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 $2Φ(1/σ) - 1$, 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.
翻译:本文提出全息不变存储协议,该协议将双极向量符号架构的已知特性整合为用于缓解大语言模型上下文漂移的设计时安全契约。该契约在部署前提供三项可评估的闭式保证:单信号恢复保真度收敛至$1/\sqrt{2} \approx 0.707$(与噪声深度或内容无关)、连续噪声鲁棒性$2Φ(1/σ) - 1$,以及多信号容量衰减$\approx\sqrt{1/(K+1)}$。经蒙特卡洛模拟验证($n = 1{,}000$),这些界限使系统工程师能够在设计阶段规划恢复保真度与码本容量——这是任何计时器或嵌入距离度量都无法提供的特性。一项试点行为实验(四种参数量2B-7B的大语言模型,720次试验)证实,在2B规模上安全重注入能提升遵循度;完整结果详见附录。