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While diffusion models can successfully generate data and make predictions, they are predominantly designed for static images. We propose an approach for efficiently training diffusion models for probabilistic spatiotemporal forecasting,…

Machine Learning · Computer Science 2023-10-12 Salva Rühling Cachay , Bo Zhao , Hailey Joren , Rose Yu

Generative models play an important role in missing data imputation in that they aim to learn the joint distribution of full data. However, applying advanced deep generative models (such as Diffusion models) to missing data imputation is…

Machine Learning · Computer Science 2025-05-27 Hengrui Zhang , Liancheng Fang , Qitian Wu , Philip S. Yu

Imputing missing values in spatial-temporal traffic data is essential for intelligent transportation systems. Among advanced imputation methods, score-based diffusion models have demonstrated competitive performance. These models generate…

Machine Learning · Computer Science 2026-01-09 Xiaowei Mao , Huihu Ding , Yan Lin , Tingrui Wu , Shengnan Guo , Dazhuo Qiu , Feiling Fang , Jilin Hu , Huaiyu Wan

Time-series data with missing values are commonly encountered in many fields, such as healthcare, meteorology, and robotics. The imputation aims to fill the missing values with valid values. Most imputation methods trained the models…

Machine Learning · Computer Science 2024-11-21 Tae-Min Choi , Ji-Su Kang , Jong-Hwan Kim

Diffusion models (DMs) have shown promise for Time-Series Data Imputation (TSDI); however, their performance remains inconsistent in complex scenarios. We attribute this to two primary obstacles: (1) non-stationary temporal dynamics, which…

Machine Learning · Computer Science 2026-02-03 Zhichao Chen , Hao Wang , Fangyikang Wang , Licheng Pan , Zhengnan Li , Yunfei Teng , Haoxuan Li , Zhouchen Lin

Local climate information is crucial for impact assessment and decision-making, yet coarse global climate simulations cannot capture small-scale phenomena. Current statistical downscaling methods infer these phenomena as temporally…

Machine Learning · Computer Science 2025-09-24 Jonathan Schmidt , Luca Schmidt , Felix Strnad , Nicole Ludwig , Philipp Hennig

Seismic data frequently exhibits missing traces, substantially affecting subsequent seismic processing and interpretation. Deep learning-based approaches have demonstrated significant advancements in reconstructing irregularly missing…

Geophysics · Physics 2025-01-16 Paul Goyes-Peñafiel , Ulugbek Kamilov , Henry Arguello

Causal inference in spatio-temporal settings is critically hindered by unmeasured confounders with complex spatio-temporal dynamics and the prevalence of multi-resolution data. While diffusion models present a promising avenue for…

Machine Learning · Statistics 2026-04-07 Xinwen Liu , Lei Qian , Song Xi Chen , Niansheng Tang

Data imputation and data generation have important applications for many domains, like healthcare and finance, where incomplete or missing data can hinder accurate analysis and decision-making. Diffusion models have emerged as powerful…

Machine Learning · Computer Science 2025-06-10 Mario Villaizán-Vallelado , Matteo Salvatori , Carlos Segura , Ioannis Arapakis

Missing data is a common problem in real-world sensor data collection. The performance of various approaches to impute data degrade rapidly in the extreme scenarios of low data sampling and noisy sampling, a case present in many real-world…

Signal Processing · Electrical Eng. & Systems 2022-01-21 Charul Paliwal , Pravesh Biyani , Ketan Rajawat

Urban pollution poses serious health risks, particularly in relation to traffic-related air pollution, which remains a major concern in many cities. Vehicle emissions contribute to respiratory and cardiovascular issues, especially for…

Machine Learning · Computer Science 2024-12-30 Sen Yan , David J. O'Connor , Xiaojun Wang , Noel E. O'Connor , Alan F. Smeaton , Mingming Liu

We propose a simple, efficient, yet powerful framework for dense visual predictions based on the conditional diffusion pipeline. Our approach follows a "noise-to-map" generative paradigm for prediction by progressively removing noise from a…

Computer Vision and Pattern Recognition · Computer Science 2023-05-16 Yuanfeng Ji , Zhe Chen , Enze Xie , Lanqing Hong , Xihui Liu , Zhaoqiang Liu , Tong Lu , Zhenguo Li , Ping Luo

Uncertainty quantification is critical in scientific inverse problems to distinguish identifiable parameters from those that remain ambiguous given available measurements. The Conditional Diffusion Model-based Inverse Problem Solver (CDI)…

Machine Learning · Computer Science 2026-01-27 Dmitrii Torbunov , Yihui Ren , Lijun Wu , Yimei Zhu

Spatiotemporal (ST) data collected by sensors can be represented as multi-variate time series, which is a sequence of data points listed in an order of time. Despite the vast amount of useful information, the ST data usually suffer from the…

Machine Learning · Computer Science 2023-04-20 Li Jiang , Ting Zhang , Qiruyi Zuo , Chenyu Tian , George P. Chan , Wai Kin , Chan

With the rapid development of various sensing devices, spatiotemporal data is becoming increasingly important nowadays. However, due to sensing costs and privacy concerns, the collected data is often incomplete and coarse-grained, limiting…

Machine Learning · Computer Science 2024-10-10 Ziyu Sun , Haoyang Su , En Wang , Funing Yang , Yongjian Yang , Wenbin Liu

Diffusion probabilistic models have been recently used in a variety of tasks, including speech enhancement and synthesis. As a generative approach, diffusion models have been shown to be especially suitable for imputation problems, where…

Audio and Speech Processing · Electrical Eng. & Systems 2023-06-05 Tal Peer , Simon Welker , Timo Gerkmann

Diffusion models have emerged as powerful generative frameworks by progressively adding noise to data through a forward process and then reversing this process to generate realistic samples. While these models have achieved strong…

Machine Learning · Computer Science 2025-03-04 Xingzhuo Guo , Yu Zhang , Baixu Chen , Haoran Xu , Jianmin Wang , Mingsheng Long

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

Training deep learning methods on small time series datasets that also include corrupted samples is challenging. Diffusion models have shown to be effective to generate realistic and synthetic data, and correct corrupted samples through…

Machine Learning · Computer Science 2025-09-17 Julian Ripper , Ousama Esbel , Rafael Fietzek , Max Mühlhäuser , Thomas Kreutz

Event-based video reconstruction has garnered increasing attention due to its advantages, such as high dynamic range and rapid motion capture capabilities. However, current methods often prioritize the extraction of temporal information…

Computer Vision and Pattern Recognition · Computer Science 2024-07-16 Lin Zhu , Yunlong Zheng , Yijun Zhang , Xiao Wang , Lizhi Wang , Hua Huang