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Diffusion models have demonstrated strong generative capabilities across scientific domains, but often produce outputs that violate physical laws. We propose a new perspective by framing physics-informed generation as a sparse reward…

Machine Learning · Computer Science 2025-09-26 Mingze Yuan , Pengfei Jin , Na Li , Quanzheng Li

This paper explores the reconstruction of a space-dependent parameter in inverse diffusion problems, proposing a shape-optimization-based approach. We consider a Robin boundary condition, physically motivated in diffuse optical tomography…

Numerical Analysis · Mathematics 2026-01-27 Manabu Machida , Hirofumi Notsu , Julius Fergy Tiongson Rabago

The inverse design of microstructures plays a pivotal role in optimizing metamaterials with specific, targeted physical properties. While traditional forward design methods are constrained by their inability to explore the vast…

Computer Vision and Pattern Recognition · Computer Science 2025-02-06 Tianyang Xue , Haochen Li , Longdu Liu , Paul Henderson , Pengbin Tang , Lin Lu , Jikai Liu , Haisen Zhao , Hao Peng , Bernd Bickel

Machine learning has demonstrated remarkable promise for solving the trajectory generation problem and in paving the way for online use of trajectory optimization for resource-constrained spacecraft. However, a key shortcoming in current…

Robotics · Computer Science 2025-01-03 Julia Briden , Breanna Johnson , Richard Linares , Abhishek Cauligi

We present Wideband Back-Projection Diffusion, an end-to-end probabilistic framework for approximating the posterior distribution induced by the inverse scattering map from wideband scattering data. This framework produces highly accurate…

Machine Learning · Computer Science 2025-05-20 Borong Zhang , Martín Guerra , Qin Li , Leonardo Zepeda-Núñez

In this paper, we introduce a denoising diffusion algorithm to discover microstructures with nonlinear fine-tuned properties. Denoising diffusion probabilistic models are generative models that use diffusion-based dynamics to gradually…

Machine Learning · Computer Science 2023-06-14 Nikolaos N. Vlassis , WaiChing Sun

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

In recent years, large-scale pre-trained diffusion models have demonstrated their outstanding capabilities in image and video generation tasks. However, existing models tend to produce visual objects commonly found in the training dataset,…

Computer Vision and Pattern Recognition · Computer Science 2024-07-30 Changgu Chen , Libing Yang , Xiaoyan Yang , Lianggangxu Chen , Gaoqi He , CHangbo Wang , Yang Li

The inverse problem of backward diffusion is known to be ill-posed and highly unstable. Backward diffusion processes appear naturally in image enhancement and deblurring applications. It is therefore greatly desirable to establish a…

Numerical Analysis · Mathematics 2020-06-18 Leif Bergerhoff , Marcelo Cárdenas , Joachim Weickert , Martin Welk

Inverse problems are fundamental to science and engineering, where the goal is to infer an underlying signal or state from incomplete or noisy measurements. Recent approaches employ diffusion models as powerful implicit priors for such…

Machine Learning · Computer Science 2025-11-27 Bilal Ahmed , Joseph G. Makin

Solving partial differential equations (PDEs) on fine spatio-temporal scales for high-fidelity solutions is critical for numerous scientific breakthroughs. Yet, this process can be prohibitively expensive, owing to the inherent complexities…

Numerical Analysis · Mathematics 2024-04-09 Yulong Lu , Wuzhe Xu

The correct insertion of virtual objects in images of real-world scenes requires a deep understanding of the scene's lighting, geometry and materials, as well as the image formation process. While recent large-scale diffusion models have…

Computer Vision and Pattern Recognition · Computer Science 2024-08-20 Ruofan Liang , Zan Gojcic , Merlin Nimier-David , David Acuna , Nandita Vijaykumar , Sanja Fidler , Zian Wang

Diffusion models, a powerful and universal generative AI technology, have achieved tremendous success in computer vision, audio, reinforcement learning, and computational biology. In these applications, diffusion models provide flexible…

Machine Learning · Computer Science 2024-04-12 Minshuo Chen , Song Mei , Jianqing Fan , Mengdi Wang

Popularized by their strong image generation performance, diffusion and related methods for generative modeling have found widespread success in visual media applications. In particular, diffusion methods have enabled new approaches to data…

Image and Video Processing · Electrical Eng. & Systems 2026-01-28 Yibo Yang , Stephan Mandt

Designing fluorescent small molecules with tailored optical and physicochemical properties requires navigating vast, underexplored chemical space while satisfying multiple objectives and constraints. Conventional generate-score-screen…

Machine Learning · Computer Science 2026-01-21 Yanheng Li , Zhichen Pu , Lijiang Yang , Zehao Zhou , Yi Qin Gao

High-energy collisions at the Large Hadron Collider (LHC) provide valuable insights into open questions in particle physics. However, detector effects must be corrected before measurements can be compared to certain theoretical predictions…

High Energy Physics - Experiment · Physics 2023-05-18 Alexander Shmakov , Kevin Greif , Michael Fenton , Aishik Ghosh , Pierre Baldi , Daniel Whiteson

As deep generative models proliferate across the AI landscape, industrial practitioners still face critical yet unanswered questions about which deep generative models best suit complex manufacturing design tasks. This work addresses this…

Machine Learning · Computer Science 2025-08-27 Fouad Oubari , Raphael Meunier , Rodrigue Décatoire , Mathilde Mougeot

Diffusion models have been used as priors for solving inverse problems. However, existing approaches typically overlook side information that could significantly improve reconstruction quality, especially in severely ill-posed settings. In…

Computer Vision and Pattern Recognition · Computer Science 2026-05-27 Mahdi Farahbakhsh , Vishnu Teja Kunde , Dileep Kalathil , Krishna Narayanan , Jean-Francois Chamberland

Diffusion models have recently attained significant interest within the community owing to their strong performance as generative models. Furthermore, its application to inverse problems have demonstrated state-of-the-art performance.…

Image and Video Processing · Electrical Eng. & Systems 2022-03-22 Hyungjin Chung , Byeongsu Sim , Jong Chul Ye

Synthetic dataset generation in Computer Vision, particularly for industrial applications, is still underexplored. Industrial defect segmentation, for instance, requires highly accurate labels, yet acquiring such data is costly and…

Computer Vision and Pattern Recognition · Computer Science 2026-01-28 Emanuele Caruso , Alessandro Simoni , Francesco Pelosin