From Backward Spreading to Forward Replay: Revisiting Target Construction in LLM Parameter Editing

arXiv cs.CL / 5/4/2026

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Key Points

  • Many LLM parameter editing approaches use “backward spreading,” where an ideal target hidden state at an anchor layer is distributed to earlier layers, but the method’s theoretical foundations and limitations have not been systematically studied.
  • The paper provides a structured analysis of backward spreading’s capability boundaries, practical constraints, and possible failure modes.
  • It proposes replacing backward spreading with “forward replay,” optimizing the anchor point at the first editing layer and then propagating it forward to generate accurate, mutually compatible target hidden states for later layers.
  • The new forward-propagation approach matches the computational complexity of existing methods while producing more accurate per-layer targets and integrating easily with existing parameter editing pipelines.

Abstract

LLM parameter editing methods commonly rely on computing an ideal target hidden-state at a target layer (referred as anchor point) and distributing the target vector to multiple preceding layers (commonly known as backward spreading) for cooperative editing. Although widely used for a long time, its underlying basis have not been systematically investigated. In this paper, we first conduct a systematic study of its foundations, which helps clarify its capability boundaries, practical considerations, and potential failure modes. Then, we propose a simple and elegant alternative that replaces backward spreading with forward-propagation. Instead of optimizing the target at the last editing layer, we optimize the anchor point at the first editing layer, and then propagate it forward to obtain accurate and mutually compatible target hidden-states for all subsequent editing layers. This approach achieves the same computational complexity as existing methods while producing more accurate layer-wise targets. Our method is simple, without interfering with either the computation of the initial target hidden state or any other components of the subsequent editing pipeline, and thus constituting a benefit for a wide range of LLM parameter editing methods.