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Weighted-Reward Preference Optimization for Implicit Model Fusion

ICLR 2025 · Large language models › Alignment and preferences · approach: Robust and calibrated DPO · 0 citations (OpenAlex)

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Proposes Weighted-Reward Preference Optimization (WRPO), an implicit model-fusion method that fuses heterogeneous open-source LLMs into LLaMA3-8B-Instruct via preference optimization with a progressively increasing weight on source-model preferred responses, avoiding vocabulary alignment and distribution merging.

Problem

Fusing heterogeneous open-source LLMs of different architectures and sizes into one target model is hard because explicit fusion requires vocabulary alignment and distribution merging, and naive preference optimization with off-policy source responses suffers from distribution shift.

Approach

Implicit fusion via preference optimization: the preferred response is a weighted mix of the best source-LLM response and the best target-LLM response, with the source weight alpha linearly increased from 0 to a target value during training, so the target gradually shifts its distribution toward source LLMs.

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
replace Target-SFT-DPO with Target-SFT-WRPOLLaMA3-8B-Instruct · AlpacaEval-2LC win rate: 5.2 pointsHelped
replace Target-SFT-DPO with Target-SFT-WRPOLLaMA3-8B-Instruct · Arena-Hardwin rate: 6.0 pointsHelped
increase source LLM count from 1 to 10 (ablation)WRPO · AlpacaEval-2LC win rate: 48.9 -> 55.9Helped
add rejected responses from source models (ablation)WRPO · AlpacaEval-2LC win rate: 55.9 -> 54.0Hurt
add rejected responses from source models (ablation)WRPO · MT-BenchOverall: 7.63 -> 7.52Hurt
combine WRPO with SimPO instead of SimPO alone (ablation)LLaMA3-8B-Instruct · AlpacaEval-2LC win rate: 53.9 -> 55.8Helped
combine WRPO with IPO instead of IPO alone (ablation)LLaMA3-8B-Instruct · AlpacaEval-2LC win rate: 51.1 -> 53.3Helped
use second-ranked instead of top-ranked source responses (ablation)WRPO · AlpacaEval-2LC win rate: 55.9 -> 53.7Hurt
remove target-model preferred responses by setting α=1 (ablation)WRPO on Target · AlpacaEval-2LC win rate: 25.8 pointsHurt
remove source-model preferred responses by setting α=0 (ablation)WRPO on Target · AlpacaEval-2LC win rate: 3.5 pointsHurt
remove source-model preferred responses by setting α=0 (ablation)WRPO on Target-SFT · AlpacaEval-2LC win rate: 5.2 pointsHurt
use dynamic rather than static fusion coefficient tuning (ablation)WRPO · AlpacaEval-2LC win rateHelped

Surprising findings

Limitations

Experimental setup

Datasets: UltraFeedback Arena-Hard MT-Bench AlpacaEval-2 Open LLM Leaderboard tasks

Benchmarks: AlpacaEval-2 Arena-Hard MT-Bench Open LLM Leaderboard (ARC, HellaSwag, MMLU, TruthfulQA, Winogrande, GSM8K)

Metrics: length-controlled win rate win rate MT-Bench score accuracy

Baselines: PackLLM-Top1-PPL LLM-Blender-Top1 MoA FuseLLM FuseChat DPO SimPO IPO

Builds on: DPO SimPO IPO FuseLLM FuseChat WPO

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