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The accurate estimation of time-varying transmission rates is fundamental for understanding infectious disease dynamics and implementing effective public health interventions. To this end, we propose an improved inverse method for…

Populations and Evolution · Quantitative Biology 2025-12-17 Shuanglin Jing , Yuting Huang , Hai-Feng Huo

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

Diffusion-based inpainting is a powerful tool for the reconstruction of images from sparse data. Its quality strongly depends on the choice of known data. Optimising their spatial location -- the inpainting mask -- is challenging. A…

Image and Video Processing · Electrical Eng. & Systems 2022-05-17 Tobias Alt , Pascal Peter , Joachim Weickert

We present a machine learning-based methodology capable of providing real-time ("nowcast") and forecast estimates of influenza activity in the US by leveraging data from multiple data sources including: Google searches, Twitter microblogs,…

Applications · Statistics 2016-02-17 Mauricio Santillana , Andre T. Nguyen , Mark Dredze , Michael J. Paul , John S. Brownstein

Although numerical weather forecasting methods have dominated the field, recent advances in deep learning methods, such as diffusion models, have shown promise in ensemble weather forecasting. However, such models are typically…

Machine Learning · Computer Science 2025-09-16 Kevin Valencia , Ziyang Liu , Justin Cui

Diffusion models are a class of probabilistic generative models that have been widely used as a prior for image processing tasks like text conditional generation and inpainting. We demonstrate that these models can be adapted to make…

Machine Learning · Computer Science 2023-06-14 Marc Finzi , Anudhyan Boral , Andrew Gordon Wilson , Fei Sha , Leonardo Zepeda-Núñez

The estimation from available data of parameters governing epidemics is a major challenge. In addition to usual issues (data often incomplete and noisy), epidemics of the same nature may be observed in several places or over different…

Methodology · Statistics 2021-09-20 Romain Narci , Maud Delattre , Catherine Larédo , Elisabeta Vergu

Diffusion models typically generate data through a fixed denoising trajectory that is shared across all samples. However, generation targets can differ in complexity, suggesting that a single pre-defined diffusion process may not be optimal…

Computer Vision and Pattern Recognition · Computer Science 2026-03-10 Yucheng Xing , Xiaodong Liu , Xin Wang

Weather forecasting remains a crucial yet challenging domain, where recently developed models based on deep learning (DL) have approached the performance of traditional numerical weather prediction (NWP) models. However, these DL models,…

Atmospheric and Oceanic Physics · Physics 2024-02-13 Zhanxiang Hua , Yutong He , Chengqian Ma , Alexandra Anderson-Frey

Spatial profiling technologies in biology, such as imaging mass cytometry (IMC) and spatial transcriptomics (ST), generate high-dimensional, multi-channel data with strong spatial alignment and complex inter-channel relationships.…

Machine Learning · Computer Science 2025-07-08 Haoran Zhang , Mingyuan Zhou , Wesley Tansey

Diffusion models, which leverage stochastic processes to capture complex data distributions effectively, have shown their performance as generative models, achieving notable success in image-related tasks through iterative denoising…

Machine Learning · Computer Science 2024-08-21 Toshihide Ubukata , Jialong Li , Kenji Tei

Time series generation focuses on modeling the underlying data distribution and resampling to produce authentic time series data. Key components, such as trend and seasonality, drive temporal fluctuations, yet many existing approaches fail…

Machine Learning · Computer Science 2025-11-04 Zixuan Ma , Chenfeng Huang

Deep learning has revolutionized weather forecasting, but many challenges remain, including climate modeling. Moreover, the current landscape remains fragmented: highly specialized models are typically trained individually for distinct…

Machine Learning · Computer Science 2026-05-20 Michael Aich , Andreas Fürst , Florian Sestak , Carlos Ruiz-Gonzalez , Niklas Boers , Johannes Brandstetter

Diffusion models have become the go-to method for many generative tasks, particularly for image-to-image generation tasks such as super-resolution and inpainting. Current diffusion-based methods do not provide statistical guarantees…

Computer Vision and Pattern Recognition · Computer Science 2022-11-18 Eliahu Horwitz , Yedid Hoshen

Large ensembles of climate projections are essential for characterizing uncertainty in future climate and extreme weather events, yet computational constraints of numerical climate models limit ensemble sizes to a small number of…

Atmospheric and Oceanic Physics · Physics 2025-12-01 Francesco Immorlano , Elijah Tavares , Felix Draxler , Padhraic Smyth , Pierre Gentine , Stephan Mandt

Despite the recent development of methods dealing with partially observed epidemic dynamics (unobserved model coordinates, discrete and noisy outbreak data), limitations remain in practice, mainly related to the quantity of augmented data…

Applications · Statistics 2021-07-26 Romain Narci , Maud Delattre , Catherine Larédo , Elisabeta Vergu

Multiscale spatial structure complicates temporal prediction because small-scale spatial fluctuations influence large-scale evolution, yet resolving all scales is often intractable. Standard diffusion models do not address this problem…

Fluid Dynamics · Physics 2026-04-02 Yuki Yasuda , Tobias Bischoff

Timely and robust influenza incidence forecasting is critical for public health decision-making. This paper presents MAESTRO (Multi-modal Adaptive Estimation for Temporal Respiratory Disease Outbreak), a novel, unified framework that…

Machine Learning · Computer Science 2025-09-22 Hong Liu , Kerui Cen , Yanxing Chen , Zige Liu , Dong Chen , Zifeng Yang , Chitin Hon

We introduce a novel deep learning approach that harnesses the power of generative artificial intelligence to enhance the accuracy of contextual forecasting in sewerage systems. By developing a diffusion-based model that processes…

Machine Learning · Computer Science 2025-06-11 Nicholas A. Pearson , Francesca Cairoli , Luca Bortolussi , Davide Russo , Francesca Zanello

Denoising diffusion models are a powerful type of generative models used to capture complex distributions of real-world signals. However, their applicability is limited to scenarios where training samples are readily available, which is not…

Computer Vision and Pattern Recognition · Computer Science 2023-11-20 Ayush Tewari , Tianwei Yin , George Cazenavette , Semon Rezchikov , Joshua B. Tenenbaum , Frédo Durand , William T. Freeman , Vincent Sitzmann