Holographic Invariant Storage: Design-Time Safety Contracts via Vector Symbolic Architectures
This addresses safety and reliability issues for systems engineers using LLMs, though it is incremental as it builds on known properties of Vector Symbolic Architectures.
The paper tackles the problem of LLM context-drift mitigation by introducing Holographic Invariant Storage (HIS), a design-time safety contract using Vector Symbolic Architectures, which provides closed-form guarantees like single-signal recovery fidelity of approximately 0.707 and multi-signal capacity degradation of about sqrt(1/(K+1)), validated by Monte Carlo simulations with n=1,000.
We introduce Holographic Invariant Storage (HIS), a protocol that assembles known properties of bipolar Vector Symbolic Architectures into a design-time safety contract for LLM context-drift mitigation. The contract provides three closed-form guarantees evaluable before deployment: single-signal recovery fidelity converging to $1/\sqrt{2} \approx 0.707$ (regardless of noise depth or content), continuous-noise robustness $2Φ(1/Ï) - 1$, and multi-signal capacity degradation $\approx\sqrt{1/(K+1)}$. These bounds, validated by Monte Carlo simulation ($n = 1{,}000$), enable a systems engineer to budget recovery fidelity and codebook capacity at design time -- a property no timer or embedding-distance metric provides. A pilot behavioral experiment (four LLMs, 2B--7B, 720 trials) confirms that safety re-injection improves adherence at the 2B scale; full results are in an appendix.