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Provably Robust DPO: Aligning Language Models with Noisy Feedback
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abstract
Learning from preference-based feedback has recently gained traction as a promising approach to align language models with human interests. While these aligned generative models have demonstrated impressive capabilities across various tasks, their dependence on high-quality human preference data poses a bottleneck in practical applications. Specifically, noisy (incorrect and ambiguous) preference pairs in the dataset might restrict the language models from capturing human intent accurately. While practitioners have recently proposed heuristics to mitigate the effect of noisy preferences, a complete theoretical understanding of their workings remain elusive. In this work, we aim to bridge this gap by by introducing a general framework for policy optimization in the presence of random preference flips. We focus on the direct preference optimization (DPO) algorithm in particular since it assumes that preferences adhere to the Bradley-Terry-Luce (BTL) model, raising concerns about the impact of noisy data on the learned policy. We design a novel loss function, which de-bias the effect of noise on average, making a policy trained by minimizing that loss robust to the noise. Under log-linear parameterization of the policy class and assuming good feature coverage of the SFT policy, we prove that the sub-optimality gap of the proposed robust DPO (rDPO) policy compared to the optimal policy is of the order $O(\frac{1}{1-2\epsilon}\sqrt{\frac{d}{n}})$, where $\epsilon < 1/2$ is flip rate of labels, $d$ is policy parameter dimension and $n$ is size of dataset. Our experiments on IMDb sentiment generation and Anthropic's helpful-harmless dataset show that rDPO is robust to noise in preference labels compared to vanilla DPO and other heuristics proposed by practitioners.
Forward citations
Cited by 15 Pith papers
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Under 20–40% random preference-label flips, PACMR-DPO—a VNet-reweighted DPO with a prompt-augmentation-consistency meta-objective and central-difference LoRA meta-gradients—outperforms cDPO, IPO, rDPO, and Dr.DPO in j...
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SquareχPO, a square-loss variant of χPO, achieves optimal 1/sqrt(n) suboptimality under label privacy and Huber corruption for offline direct alignment with general function classes.
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MM-RLHF: The Next Step Forward in Multimodal LLM Alignment
A human-annotated multimodal preference dataset plus critique-based reward modeling and reward-margin-weighted DPO improves MLLM performance across many benchmarks.
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Filtering DPO training data by the absolute length-normalized reference model log-probability gap between preferred and rejected responses improves MT-Bench scores with 30-50% of the data.
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Symmetric losses preserve action rankings under symmetric label noise, and the paper's claim that they also handle asymmetric noise is invalid.
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