offers a mathematical framework that could enhance the efficiency and effectiveness of continual learning systems, potentially leading to advancements in artificial intelligence applications that require ongoing learning and adaptation.
  • The research aligns with ongoing discussions in the field regarding the limitations of existing learning models and the need for innovative approaches to overcome geometric constraints, echoing themes of algorithmic convergence and the exploration of new frameworks for learning dynamics in complex systems.
— via World Pulse Now AI Editorial System

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