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STDec: Spatio-Temporal Stability Guided Decoding for dLLMs
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Training-free decoder for diffusion LLMs that replaces the global confidence threshold with token-adaptive thresholds from spatial (Gaussian-smoothed decoded neighborhood) and temporal (predicted-ID consistency) stability, yielding multi-x throughput gains at comparable scores.
Problem
Most dLLM decoders use a single global confidence threshold (top-k or fixed), ignoring local context from neighboring decoded tokens and cross-step consistency of predicted token IDs, which limits decoding speed.
Approach
Build a per-token threshold by Gaussian-smoothing a map that assigns low values to decoded tokens and high values to masked tokens (so masked tokens near decoded context get lower thresholds), then multiply by a relaxation factor for tokens whose top-1 ID has stayed unchanged for at least two consecutive steps and whose confidence was already above the low threshold.
Key results
- On MBPP with LLaDA-8B-Instruct, STDec achieves 14.17x speedup (TPS 80.47 vs 5.68) with score 38.40 vs 37.60.
- Averaged over five textual reasoning benchmarks with LLaDA, STDec gives 7.60x TPS speedup with average score 46.87 vs 46.59 for vanilla.
- On LaViDa-Reason multimodal math benchmarks, STDec averages 3.57x speedup (TPS 19.86 vs 5.57) with score 32.07 vs 31.75.
Surprising findings
- Mean smoothing (distance-agnostic) yields a notably larger score drop (HumanEval 40.85 vs 48.78 for Gaussian), showing distance-aware weighting matters.
- Temporal-aware decoding alone slightly raised GSM8K score (78.01 to 79.08) while accelerating 2.41x.
Limitations
- Gains are smaller for tasks generating few tokens, such as yes/no questions, as acknowledged by the authors.
- Hyperparameters (tau_high, tau_low, alpha, sigma) were tuned on HumanEval and checked on GSM8K; transfer to other settings is only partially shown.
- Several speedups are reported with some score drops (e.g., MathVista 46.20 vs 47.20 for STDec on LaViDa; grayed entries in tables).
Experimental setup
Datasets: HumanEval MBPP GPQA GSM8K MATH MathVerse MathVision MathVista GenEval DPGBench
Benchmarks: HumanEval MBPP GPQA GSM8K MATH MathVerse MathVision MathVista GenEval DPGBench
Metrics: TPS speedup Pass@1 accuracy
Baselines: Vanilla Dream Vanilla LLaDA Half-Step dKV-Cache Fast-dLLM (Parallel) LocalLeap Prefix-DLM
Builds on: LocalLeap Fast-dLLM dKV-Cache
Closest papers by meaning
- ST-Veto: Spatio-Temporal Token Veto for Diffusion MLLMs via Taylor Prediction and Visual Grounding (ICML 2026 · similarity 0.87)
- Free Draft-and-Verification: Toward Lossless Parallel Decoding for Diffusion Large Language Models (NeurIPS 2026 · similarity 0.87)
- Fast-dLLM++: Fr\'{e}chet Profile Decoding for Faster Diffusion LLM Inference (NeurIPS 2026 · similarity 0.87)
- PACE-dLLM: Elastic Block Decoding via Confidence Cliff Estimation for Diffusion Language Models (NeurIPS 2026 · similarity 0.86)
- AdaDecode: Accelerating LLM Decoding with Adaptive Layer Parallelism (ICML 2025 · similarity 0.86)
- DMax: Aggressive Parallel Decoding for dLLMs (NeurIPS 2026 · similarity 0.86)
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