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Masked diffusion models (MDMs) have shown promise in language modeling, yet their scalability and effectiveness in core language tasks, such as text generation and language understanding, remain underexplored. This paper establishes the…

Artificial Intelligence · Computer Science 2025-03-03 Shen Nie , Fengqi Zhu , Chao Du , Tianyu Pang , Qian Liu , Guangtao Zeng , Min Lin , Chongxuan Li

Recently proposed generative models for discrete data, such as Masked Diffusion Models (MDMs), exploit conditional independence approximations to reduce the computational cost of popular Auto-Regressive Models (ARMs), at the price of some…

Machine Learning · Statistics 2025-12-18 Hugo Lavenant , Giacomo Zanella

The rare-event sampling problem has long been the central limiting factor in molecular dynamics (MD), especially in biomolecular simulation. Recently, diffusion models such as BioEmu have emerged as powerful equilibrium samplers that…

Masked diffusion models (MDMs) offer a compelling alternative to autoregressive models (ARMs) for discrete text generation because they enable parallel token sampling, rather than sequential, left-to-right generation. This means potentially…

Machine Learning · Computer Science 2025-10-28 Iskander Azangulov , Teodora Pandeva , Niranjani Prasad , Javier Zazo , Sushrut Karmalkar

Masked diffusion models (MDM) are powerful generative models for discrete data that generate samples by progressively unmasking tokens in a sequence. Each token can take one of two states: masked or unmasked. We observe that token sequences…

Machine Learning · Computer Science 2025-10-23 Chen-Hao Chao , Wei-Fang Sun , Hanwen Liang , Chun-Yi Lee , Rahul G. Krishnan

Diffusion language models (DLMs) are emerging as a compelling alternative to the dominant autoregressive paradigm, offering inherent advantages in parallel generation and bidirectional context modeling. However, for the tasks with strict…

Artificial Intelligence · Computer Science 2026-04-30 Yihong Dong , Zhaoyu Ma , Xue Jiang , Zhiyuan Fan , Jiaru Qian , Yongmin Li , Jianha Xiao , Zhi Jin , Rongyu Cao , Binhua Li , Fei Huang , Yongbin Li , Ge Li

Sampling from constrained distributions has a wide range of applications, including in Bayesian optimization and robotics. Prior work establishes convergence and feasibility guarantees for constrained sampling, but assumes that the feasible…

Machine Learning · Computer Science 2026-05-13 Cornelius V. Braun , Tilman Burghoff , Marc Toussaint

Masked language modeling has become a standard pretraining objective for training encoder-based language models. In this approach, certain tokens in the input are masked, and the model learns to predict them using the surrounding context.…

Artificial Intelligence · Computer Science 2026-05-28 Gokul Srinivasagan , Kai Hartung , Munir Georges

Masked diffusion models (MDMs) have emerged as a popular research topic for generative modeling of discrete data, thanks to their superior performance over other discrete diffusion models, and are rivaling the auto-regressive models (ARMs)…

Machine Learning · Computer Science 2025-05-01 Kaiwen Zheng , Yongxin Chen , Hanzi Mao , Ming-Yu Liu , Jun Zhu , Qinsheng Zhang

Masked diffusion models (MDMs) have emerged as a promising alternative to autoregressive models (ARMs) for language modeling. However, MDMs are known to learn substantially more slowly than ARMs, which may become problematic when scaling…

Machine Learning · Computer Science 2026-05-14 Chunsan Hong , Sanghyun Lee , Chieh-Hsin Lai , Satoshi Hayakawa , Yuhta Takida , Yuki Mitsufuji , Seungryong Kim , Jong Chul Ye

Masked Diffusion Models (MDMs) enable flexible decoding orders, yet existing samplers remain largely greedy, selecting locally certain tokens without accounting for their downstream effects. We show that this myopia can increase cumulative…

Computation and Language · Computer Science 2026-05-25 Kaisen Yang , Jayden Teoh , Kaicheng Yang , Yitong Zhang , Alex Lamb

Part of the success of diffusion models stems from their ability to perform iterative refinement, i.e., repeatedly correcting outputs during generation. However, modern masked discrete diffusion lacks this capability: when a token is…

Machine Learning · Computer Science 2026-02-10 Guanghan Wang , Yair Schiff , Subham Sekhar Sahoo , Volodymyr Kuleshov

Masked diffusion models (MDMs) have emerged as a promising alternative to autoregressive models for language modeling, yet the effective design of transformer architectures for MDMs remains underexplored. In this paper, we show that…

Machine Learning · Computer Science 2026-05-26 Sanghyun Lee , Chunsan Hong , Seungryong Kim , Jonghyun Lee , Jongho Park , Dongmin Park

Large language models (LLMs) achieve remarkable generative performance, yet their output quality is dependent on the decoding strategy. While sampling-based methods (e.g., top-k, nucleus) and search-and-select based methods (e.g., beam…

Machine Learning · Computer Science 2026-05-12 Benjamin Patrick Evans , Sumitra Ganesh , Leo Ardon

Masked diffusion models (MDMs) have emerged as a promising alternative to autoregressive models, enabling parallel token generation while achieving competitive performance. Despite these advantages, MDMs face a fundamental limitation: once…

Machine Learning · Computer Science 2026-03-06 Yair Schiff , Omer Belhasin , Roy Uziel , Guanghan Wang , Marianne Arriola , Gilad Turok , Michael Elad , Volodymyr Kuleshov

Masked diffusion models (MDMs) have recently emerged as a novel framework for language modeling. MDMs generate sentences by iteratively denoising masked sequences, filling in [MASK] tokens step by step. Although MDMs support any-order…

Machine Learning · Computer Science 2026-02-27 Chunsan Hong , Seonho An , Min-Soo Kim , Jong Chul Ye

Energy-Based Models (EBMs) present a flexible and appealing way to represent uncertainty. Despite recent advances, training EBMs on high-dimensional data remains a challenging problem as the state-of-the-art approaches are costly, unstable,…

Machine Learning · Computer Science 2021-06-08 Will Grathwohl , Jacob Kelly , Milad Hashemi , Mohammad Norouzi , Kevin Swersky , David Duvenaud

A major bottleneck of standard auto-regressive large language models is that their inference process is inherently sequential, resulting in very long and costly inference times. To circumvent this, practitioners proposed a class of language…

Machine Learning · Computer Science 2025-11-11 Sitan Chen , Kevin Cong , Jerry Li

We propose enforcing constraints on Model-Based Diffusion by introducing emerging barrier functions inspired by interior point methods. We demonstrate that the standard Model-Based Diffusion algorithm can lead to catastrophic performance…

Robotics · Computer Science 2026-03-10 Raghav Mishra , Ian R. Manchester

Deep neural networks have amply demonstrated their prowess but estimating the reliability of their predictions remains challenging. Deep Ensembles are widely considered as being one of the best methods for generating uncertainty estimates…

Machine Learning · Computer Science 2021-06-28 Nikita Durasov , Timur Bagautdinov , Pierre Baque , Pascal Fua
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