arXiv — Machine Learning · · 3 min read

Multi-Objective Bayesian Optimization for Model Merging

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Computer Science > Machine Learning

arXiv:2608.14264 (cs)
[Submitted on 14 Aug 2026]

Title:Multi-Objective Bayesian Optimization for Model Merging

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Abstract: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.
Subjects: Machine Learning (cs.LG); Artificial Intelligence (cs.AI)
Cite as: arXiv:2608.14264 [cs.LG]
  (or arXiv:2608.14264v1 [cs.LG] for this version)
  https://doi.org/10.48550/arXiv.2608.14264
arXiv-issued DOI via DataCite (pending registration)

Submission history

From: Raul Astudillo [view email]
[v1] Fri, 14 Aug 2026 12:41:37 UTC (324 KB)
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