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Accurate short-term power load forecasting is important to effectively manage, optimize, and ensure the robustness of modern power systems. This paper performs an empirical evaluation of a traditional statistical model and deep learning…

Machine Learning · Computer Science 2026-03-10 Suhasnadh Reddy Veluru , Sai Teja Erukude , Viswa Chaitanya Marella

Many astrophysical applications require efficient yet reliable forecasts of stellar evolution tracks. One example is population synthesis, which generates forward predictions of models for comparison with observations. The majority of…

Solar and Stellar Astrophysics · Physics 2024-02-16 K. Maltsev , F. R. N. Schneider , F. K. Roepke , A. I. Jordan , G. A. Qadir , W. E. Kerzendorf , K. Riedmiller , P. van der Smagt

Air pollution is a worldwide issue that affects the lives of many people in urban areas. It is considered that the air pollution may lead to heart and lung diseases. A careful and timely forecast of the air quality could help to reduce the…

Machine Learning · Computer Science 2022-11-21 Iryna Talamanova , Sabri Pllana

In climate studies, detecting spatial patterns that largely deviate from the sample mean still remains a statistical challenge. Although a Principal Component Analysis (PCA), or equivalently a Empirical Orthogonal Functions (EOF)…

Statistics Theory · Mathematics 2020-01-29 Alberto Bernacchia , Philippe Naveau

We introduce a generalized \textit{Probabilistic Approximate Optimization Algorithm (PAOA)}, a classical variational Monte Carlo framework that extends and formalizes prior work by Weitz \textit{et al.}~\cite{Combes_2023}, enabling…

Disordered Systems and Neural Networks · Physics 2025-12-09 Abdelrahman S. Abdelrahman , Shuvro Chowdhury , Flaviano Morone , Kerem Y. Camsari

Using elementary methods, we define and derive a particular weighted average of the trapezoidal and composite trapezoidal rules and show that this approximation, as well as its composite, is straightforward in computation. This…

Numerical Analysis · Mathematics 2012-08-06 Michael Brandon Youngberg

Since the start of the operational use of ensemble prediction systems, ensemble-based probabilistic forecasting has become the most advanced approach in weather prediction. However, despite the persistent development of the last three…

Applications · Statistics 2024-11-05 Sándor Baran , Mária Lakatos

This study presents a hybrid neural network model for short-term (1-6 hours ahead) surface wind speed forecasting, combining Numerical Weather Prediction (NWP) with observational data from ground weather stations. It relies on the MeteoNet…

Atmospheric and Oceanic Physics · Physics 2025-11-21 Roberta Baggio , Killian Pujol , Florian Pantillon , Dominique Lambert , Jean-Baptiste Filippi , Jean-François Muzy

One essential component of operational space weather forecasting is the prediction of solar flares. With a multitude of flare forecasting methods now available online it is still unclear which of these methods performs best, and none are…

Space Physics · Physics 2020-08-04 Jordan A. Guerra , Sophie A. Murray , D. Shaun Bloomfield , Peter T. Gallagher

We explore the applicability of a stochastic time-evolution algorithm based on probabilistic angle interpolation. To simplify the pre-processing of the algorithm, we take the continuous-time limit, thereby explicitly eliminating Trotter…

Quantum Physics · Physics 2026-04-06 Tomoya Hayata , Yuta Kikuchi

In the study of long-time correlations extremely long orbits must be calculated. This may be accomplished much more reliably using fixed-point arithmetic. Use of this arithmetic on the Cray-1 computer is illustrated.

Chaotic Dynamics · Physics 2007-05-23 Charles F. F. Karney

We present a new rational approximation algorithm based on the empirical interpolation method for interpolating a family of parametrized functions to rational polynomials with invariant poles, leading to efficient numerical algorithms for…

Numerical Analysis · Mathematics 2025-01-23 Aidi Li , Yuwen Li

By exploiting the superiority of non-orthogonal multiple access (NOMA), NOMA-aided mobile edge computing (MEC) can provide scalable and low-latency computing services for the Internet of Things. However, given the prevalent stochasticity of…

Information Theory · Computer Science 2021-07-01 Meihui Hua , Hui Tian , Xinchen Lyu , Wanli Ni , Gaofeng Nie

For short-term solar irradiance forecasting, the traditional point forecasting methods are rendered less useful due to the non-stationary characteristic of solar power. The amount of operating reserves required to maintain reliable…

Machine Learning · Computer Science 2023-08-02 Sakshi Mishra , Praveen Palanisamy

For pulsar projects it is often necessary to predict the pulse phase in advance, for example, when preparing for new observations. Interpolation of the pulse phase between existing measurements is also often required, for example, when…

Solar and Stellar Astrophysics · Physics 2015-06-04 X. P. Deng , W. Coles , G. Hobbs , M. J. Keith , R. N. Manchester , R. M. Shannon , J. H. Zheng

We investigate precursors and predictability of extreme increments in a time series. The events we are focusing on consist in large increments within successive time steps. We are especially interested in understanding how the quality of…

Data Analysis, Statistics and Probability · Physics 2009-11-11 Sarah Hallerberg , Eduardo G. Altmann , Detlef Holstein , Holger Kantz

Calculations of nuclei are often carried out in finite model spaces. Thus, finite-size corrections enter, and it is necessary to extrapolate the computed observables to infinite model spaces. In this work, we employ extrapolation methods…

Nuclear Theory · Physics 2019-11-25 W. G. Jiang , G. Hagen , T. Papenbrock

Spatiotemporal data is very common in many applications, such as manufacturing systems and transportation systems. It is typically difficult to be accurately predicted given intrinsic complex spatial and temporal correlations. Most of the…

Machine Learning · Computer Science 2020-04-24 Ziyue Li , Hao Yan , Chen Zhang , Fugee Tsung

Accurate prediction of financial time series is a key concern for market economy makers and investors. The article selects online store sales and Australian beer sales as representatives of non-stationary, trending, and seasonal financial…

Signal Processing · Electrical Eng. & Systems 2024-06-10 Wei Chen , Yuanyuan Yang , Jianyu Liu

Simple models have been used to describe ecological processes for over a century. However, the complexity of ecological systems makes simple models subject to modeling bias due to simplifying assumptions or unaccounted factors, limiting…

Quantitative Methods · Quantitative Biology 2024-01-24 Jorge Arroyo-Esquivel , Christopher A Klausmeier , Elena Litchman