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This paper introduces an accurate edge-based smoothed finite element method (ES-FEM) for electromagnetic analysis for both two dimensional cylindrical and three dimensional cartesian systems, which shows much better performance in terms of…

Computational Engineering, Finance, and Science · Computer Science 2019-10-30 Yangfan Zhang , Pengfei Wang , Wenping Li , Shunchuan Yang

Predicting multivariate time series is crucial, demanding precise modeling of intricate patterns, including inter-series dependencies and intra-series variations. Distinctive trend characteristics in each time series pose challenges, and…

Machine Learning · Computer Science 2024-07-08 Guoqi Yu , Jing Zou , Xiaowei Hu , Angelica I. Aviles-Rivero , Jing Qin , Shujun Wang

In this paper, we introduce a new adaptive data analysis method to study trend and instantaneous frequency of nonlinear and non-stationary data. This method is inspired by the Empirical Mode Decomposition method (EMD) and the recently…

Numerical Analysis · Mathematics 2012-02-28 Thomas Y. hou , Zuoqiang Shi

Accurate electricity demand forecasting is challenging due to the strong multi-periodicity of real-world demand series, which makes effective modeling of recurrent temporal patterns crucial. Decomposition techniques make such structure…

Machine Learning · Computer Science 2026-03-03 Weibin Feng , Ran Tao , John Cartlidge , Jin Zheng

Ensuring software quality remains a critical challenge in complex and dynamic development environments, where software defects can result in significant operational and financial risks. This paper proposes an innovative framework for…

Software Engineering · Computer Science 2024-12-17 Mohsen Hesamolhokama , Amirahmad Shafiee , Mohammadreza Ahmaditeshnizi , Mohammadamin Fazli , Jafar Habibi

Time series forecasting plays a crucial role in many real-world applications, and numerous complex forecasting models have been proposed in recent years. Despite their architectural innovations, most state-of-the-art models report only…

Machine Learning · Computer Science 2025-05-28 Reza Nematirad , Anil Pahwa , Balasubramaniam Natarajan

Semiparametric regression offers a flexible framework for modeling non-linear relationships between a response and covariates. A prime example are generalized additive models where splines (say) are used to approximate non-linear functional…

Statistics Theory · Mathematics 2018-10-05 Francis K. C. Hui , Chong You , Han Lin Shang , Samuel Müller

Deploying machine learning models in safety-related do-mains (e.g. autonomous driving, medical diagnosis) demands for approaches that are explainable, robust against adversarial attacks and aware of the model uncertainty. Recent deep…

Computer Vision and Pattern Recognition · Computer Science 2020-12-14 Jan Kronenberger , Anselm Haselhoff

The problem of universally predicting an individual continuous sequence using a deterministic finite-state machine (FSM) is considered. The empirical mean is used as a reference as it is the constant that fits a given sequence within a…

Information Theory · Computer Science 2013-02-07 Ronen Dar , Meir feder

Expectation-Maximization (EM) is a prominent approach for parameter estimation of hidden (aka latent) variable models. Given the full batch of data, EM forms an upper-bound of the negative log-likelihood of the model at each iteration and…

Machine Learning · Computer Science 2020-02-24 Ehsan Amid , Manfred K. Warmuth

Dynamic mode decomposition (DMD) is a widely used data-driven algorithm for predicting the future states of dynamical systems. However, its standard formulation often struggles with poor long-term predictive accuracy. To address this…

Numerical Analysis · Mathematics 2026-04-21 Qiuqi Li , Chang Liu , Yifei Yang

Making accurate forecasts for a complex system is a challenge in various practical applications. The major difficulty in solving such a problem concerns nonlinear spatiotemporal dynamics with time-varying characteristics. Takens' delay…

Signal Processing · Electrical Eng. & Systems 2024-04-09 Hao Peng , Wei Wang , Pei Chen , Rui Liu

Reduced-order models have long been used to understand the behavior of nonlinear partial differential equations (PDEs). Naturally, reduced-order modeling techniques come at the price of computational accuracy for a decrease in computation…

Numerical Analysis · Mathematics 2023-07-26 Jovan Žigić

Recently there has been significant interest in measuring time-varying functional connectivity (TVC) between different brain regions using resting-state functional magnetic resonance imaging (rs-fMRI) data. One way to assess the…

Signal Processing · Electrical Eng. & Systems 2022-03-29 Hamed Honari , Martin A. Lindquist

Dynamic mode decomposition (DMD) is a widely used data-driven algorithm for predicting the future states of dynamical systems. However, its standard formulation often struggles with poor long-term predictive accuracy. To address this…

Numerical Analysis · Mathematics 2025-10-23 Qiuqi Li , Chang Liu , Yifei Yang

Climate change is one of the most critical challenges that our planet is facing today. Rising global temperatures are already bringing noticeable changes to Earth's weather and climate patterns with an increased frequency of unpredictable…

Atmospheric and Oceanic Physics · Physics 2024-01-19 Karandeep Singh , Chaeyoon Jeong , Naufal Shidqi , Sungwon Park , Arjun Nellikkattil , Elke Zeller , Meeyoung Cha

Traffic flow forecasting is a crucial task in intelligent transport systems. Deep learning offers an effective solution, capturing complex patterns in time-series traffic flow data to enable the accurate prediction. However, deep learning…

Machine Learning · Computer Science 2024-11-07 Qiyuan Zhu , A. K. Qin , Hussein Dia , Adriana-Simona Mihaita , Hanna Grzybowska

LLM routing aims to select the most appropriate model for each query, balancing competing performance metrics such as accuracy and cost across a pool of language models. Prior approaches typically adopt a decoupled strategy, where the…

Artificial Intelligence · Computer Science 2026-01-05 Asterios Tsiourvas , Wei Sun , Georgia Perakis

End-effector trajectory tracking algorithms find joint motions that drive robot manipulators to track reference trajectories. In practical scenarios, anytime algorithms are preferred for their ability to quickly generate initial motions and…

Robotics · Computer Science 2025-02-07 Yeping Wang , Michael Gleicher

Ensemble weather forecasts enable a measure of uncertainty to be attached to each forecast, by computing the ensemble's spread. However, generating an ensemble with a good spread-error relationship is far from trivial, and a wide range of…

Atmospheric and Oceanic Physics · Physics 2021-01-05 Sebastian Scher , Gabriele Messori
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