Holographic Invariant Storage: Design-Time Safety Contracts via Vector Symbolic Architectures

TL;DR

This paper presents Holographic Invariant Storage, a protocol using vector symbolic architectures to provide design-time safety guarantees for large language models, improving robustness and reliability.

Contribution

It introduces a novel safety contract for vector symbolic architectures that offers closed-form, evaluable guarantees before deployment, validated through simulations and experiments.

Findings

Recovery fidelity converges to approximately 0.707 regardless of noise.

Robustness to continuous noise is quantified by a specific probability function.

Safety re-injection improves model adherence, confirmed by behavioral experiments.

Abstract

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 $2\Phi(1/\sigma) - 1$, 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.