arXiv AI By Sekh Mainul Islam, Pepa Atanasova, Isabelle Augenstein

Multi-Step Knowledge Interaction Analysis via Rank-2 Subspace Disentanglement

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The paper introduces a rank‑2 projection subspace to disentangle parametric knowledge (PK) and context knowledge (CK) in natural language explanations (NLEs) generated by large language models. Unlike prior work that used a rank‑1 subspace and focused on single‑step generation, this study performs a multi‑step analysis across longer NLE sequences, revealing richer interactions such as complementary or supportive knowledge. Experiments on four QA datasets and three open‑weight LLMs show that the rank‑2 subspace better captures diverse PK–CK dynamics, with hallucinated generations aligning strongly with PK and context‑faithful generations balancing PK and CK alignment.

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