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The concept of effective order is a popular methodology in the deterministic literature for the construction of efficient and accurate integrators for differential equations over long times. The idea is to enhance the accuracy of a…

数值分析 · 数学 2016-08-18 Gilles Vilmart

In this paper, we propose the Reduced Order Hysteretic Magnetization (ROHM) model to describe the magnetization and instantaneous power loss of composite superconductors subject to time-varying magnetic fields. Once the parameters of the…

加速器物理 · 物理学 2025-02-06 Julien Dular , Arjan Verweij , Mariusz Wozniak

Inverter-based microgrids are an important technology for sustainable electrical power systems and typically use droop-controlled grid-forming inverters to interface distributed energy resources to the network and control the voltage and…

最优化与控制 · 数学 2020-03-12 Yemi Ojo , Jeremy Watson , Ioannis Lestas

We consider the problem of jointly modeling and clustering populations of tensors by introducing a high-dimensional tensor mixture model with heterogeneous covariances. To effectively tackle the high dimensionality of tensor objects, we…

统计方法学 · 统计学 2024-11-21 Biao Cai , Jingfei Zhang , Will Wei Sun

Large scale circuit simulation, such as power delivery network analysis, has become increasingly challenge in the VLSI design verification flow. Power delivery network can be simulated by both SPICE-type circuit-based model and…

计算工程、金融与科学 · 计算机科学 2015-04-28 Q. He

With a specific emphasis on control design objectives, achieving accurate system modeling with limited complexity is crucial in parametric system identification. The recently introduced deep structured state-space models (SSM), which…

机器学习 · 计算机科学 2024-03-25 Marco Forgione , Manas Mejari , Dario Piga

We propose a general strategy for reduced order modeling of systems that display highly nonlinear oscillations. By considering a continuous family of forced periodic orbits defined in relation to a stable fixed point and subsequently…

动力系统 · 数学 2023-02-07 Dan Wilson , Kai Sun

This paper presents a novel closed-form solution for a low-order system frequency response (SFR) model that is accurate for all time periods and an accompanying approximation for representing primary frequency responses at two different…

系统与控制 · 电气工程与系统科学 2021-10-05 Julius Susanto , Alireza Fereidouni , Pierluigi Mancarella , Dean Sharafi

This tutorial-style overview article examines the fundamental principles and methods of robustness, using wireless sensing and communication (WSC) as the narrative and exemplifying framework. First, we formalize the conceptual and…

信号处理 · 电气工程与系统科学 2026-02-11 Shixiong Wang , Wei Dai , Li-Chun Wang , Geoffrey Ye Li

In modern power systems, shiftable loads contribute to the flexibility needed to increase robustness and ensure security. Thermal loads are among the most promising candidates for providing such service due to the large thermal storage time…

系统与控制 · 电气工程与系统科学 2021-01-01 Johanna Vorwerk , Uros Markovic , Petros Aristidou , Evangelos Vrettos , Gabriela Hug

This paper proposes a novel method for learning highly nonlinear, multivariate functions from examples. Our method takes advantage of the property that continuous functions can be approximated by polynomials, which in turn are representable…

机器学习 · 计算机科学 2020-05-05 Sandor Szedmak , Anna Cichonska , Heli Julkunen , Tapio Pahikkala , Juho Rousu

Model order reduction techniques simplify high-dimensional dynamical systems by deriving lower-dimensional models that retain essential system characteristics. These techniques are crucial for the controller design of complex systems while…

系统与控制 · 电气工程与系统科学 2026-03-18 Behrad Samari , Henrik Sandberg , Karl H. Johansson , Abolfazl Lavaei

To train machine learning models that are robust to distribution shifts in the data, distributionally robust optimization (DRO) has been proven very effective. However, the existing approaches to learning a distributionally robust model…

机器学习 · 计算机科学 2022-03-21 Farzin Haddadpour , Mohammad Mahdi Kamani , Mehrdad Mahdavi , Amin Karbasi

This paper proposes a higher-order multiscale computational method for nonlinear thermo-electric coupling problems of composite structures, which possess temperature-dependent material properties and nonlinear Joule heating. The innovative…

数值分析 · 数学 2025-01-24 Hao Dong , Zongze Yang , Yufeng Nie

Recent studies have demonstrated the great potential of reduced order modeling for parametric dynamical systems using low-rank tensor decompositions (LRTD). In particular, within the framework of interpolatory tensorial reduced order models…

数值分析 · 数学 2025-10-14 Alexander V. Mamonov , Maxim A. Olshanskii

Many real-world datasets are represented as tensors, i.e., multi-dimensional arrays of numerical values. Storing them without compression often requires substantial space, which grows exponentially with the order. While many tensor…

机器学习 · 计算机科学 2023-09-21 Taehyung Kwon , Jihoon Ko , Jinhong Jung , Kijung Shin

In this paper, we propose high order numerical methods to solve a 2D advection diffusion equation, in the highly oscillatory regime. We use an integrator strategy that allows the construction of arbitrary high-order schemes {leading} to an…

数值分析 · 数学 2024-11-11 Clarissa Astuto

In this paper, we develop new fast and efficient algorithms for designing single/multiple unimodular waveforms/codes with good auto- and cross-correlation or weighted correlation properties, which are highly desired in radar and…

信息论 · 计算机科学 2018-02-08 Yongzhe Li , Sergiy A. Vorobyov

Solving complex partial differential equations is vital in the physical sciences, but often requires computationally expensive numerical methods. Reduced-order models (ROMs) address this by exploiting dimensionality reduction to create fast…

机器学习 · 计算机科学 2026-05-19 Robert Stephany , William Michael Anderson , Youngsoo Choi

With the increasing complexity of modern power systems, conventional dynamic load modeling with ZIP and induction motors (ZIP + IM) is no longer adequate to address the current load characteristic transitions. In recent years, the WECC…

系统与控制 · 电气工程与系统科学 2020-04-17 Xinan Wang , Yishen Wang , Di Shi , Jianhui Wang , Zhiwei Wang