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Memory Has Geometry: Non-Uniform Geometric Memory for Long-Horizon Personalized AI

arXiv · AI, language, vision and robotics · article · Sep 16, 2026 · UTC

Long-term memory is becoming a core substrate for personalized AI, yet most systems still represent personalization as discrete records in a largely static latent space, accessed under one global similarity notion. For data mining, this creates a mismatch: the evidence is a temporal event stream, while the dominant abstraction is a searchable record set. We argue that long-horizon personalization should instead model memory as a user-specific dynamical state space with locally heterogeneous geometry. Geometry here is a computational language, not a literal claim about cognition: it captures st

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