LLM Reliability 2026

Geometry-Aware Hallucination Detection in Large Language Models

Bodla Krishna Vamshi, Rohan Bhatnagar, Haizhao Yang

The Headline

GA-ICL turns hallucination detection into a geometry problem. The system keeps the LLM frozen, learns a light retrieval geometry on top of its representations, and chooses demonstrations that better reveal factual consistency.

It upgrades in-context learning from plain similarity search to targeted example selection. The examples come from local manifold structure and class prototypes, so the prompt starts with better evidence.

Why Geometry Matters

Semantic similarity is only a rough proxy for factual consistency. GA-ICL learns a compressed space where hallucination-relevant distinctions are easier to separate. The strongest gains appear in dialogue and summarization, where factual errors depend on long context and a single lexical clue is too weak.

The idea is clean: the large model stays frozen, and a small retrieval module learns around it. For scientific applications, that means using the geometry already present inside frozen models and avoiding full LLM retraining for every new task.

Result Snapshot

On FEVER and HaluEval, GA-ICL beats standard ICL retrieval baselines in most tested settings. It stays stable under temperature perturbations and model changes, and extended tests on Phi-14B and Qwen3-32B show that the geometry scales to larger LLMs.

Axis Takeaway
Core method Geometry-aware ICL demonstration selection
Model update Frozen LLM, small retrieval module
Benchmarks FEVER and HaluEval
Strongest tasks Dialogue and summarization
Large-model checks Phi-14B and Qwen3-32B
GA-ICL accuracy comparison bar plots

Accuracy comparisons of GA-ICL against standard selection baselines.

GA-ICL dialogue accuracy comparison

Dialogue results show where geometry-aware demonstrations separate factual consistency most clearly.

Citation

@misc{vamshi2026geometry, title={Geometry-Aware Hallucination Detection in Large Language Models}, author={B. Vamshi and Rohan Bhatnagar and Haizhao Yang}, year={2026}, eprint={2601.06196}, archivePrefix={arXiv}, url={https://arxiv.org/abs/2601.06196}, }