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Generative modeling within constrained sets is essential for scientific and engineering applications involving physical, geometric, or safety requirements (e.g., molecular generation, robotics). We present a unified framework for…

Machine Learning · Computer Science 2026-04-21 Kijung Jeon , Michael Muehlebach , Molei Tao

The main advantages of diffusion language models over autoregressive (AR) models lie in their ability to support parallel generation and bidirectional attention, enabling a more controllable generation process. In recent years, open-source…

Machine Learning · Computer Science 2025-12-24 Haocheng Sun , Cynthia Xin Wen , Edward Hong Wang

Whereas diverse variations of diffusion models exist, extending the linear diffusion into a nonlinear diffusion process is investigated by very few works. The nonlinearity effect has been hardly understood, but intuitively, there would be…

Machine Learning · Computer Science 2022-10-14 Dongjun Kim , Byeonghu Na , Se Jung Kwon , Dongsoo Lee , Wanmo Kang , Il-Chul Moon

Diffusion probabilistic models (DPMs) are a new class of generative models that have achieved state-of-the-art generation quality in various domains. Despite the promise, one major drawback of DPMs is the slow generation speed due to the…

Machine Learning · Computer Science 2023-06-16 Enshu Liu , Xuefei Ning , Zinan Lin , Huazhong Yang , Yu Wang

Diffusion Language Models (DLMs) promise parallel generation and bidirectional context, yet they underperform autoregressive (AR) models in both likelihood modeling and generated text quality. We identify that this performance gap arises…

Computation and Language · Computer Science 2025-05-27 Litu Rout , Constantine Caramanis , Sanjay Shakkottai

Large Language Models (LLMs) have recently been successfully applied to regression tasks -- such as time series forecasting and tabular prediction -- by leveraging their in-context learning abilities. However, their autoregressive decoding…

Machine Learning · Computer Science 2026-03-04 Julianna Piskorz , Katarzyna Kobalczyk , Mihaela van der Schaar

Diffusion Models (DMs) have demonstrated state-of-the-art performance in content generation without requiring adversarial training. These models are trained using a two-step process. First, a forward - diffusion - process gradually adds…

Computer Vision and Pattern Recognition · Computer Science 2024-03-13 Anwaar Ulhaq , Naveed Akhtar

Diffusion modeling (DM) has high-quality generative performance, and the sampling problem is an important part of the DM performance. Thanks to efficient differential equation solvers, the sampling speed can be reduced while higher sampling…

Computer Vision and Pattern Recognition · Computer Science 2023-11-14 Zitong Cheng

Accurate imputation is essential for the reliability and success of downstream tasks. Recently, diffusion models have attracted great attention in this field. However, these models neglect the latent distribution in a lower-dimensional…

Machine Learning · Computer Science 2024-09-16 Guojun Liang , Najmeh Abiri , Atiye Sadat Hashemi , Jens Lundström , Stefan Byttner , Prayag Tiwari

In recent years, large language models (LLMs) have witnessed remarkable advancements, with the test-time scaling law consistently enhancing the reasoning capabilities. Through systematic evaluation and exploration of a diverse spectrum of…

Computation and Language · Computer Science 2025-11-03 Chenyang Shao , Sijian Ren , Fengli Xu , Yong Li

Masked Language Model (MLM) framework has been widely adopted for self-supervised language pre-training. In this paper, we argue that randomly sampled masks in MLM would lead to undesirably large gradient variance. Thus, we theoretically…

Computation and Language · Computer Science 2020-10-15 Mingzhi Zheng , Dinghan Shen , Yelong Shen , Weizhu Chen , Lin Xiao

Autoregressive language models are the currently dominant paradigm for text generation, but they have some fundamental limitations that cannot be remedied by scale-for example inherently sequential and unidirectional generation. While…

Computation and Language · Computer Science 2024-08-01 Yuchen Li , Alexandre Kirchmeyer , Aashay Mehta , Yilong Qin , Boris Dadachev , Kishore Papineni , Sanjiv Kumar , Andrej Risteski

Score-based diffusion models have achieved remarkable empirical success in generating high-quality samples from target data distributions. Among them, the Denoising Diffusion Probabilistic Model (DDPM) is one of the most widely used…

Machine Learning · Statistics 2025-12-16 Yuchen Jiao , Yuchen Zhou , Gen Li

Discrete diffusion language models (dLLMs) have recently emerged as a promising alternative to traditional autoregressive approaches, offering the flexibility to generate tokens in arbitrary orders and the potential of parallel decoding.…

Machine Learning · Computer Science 2026-04-28 Enshu Liu , Xuefei Ning , Yu Wang , Zinan Lin

Large Language Diffusion Models (LLDMs) benefit from a flexible decoding mechanism that enables parallelized inference and controllable generations over autoregressive models. Yet such flexibility introduces a critical challenge: inference…

Machine Learning · Computer Science 2025-12-05 Yichuan Mo , Quan Chen , Mingjie Li , Zeming Wei , Yisen Wang

Conditional Diffusion Models are powerful surrogates for emulating complex spatiotemporal dynamics, yet they often fail to match the accuracy of deterministic neural emulators for high-precision tasks. In this work, we address two critical…

Machine Learning · Computer Science 2026-04-13 Constantin Le Cleï , Nils Thuerey , Xiaoxiang Zhu

In arbitrary-order language models, it is an open question how to sample tokens in parallel from the correct joint distribution. With discrete diffusion models, the more tokens they generate in parallel, the less their predicted…

Machine Learning · Computer Science 2025-04-30 Gabe Guo , Stefano Ermon

Diffusion Models (DMs) iteratively denoise random samples to produce high-quality data. The iterative sampling process is derived from Stochastic Differential Equations (SDEs), allowing a speed-quality trade-off chosen at inference. Another…

Machine Learning · Computer Science 2024-09-27 Mattias Cross , Anton Ragni

While diffusion models excel at generating high-quality images, prior work reports a significant performance gap between diffusion and autoregressive (AR) methods in language modeling. In this work, we show that simple masked discrete…

Mask-based Diffusion Language Models (DLMs) struggle to revise incorrect tokens: once a token is generated, it typically remains fixed. The key challenge is to identify potential errors in the inputs. In this paper, we propose…

Computation and Language · Computer Science 2025-09-30 Zemin Huang , Yuhang Wang , Zhiyang Chen , Guo-Jun Qi