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Diffusion models have recently exhibited remarkable abilities to synthesize striking image samples since the introduction of denoising diffusion probabilistic models (DDPMs). Their key idea is to disrupt images into noise through a fixed…

Computer Vision and Pattern Recognition · Computer Science 2023-03-28 Zijian Zhang , Zhou Zhao , Jun Yu , Qi Tian

Diffusion models demonstrate remarkable capabilities in capturing complex data distributions and have achieved compelling results in many generative tasks. While they have recently been extended to dense prediction tasks such as depth…

Computer Vision and Pattern Recognition · Computer Science 2025-12-16 Haorui Ji , Taojun Lin , Hongdong Li

To generate data from trained diffusion models, most inference algorithms, such as DDPM, DDIM, and other variants, rely on discretizing the reverse SDEs or their equivalent ODEs. In this paper, we view such approaches as decomposing the…

Machine Learning · Statistics 2024-05-28 Xunpeng Huang , Difan Zou , Hanze Dong , Yi Zhang , Yi-An Ma , Tong Zhang

We present significant extensions to diffusion-based sequence generation models, blurring the line with autoregressive language models. We introduce hyperschedules, which assign distinct noise schedules to individual token positions,…

Machine Learning · Computer Science 2025-10-08 Nima Fathi , Torsten Scholak , Pierre-André Noël

Graph generation has been dominated by autoregressive models due to their simplicity and effectiveness, despite their sensitivity to ordering. Yet diffusion models have garnered increasing attention, as they offer comparable performance…

Machine Learning · Computer Science 2024-12-04 Lingxiao Zhao , Xueying Ding , Leman Akoglu

Set-based transformer models for amortized probabilistic inference and meta-learning, such as neural processes, prior-fitted networks, and tabular foundation models, excel at single-pass marginal prediction. However, many applications…

Disordered metamaterials are promising for programming physical properties across diverse applications, yet their inverse design remains challenging due to the non-intuitive structure-property relationships and large design spaces. Recent…

Computational Engineering, Finance, and Science · Computer Science 2026-03-18 Ziyuan Xie , Weipeng Xu , Dazhi Zhao , Wenchang Zhang , Daoyang Dong , Bingbing Xu , Ning Liu , Sheng Mao , Tianju Xue

Autoregressive models are a class of generative model that probabilistically predict the next output of a sequence based on previous inputs. The autoregressive sequence is by definition one-dimensional (1D), which is natural for language…

Machine Learning · Computer Science 2024-08-29 Yi Hong Teoh , Roger G. Melko

Discrete diffusion models form a powerful class of generative models across diverse domains, including text and graphs. However, existing approaches face fundamental limitations. Masked diffusion models suffer from irreversible errors due…

Machine Learning · Computer Science 2026-04-21 Marcel Kollovieh , Sirine Ayadi , Stephan Günnemann

Autoregressive models excel in modeling sequential dependencies by enforcing causal constraints, yet they struggle to capture complex bidirectional patterns due to their unidirectional nature. In contrast, mask-based models leverage…

Computation and Language · Computer Science 2024-09-18 S. Rohollah Hosseyni , Ali Ahmad Rahmani , S. Jamal Seyedmohammadi , Sanaz Seyedin , Arash Mohammadi

The inverse design of metasurfaces faces inherent challenges due to the nonlinear and highly complex relationship between geometric configurations and their electromagnetic behavior. Traditional optimization approaches often suffer from…

Graph diffusion models achieve state-of-the-art performance in graph generation but suffer from quadratic complexity in the number of nodes -- and much of their capacity is wasted modeling the absence of edges in sparse graphs. Inspired by…

Machine Learning · Computer Science 2026-05-13 Antoine Siraudin , Christopher Morris

Model analogies and exchange of ideas between physics or chemistry with biology or epidemiology have often involved inter-sectoral mapping of techniques. Material mechanics has benefitted hugely from such interpolations from mathematical…

Biological Physics · Physics 2022-06-06 Amit K Chattopadhyay , Bidisha Kundu , Sujit Kumar Nath , Elias C Aifantis

We propose a novel approach based on Denoising Diffusion Probabilistic Models (DDPMs) to control nonlinear dynamical systems. DDPMs are the state-of-art of generative models that have achieved success in a wide variety of sampling tasks. In…

Optimization and Control · Mathematics 2024-02-06 Karthik Elamvazhuthi , Darshan Gadginmath , Fabio Pasqualetti

Many visual scenes can be described as compositions of latent factors. Effective recognition, reasoning, and editing often require not only forming such compositional representations, but also solving the decomposition problem. One popular…

Computer Vision and Pattern Recognition · Computer Science 2026-02-11 Calvin Yeung , Ali Zakeri , Zhuowen Zou , Mohsen Imani

Diffusion-based language models (dLLMs) have emerged as a promising alternative to autoregressive language models, offering the potential for parallel token generation and bidirectional context modeling. However, harnessing this flexibility…

Computation and Language · Computer Science 2026-05-28 Jiyeon Kim , Sungik Choi , Yongrae Jo , Moontae Lee , Minjoon Seo

Inverse design approach, which directly generates optimal aerodynamic shape with neural network models to meet designated performance targets, has drawn enormous attention. However, the current state-of-the-art inverse design approach for…

Machine Learning · Computer Science 2025-03-11 Shisong Deng , Qiang Zhang , Zhengyang Cai

Diffusion models have recently emerged as effective generative frameworks for trajectory optimization, capable of producing high-quality and diverse solutions. However, training these models in a purely data-driven manner without explicit…

Robotics · Computer Science 2025-04-02 Anjian Li , Ryne Beeson

Mastering dexterous robotic manipulation of deformable objects is vital for overcoming the limitations of parallel grippers in real-world applications. Current trajectory optimisation approaches often struggle to solve such tasks due to the…

Robotics · Computer Science 2024-03-20 Jun Yamada , Shaohong Zhong , Jack Collins , Ingmar Posner

Recent years have witnessed the impressive progress in Neural Dependency Parsing. According to the different factorization approaches to the graph joint probabilities, existing parsers can be roughly divided into autoregressive and…

Computation and Language · Computer Science 2023-06-22 Ye Ma , Mingming Sun , Ping Li