Beyond Mode-Seeking RL: Trajectory-Balance Post-Training for Diffusion Language Models
Abstract
Diffusion language models are a promising alternative to autoregressive models, yet post-training methods for them largely adapt reward-maximizing objectives. We identify a central failure mode in this setting we call *trajectory locking*: sampled reward-driven updates over-concentrate probability mass onto a narrow set of denoising paths, reducing coverage of alternative correct solutions under repeated sampling. To address this, we propose TraFL (**Tra**jectory **F**low ba**L**ancing), a trajectory-balance objective that trains the policy toward a reward-tilted target distribution anchored to a frozen reference model. We make this practical for diffusion language models with a diffusion-compatible sequence-level surrogate and a learned prompt-dependent normalization. Direct measurements of denoising-path diversity show that TraFL preserves reference-level path diversity (101% on average), compared with 87% for ESPO and 56% for JustGRPO. Across mathematical reasoning and code generation benchmarks, TraFL is the only evaluated post-training method that improves over the base model in every benchmark-length setting, with gains that persist as the sampling budget increases. The improvements transfer to held-out evaluations: TraFL stays above the base model on Minerva Math and is the strongest method on every LiveCodeBench difficulty split.
Then back it, or bet against it.
Related papers
Open the market on this paper to see 7 more related papers.