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Model extrapolation to unseen flow is one of the biggest challenges facing data-driven turbulence modeling, especially for models with high dimensional inputs that involve many flow features. In this study we review previous efforts on…

Fluid Dynamics · Physics 2020-01-16 Shirui Luo , Jiahuan Cui , Madhu Vellakal , Jian Liu , Enyi Jiang , Seid Koric , Volodymyr Kindratenko

The occurrence of diffusion on a graph is a prevalent and significant phenomenon, as evidenced by the spread of rumors, influenza-like viruses, smart grid failures, and similar events. Comprehending the behaviors of flow is a formidable…

Social and Information Networks · Computer Science 2023-08-09 Zijian Zhang , Zonghan Zhang , Zhiqian Chen

Predictions of global climate models typically operate on coarse spatial scales due to the large computational costs of climate simulations. This has led to a considerable interest in methods for statistical downscaling, a similar process…

Artificial Intelligence · Computer Science 2024-06-03 Christina Winkler , Paula Harder , David Rolnick

Normalizing flows, a popular class of deep generative models, often fail to represent extreme phenomena observed in real-world processes. In particular, existing normalizing flow architectures struggle to model multivariate extremes,…

Machine Learning · Computer Science 2022-05-04 Andrew McDonald , Pang-Ning Tan , Lifeng Luo

Due to the heterogeneity of the global distribution of ecological and hydrological ground-truth observations, machine learning models can have limited adaptability when applied to unknown locations, which is referred to as weak…

Geophysics · Physics 2024-03-19 Haiyang Shi

Generating high-quality time-series data is challenging because real-world signals often exhibit multimodal patterns and multiscale dynamics, including oscillations and high-frequency variations. Flow Matching (FM) offers an efficient…

Machine Learning · Computer Science 2026-05-29 Junru Zhang , Lang Feng , Jinbo Wang , Xu Guo , Yucheng Wang , Han Yu , Min Wu , Yabo Dong , Duanqing Xu

Modeling environmental ecosystems is essential for effective resource management, sustainable development, and understanding complex ecological processes. However, traditional data-driven methods face challenges in capturing inherently…

Machine Learning · Computer Science 2025-04-08 Runlong Yu , Shengyu Chen , Yiqun Xie , Huaxiu Yao , Jared Willard , Xiaowei Jia

We present FLINT (learning-based FLow estimation and temporal INTerpolation), a novel deep learning-based approach to estimate flow fields for 2D+time and 3D+time scientific ensemble data. FLINT can flexibly handle different types of…

Computer Vision and Pattern Recognition · Computer Science 2025-02-24 Hamid Gadirov , Jos B. T. M. Roerdink , Steffen Frey

Recent progress in self-supervision shows that pre-training large neural networks on vast amounts of unsupervised data can lead to impressive increases in generalisation for downstream tasks. Such models, recently coined as foundation…

Downscaling is a landmark task in climate science and meteorology in which the goal is to use coarse scale, spatio-temporal data to infer values at finer scales. Statistical downscaling aims to approximate this task using statistical…

Computer Vision and Pattern Recognition · Computer Science 2020-08-12 Brian Groenke , Luke Madaus , Claire Monteleoni

One of the most used metrics to gauge the effects of climate change is the equilibrium climate sensitivity, defined as the long-term (equilibrium) temperature increase resulting from instantaneous doubling of atmospheric CO$_2$. Since…

Atmospheric and Oceanic Physics · Physics 2021-02-04 Robbin Bastiaansen , Henk A. Dijkstra , Anna S. von der Heydt

Managing natural resources and mitigating risks from floods, droughts, wildfires, and landslides require models that can accurately predict climate-driven land-surface responses. Traditional models often struggle with spatial generalization…

Machine Learning · Computer Science 2026-02-03 Nicholas Kraabel , Jiangtao Liu , Yuchen Bian , Daniel Kifer , Chaopeng Shen

Accurately upscaling terrestrial carbon fluxes is central to estimating the global carbon budget, yet remains challenging due to the sparse and regionally biased distribution of ground measurements. Existing data-driven upscaling products…

Machine Learning · Computer Science 2026-03-12 Aleksei Rozanov , Arvind Renganathan , Vipin Kumar

Bayesian filtering and smoothing for high-dimensional nonlinear dynamical systems are fundamental yet challenging problems in many areas of science and engineering. In this work, we propose FLUID, a flow-based unified amortized inference…

Machine Learning · Statistics 2026-04-27 Tiangang Cui , Xiaodong Feng , Chenlong Pei , Xiaoliang Wan , Tao Zhou

The ocean is filled with microscopic microalgae called phytoplankton, which together are responsible for as much photosynthesis as all plants on land combined. Our ability to predict their response to the warming ocean relies on…

Applications · Statistics 2022-08-05 Sangwon Hyun , Mattias Rolf Cape , Francois Ribalet , Jacob Bien

Multivariate time-series (MTS) forecasting is fundamental to applications ranging from urban mobility and resource management to climate modeling. While recent generative models based on denoising diffusion have advanced state-of-the-art…

Machine Learning · Computer Science 2025-11-21 Seyed Mohamad Moghadas , Bruno Cornelis , Adrian Munteanu

We introduce FLEX (FLow EXpert), a backbone architecture for generative modeling of spatio-temporal physical systems using diffusion models. FLEX operates in the residual space rather than on raw data, a modeling choice that we motivate…

Machine Learning · Computer Science 2025-05-26 N. Benjamin Erichson , Vinicius Mikuni , Dongwei Lyu , Yang Gao , Omri Azencot , Soon Hoe Lim , Michael W. Mahoney

Deep generative models have made rapid progress in image, text, audio, and video generation, and are increasingly being applied to structured records. For tabular data, however, generative modeling remains difficult: a dataset may contain…

Machine Learning · Computer Science 2026-05-25 Zhong Li , Qi Huang , Lincen Yang , Jiayang Shi , Zhao Yang , Niki van Stein , Thomas Bäck , Matthijs van Leeuwen

We develop a landscape-flux framework to investigate observed frequency distributions of vegetation and the stability of these ecological systems under fluctuations. The frequency distributions can characterize the population-potential…

Populations and Evolution · Quantitative Biology 2022-10-12 Li Xu , Denis Patterson , Ann Carla Staver , Simon Asher Levin , Jin Wang

Frequency-domain channel extrapolation is effective in reducing pilot overhead for massive multiple-input multiple-output (MIMO) systems. Recently, Deep learning (DL) based channel extrapolator has become a promising candidate for modeling…

Signal Processing · Electrical Eng. & Systems 2025-05-21 Haoyu Wang , Zhi Sun , Shuangfeng Han , Xiaoyun Wang , Zhaocheng Wang