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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

Missing data in time series is a challenging issue affecting time series analysis. Missing data occurs due to problems like data drops or sensor malfunctioning. Imputation methods are used to fill in these values, with quality of imputation…

Machine Learning · Computer Science 2023-04-11 Karan Aggarwal , Jaideep Srivastava

Transition path theory (TPT) for diffusion processes is a framework for analysing the transitions of multiscale ergodic diffusion processes between disjoint metastable subsets of state space. Most methods for applying TPT involve the…

Numerical Analysis · Mathematics 2021-03-31 Nada Cvetković , Tim Conrad , Han Cheng Lie

Spatio-temporal (ST) prediction has garnered a De facto attention in earth sciences, such as meteorological prediction, human mobility perception. However, the scarcity of data coupled with the high expenses involved in sensor deployment…

Computer Vision and Pattern Recognition · Computer Science 2025-03-21 Yifan Duan , Jian Zhao , pengcheng , Junyuan Mao , Hao Wu , Jingyu Xu , Shilong Wang , Caoyuan Ma , Kai Wang , Kun Wang , Xuelong Li

We investigate the steady-state diffusion-approximation error for continuous-time queueing systems with generally distributed primitives. Across four canonical systems -- the $G/G/1$ and $G/M/\infty$ queues, the join-the-shortest-queue…

Probability · Mathematics 2025-09-03 Anton Braverman , Ziv Scully

Missing data is a major challenge in clinical research. In electronic medical records, often a large fraction of the values in laboratory tests and vital signs are missing. The missingness can lead to biased estimates and limit our ability…

Machine Learning · Computer Science 2023-04-18 Omer Noy , Ron Shamir

Synthetic vehicle speed trajectory generation is essential for evaluating vehicle control algorithms and connected vehicle technologies. Traditional Markov chain approaches suffer from discretization artifacts and limited expressiveness.…

Applications · Statistics 2026-02-06 Vadim Sokolov , Farnaz Behnia , Dominik Karbowski

Diffusion models achieve high-quality image generation but are limited by slow iterative sampling. Distillation methods alleviate this by enabling one- or few-step generation. Flow matching, originally introduced as a distinct framework,…

Computer Vision and Pattern Recognition · Computer Science 2025-12-04 Mingyuan Zhou , Yi Gu , Huangjie Zheng , Liangchen Song , Guande He , Yizhe Zhang , Wenze Hu , Yinfei Yang

Performativity means that the deployment of a predictive model incentivizes agents to strategically adapt their behavior, thereby inducing a model-dependent distribution shift. Practitioners often repeatedly retrain the model on data…

Optimization and Control · Mathematics 2026-02-09 Siyi Wang , Zifan Wang , Karl H. Johansson

We formulate and solve a regression problem with time-stamped distributional data. Distributions are considered as points in the Wasserstein space of probability measures, metrized by the 2-Wasserstein metric, and may represent images,…

Systems and Control · Electrical Eng. & Systems 2021-06-30 Amirhossein Karimi , Tryphon T. Georgiou

Diffusion models have demonstrated powerful data generation capabilities in various research fields such as image generation. However, in the field of vibration signal generation, the criteria for evaluating the quality of the generated…

Machine Learning · Computer Science 2024-07-02 Haiming Yi , Lei Hou , Yuhong Jin , Nasser A. Saeed , Ali Kandil , Hao Duan

We present a tensor train (TT) based algorithm designed for sampling from a target distribution and employ TT approximation to capture the high-dimensional probability density evolution of overdamped Langevin dynamics. This involves…

Optimization and Control · Mathematics 2025-03-13 Fuqun Han , Stanley Osher , Wuchen Li

Diffusion models have demonstrated remarkable generative capabilities in image processing tasks. We propose a Sparse condition Temporal Rewighted Integrated Distribution Estimation guided diffusion model (STRIDE) for sparse-view CT…

Computer Vision and Pattern Recognition · Computer Science 2025-09-30 Zekun Zhou , Yanru Gong , Liu Shi , Qiegen Liu

Diffusion Probabilistic Models (DPM) have shown remarkable efficacy in the synthesis of high-quality images. However, their inference process characteristically requires numerous, potentially hundreds, of iterative steps, which could…

Computer Vision and Pattern Recognition · Computer Science 2024-06-18 Mingxiao Li , Tingyu Qu , Ruicong Yao , Wei Sun , Marie-Francine Moens

While diffusion models excel at generating continuous data such as images, adapting them to discrete tasks has relied on indirect approaches that either operate in continuous embedding spaces or use token masking mechanisms, both of which…

Computer Vision and Pattern Recognition · Computer Science 2025-11-25 Xiao Li , Jiaqi Zhang , Shuxiang Zhang , Tianshui Chen , Liang Lin , Guangrun Wang

The development of video diffusion models unveils a significant challenge: the substantial computational demands. To mitigate this challenge, we note that the reverse process of diffusion exhibits an inherent entropy-reducing nature. Given…

Computer Vision and Pattern Recognition · Computer Science 2025-03-13 Lingmin Ran , Mike Zheng Shou

Diffusion model deployment has been suffering from high energy consumption and inference latency despite its superior performance in visual generation tasks. Dynamic voltage and frequency scaling (DVFS) offers a promising solution to…

Hardware Architecture · Computer Science 2026-04-13 Jinqi Wen , Tong Xie , Runsheng Wang , Meng Li

Pretrained diffusion models are effective priors for Bayesian inverse problems, but posterior sampling with these priors is often costly because data-consistency guidance is applied throughout the full reverse trajectory. Existing methods…

Machine Learning · Computer Science 2026-05-29 Abduragim Shtanchaev , Albina Ilina , Yazid Janati , Arip Asadulaev , Martin Takac , Eric Moulines

Diffusion model is the most advanced method in image generation and has been successfully applied to MRI reconstruction. However, the existing methods do not consider the characteristics of multi-coil acquisition of MRI data. Therefore, we…

Image and Video Processing · Electrical Eng. & Systems 2022-12-23 Chentao Cao , Zhuo-Xu Cui , Jing Cheng , Sen Jia , Hairong Zheng , Dong Liang , Yanjie Zhu

Diffusion generative models unlock new possibilities for inverse problems as they allow for the incorporation of strong empirical priors in scientific inference. Recently, diffusion models are repurposed for solving inverse problems using…

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