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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

Diffusion planning is a promising method for learning high-performance policies from offline data. To avoid the impact of discrepancies between planning and reality on performance, previous works generate new plans at each time step.…

Machine Learning · Computer Science 2025-11-27 Jiaming Guo , Rui Zhang , Zerun Li , Yunkai Gao , Shaohui Peng , Siming Lan , Xing Hu , Zidong Du , Xishan Zhang , Ling Li

Diffusion models have shown remarkable success across a wide range of generative tasks. However, they often suffer from spatially inconsistent generation, arguably due to the inherent locality of their denoising mechanisms. This can yield…

Machine Learning · Computer Science 2026-02-04 Wenshuai Zhao , Zhiyuan Li , Yi Zhao , Mohammad Hassan Vali , Martin Trapp , Joni Pajarinen , Juho Kannala , Arno Solin

Diffusion models have emerged as a promising approach for text generation, with recent works falling into two main categories: discrete and continuous diffusion models. Discrete diffusion models apply token corruption independently using…

Computation and Language · Computer Science 2025-05-29 Bocheng Li , Zhujin Gao , Linli Xu

This paper introduces an approach to endow generative diffusion processes the ability to satisfy and certify compliance with constraints and physical principles. The proposed method recast the traditional sampling process of generative…

Machine Learning · Computer Science 2024-11-05 Jacob K Christopher , Stephen Baek , Ferdinando Fioretto

In this work, we propose a novel framework to enable diffusion models to adapt their generation quality based on real-time network bandwidth constraints. Traditional diffusion models produce high-fidelity images by performing a fixed number…

Computer Vision and Pattern Recognition · Computer Science 2026-04-10 Xi Zhang , Hanwei Zhu , Yan Zhong , Jiamang Wang , Weisi Lin

Most end-to-end autonomous driving methods rely on imitation learning from single expert demonstrations, often leading to conservative and homogeneous behaviors that limit generalization in complex real-world scenarios. In this work, we…

Computer Vision and Pattern Recognition · Computer Science 2026-05-15 Ziying Song , Lin Liu , Hongyu Pan , Bencheng Liao , Mingzhe Guo , Lei Yang , Yongchang Zhang , Shaoqing Xu , Caiyan Jia , Yadan Luo

We introduce and study a class of probabilistic generative models, where the latent object is a finite-dimensional diffusion process on a finite time interval and the observed variable is drawn conditionally on the terminal point of the…

Probability · Mathematics 2019-06-03 Belinda Tzen , Maxim Raginsky

Swarm robotic trajectory planning faces challenges in computational efficiency, scalability, and safety, particularly in complex, obstacle-dense environments. To address these issues, we propose SwarmDiff, a hierarchical and scalable…

Robotics · Computer Science 2025-05-22 Kang Ding , Chunxuan Jiao , Yunze Hu , Kangjie Zhou , Pengying Wu , Yao Mu , Chang Liu

Flow-based generative models, such as diffusion models and flow matching models, have achieved remarkable success in learning complex data distributions. However, a critical gap remains for their deployment in safety-critical domains: the…

Machine Learning · Computer Science 2026-03-02 Darshan Gadginmath , Ahmed Allibhoy , Fabio Pasqualetti

Recovering high-dimensional signals from corrupted measurements is a central challenge in inverse problems. Recent advances in generative diffusion models have shown remarkable empirical success in providing strong data-driven priors, but…

Machine Learning · Computer Science 2025-09-26 Oscar Leong , Yann Traonmilin

Diffusion models have made significant strides in recent years, exhibiting strong generalization capabilities in planning and control tasks. However, most diffusion-based policies remain focused on reward maximization or cost minimization,…

Systems and Control · Electrical Eng. & Systems 2025-10-01 Xiaoyuan Cheng , Xiaohang Tang , Yiming Yang

Diffusion-based text-to-image models have shown immense potential for various image-related tasks. However, despite their prominence and popularity, customizing these models using unauthorized data also brings serious privacy and…

Computer Vision and Pattern Recognition · Computer Science 2024-12-30 Sen Peng , Jijia Yang , Mingyue Wang , Jianfei He , Xiaohua Jia

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

As one of the most successful generative models, diffusion models have demonstrated remarkable efficacy in synthesizing high-quality images. These models learn the underlying high-dimensional data distribution in an unsupervised manner.…

Computer Vision and Pattern Recognition · Computer Science 2024-12-12 Min Hou , Yueying Wu , Chang Xu , Yu-Hao Huang , Chenxi Bai , Le Wu , Jiang Bian

Conventional diffusion models typically relies on a fixed forward process, which implicitly defines complex marginal distributions over latent variables. This can often complicate the reverse process' task in learning generative…

Machine Learning · Statistics 2025-06-10 Grigory Bartosh , Dmitry Vetrov , Christian A. Naesseth

Diffusion models have shown remarkable performance on many generative tasks. Despite recent success, most diffusion models are restricted in that they only allow linear transformation of the data distribution. In contrast, broader family of…

Machine Learning · Computer Science 2024-06-04 Grigory Bartosh , Dmitry Vetrov , Christian A. Naesseth

We present a framework for safety-critical optimal control of physical systems based on denoising diffusion probabilistic models (DDPMs). The technology of control barrier functions (CBFs), encoding desired safety constraints, is used in…

Robotics · Computer Science 2023-06-28 Nicolò Botteghi , Federico Califano , Mannes Poel , Christoph Brune

The reconstruction of unsteady flow fields from limited measurements is a challenging and crucial task for many engineering applications. Machine learning models are gaining popularity for solving this problem due to their ability to learn…

Fluid Dynamics · Physics 2026-01-09 Marc Amorós-Trepat , Luis Medrano-Navarro , Qiang Liu , Luca Guastoni , Nils Thuerey

Generative modelling over continuous-time geometric constructs, a.k.a such as handwriting, sketches, drawings etc., have been accomplished through autoregressive distributions. Such strictly-ordered discrete factorization however falls…

Machine Learning · Computer Science 2023-04-11 Ayan Das , Yongxin Yang , Timothy Hospedales , Tao Xiang , Yi-Zhe Song