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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

Probabilistic regression models the entire predictive distribution of a response variable, offering richer insights than classical point estimates and directly allowing for uncertainty quantification. While diffusion-based generative models…

Machine Learning · Computer Science 2025-10-07 Carlo Kneissl , Christopher Bülte , Philipp Scholl , Gitta Kutyniok

Wildfire modelling is an attempt to reproduce fire behaviour. Through active fire analysis, it is possible to reproduce a dynamical process, such as wildfires, with limited duration time series data. Recurrent neural networks (RNNs) can…

Machine Learning · Computer Science 2020-05-28 Rylan Perumal , Terence L van Zyl

Due to the dynamics of underlying physics and external influences, the uncertainty of time series often varies over time. However, existing Denoising Diffusion Probabilistic Models (DDPMs) often fail to capture this non-stationary nature,…

Machine Learning · Computer Science 2026-04-14 Weiwei Ye , Zhuopeng Xu , Ning Gui

Predicting wildfire spread is critical for land management and disaster preparedness. To this end, we present `Next Day Wildfire Spread,' a curated, large-scale, multivariate data set of historical wildfires aggregating nearly a decade of…

Computer Vision and Pattern Recognition · Computer Science 2022-10-05 Fantine Huot , R. Lily Hu , Nita Goyal , Tharun Sankar , Matthias Ihme , Yi-Fan Chen

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

Due to network operation and maintenance relying heavily on network traffic monitoring, traffic matrix analysis has been one of the most crucial issues for network management related tasks. However, it is challenging to reliably obtain the…

Networking and Internet Architecture · Computer Science 2024-12-02 Xinyu Yuan , Yan Qiao , Zhenchun Wei , Zeyu Zhang , Minyue Li , Pei Zhao , Rongyao Hu , Wenjing Li

The Distributional Random Forest (DRF) is a recently introduced Random Forest algorithm to estimate multivariate conditional distributions. Due to its general estimation procedure, it can be employed to estimate a wide range of targets such…

Statistics Theory · Mathematics 2023-12-20 Jeffrey Näf , Corinne Emmenegger , Peter Bühlmann , Nicolai Meinshausen

Predictions of thunderstorm-related hazards are needed in several sectors, including first responders, infrastructure management and aviation. To address this need, we present a deep learning model that can be adapted to different hazard…

Atmospheric and Oceanic Physics · Physics 2023-03-16 Jussi Leinonen , Ulrich Hamann , Ioannis V. Sideris , Urs Germann

Motivated by path-integral numerical solutions of diffusion processes, PATHINT, we present a new tree algorithm, PATHTREE, which permits extremely fast accurate computation of probability distributions of a large class of general nonlinear…

Computational Physics · Physics 2009-11-07 L. Ingber , C. Chen , R. P. Mondescu , D. Muzzall , M. Renedo

Neural Temporal Point Processes (TPPs) have emerged as the primary framework for predicting sequences of events that occur at irregular time intervals, but their sequential nature can hamper performance for long-horizon forecasts. To…

Machine Learning · Computer Science 2024-07-23 Mai Zeng , Florence Regol , Mark Coates

Forest fires pose a natural threat with devastating social, environmental, and economic implications. The rapid and highly uncertain rate of spread of wildfires necessitates a trustworthy digital tool capable of providing real-time…

Autoregressive neural networks within the temporal point process (TPP) framework have become the standard for modeling continuous-time event data. Even though these models can expressively capture event sequences in a one-step-ahead…

Machine Learning · Computer Science 2024-02-21 David Lüdke , Marin Biloš , Oleksandr Shchur , Marten Lienen , Stephan Günnemann

Forest fire spreading is a complex phenomenon characterized by a stochastic behavior. Nowadays, the enormous quantity of georeferenced data and the availability of powerful techniques for their analysis can provide a very careful picture of…

Populations and Evolution · Quantitative Biology 2023-09-06 Roberto Beneduci , Giovanni Mascali

Spatio-temporal graph neural networks (STGNN) have emerged as the dominant model for spatio-temporal graph (STG) forecasting. Despite their success, they fail to model intrinsic uncertainties within STG data, which cripples their…

Machine Learning · Computer Science 2024-03-12 Haomin Wen , Youfang Lin , Yutong Xia , Huaiyu Wan , Qingsong Wen , Roger Zimmermann , Yuxuan Liang

Multivariate time series forecasting is a pivotal task in several domains, including financial planning, medical diagnostics, and climate science. This paper presents the Neural Fourier Transform (NFT) algorithm, which combines…

Machine Learning · Computer Science 2024-05-24 Noam Koren , Kira Radinsky

Current approaches for time series forecasting, whether in the time or frequency domain, predominantly use deep learning models based on linear layers or transformers. They often encode time series data in a black-box manner and rely on…

Machine Learning · Computer Science 2025-10-14 Cheng He , Xijie Liang , Zengrong Zheng , Patrick P. C. Lee , Xu Huang , Zhaoyi Li , Hong Xie , Defu Lian , Enhong Chen

Diffusion models have recently emerged as a powerful approach for trajectory planning. However, their inherently non-sequential nature limits their effectiveness in long-horizon reasoning tasks at test time. The recently proposed Monte…

Artificial Intelligence · Computer Science 2025-10-27 Jaesik Yoon , Hyeonseo Cho , Yoshua Bengio , Sungjin Ahn

Backpropagation-based approaches aim to align diffusion models with reward functions through end-to-end backpropagation of the reward gradient within the denoising chain, offering a promising perspective. However, due to the computational…

Computer Vision and Pattern Recognition · Computer Science 2025-07-31 Xiefan Guo , Miaomiao Cui , Liefeng Bo , Di Huang

Due to recent climate changes, we have seen more frequent and severe wildfires in the United States. Predicting wildfires is critical for natural disaster prevention and mitigation. Advances in technologies in data processing and…

Machine Learning · Computer Science 2022-09-22 Hyung-Jin Yoon , Petros Voulgaris