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SLIM introduces a method to reduce the computational cost of merging large language models by using structured evaluation points to predict optimal mixing coefficients. By constructing a quadratic surrogate function, this approach minimizes the number of expensive benchmark evaluations required to identify high-performing model combinations. The technique demonstrates improved prediction fidelity over random designs, offering a more efficient path for optimizing multi-expert mixtures within constrained budgets.
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SLIM: Simplex-Lattice Interpolation Merging

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arXiv:2610.01037v1 Announce Type: new Abstract: Optimizing merging coefficients for large language models can require many costly benchmark evaluations. We propose \textbf{Simplex-Lattice Interpolation Merging (SLIM)}, which constructs a quadratic surrogate of aggregate performance on the coefficient simplex using a classical mixture design. Evaluations of individual experts and equal-weight pairs determine the surrogate with the minimum number of measurements needed to identify a general quadratic on this domain. SLIM then optimizes the surrogate without further target-metric evaluations. Experiments on two model architectures demonstrate accurate prediction of unseen multi-expert mixtures and competitive merge performance under limited evaluation budgets. Matched-budget comparisons show that structured evaluation points improve prediction fidelity over random designs, including those using regularized fitting.

Abstract:Optimizing merging coefficients for large language models can require many costly benchmark evaluations. We propose \textbf{Simplex-Lattice Interpolation Merging (SLIM)}, which constructs a quadratic surrogate of aggregate performance on the coefficient simplex using a classical mixture design. Evaluations of individual experts and equal-weight pairs determine the surrogate with the minimum number of measurements needed to identify a general quadratic on this domain. SLIM then optimizes the surrogate without further target-metric evaluations. Experiments on two model architectures demonstrate accurate prediction of unseen multi-expert mixtures and competitive merge performance under limited evaluation budgets. Matched-budget comparisons show that structured evaluation points improve prediction fidelity over random designs, including those using regularized fitting.

Machine Learning (cs.LG)

arXiv:2610.01037 [cs.LG]

(or arXiv:2610.01037v1 [cs.LG] for this version)

https://doi.org/10.48550/arXiv.2610.01037 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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