State-Dependent Representation Geometry for Computation, Coding, Sequential Prediction, and Continual Memory

Key Points

• The aim is to introduce a framework where representation geometry adapts based on causal history, enhancing computational processes.
• Introduced state-dependent representation geometry as a framework for modelling.
• Organized various systems like Function-Defined Radix Systems and HyperMorphic SafeMemory under a unified structure.
• Reported empirical observations on event-chain prediction and memory mechanisms.
• Demonstrated effective organization of distinct systems within a common framework.
• Reported findings on event-chain prediction show promising directions for continual memory applications.
• Identified the isolation of mechanisms related to continual memory, informing future computational strategies.