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We introduce a method for decomposition of trend, cycle and seasonal components in spatio-temporal models and apply it to investigate the existence of climate changes in temperature and rainfall series. The method incorporates critical…

Applications · Statistics 2017-03-21 Marcio Poletti Laurini

Spatiotemporal data mining aims to discover interesting, useful but non-trivial patterns in big spatial and spatiotemporal data. They are used in various application domains such as public safety, ecology, epidemiology, earth science, etc.…

Databases · Computer Science 2022-06-28 Arun Sharma , Zhe Jiang , Shashi Shekhar

In this paper, we propose two nonparametric methods used in the forecasting of functional time-dependent data, namely functional singular spectrum analysis recurrent forecasting and vector forecasting. Both algorithms utilize the results of…

Machine Learning · Statistics 2021-01-28 Jordan Trinka , Hossein Haghbin , Mehdi Maadooliat

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

A functional time series approach is proposed for investigating spatial correlation in daily maximum temperature forecast errors for 111 cities spread across the U.S. The modelling of spatial correlation is most fruitful for longer forecast…

Methodology · Statistics 2021-11-23 Phillip A. Jang , David S. Matteson

Although Transformer has made breakthrough success in widespread domains especially in Natural Language Processing (NLP), applying it to time series forecasting is still a great challenge. In time series forecasting, the autoregressive…

Machine Learning · Computer Science 2021-06-01 Kai Chen , Guang Chen , Dan Xu , Lijun Zhang , Yuyao Huang , Alois Knoll

We introduce a technique of time series analysis, potential forecasting, which is based on dynamical propagation of the probability density of time series. We employ polynomial coefficients of the orthogonal approximation of the empirical…

Data Analysis, Statistics and Probability · Physics 2015-06-12 V. N. Livina , G. Lohmann , M. Mudelsee , T. M. Lenton

Long-term sunspot observations are key to understand and predict the solar activities and its effects on the space weather.Consistent observations which are crucial for long-term variations studies,are generally not available due to…

Solar and Stellar Astrophysics · Physics 2017-05-17 Sudip Mandal , Manjunath Hegde , Tanmoy Samanta , Gopal Hazra , Dipankar Banerjee , B Ravindra

The combined Greenwich and Solar Optical Observing Network (SOON) sunspot group data during 1874-2013 are analyzed and studied the relatively long-term variations in the annual sums of the areas of sunspot groups in 0-10 deg, 10-20 deg, and…

Solar and Stellar Astrophysics · Physics 2014-07-03 J. Javaraiah

Prediction for high dimensional time series is a challenging task due to the curse of dimensionality problem. Classical parametric models like ARIMA or VAR require strong modeling assumptions and time stationarity and are often…

Statistics Theory · Mathematics 2020-12-16 Nikita Puchkin , Aleksandr Timofeev , Vladimir Spokoiny

Climate modelers generally require meteorological information on regular grids, but monitoring stations are, in practice, sited irregularly. Thus, there is a need to produce public data records that interpolate available data to a high…

Applications · Statistics 2009-06-08 Michael L. Stein

The growth of wind generation capacities in the past decades has shown that wind energy can contribute to the energy transition in many parts of the world. Being highly variable and complex to model, the quantification of the…

Signal Processing · Electrical Eng. & Systems 2022-07-19 Federico Amato , Fabian Guignard , Alina Walch , Nahid Mohajeri , Jean-Louis Scartezzini , Mikhail Kanevski

Wind power is attracting increasing attention around the world due to its renewable, pollution-free, and other advantages. However, safely and stably integrating the high permeability intermittent power energy into electric power systems…

Machine Learning · Computer Science 2023-05-31 Yang Zhang , Lingbo Liu , Xinyu Xiong , Guanbin Li , Guoli Wang , Liang Lin

We use tools from geometric statistics to analyze the usual estimation procedure of a template shape. This applies to shapes from landmarks, curves, surfaces, images etc. We demonstrate the asymptotic bias of the template shape estimation…

Computer Vision and Pattern Recognition · Computer Science 2017-02-03 Nina Miolane , Susan Holmes , Xavier Pennec

Detailed models of the solar cycle require information about the starting time and rise time as well as the shape and amplitude of the cycle. However, none of these models includes a discussion of the variations in the length of the cycle,…

Astrophysics · Physics 2007-05-23 Michael L. Rogers , Mercedes T. Richards , Donald St. P. Richards

In contemporary power systems, energy consumption prediction plays a crucial role in maintaining grid stability and resource allocation enabling power companies to minimize energy waste and avoid overloading the grid. While there are…

Machine Learning · Computer Science 2025-03-20 Aayam Bansal , Keertan Balaji , Zeus Lalani

Accurate forecasting of solar power generation with fine temporal and spatial resolution is vital for the operation of the power grid. However, state-of-the-art approaches that combine machine learning with numerical weather predictions…

Machine Learning · Computer Science 2021-11-09 Jelena Simeunović , Baptiste Schubnel , Pierre-Jean Alet , Rafael E. Carrillo

Leveraging spatio-temporal correlations among wind farms can significantly enhance the accuracy of ultra-short-term wind power forecasting. However, the complex and dynamic nature of these correlations presents significant modeling…

Machine Learning · Computer Science 2024-12-17 Xiaochong Dong , Xuemin Zhang , Ming Yang , Shengwei Mei

Spatio-temporal forecasting in various domains, like traffic prediction and weather forecasting, is a challenging endeavor, primarily due to the difficulties in modeling propagation dynamics and capturing high-dimensional interactions among…

Machine Learning · Computer Science 2024-05-29 Xiaobei Zou , Luolin Xiong , Yang Tang , Jürgen Kurths

Predicting high-dimensional dynamical systems with irregular time steps presents significant challenges for current data-driven algorithms. These irregularities arise from missing data, sparse observations, or adaptive computational…

Machine Learning · Computer Science 2026-03-27 Kewei Zhu , Yanze Xin , Jinwei Hu , Xiaoyuan Cheng , Yiming Yang , Sibo Cheng