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To integrate large systems of nonlinear differential equations in time, we consider a variant of nonlinear waveform relaxation (also known as dynamic iteration or Picard-Lindel\"of iteration), where at each iteration a linear inhomogeneous…

数值分析 · 数学 2024-04-23 Mike A. Botchev

Open-vocabulary panoptic reconstruction is essential for advanced robotics perception and simulation. However, existing methods based on 3D Gaussian Splatting (3DGS) often struggle to simultaneously achieve geometric accuracy, coherent…

机器人学 · 计算机科学 2026-04-14 Xuan Yu , Yuxuan Xie , Changjian Jiang , Shichao Zhai , Rong Xiong , Yu Zhang , Yue Wang

A major problem in numerical weather prediction (NWP) is the estimation of high-dimensional covariance matrices from a small number of samples. Maximum likelihood estimators cannot provide reliable estimates when the overall dimension is…

统计方法学 · 统计学 2023-01-13 Robert J. Webber , Matthias Morzfeld

Integrated wind-solar-wave marine energy systems hold broad promise for supplying clean electricity in offshore and coastal regions. By leveraging the spatiotemporal complementarity of multiple resources, such systems can effectively…

机器学习 · 计算机科学 2025-10-01 Baoyi Xie , Shuiling Shi , Wenqi Liu

Recently, ParaExp was proposed for the time integration of hyperbolic problems. It splits the time interval of interest into sub-intervals and computes the solution on each sub-interval in parallel. The overall solution is decomposed into a…

数值分析 · 数学 2016-10-18 Melina Merkel , Innocent Niyonzima , Sebastian Schöps

We present a significantly-improved data-driven global weather forecasting framework using a deep convolutional neural network (CNN) to forecast several basic atmospheric variables on a global grid. New developments in this framework…

大气与海洋物理 · 物理学 2020-10-14 Jonathan A. Weyn , Dale R. Durran , Rich Caruana

Climate change is one of the most critical challenges that our planet is facing today. Rising global temperatures are already bringing noticeable changes to Earth's weather and climate patterns with an increased frequency of unpredictable…

大气与海洋物理 · 物理学 2024-01-19 Karandeep Singh , Chaeyoon Jeong , Naufal Shidqi , Sungwon Park , Arjun Nellikkattil , Elke Zeller , Meeyoung Cha

Data-driven deep learning models are transforming global weather forecasting. It is an open question if this success can extend to climate modeling, where the complexity of the data and long inference rollouts pose significant challenges.…

机器学习 · 计算机科学 2024-11-14 Salva Rühling Cachay , Brian Henn , Oliver Watt-Meyer , Christopher S. Bretherton , Rose Yu

Rational exponential integrators (REXI) are a class of numerical methods that are well suited for the time integration of linear partial differential equations with imaginary eigenvalues. Since these methods can be parallelized in time (in…

数值分析 · 数学 2021-04-28 Marco Caliari , Lukas Einkemmer , Alexander Moriggl , Alexander Ostermann

Multi-model ensemble analysis integrates information from multiple climate models into a unified projection. However, existing integration approaches based on model averaging can dilute fine-scale spatial information and incur bias from…

应用统计 · 统计学 2023-04-12 Trevor Harris , Bo Li , Ryan Sriver

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…

机器学习 · 计算机科学 2025-10-21 Ganglin Tian , Anastase Alexandre Charantonis , Camille Le Coz , Alexis Tantet , Riwal Plougonven

Issuing timely severe weather warnings helps mitigate potentially disastrous consequences. Recent advancements in Neural Weather Models (NWMs) offer a computationally inexpensive and fast approach for forecasting atmospheric environments on…

大气与海洋物理 · 物理学 2025-08-22 Antoine Leclerc , Erwan Koch , Monika Feldmann , Daniele Nerini , Tom Beucler

Weather and climate simulations produce petabytes of high-resolution data that are later analyzed by researchers in order to understand climate change or severe weather. We propose a new method of compressing this multidimensional weather…

机器学习 · 计算机科学 2023-04-17 Langwen Huang , Torsten Hoefler

Coastal communities increasingly face compound floods, where multiple drivers like storm surge, high tide, heavy rainfall, and river discharge occur together or in sequence to produce impacts far greater than any single driver alone.…

地球物理 · 物理学 2025-07-22 Soheil Radfar , Faezeh Maghsoodifar , Hamed Moftakhari , Hamid Moradkhani

In this paper an approach for decreasing the computational effort required for the spectral simulations of the water waves is introduced. Signals with majority of the components zero, are known as the sparse signals. Like majority of the…

计算物理 · 物理学 2015-12-22 Cihan Bayindir

Spatial processes with nonstationary and anisotropic covariance structure are often used when modelling, analysing and predicting complex environmental phenomena. Such processes may often be expressed as ones that have stationary and…

统计方法学 · 统计学 2020-04-06 Andrew Zammit-Mangion , Tin Lok James Ng , Quan Vu , Maurizio Filippone

Task embeddings in multi-layer perceptrons for multi-task learning and inductive transfer learning in renewable power forecasts have recently been introduced. In many cases, this approach improves the forecast error and reduces the required…

机器学习 · 计算机科学 2022-05-02 Jens Schreiber , Stephan Vogt , Bernhard Sick

Delay embedding---a method for reconstructing dynamical systems by delay coordinates---is widely used to forecast nonlinear time series as a model-free approach. When multivariate time series are observed, several existing frameworks can be…

机器学习 · 统计学 2019-07-04 Shunya Okuno , Kazuyuki Aihara , Yoshito Hirata

Global deep-learning weather prediction models have recently been shown to produce forecasts that rival those from physics-based models run at operational centers. It is unclear whether these models have encoded atmospheric dynamics, or…

大气与海洋物理 · 物理学 2023-09-21 Gregory J. Hakim , Sanjit Masanam

Time series forecasting is essential for many practical applications, with the adoption of transformer-based models on the rise due to their impressive performance in NLP and CV. Transformers' key feature, the attention mechanism,…

机器学习 · 计算机科学 2024-02-09 PeiSong Niu , Tian Zhou , Xue Wang , Liang Sun , Rong Jin
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