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Deep learning can accurately represent sub-grid-scale convective processes in climate models, learning from high resolution simulations. However, deep learning methods usually lack interpretability due to large internal dimensionality,…

Atmospheric and Oceanic Physics · Physics 2022-09-07 Gunnar Behrens , Tom Beucler , Pierre Gentine , Fernando Iglesias-Suarez , Michael Pritchard , Veronika Eyring

Seasonal forecasting remains challenging due to the inherent chaotic nature of atmospheric dynamics. This paper introduces DeepSeasons, a novel deep learning approach designed to enhance the accuracy and reliability of seasonal forecasts.…

Atmospheric and Oceanic Physics · Physics 2025-09-16 A. Navarra , G. G. Navarra

Singular Value Decomposition (SVD) is a technique based on linear projection theory, which has been frequently used for data analysis. It constitutes an optimal (in the sense of least squares) decomposition of a matrix in the most relevant…

Data Analysis, Statistics and Probability · Physics 2015-03-17 Pau Erola , Javier Borge-Holthoefer , Sergio Gomez , Alex Arenas

A cross-benchmark has been done on three critical aspects, data imputing, feature selection and regression algorithms, for machine learning based chemical vapor deposition (CVD) virtual metrology (VM). The result reveals that linear feature…

Machine Learning · Computer Science 2021-07-29 Yunsong Xie , Ryan Stearrett

Recently, there has been a growing interest in Long-term Time Series Forecasting (LTSF), which involves predicting long-term future values by analyzing a large amount of historical time-series data to identify patterns and trends. There…

Machine Learning · Computer Science 2026-02-17 Aitian Ma , Dongsheng Luo , Mo Sha

Very deep convolutional neural networks (CNNs) have been firmly established as the primary methods for many computer vision tasks. However, most state-of-the-art CNNs are large, which results in high inference latency. Recently, depth-wise…

Computer Vision and Pattern Recognition · Computer Science 2025-01-07 Yihui He , Jianing Qian , Jianren Wang , Cindy X. Le , Congrui Hetang , Qi Lyu , Wenping Wang , Tianwei Yue

The Dynamic Mode Decomposition (DMD) and the more general Extended DMD (EDMD) are powerful tools for computational analysis of dynamical systems in data-driven scenarios. They are built on the theoretical foundation of the Koopman…

Numerical Analysis · Mathematics 2026-04-06 Zlatko Drmač , Ela Đimoti

Dynamic Mode Decomposition (DMD) is a useful tool to effectively extract the dominant dynamic flow structure from a unsteady flow field. However, DMD requires massive computational resources with respect to memory consumption and the usage…

Fluid Dynamics · Physics 2017-04-03 Daiki Matsumoto , Thomas Indinger

Temporal or spatial structures are readily extracted from complex data by modal decompositions like Proper Orthogonal Decomposition (POD) or Dynamic Mode Decomposition (DMD). Subspaces of such decompositions serve as reduced order models…

Fluid Dynamics · Physics 2019-02-25 Jörn Sesterhenn , Amir Shahirpour

Downscaling is necessary to generate high-resolution observation data to validate the climate model forecast or monitor rainfall at the micro-regional level operationally. Dynamical and statistical downscaling models are often used to get…

Atmospheric and Oceanic Physics · Physics 2023-02-28 Bipin Kumar , Rajib Chattopadhyay , Manmeet Singh , Niraj Chaudhari , Karthik Kodari , Amit Barve

Long-term Time Series Forecasting (LTSF) is critical for numerous real-world applications, such as electricity consumption planning, financial forecasting, and disease propagation analysis. LTSF requires capturing long-range dependencies…

Machine Learning · Computer Science 2024-10-04 Aitian Ma , Dongsheng Luo , Mo Sha

Time-Series Forecasting based on Cumulative Data (TSFCD) is a crucial problem in decision-making across various industrial scenarios. However, existing time-series forecasting methods often overlook two important characteristics of…

Machine Learning · Computer Science 2023-09-26 Zhichao Chen , Leilei Ding , Zhixuan Chu , Yucheng Qi , Jianmin Huang , Hao Wang

Accurate forecasting in the e-commerce finance domain is particularly challenging due to irregular invoice schedules, payment deferrals, and user-specific behavioral variability. These factors, combined with sparse datasets and short…

Machine Learning · Computer Science 2025-09-25 Abhishek Sharma , Anat Parush , Sumit Wadhwa , Amihai Savir , Anne Guinard , Prateek Srivastava

Improvement of time series forecasting accuracy through combining multiple models is an important as well as a dynamic area of research. As a result, various forecasts combination methods have been developed in literature. However, most of…

Artificial Intelligence · Computer Science 2013-02-28 Ratnadip Adhikari , R. K. Agrawal

This work introduces Variational Diffusion Distillation (VDD), a novel method that distills denoising diffusion policies into Mixtures of Experts (MoE) through variational inference. Diffusion Models are the current state-of-the-art in…

Machine Learning · Computer Science 2024-10-22 Hongyi Zhou , Denis Blessing , Ge Li , Onur Celik , Xiaogang Jia , Gerhard Neumann , Rudolf Lioutikov

In autonomous driving, transparency in the decision-making of perception models is critical, as even a single misperception can be catastrophic. Yet with multi-sensor inputs, it is difficult to determine how each modality contributes to a…

Computer Vision and Pattern Recognition · Computer Science 2025-11-04 Jaehyun Park , Konyul Park , Daehun Kim , Junseo Park , Jun Won Choi

In multivariable time series (MTS) forecasting, existing state-of-the-art deep learning approaches tend to focus on autoregressive formulations and often overlook the potential of using exogenous variables in enhancing the prediction of the…

Machine Learning · Computer Science 2025-04-03 Yuxuan Shu , Vasileios Lampos

We propose a two-stage estimation method of variance components in time series models known as FDSLRMs, whose observations can be described by a linear mixed model (LMM). We based estimating variances, fundamental quantities in a time…

Methodology · Statistics 2020-03-10 Martina Hančová , Gabriela Vozáriková , Andrej Gajdoš , Jozef Hanč

We develop a new method which extends Dynamic Mode Decomposition (DMD) to incorporate the effect of control to extract low-order models from high-dimensional, complex systems. DMD finds spatial-temporal coherent modes, connects local-linear…

Optimization and Control · Mathematics 2014-09-24 Joshua L. Proctor , Steven L. Brunton , J. Nathan Kutz

Landslide is a natural disaster that can easily threaten local ecology, people's lives and property. In this paper, we conduct modelling research on real unidirectional surface displacement data of recent landslides in the research area and…

Machine Learning · Computer Science 2023-07-25 Menglin Kong , Ruichen Li , Fan Liu , Xingquan Li , Juan Cheng , Muzhou Hou , Cong Cao