Locally Confident, Globally Stuck: The Quality-Exploration Dilemma in Diffusion Language Models
On the map: LLM reasoning → Diffusion reasoning and test-time scaling
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Abstract (arXiv)
Diffusion large language models (dLLMs) theoretically permit token decoding in arbitrary order, a flexibility that could enable richer exploration of reasoning paths than autoregressive (AR) LLMs. In practice, however, random-order decoding often hurts generation quality. To mitigate this, low-confidence remasking improves single-sample quality (e.g., Pass@1) by prioritizing confident tokens, but it also suppresses exploration and limits multi-sample gains (e.g., Pass@k), creating a fundamental quality--exploration dilemma. In this paper, we provide a unified explanation of this dilemma. We show that low-confidence remasking improves a myopic proxy for quality while provably constraining the entropy of the induced sequence distribution. To overcome this limitation, we characterize the optimal distribution that explicitly balances quality and exploration, and develop a simple Independent Metropolis--Hastings sampler that approximately targets this distribution during decoding. Experiments across a range of reasoning benchmarks including MATH500, AIME24/25, HumanEval, and MBPP show that our approach yields better exploration-quality tradeoff than both random and low-confidence remasking.
Key facts. Cited by 5 papers in the map (data through 14 Oct 2026). Placed in Diffusion reasoning and test-time scaling, one of 17 directions in LLM reasoning. Builds on 42 of its 53 references that are in the map. First posted on arXiv 1 Apr 2026.
Builds on
42 of 53 references.
Closest ancestors · 3
Same direction, newest first
- 2025d-TreeRPO: Towards More Reliable Policy Optimization for Diffusion Language Models10 Dec
- 2025Beyond Surface Reasoning: Unveiling the True Long Chain-of-Thought Capacity of Diffusion Large Language Models10 Oct
- 2025d1: Scaling Reasoning in Diffusion Large Language Models via Reinforcement Learning16 Apr
Other references · 39
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- 2025Large Language Diffusion Modelscited by 912
- 2024Simple and Effective Masked Diffusion Language Modelscited by 848
- 2023Discrete Diffusion Modeling by Estimating the Ratios of the Data Distributioncited by 745
- 2024Simplified and Generalized Masked Diffusion for Discrete Datacited by 626
27 more
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- 2024The pitfalls of next-token predictioncited by 160
- 2025The Diffusion Dualitycited by 135
- 2025Accelerated Sampling from Masked Diffusion Models via Entropy Bounded Unmaskingcited by 131
- 2025Reasoning with Sampling: Your Base Model is Smarter Than You Thinkcited by 89
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- 2025Wide-In, Narrow-Out: Revokable Decoding for Efficient and Effective DLLMscited by 46
- 2025Accelerating Diffusion Large Language Models with SlowFast Sampling: The Three Golden Principlescited by 45
- 2025WeDLM: Reconciling Diffusion Language Models with Standard Causal Attention for Fast Inferencecited by 41
- 2025Plan for Speed: Dilated Scheduling for Masked Diffusion Language Modelscited by 34
- 2025A Survey on Parallel Text Generation: From Parallel Decoding to Diffusion Language Modelscited by 30
- 2025Roll the dice & look before you leap: Going beyond the creative limits of next-token predictioncited by 29
- 2025From Bits to Rounds: Parallel Decoding with Exploration for Diffusion Language Modelscited by 23
- 2025Improving Discrete Diffusion Unmasking Policies Beyond Explicit Reference Policiescited by 22
- 2025Climbing the Ladder of Reasoning: What LLMs Can-and Still Can't-Solve after SFT?cited by 21
- 2025Lookahead Unmasking Elicits Accurate Decoding in Diffusion Language Modelscited by 17
- 2025LoPA: Scaling dLLM Inference via Lookahead Parallel Decodingcited by 17
- 2026Improving Diffusion Language Model Decoding through Joint Search in Generation Order and Token Spacecited by 10
- 2025On Powerful Ways to Generate: Autoregression, Diffusion, and Beyondcited by 6
- 2026Discrete Diffusion Models Exploit Asymmetry to Solve Lookahead Planning Taskscited by 4
Built on by
Citing papers per year: 2026: 5.
5 papers.
- 2026From Interface to Inference: Eliciting Any-Order Inference from Any-Order Modelscited by 1
- 2026Focus on the Core: Empowering Diffusion Large Language Models by Self-Contrastcited by 0
- 2026Escaping Confidence Trap: Evolutionary Decoding for Mathematical Reasoning in Diffusion LLMscited by 0
- 2026Information-Guided Frontier Decoding: Contextual Utility-Driven Commitment in dMLLMscited by 0
- 2026Low-Confidence Remasking Traps Flexibility: Realizing Arbitrary-Order Potential for Diverse Rollouts in Diffusion LLMscited by 0
- 2026Low-Confidence Remasking Traps Flexibility: Realizing Arbitrary-Order Potential for Diverse Rollouts in Diffusion LLMs28 Sep 2026
- 2026Information-Guided Frontier Decoding: Contextual Utility-Driven Commitment in dMLLMs27 Aug 2026
- 2026Escaping Confidence Trap: Evolutionary Decoding for Mathematical Reasoning in Diffusion LLMs1 Aug 2026
- 2026From Interface to Inference: Eliciting Any-Order Inference from Any-Order Models29 Jul 2026
- 2026Focus on the Core: Empowering Diffusion Large Language Models by Self-Contrast2 May 2026
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- 2026A Tale of Two Temperatures: Simple, Efficient, and Diverse Sampling from Diffusion Language Models
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