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Reconsidering Positional Supervision in Masked Diffusion Language Model Training
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Shows that LLaDA-8B-Instruct is sensitive to tiny one-position token shifts during iterative decoding, and proposes CTC-S (CTC with a slack token and a blank-only collapse map) as an auxiliary SFT loss that improves open-ended generation over CE-only SFT.
Problem
Masked diffusion language models are trained with position-wise cross-entropy, which may make them sensitive to small positional shifts during iterative parallel decoding, a known issue for CE-trained non-autoregressive translation decoders.
Approach
Adapts CTC from NAT to MDLM SFT as an auxiliary loss, using a special slack token as the blank and a modified collapse map that removes only slack tokens so duplicate content tokens (e.g., "**", "100") are preserved.
Key results
- On LLaDA-8B-Instruct, CE + CTC-S scores 55.1 on Arena-Hard vs 50.0 for CE-Only (reference) and 43.7 for original LLaDA, with significant gains on all four open-ended benchmarks.
- Shifting 1% of generated tokens by one position drops Arena-Hard win rate against the unintervened model well below 50%; CTC-S stays at or above 50% under the same intervention.
- On LLaDA-MoE, CE + CTC-S reaches 63.7 on Arena-Hard versus 50.0 for CE-Only, and CTC-S beats a block-diffusion-swept CE-Only baseline on five of six comparisons.
Surprising findings
- Random slack-token augmentation alone (Jitter) gives mixed results, with Arena-Hard nearly overlapping CE-Only, so the alignment-flexible CTC-S objective drives most of the gain.
- CTC-S model emits slack tokens selectively, with only 51.9% of MT-Bench samples containing any slack and only 4.9% of emitted slack tokens at subword-internal positions.
Limitations
- Experiments limited to the SFT stage; effect of positional relaxation during pre-training is unexplored.
- Evaluated on LLaDA-family models trained from scratch; generalization to MDLMs like Dream with shift-operation training is untested.
- CTC-S loss weight lambda and max slack ratio were fixed without tuning.
Experimental setup
Datasets: Magpie-Pro-300K-Filtered Arena-Hard-v2.0 MT-Bench WildBench Creative Writing Bench v3 GPQA MMLU MBPP IFEval GSM8K
Benchmarks: Arena-Hard-v2.0 MT-Bench WildBench Creative Writing Bench v3 GPQA MMLU MBPP IFEval GSM8K
Metrics: win rate average score paired bootstrap 95% confidence interval
Baselines: LLaDA-8B-Instruct CE-Only Jitter block diffusion
Builds on: connectionist temporal classification LLaDA d1 codebase Magpie
Closest papers by meaning
- Mean-Field Parallel Decoding for Discrete Diffusion Language Models (NeurIPS 2026 · similarity 0.90)
- A Theoretical Analysis of Why Masked Diffusion Models Mitigate the Reversal Curse (NeurIPS 2026 · similarity 0.89)
- StableMask: Refining Causal Masking in Decoder-only Transformer (ICML 2024 · similarity 0.88)
- UltraLLaDA: Scaling the Context Length to 128K for Diffusion Large Language Models (ICLR 2026 · similarity 0.88)
- SimSD: Simple Speculative Decoding in Diffusion Language Models (NeurIPS 2026 · similarity 0.88)
- Latent Refinement Decoding: Enhancing Diffusion Language Models by Refining Belief States (NeurIPS 2026 · similarity 0.88)
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