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This paper proposes a novel diffusion-index model for forecasting when predictors are high-dimensional matrix-valued time series. We apply an $\alpha$-PCA method to extract low-dimensional matrix factors and build a bilinear regression…

Econometrics · Economics 2025-08-07 Zhiren Ma , Qian Zhao , Riquan Zhang , Zhaoxing Gao

The ocean interior regulates Earth's climate but remains sparsely observed due to limited in situ measurements, while satellite observations are restricted to the surface. We present a depth-aware generative framework for reconstructing…

Atmospheric and Oceanic Physics · Physics 2026-04-06 Niloofar Asefi , Tianning Wu , Ruoying He , Ashesh Chattopadhyay

Continuous-time long-term event prediction plays an important role in many application scenarios. Most existing works rely on autoregressive frameworks to predict event sequences, which suffer from error accumulation, thus compromising…

Machine Learning · Computer Science 2023-11-03 Wang-Tao Zhou , Zhao Kang , Ling Tian

Denoising Diffusion Probabilistic Model (DDPM) is able to make flexible conditional image generation from prior noise to real data, by introducing an independent noise-aware classifier to provide conditional gradient guidance at each time…

Computer Vision and Pattern Recognition · Computer Science 2022-09-21 Shengming Li , Guangcong Zheng , Hui Wang , Taiping Yao , Yang Chen , Shoudong Ding , Xi Li

Spatiotemporal data imputation plays a crucial role in various fields such as traffic flow monitoring, air quality assessment, and climate prediction. However, spatiotemporal data collected by sensors often suffer from temporal…

Machine Learning · Computer Science 2024-12-18 Zijin Liu , Xiang Zhao , You Song

Weather forecasting requires not only accuracy but also the ability to perform probabilistic prediction. However, deterministic weather forecasting methods do not support probabilistic predictions, and conversely, probabilistic models tend…

Computer Vision and Pattern Recognition · Computer Science 2023-12-06 Donggeun Yoon , Minseok Seo , Doyi Kim , Yeji Choi , Donghyeon Cho

Survival analysis aims to estimate a time-to-event distribution from data with censored observations. Many existing methods either impose structural assumptions on the hazard function or discretize the time axis, which may limit flexibility…

Machine Learning · Computer Science 2026-05-22 Stanislav R. Kirpichenko , Andrei V. Konstantinov , Lev V. Utkin

Diffusion Probabilistic Models (DPMs) have been recently utilized to deal with various blind image restoration (IR) tasks, where they have demonstrated outstanding performance in terms of perceptual quality. However, the task-specific…

Computer Vision and Pattern Recognition · Computer Science 2025-10-07 Magauiya Zhussip , Iaroslav Koshelev , Stamatis Lefkimmiatis

In this paper, we consider a dynamic radio frequency sensing system aiming to spatially track multiple targets over time. We develop a conditional denoising diffusion probabilistic model (C-DDPM)-assisted framework that learns the temporal…

Signal Processing · Electrical Eng. & Systems 2025-10-30 Amirhossein Azarbahram , Onel L. A. López

Earth system forecasting has traditionally relied on complex physical models that are computationally expensive and require significant domain expertise. In the past decade, the unprecedented increase in spatiotemporal Earth observation…

Machine Learning · Computer Science 2023-12-29 Zhihan Gao , Xingjian Shi , Boran Han , Hao Wang , Xiaoyong Jin , Danielle Maddix , Yi Zhu , Mu Li , Yuyang Wang

This study aims to improve the spatial representation of uncertainties when regressing surface wind speeds from large-scale atmospheric predictors for sub-seasonal forecasting. Sub-seasonal forecasting often relies on large-scale…

Machine Learning · Computer Science 2025-10-21 Ganglin Tian , Anastase Alexandre Charantonis , Camille Le Coz , Alexis Tantet , Riwal Plougonven

Diffusion models have emerged as a key pillar of foundation models in visual domains. One of their critical applications is to universally solve different downstream inverse tasks via a single diffusion prior without re-training for each…

Machine Learning · Computer Science 2023-10-03 Morteza Mardani , Jiaming Song , Jan Kautz , Arash Vahdat

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

Coastal flooding poses increasing threats to communities worldwide, necessitating accurate and hyper-local inundation forecasting for effective emergency response. However, real-world deployment of forecasting systems is often constrained…

Generating high-quality synthetic time series is a fundamental yet challenging task across domains such as forecasting and anomaly detection, where real data can be scarce, noisy, or costly to collect. Unlike static data generation,…

Machine Learning · Computer Science 2025-09-25 MohammadReza EskandariNasab , Shah Muhammad Hamdi , Soukaina Filali Boubrahimi

This paper presents a modified model predictive control (MPC) framework for real-time power system operation. The framework incorporates a diffusion model tailored for time series generation to enhance the accuracy of the load forecasting…

Systems and Control · Electrical Eng. & Systems 2025-05-16 Linna Xu , Yongli Zhu

Forecasting infectious disease incidence can provide important information to guide public health planning, yet is difficult because epidemic dynamics are complex. Current mechanistic and statistical approaches often struggle to capture…

Machine Learning · Computer Science 2026-04-29 Joseph Lemaitre , Justin Lessler

Diffusion models are widely used in image generation because they can generate high-quality and realistic samples. This is in contrast to generative adversarial networks (GANs) and variational autoencoders (VAEs), which have some…

Computer Vision and Pattern Recognition · Computer Science 2025-08-21 Xudong Ling , Chaorong Li , Fengqing Qin , Peng Yang , Yuanyuan Huang

Audio inpainting aims to reconstruct missing segments in corrupted recordings. Most of existing methods produce plausible reconstructions when the gap lengths are short, but struggle to reconstruct gaps larger than about 100 ms. This paper…

Audio and Speech Processing · Electrical Eng. & Systems 2025-01-13 Eloi Moliner , Vesa Välimäki

Accurate and efficient surrogate models for aerodynamic surface pressure fields are essential for accelerating aircraft design and analysis, yet deterministic regressors trained with pointwise losses often smooth sharp nonlinear features.…

Fluid Dynamics · Physics 2026-04-14 Víctor Francés-Belda , Carlos Sanmiguel Vila , Rodrigo Castellanos
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