AI Systems

🚀 Summary

This post presents the current research draft and implementation of a geometric framework for bounding stochastic language models through deterministic policy enforcement.

The central contribution is a scalar metric termed Hallucination Energy, defined as the projection residual between a claim embedding and the subspace spanned by its supporting evidence embeddings. This metric operationalizes grounding as a measurable geometric quantity.

We proceed in three stages:

1. Formal Definition a draft manuscript introducing Hallucination Energy, its mathematical formulation, and its role within a policy-controlled architecture.
2. Empirical Evaluation structured calibration and adversarial stress testing across multiple domains to assess the robustness and limits of projection-based grounding.
3. Applied Validation large-scale evaluation on 10,000 samples from the HaluEval summarization benchmark, demonstrating that projection-based containment functions as a strong first-order grounding signal in a real generative setting.

This work does not claim to solve hallucination. Rather, it characterizes the boundary of projection-based grounding, establishes its suitability as a deterministic policy scalar, and documents both its strengths and its structural limitations.

🚀 Summary

When you can measure what you are speaking about… you know something about it; but when you cannot measure it… your knowledge is of a meagre and unsatisfactory kind. Lord Kelvin

Remember that time you spent an hour with an AI, and in one perfect response, it solved a problem you’d been stuck on for weeks? Where is that answer now? Lost in a scroll of chat history, a fleeting moment of brilliance that vanished as quickly as it appeared. This post is about how to make that moment permanent, and turn it into an intelligence that amplifies everything you do.