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The conditional diffusion model has been demonstrated as an efficient tool for learning robot policies, owing to its advancement to accurately model the conditional distribution of policies. The intricate nature of real-world scenarios,…

Robotics · Computer Science 2024-07-03 Wenhao Yu , Jie Peng , Huanyu Yang , Junrui Zhang , Yifan Duan , Jianmin Ji , Yanyong Zhang

In recent years, there has been growing interest in using Precipitable Water Vapor (PWV) derived from Global Positioning System (GPS) signal delays to predict rainfall. However, the occurrence of rainfall is dependent on a myriad of…

Atmospheric and Oceanic Physics · Physics 2020-01-08 Shilpa Manandhar , Soumyabrata Dev , Yee Hui Lee , Yu Song Meng , Stefan Winkler

Short term load forecasting has an essential medium for the reliable, economical and efficient operation of the power system. Most of the existing forecasting approaches utilize fixed statistical models with large historical data for…

Signal Processing · Electrical Eng. & Systems 2019-05-21 Irfan Ahmad Khan , Adnan Akber , Yinliang Xu

We introduce a data-driven method for learning the equations of motion of mechanical systems directly from position measurements, without requiring access to velocity data. This is particularly relevant in system identification tasks where…

Systems and Control · Electrical Eng. & Systems 2025-05-28 Martine Dyring Hansen , Elena Celledoni , Benjamin Kwanen Tapley

Rainfall is an important component of the climate system and its statistical properties are vital for prediction purposes. In this study, we have developed a statistical method for constructing the distribution of annual precipitation. The…

Atmospheric and Oceanic Physics · Physics 2024-05-24 Yosef Ashkenazy , Naftali R. Smith

Microclimate models are essential for linking climate to ecological processes, yet most physically based frameworks estimate temperature independently for each spatial unit and rely on simplified representations of lateral heat exchange. As…

Machine Learning · Computer Science 2026-03-17 Idan Sulami , Alon Itzkovitch , Michael R. Kearney , Moni Shahar , Ofir Levy

Dynamic Mode Decomposition (DMD) and its variants, such as extended DMD (EDMD), are broadly used to fit simple linear models to dynamical systems known from observable data. As DMD methods work well in several situations but perform poorly…

Dynamical Systems · Mathematics 2024-08-06 George Haller , Bálint Kaszás

Producing probabilistic forecasts for large collections of similar and/or dependent time series is a practically relevant and challenging task. Classical time series models fail to capture complex patterns in the data, and multivariate…

Machine Learning · Statistics 2019-05-30 Yuyang Wang , Alex Smola , Danielle C. Maddix , Jan Gasthaus , Dean Foster , Tim Januschowski

Accurate, efficient prediction of wind flow with wake effects is crucial for wind-farm layout and power forecasting. Existing approaches-physical measurements, numerical simulations, physics-based models, and data-driven models-face…

Fluid Dynamics · Physics 2025-09-26 Dong Xu , Zhaobin Li , Xiaolei Yang , Peng Hou , Bruno Carmo , Xuerui Mao

While widely recognized as one of the most substantial weather forecasting methodologies, Numerical Weather Prediction (NWP) usually suffers from relatively coarse resolution and inevitable bias due to tempo-spatial discretization, physical…

Atmospheric and Oceanic Physics · Physics 2023-12-21 Pengwei Liu , Wenwei Wang , Bingqing Peng , Binqing Wu , Liang Sun

Spatio-temporal process models are often used for modeling dynamic physical and biological phenomena that evolve across space and time. These phenomena may exhibit environmental heterogeneity and complex interactions that are difficult to…

Methodology · Statistics 2026-01-06 Pratik Nag , Andrew Zammit-Mangion , Sumeetpal Singh , Noel Cressie

Time series forecasting is often fundamental to scientific and engineering problems and enables decision making. With ever increasing data set sizes, a trivial solution to scale up predictions is to assume independence between interacting…

Machine Learning · Computer Science 2021-01-18 Kashif Rasul , Abdul-Saboor Sheikh , Ingmar Schuster , Urs Bergmann , Roland Vollgraf

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

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…

Machine Learning · Statistics 2019-07-04 Shunya Okuno , Kazuyuki Aihara , Yoshito Hirata

Advancements in smart metering technologies have significantly improved the ability to monitor and manage water utilities. In the context of increasing uncertainty due to climate change, securing water resources and supply has emerged as an…

The stochastic differential equation (SDE)-based random process models of volatile renewable energy sources (RESs) jointly capture the evolving probability distribution and temporal correlation in continuous time. It has enabled recent…

Machine Learning · Computer Science 2023-12-12 Yiwei Qiu , Jin Lin , Zhipeng Zhou , Ningyi Dai , Feng Liu , Yonghua Song

We use a decision-theoretic framework to study the problem of forecasting discrete outcomes when the forecaster is unable to discriminate among a set of plausible forecast distributions because of partial identification or concerns about…

Econometrics · Economics 2020-12-18 Timothy Christensen , Hyungsik Roger Moon , Frank Schorfheide

As our planet is entering into the "global boiling" era, understanding regional climate change becomes imperative. Effective downscaling methods that provide localized insights are crucial for this target. Traditional approaches, including…

Atmospheric and Oceanic Physics · Physics 2024-04-08 Fenghua Ling , Zeyu Lu , Jing-Jia Luo , Lei Bai , Swadhin K. Behera , Dachao Jin , Baoxiang Pan , Huidong Jiang , Toshio Yamagata

Accurate forecasting of industrial time series requires balancing predictive accuracy with physical plausibility under non-stationary operating conditions. Existing data-driven models often achieve strong statistical performance but…

Machine Learning · Computer Science 2026-05-20 Yeran Zhang , Pengwei Yang , Guoqing Wang , Tianyu Li

This paper studies the problem of dimension reduction, tailored to improving time series forecasting with high-dimensional predictors. We propose a novel Supervised Deep Dynamic Principal component analysis (SDDP) framework that…

Machine Learning · Statistics 2025-11-25 Zhanye Luo , Yuefeng Han , Xiufan Yu