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Beyond Pairs: Your Language Model is Secretly Optimizing a Preference Graph

GraphDPO generalizes DPO to preference graphs over ranked rollouts, enforcing transitivity and improving reasoning and program synthesis alignment with linear complexity.

Ning Liu, Chuanneng Sun, Kristina L Klinkner, Shervin Malmasi

Atlanta Poster Session 2, Wed, Dec 9, 4:30 PM–7:30 PM, Hall C1 · Published 2026

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