Beyond Mode-Seeking RL: Trajectory-Balance Post-Training for Diffusion Language Models
On the map: Diffusion models → Discrete and text diffusion
Abstract (arXiv)
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 (Trajectory Flow baLancing), 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. 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.
Key facts. Cited by 3 papers in the map (data through 14 Oct 2026). Placed in Discrete and text diffusion, one of 14 directions in Diffusion models. Builds on 18 of its 25 references that are in the map. First posted on arXiv 13 May 2026.
Builds on
18 of 25 references.
Closest ancestors · 5
Same direction, newest first
- 2026Reinforcement Learning for Diffusion LLMs with Entropy-Guided Step Selection and Stepwise Advantages13 Mar
- 2025SPG: Sandwiched Policy Gradient for Masked Diffusion Language Models10 Oct
- 2025Dream 7B: Diffusion Large Language Models21 Aug
- 2025wd1: Weighted Policy Optimization for Reasoning in Diffusion Language Models7 Jul
- 2025Large Language Diffusion Models14 Feb
Other references · 13
- 2021Training Verifiers to Solve Math Word Problemscited by 10,109
- 2021Evaluating Large Language Models Trained on Codecited by 8,320
- 2021Program Synthesis with Large Language Modelscited by 3,637
- 2024LiveCodeBench: Holistic and Contamination Free Evaluation of Large Language Models for Codecited by 2,004
- 2025Fast-dLLM: Training-free Acceleration of Diffusion LLM by Enabling KV Cache and Parallel Decodingcited by 420
- 2021GFlowNet Foundationscited by 290
- 2025LLaDA 1.5: Variance-Reduced Preference Optimization for Large Language Diffusion Modelscited by 285
- 2025d1: Scaling Reasoning in Diffusion Large Language Models via Reinforcement Learningcited by 186
- 2025KodCode: A Diverse, Challenging, and Verifiable Synthetic Dataset for Codingcited by 119
- 2025ACECODER: Acing Coder RL via Automated Test-Case Synthesiscited by 93
- 2025FlowRL: Matching Reward Distributions for LLM Reasoningcited by 40
- 2025Principled RL for Diffusion LLMs Emerges from a Sequence-Level Perspectivecited by 34
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Citing papers per year: 2026: 3.
3 papers.
Similar, not cited
Close in wording, no citation either way
- 2026On Trajectory-Aware Training for Masked Diffusion Language Models
- 2025Inference-Time Scaling of Diffusion Language Models via Trajectory Refinement
- 2025Reasoning in Diffusion Large Language Models is Concentrated in Dynamic Confusion Zones
- 2025MDPO: Overcoming the Training-Inference Divide of Masked Diffusion Language Models
- 2026Self-Distilled Trajectory-Aware Boltzmann Modeling: Bridging the Training-Inference Discrepancy in Diffusion Language Models
- 2026Read the Trace, Steer the Path: Trajectory-Aware Reinforcement Learning for Diffusion Language Models
- 2026SLIM-RL: Risk-Budgeted Random-Masking RL for Diffusion LLMs Without Trajectory Slicing
- 2026LOCKR: A Hidden-State Trajectory-Guided Planner for Detecting and Repairing Stable-but-Wrong Lock-In in Diffusion Language Models