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Discrete diffusion models generate sequences by iteratively denoising samples corrupted by categorical noise, offering an appealing alternative to autoregressive decoding for structured and symbolic generation. However, standard training…

Machine Learning · Computer Science 2026-02-04 Huu Binh Ta , Michael Cardei , Alvaro Velasquez , Ferdinando Fioretto

Denoising diffusion models (DDMs) have recently attracted increasing attention by showing impressive synthesis quality. DDMs are built on a diffusion process that pushes data to the noise distribution and the models learn to denoise. In…

Machine Learning · Computer Science 2023-05-16 Jaemoo Choi , Yesom Park , Myungjoo Kang

Adjoint-based design optimizations are usually computationally expensive and those costs scale with resolution. To address this, researchers have proposed machine learning approaches for inverse design that can predict higher-resolution…

Machine Learning · Computer Science 2024-08-19 Milad Habibi , Mark Fuge

We present a systematic theoretical framework that interprets masked diffusion models (MDMs) as solutions to energy minimization problems in discrete optimal transport. Specifically, we prove that three distinct energy…

Machine Learning · Computer Science 2026-03-24 Sitong Chen , Shen Nie , Jiacheng Sun , Zijin Feng , Zhenguo Li , Ji-Rong Wen , Chongxuan Li

Masked diffusion language models (MDLMs) have emerged as a promising alternative to dominant autoregressive approaches. Although they achieve competitive performance on several tasks, a substantial gap remains in open-ended text generation.…

Computation and Language · Computer Science 2026-02-02 Mengyu Ye , Ryosuke Takahashi , Keito Kudo , Jun Suzuki

When Masked Diffusion Models (MDMs) generate sequences through iterative refinement, the rich internal computation over masked positions is discarded, forcing every subsequent refinement step to recompute the valuable internal information…

Large language models (LLMs) predominantly use autoregressive (AR) approaches, but masked diffusion models (MDMs) are emerging as viable alternatives. A key challenge in comparing AR and MDM paradigms is their typical architectural…

Machine Learning · Computer Science 2025-06-26 Shuchen Xue , Tianyu Xie , Tianyang Hu , Zijin Feng , Jiacheng Sun , Kenji Kawaguchi , Zhenguo Li , Zhi-Ming Ma

The self-supervised objective of masking-and-predicting has led to promising performance gains on a variety of downstream tasks. However, while most approaches randomly mask tokens, there is strong intuition that deciding what to mask can…

Vision-based motion capture solutions often struggle with occlusions, which result in the loss of critical joint information and hinder accurate 3D motion reconstruction. Other wearable alternatives also suffer from noisy or unstable data,…

Computer Vision and Pattern Recognition · Computer Science 2026-03-10 Junkun Jiang , Jie Chen , Ho Yin Au , Jingyu Xiang

Autoregressive (AR) language models enforce a fixed left-to-right generation order, creating a fundamental limitation when the required output structure conflicts with natural reasoning (e.g., producing answers before explanations due to…

Computation and Language · Computer Science 2026-01-30 Longxuan Yu , Yu Fu , Shaorong Zhang , Hui Liu , Mukund Varma T , Greg Ver Steeg , Yue Dong

Masked Diffusion Language Models (MDLMs) have recently emerged as a promising alternative to Autoregressive Language Models (ARLMs), leveraging a denoising objective that, in principle, should enable more uniform context utilisation. In…

Machine Learning · Computer Science 2025-11-27 Julianna Piskorz , Cristina Pinneri , Alvaro Correia , Motasem Alfarra , Risheek Garrepalli , Christos Louizos

Autoregressive decoding in large language models (LLMs) requires $\mathcal{O}(n)$ sequential steps for $n$ tokens, fundamentally limiting inference throughput. Recent diffusion-based LLMs (dLLMs) enable parallel token generation through…

Computation and Language · Computer Science 2025-10-06 Wenrui Bao , Zhiben Chen , Dan Xu , Yuzhang Shang

While diffusion language models (DLMs) have achieved competitive performance in text generation, improving their reasoning ability with reinforcement learning remains an active research area. Here, we introduce d2, a reasoning framework…

Machine Learning · Computer Science 2026-02-10 Guanghan Wang , Gilad Turok , Yair Schiff , Marianne Arriola , Volodymyr Kuleshov

Masked Diffusion Models (MDMs) offer flexible, non-autoregressive generation, but this freedom introduces a challenge: final output quality is highly sensitive to the decoding order. We are the first to formalize this issue, attributing the…

Computation and Language · Computer Science 2025-12-25 Ziyu Chen , Xinbei Jiang , Peng Sun , Tao Lin

Computationally intensive decoding procedures--including search, reranking, and self-critique--can improve the quality of language model (LM) outputs in problems spanning code generation, numerical reasoning, and dialog. Existing work…

Machine Learning · Computer Science 2024-10-08 Mehul Damani , Idan Shenfeld , Andi Peng , Andreea Bobu , Jacob Andreas

Inverse problems aim to determine parameters from observations, a crucial task in engineering and science. Lately, generative models, especially diffusion models, have gained popularity in this area for their ability to produce realistic…

Computer Vision and Pattern Recognition · Computer Science 2026-03-24 Gabriel della Maggiora , Luis Alberto Croquevielle , Nikita Deshpande , Harry Horsley , Thomas Heinis , Artur Yakimovich

A significant effort has been made to train neural networks that replicate algorithmic reasoning, but they often fail to learn the abstract concepts underlying these algorithms. This is evidenced by their inability to generalize to data…

Machine Learning · Computer Science 2020-10-26 Yujun Yan , Kevin Swersky , Danai Koutra , Parthasarathy Ranganathan , Milad Hashemi

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 Language Models (DLMs) have recently emerged as a promising alternative to traditional Autoregressive Models (ARMs). DLMs employ transformer encoders with bidirectional attention, enabling parallel token generation while…

Computation and Language · Computer Science 2025-12-11 Maximo Eduardo Rulli , Simone Petruzzi , Edoardo Michielon , Fabrizio Silvestri , Simone Scardapane , Alessio Devoto

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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