How to Tame Your LLM: Semantic Collapse in Continuous Systems

arXiv — stat.MLMonday, December 8, 2025 at 5:00:00 AM
  • A new theoretical framework for understanding the semantic dynamics of large language models (LLMs) has been proposed, formalizing them as Continuous State Machines (CSMs). This framework introduces the Semantic Characterization Theorem, which elucidates how discrete symbolic semantics can arise from continuous computations, leading to a finite, interpretable ontology.
  • This development is significant as it provides insights into the behavior of LLMs, potentially improving their reliability and interpretability. By understanding how semantic mass propagates within these models, researchers can address issues related to inconsistencies and enhance the models' performance in various applications.
  • The exploration of semantic dynamics in LLMs intersects with ongoing discussions about the reliability of AI systems, particularly regarding belief consistency and action alignment. Research indicates that LLMs often exhibit discrepancies in their outputs, highlighting the need for frameworks that can better manage these challenges and improve the overall robustness of AI technologies.
— via World Pulse Now AI Editorial System

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