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用于模型合并的多目标贝叶斯优化

Multi-Objective Bayesian Optimization for Model Merging

Utkarsh Agarwal, Vamshi Bonagiri, Raul Astudillo, Monojit Choudhury

arXiv 2608.14264首次发表:更新:

发表机构

Mohamed bin Zayed University of Artificial Intelligence(穆罕默德·本·扎耶德人工智能大学)

机构由 AI 辅助整理,请以论文原文为准。

AI 中文总结

该研究将模型合并的参数选择转化为黑箱多目标优化问题,提出MOBO-Merge框架,经实验验证其在多数场景下优于随机搜索,为模型合并提供了高效的搜索方案。

AI 中文摘要

模型合并直接在权重空间中组合已训练好的模型,相比额外微调提供了一种计算高效的替代方案。然而,选择合并参数十分困难,因为下游评估成本高昂、梯度不可用,且源模型的能力可能存在冲突。我们将合并参数选择表述为一个黑箱多目标优化问题,并提出了MOBO-Merge,这是一种与合并算子无关的框架,在有限的评估预算下使用多目标贝叶斯优化来近似帕累托前沿。我们在两模型指令-数学和三模型指令-数学-代码设置中,使用Linear、SLERP、TIES和分块合并算子评估了Qwen3-4B和Llama-3.1-8B。在保留的基准划分上,MOBO-Merge在12次报告的比较中有11次获得了比随机搜索更高的平均超体积。对于一维Linear插值,增益较小,但对于若干TIES、分块和三目标搜索,增益明显更大。没有任何合并算子是全局最优的:在四组家族-设置组合中,TIES在三组中表现最佳,而Block-Linear 4x在Llama三模型合并中性能最强。这些结果表明,多目标贝叶斯优化作为表达性合并参数化的搜索层具有重要价值。

英文摘要

Model merging combines trained models directly in weight space, offering a compute-efficient alternative to additional fine-tuning. Selecting merge parameters is nevertheless difficult because downstream evaluations are expensive, gradients are unavailable, and source capabilities can conflict. We formulate merge-parameter selection as a black-box multi-objective optimization problem and introduce MOBO-Merge, a merge-operator agnostic framework that uses multi-objective Bayesian optimization to approximate the Pareto front under a limited evaluation budget. We evaluate Qwen3-4B and Llama-3.1-8B in two-model instruction-math and three-model instruction-math-code settings using Linear, SLERP, TIES, and block-wise merge operators. On held-out benchmark partitions, MOBO-Merge obtains higher mean hypervolume than random search in 11 of 12 reported comparisons. The gain is small for one-dimensional Linear interpolation but substantially larger for several TIES, block-wise, and three-objective searches. No merge operator is uniformly best: TIES leads in three of four family-setting combinations, whereas Block-Linear 4x is strongest for the Llama three-model merge. These results show that multi-objective Bayesian optimization is valuable as a search layer for expressive merge parameterizations.

论文原文

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