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Physics-guided sampling with diffusion priors has recently shown strong performance in solving complex systems of partial differential equations (PDEs) from sparse observations. However, these methods are typically evaluated on benchmark…

Computational Physics · Physics 2026-04-21 Andrew Millard , Zheng Zhao , Henrik Pedersen

We analyze the problem of preparing quantum Gibbs states of lattice spin Hamiltonians with local and commuting terms on a quantum computer and in nature. Our central result is an equivalence between the behavior of correlations in the Gibbs…

Quantum Physics · Physics 2016-06-08 Michael J. Kastoryano , Fernando G. S. L. Brandao

Spatio-temporal modeling is foundational for smart city applications, yet it is often hindered by data scarcity in many cities and regions. To bridge this gap, we propose a novel generative pre-training framework, GPD, for spatio-temporal…

Machine Learning · Computer Science 2024-03-26 Yuan Yuan , Chenyang Shao , Jingtao Ding , Depeng Jin , Yong Li

Generative diffusions are a powerful class of Monte Carlo samplers that leverage bridging Markov processes to approximate complex, high-dimensional distributions, such as those found in image processing and language models. Despite their…

Machine Learning · Statistics 2025-02-20 Zheng Zhao , Ziwei Luo , Jens Sjölund , Thomas B. Schön

The inadequate mixing of conventional Markov Chain Monte Carlo (MCMC) methods for multi-modal distributions presents a significant challenge in practical applications such as Bayesian inference and molecular dynamics. Addressing this, we…

Machine Learning · Statistics 2024-05-30 Wenlin Chen , Mingtian Zhang , Brooks Paige , José Miguel Hernández-Lobato , David Barber

Machine learning models struggle with generalization when encountering out-of-distribution (OOD) samples with unexpected distribution shifts. For vision tasks, recent studies have shown that test-time adaptation employing diffusion models…

Computer Vision and Pattern Recognition · Computer Science 2024-04-03 Yun-Yun Tsai , Fu-Chen Chen , Albert Y. C. Chen , Junfeng Yang , Che-Chun Su , Min Sun , Cheng-Hao Kuo

This paper provides an elementary, self-contained analysis of diffusion-based sampling methods for generative modeling. In contrast to existing approaches that rely on continuous-time processes and then discretize, our treatment works…

Machine Learning · Statistics 2025-06-25 Galen Reeves , Henry D. Pfister

We present Generative Predictive Control (GPC), an inference-time method for improving pretrained behavior-cloning policies without retraining. GPC augments a frozen diffusion policy at deployment with an action-conditioned world model…

Robotics · Computer Science 2026-03-13 Han Qi , Haocheng Yin , Aris Zhu , Yilun Du , Heng Yang

Capitalizing on the complementary advantages of generative and discriminative models has always been a compelling vision in machine learning, backed by a growing body of research. This work discloses the hidden semantic structure within…

Computer Vision and Pattern Recognition · Computer Science 2025-01-03 Mingjia Li , Shuang Li , Tongrui Su , Longhui Yuan , Jian Liang , Wei Li

Physics-informed deep learning has been developed as a novel paradigm for learning physical dynamics recently. While general physics-informed deep learning methods have shown early promise in learning fluid dynamics, they are difficult to…

Fluid Dynamics · Physics 2024-06-07 Jing Qiu , Jiancheng Huang , Xiangdong Zhang , Zeng Lin , Minglei Pan , Zengding Liu , Fen Miao

The advancements in generative modeling, particularly the advent of diffusion models, have sparked a fundamental question: how can these models be effectively used for discriminative tasks? In this work, we find that generative models can…

Computer Vision and Pattern Recognition · Computer Science 2023-12-01 Mihir Prabhudesai , Tsung-Wei Ke , Alexander C. Li , Deepak Pathak , Katerina Fragkiadaki

We present GATSBI, a generative model that can transform a sequence of raw observations into a structured latent representation that fully captures the spatio-temporal context of the agent's actions. In vision-based decision-making…

Computer Vision and Pattern Recognition · Computer Science 2021-04-12 Cheol-Hui Min , Jinseok Bae , Junho Lee , Young Min Kim

Speech super-resolution (SR) is the task that restores high-resolution speech from low-resolution input. Existing models employ simulated data and constrained experimental settings, which limit generalization to real-world SR. Predictive…

Audio and Speech Processing · Electrical Eng. & Systems 2024-01-26 Heming Wang , Eric W. Healy , DeLiang Wang

Diffusion models have become a standard approach for generative modeling in continuous domains, yet their application to discrete data remains challenging. We investigate why Gaussian diffusion models with the DDPM solver struggle to sample…

Computation and Language · Computer Science 2026-05-28 Alexander Shabalin , Simon Elistratov , Viacheslav Meshchaninov , Ildus Sadrtdinov , Dmitry Vetrov

Although diffusion models now occupy a central place in generative modeling, introductory treatments commonly assume Euclidean data and seldom clarify their connection to discrete-state analogues. This article is a self-contained primer on…

Machine Learning · Statistics 2025-12-05 Vincent Pauline , Tobias Höppe , Kirill Neklyudov , Alexander Tong , Stefan Bauer , Andrea Dittadi

Learning from a large corpus of data, pre-trained models have achieved impressive progress nowadays. As popular generative pre-training, diffusion models capture both low-level visual knowledge and high-level semantic relations. In this…

Computer Vision and Pattern Recognition · Computer Science 2023-03-20 Chaofan Ma , Yuhuan Yang , Chen Ju , Fei Zhang , Jinxiang Liu , Yu Wang , Ya Zhang , Yanfeng Wang

In this study, we introduce Generative Manufacturing Systems (GMS) as a novel approach to effectively manage and coordinate autonomous manufacturing assets, thereby enhancing their responsiveness and flexibility to address a wide array of…

Machine Learning · Computer Science 2025-01-10 Xingyu Li , Fei Tao , Wei Ye , Aydin Nassehi , John W. Sutherland

In light of the widespread success of generative models, a significant amount of research has gone into speeding up their sampling time. However, generative models are often sampled multiple times to obtain a diverse set incurring a cost…

Machine Learning · Computer Science 2023-11-27 Gabriele Corso , Yilun Xu , Valentin de Bortoli , Regina Barzilay , Tommi Jaakkola

Physics-informed diffusion models typically enforce PDE constraints only on final outputs, leaving intermediate representations unconstrained and prone to shortcut learning under shifted boundary conditions. We introduce **REPA-P**, a…

Machine Learning · Computer Science 2026-05-21 Haozhe Jia , Pengyu Yin , Wenshuo Chen , Shaofeng Liang , Lei Wang , Bowen Tian , Xiucheng Wang , Nanqian Jia , Yutao Yue

Multimodal contrastive models have achieved strong performance in text-audio retrieval and zero-shot settings, but improving joint embedding spaces remains an active research area. Less attention has been given to making these systems…

Sound · Computer Science 2025-06-25 Julien Guinot , Elio Quinton , György Fazekas