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This paper presents a simplified implementation of the arc-length method for computing the equilibrium paths of nonlinear structural mechanics problems using the finite element method. In the proposed technique, the predictor is computed by…

Computational Engineering, Finance, and Science · Computer Science 2020-12-21 Chennakesava Kadapa

The non-stationarity characteristic of the solar power renders traditional point forecasting methods to be less useful due to large prediction errors. This results in increased uncertainties in the grid operation, thereby negatively…

Machine Learning · Computer Science 2020-09-15 Sakshi Mishra , Praveen Palanisamy

Current time-series forecasting models are primarily based on transformer-style neural networks. These models achieve long-term forecasting mainly by scaling up the model size rather than through genuinely autoregressive (AR) rollout. From…

Machine Learning · Computer Science 2026-05-08 Zheng Li , Jerry Cheng , Huanying Gu

Time series forecasting has attracted significant attention, leading to the de-velopment of a wide range of approaches, from traditional statistical meth-ods to advanced deep learning models. Among them, the Auto-Regressive Integrated…

Machine Learning · Computer Science 2025-05-28 Thanh Son Nguyen , Van Thanh Nguyen , Dang Minh Duc Nguyen

The timing (cross-)calibration of astronomical instruments is often done by comparing pulsar times-of-arrival (TOAs) to a reference timing model. In high-energy astronomy, the choice of solar system ephemerides and source positions used to…

Solar based electricity generations have experienced strong and impactful growth in recent years. The regulation, scheduling, dispatching, and unit commitment of intermittent solar power is dependent on the accuracy of the forecasting…

Systems and Control · Electrical Eng. & Systems 2020-03-30 Shaktinarayana Mishra , Lokanath Tripathy , Prachitara Satapathy , P. K. Dash , Nitasha Sahani

A newly introduced method called Taylor-based Optimized Recursive Extended Exponential Smoothed Neural Networks Forecasting method is applied and extended in this study to forecast numerical values. Unlike traditional forecasting techniques…

Neural and Evolutionary Computing · Computer Science 2018-11-02 Emna Krichene , Wael Ouarda , Habib Chabchoub , Adel M. Alimi

Spatial prediction is commonly achieved under the assumption of a Gaussian random field (GRF) by obtaining maximum likelihood estimates of parameters, and then using the kriging equations to arrive at predicted values. For massive datasets,…

Methodology · Statistics 2021-07-20 Karl T. Pazdernik , Ranjan Maitra

Uncertainty in the prediction of future weather is commonly assessed through the use of forecast ensembles that employ a numerical weather prediction model in distinct variants. Statistical postprocessing can correct for biases in the…

Applications · Statistics 2016-06-16 Annette Möller , Thordis L. Thorarinsdottir , Alex Lenkoski , Tilmann Gneiting

Forecasting can estimate the statement of events according to the historical data and it is considerably important in many disciplines. At present, time series models have been utilized to solve forecasting problems in various domains. In…

Data Analysis, Statistics and Probability · Physics 2014-03-10 S. Chen , X. Lan , Y. Hu , Q. Liu , Y. Deng

Many businesses and industries require accurate forecasts for weekly time series nowadays. However, the forecasting literature does not currently provide easy-to-use, automatic, reproducible and accurate approaches dedicated to this task.…

Machine Learning · Computer Science 2023-12-05 Rakshitha Godahewa , Christoph Bergmeir , Geoffrey I. Webb , Pablo Montero-Manso

Extrapolation methods use the last few iterates of an optimization algorithm to produce a better estimate of the optimum. They were shown to achieve optimal convergence rates in a deterministic setting using simple gradient iterates. Here,…

Optimization and Control · Mathematics 2017-08-04 Damien Scieur , Alexandre d'Aspremont , Francis Bach

AIMS: An alternative to the traditional method for modeling kinematics of the Earth's rotation is proposed. The purpose of developing the new approach is to provide a self-consistent and simple description of the Earth's rotation in a way…

Astrophysics · Physics 2009-11-11 L. Petrov

Estimation of the generated power of renewable energy resources is in general important for planning operations as well as demand balance and power quality. This paper addresses the problem of the estimation of the short-term (3-hour ahead)…

Systems and Control · Electrical Eng. & Systems 2020-11-20 L. A. Dao , L. Ferrarini , D. La Carrubba

This paper describes the practical application of causal extrapolation of sequences for the purpose of forecasting. The methods and proofs have been applied to simulations to measure the range which data can be accurately extrapolated. Real…

Other Statistics · Statistics 2019-02-26 Nicholas James Rowe

Forecast reconciliation has become a prominent topic in recent forecasting literature, with a primary distinction made between cross-sectional and temporal hierarchies. This work focuses on temporal hierarchies, such as aggregating monthly…

Methodology · Statistics 2024-09-27 Lukas Neubauer , Peter Filzmoser

Electricity is bought and sold in wholesale markets at prices that fluctuate significantly. Short-term forecasting of electricity prices is an important endeavor because it helps electric utilities control risk and because it influences…

Computers and Society · Computer Science 2018-05-16 Elaheh Fata , Igor Kadota , Ian Schneider

Forecasting technological advancement in complex domains such as space exploration presents significant challenges due to the intricate interaction of technical, economic, and policy-related factors. The field of technology forecasting has…

Machine Learning · Computer Science 2025-12-24 Peng-Hung Tsai , Daniel Berleant

Short-term load forecasting is one of the crucial sections in smart grid. Precise forecasting enables system operators to make reliable unit commitment and power dispatching decisions. With the advent of big data, a number of artificial…

Signal Processing · Electrical Eng. & Systems 2018-09-27 Tiantian Li , Bo Wang , Min Zhou , Junzo Watada

This paper applies a recurrent neural network (RNN) method to forecast cotton and oil prices. We show how these new tools from machine learning, particularly Long-Short Term Memory (LSTM) models, complement traditional methods. Our results…

Statistical Finance · Quantitative Finance 2021-01-18 Racine Ly , Fousseini Traore , Khadim Dia