CLAIITLGNEOct 6, 2025

The Geometry of Truth: Layer-wise Semantic Dynamics for Hallucination Detection in Large Language Models

arXiv:2510.04933v14 citationsh-index: 1
Originality Highly original
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This addresses the risk of factual inaccuracies in LLMs for high-stakes domains, offering a scalable, efficient solution.

The paper tackles the problem of hallucination detection in Large Language Models by introducing Layer-wise Semantic Dynamics (LSD), a geometric framework that analyzes hidden-state semantics across transformer layers, achieving an F1-score of 0.92 and a 5-20x speedup over sampling-based methods.

Large Language Models (LLMs) often produce fluent yet factually incorrect statements-a phenomenon known as hallucination-posing serious risks in high-stakes domains. We present Layer-wise Semantic Dynamics (LSD), a geometric framework for hallucination detection that analyzes the evolution of hidden-state semantics across transformer layers. Unlike prior methods that rely on multiple sampling passes or external verification sources, LSD operates intrinsically within the model's representational space. Using margin-based contrastive learning, LSD aligns hidden activations with ground-truth embeddings derived from a factual encoder, revealing a distinct separation in semantic trajectories: factual responses preserve stable alignment, while hallucinations exhibit pronounced semantic drift across depth. Evaluated on the TruthfulQA and synthetic factual-hallucination datasets, LSD achieves an F1-score of 0.92, AUROC of 0.96, and clustering accuracy of 0.89, outperforming SelfCheckGPT and Semantic Entropy baselines while requiring only a single forward pass. This efficiency yields a 5-20x speedup over sampling-based methods without sacrificing precision or interpretability. LSD offers a scalable, model-agnostic mechanism for real-time hallucination monitoring and provides new insights into the geometry of factual consistency within large language models.

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