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A Geometric Perspective on Stabilizing Value Conflict Resolution

Research LLMs & Foundation Models

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TL;DR - This paper studies how chain-of-thought reasoning can stabilize LLM responses to conflicting human values by smoothing sharp directions in the loss landscape. A value-conflict-focused CoT design also improves moral-reasoning performance, suggesting a path toward more pluralistic alignment.

  • Scalar RLHF rewards can create optimization instability when compressing conflicting values into one signal.
  • CoT reasoning correlates with greater loss-landscape smoothing along its sharpest direction.
  • Value-conflict-focused CoT generalizes across different moral-reasoning benchmarks.
  • Explicitly redesigned reasoning dynamics further increase smoothing and moral-reasoning performance.

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A Geometric Perspective on Stabilizing Value Conflict Resolution

arXiv cs.LG Saket Reddy, Andy Liu 2026-07-20 arXiv:2607.17946
Public signals Semantic Scholar citations 0 · Semantic Scholar influential citations 0
Providers: Hugging Face · N/A OpenAlex · N/A Publisher · N/A Semantic Scholar · Citations 0 · Influential citations 0 X · N/A Fetched 2026-08-17 09:58:08.059594 UTC

TL;DR - This paper studies how chain-of-thought reasoning can stabilize LLM responses to conflicting human values by smoothing sharp directions in the loss landscape. A value-conflict-focused CoT design also improves moral-reasoning performance, suggesting a path toward more pluralistic alignment.

  • Scalar RLHF rewards can create optimization instability when compressing conflicting values into one signal.
  • CoT reasoning correlates with greater loss-landscape smoothing along its sharpest direction.
  • Value-conflict-focused CoT generalizes across different moral-reasoning benchmarks.
  • Explicitly redesigned reasoning dynamics further increase smoothing and moral-reasoning performance.
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