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ResMerge introduces a novel spectral merging framework specifically designed to address the unique challenges of combining reinforcement learning (RL) experts, challenging the conventional assumption that only leading singular directions hold primary task signals. By leveraging stable residual components for aggregation and selectively reintroducing head information based on cross-expert agreement, the method effectively mitigates conflicts while preserving specialized capabilities better than existing baselines. This research advances the state-of-the-art in model merging techniques for RL-trained models without requiring additional training.
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ResMerge: Residual-based Spectral Merging of Large Language Models

arXiv2 min read

arXiv:2606.02252v2 Announce Type: replace Abstract: Model merging offers a training-free way to combine multiple post-trained expert models, but merging experts obtained through reinforcement learning (RL) remains challenging. Existing spectral merging methods often assume that leading singular directions contain the main task signal, while lower-energy residual components can be compressed, selected, or attenuated to reduce interference. We find that this assumption does not hold for RL task vectors: after decomposing each task vector into a leading spectral head and a residual component, both parts can independently recover substantial behavior knowledge, while exhibiting different merging properties. The head is highly concentrated and informative but more prone to sharp cross-expert conflicts, whereas the residual component is more dispersed and provides a more stable basis for aggregation. Based on this observation, we propose ResMerge, a residual-based spectral merging framework for RL experts. ResMerge first constructs a stable residual backbone with Spherical Residual Consensus Adaptation, which estimates a reliability-weighted consensus direction on the Frobenius sphere. It then reintroduces leading-head information through a Lightweight Head Correction module gated by positive cross-expert agreement. Experiments across multiple RL expert groups and capability domains show that ResMerge better preserves expert capabilities than representative task-vector and spectral merging baselines.

Abstract:Model merging offers a training-free way to combine multiple post-trained expert models, but merging experts obtained through reinforcement learning (RL) remains challenging. Existing spectral merging methods often assume that leading singular directions contain the main task signal, while lower-energy residual components can be compressed, selected, or attenuated to reduce interference. We find that this assumption does not hold for RL task vectors: after decomposing each task vector into a leading spectral head and a residual component, both parts can independently recover substantial behavior knowledge, while exhibiting different merging properties. The head is highly concentrated and informative but more prone to sharp cross-expert conflicts, whereas the residual component is more dispersed and provides a more stable basis for aggregation. Based on this observation, we propose ResMerge, a residual-based spectral merging framework for RL experts. ResMerge first constructs a stable residual backbone with Spherical Residual Consensus Adaptation, which estimates a reliability-weighted consensus direction on the Frobenius sphere. It then reintroduces leading-head information through a Lightweight Head Correction module gated by positive cross-expert agreement. Experiments across multiple RL expert groups and capability domains show that ResMerge better preserves expert capabilities than representative task-vector and spectral merging baselines.

19 pages including appendix. Accepted to the EMNLP 2026 Main Conference

Computation and Language (cs.CL)

arXiv:2606.02252 [cs.CL]

(or arXiv:2606.02252v2 [cs.CL] for this version)

https://doi.org/10.48550/arXiv.2606.02252 Focus to learn more arXiv-issued DOI via DataCite

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Full text under the publisher's open licence · 298 words

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