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This research proposes a novel pretraining strategy that aligns base language models with target distributions by optimizing domain mixture weights in log-likelihood space, offering an alternative to direct knowledge distillation. Experimental results on NanoGPT demonstrate that this approach consistently reduces KL divergence and improves downstream task alignment relative to standard Pile weighting. The method provides a fixed recipe for distributional alignment that is particularly relevant for researchers exploring efficient model adaptation without relying solely on distilled datasets.
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Domain Mixture Design via Log-Likelihood Differences for Aligning Language Models with a Target Model

arXiv2 min read

arXiv:2603.16622v2 Announce Type: replace Abstract: Instead of directly distilling a language model, this study addresses the problem of aligning a base model with a target model in distribution by designing the domain mixture of training data for pretraining or continued pretraining as a fixed training recipe. We propose a method for determining domain weights by viewing models as points in log-likelihood space and aligning the training update direction with the direction toward the target model. Experiments with NanoGPT show that the proposed method consistently reduces the KL divergence between the trained base model and the target model relative to training with Pile-original weighting. Although knowledge distillation remains more effective when available, the proposed method achieves meaningful alignment, and downstream task performance also tends to become closer to that of the target model.

Abstract:Instead of directly distilling a language model, this study addresses the problem of aligning a base model with a target model in distribution by designing the domain mixture of training data for pretraining or continued pretraining as a fixed training recipe. We propose a method for determining domain weights by viewing models as points in log-likelihood space and aligning the training update direction with the direction toward the target model. Experiments with NanoGPT show that the proposed method consistently reduces the KL divergence between the trained base model and the target model relative to training with Pile-original weighting. Although knowledge distillation remains more effective when available, the proposed method achieves meaningful alignment, and downstream task performance also tends to become closer to that of the target model.

Computation and Language (cs.CL)

arXiv:2603.16622 [cs.CL]

(or arXiv:2603.16622v2 [cs.CL] for this version)

https://doi.org/10.48550/arXiv.2603.16622 Focus to learn more arXiv-issued DOI via DataCite

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Full text under the publisher's open licence · 220 words

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