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This paper presents a constraint-guided deep learning framework for developing physically consistent health indicators in bearing prognostics and health management. Conventional data-driven methods often lack physical plausibility, while…

Machine Learning · Computer Science 2025-03-13 Yonas Tefera , Quinten Van Baelen , Maarten Meire , Stijn Luca , Peter Karsmakers

We present a novel computational scheme to solve acoustic wave transmission problems over composite scatterers, i.e. penetrable obstacles possessing junctions or triple points. Our continuous problem is cast as a multiple traces time-domain…

Numerical Analysis · Mathematics 2022-04-01 Carlos Jerez-Hanckes , Ignacio Labarca

Quantum control protocols are typically devised in the time domain, leaving their spectral behavior to emerge only a posteriori. Here, we invert this paradigm. Starting from a target frequency-domain filter, we employ the…

Quantum Physics · Physics 2025-06-23 Loris Maria Cangemi , Yoav Woldiger , Amikam Levy , Assaf Hamo

Frequency-domain analysis has emerged as a powerful paradigm for time series analysis, offering unique advantages over traditional time-domain approaches while introducing new theoretical and practical challenges. This survey provides a…

Computational Engineering, Finance, and Science · Computer Science 2025-10-21 Qianru Zhang , Yuting Sun , Honggang Wen , Peng Yang , Xinzhu Li , Ming Li , Kwok-Yan Lam , Siu-Ming Yiu , Hongzhi Yin

With rapid integration of power sources with uncertainty, robustness must be carefully considered in the transmission constrained unit commitment (TCUC) problem. The overall computational complexity of the robust TCUC methods is closely…

Optimization and Control · Mathematics 2018-10-16 Xuan Li , Qiaozhu Zhai , Xiaohong Guan

This paper proposes a predefined-time (PDT) neurodynamic approach with time-varying coefficients for solving mixed variational inequality problems (MVIs). A class of first-order proximal neurodynamic models is developed to guarantee…

Optimization and Control · Mathematics 2026-05-13 Vajahat Karim Khan , Md. Kalimuddin Ahmad

We address functional uncertainty quantification for ill-posed inverse problems where it is possible to evaluate a possibly rank-deficient forward model, the observation noise distribution is known, and there are known parameter…

Methodology · Statistics 2025-02-06 Michael Stanley , Pau Batlle , Pratik Patil , Houman Owhadi , Mikael Kuusela

Analyzing time series in the frequency domain enables the development of powerful tools for investigating the second-order characteristics of multivariate processes. Parameters like the spectral density matrix and its inverse, the coherence…

Methodology · Statistics 2024-01-19 Jonas Krampe , Efstathios Paparoditis

The relevant integration of wind power into the grid has involved a remarkable impact on power system operation, mainly in terms of security and reliability due to the inherent loss of the rotational inertia as a consequence of such new…

In this work, we develop a novel data-driven Bayesian nonparametric Wasserstein distributionally robust optimization (BNWDRO) framework for decision-making under uncertainty. The proposed framework unifies a Bayesian nonparametric method…

Optimization and Control · Mathematics 2023-11-07 Chao Ning , Xutao Ma

We introduce a new numerical method for solving time-harmonic acoustic scattering problems. The main focus is on plane waves scattered by smoothly varying material inhomogeneities. The proposed method works for any frequency $\omega$, but…

Numerical Analysis · Mathematics 2022-01-14 Anton Arnold , Sjoerd Geevers , Ilaria Perugia , Dmitry Ponomarev

Stochastic Unit Commitment (SUC) has been proposed to manage the uncertainties driven by renewable integration, but it leads to significant computational complexity. When accelerated by Benders Decomposition (BD), the master problem becomes…

Quantum Physics · Physics 2026-02-25 Wei Hong , Wangkun Xu , Fei Teng

In this work, we propose an observation system based on the available data which solution is one-be-one mapping to the forward problem(with the unknown initial function) solution. It implies their solutions share the same linear structure…

Numerical Analysis · Mathematics 2026-04-27 Dakang Cen , Zhiyuan Li , Wenlong Zhang

There has been an increasing interest in developing efficient immersed boundary method (IBM) based on Cartesian grids, recently in the context of high-order methods. IBM based on volume penalization is a robust and easy to implement method…

Numerical Analysis · Mathematics 2021-07-22 Jiaqing Kou , Esteban Ferrer

In this paper, a highly efficient fast boundary element method (BEM) for solving large-scale engineering acoustic problems in a broad frequency range is developed and implemented. The acoustic problems are modeled by the Burton-Miller…

Numerical Analysis · Computer Science 2015-11-16 Yanchuang Cao , Lihua Wen , Jinyou Xiao , Yijun Liu

Long-term time series forecasting is a long-standing challenge in various applications. A central issue in time series forecasting is that methods should expressively capture long-term dependency. Furthermore, time series forecasting…

Machine Learning · Computer Science 2024-11-06 Xingyu Zhang , Siyu Zhao , Zeen Song , Huijie Guo , Jianqi Zhang , Changwen Zheng , Wenwen Qiang

Two-stage robust unit commitment (RUC) models have been widely used for day-ahead energy and reserve scheduling under high renewable integration. The current state of the art relies on budget-constrained polyhedral uncertainty sets to…

Optimization and Control · Mathematics 2019-05-14 Alexandre Velloso , Alexandre Street , David Pozo , José M. Arroyo , Noemi G. Cobos

We develop and test a data-driven and area-based fast frequency control scheme, which rapidly redispatches inverter-based resources to compensate for local power imbalances within the bulk power system. The approach requires no explicit…

Systems and Control · Electrical Eng. & Systems 2022-08-04 Etinosa Ekomwenrenren , John Simpson-Porco , Evangelos Farantatos , Mahendra Patel , Aboutaleb Haddadi , Lin Zhu

This paper develops a data-driven safe control framework for nonlinear discrete-time systems with parametric uncertainty and additive disturbances. The proposed approach constructs a data-consistent closed-loop representation that enables…

Systems and Control · Electrical Eng. & Systems 2026-04-02 Amir Modares , Bahare Kiumarsi , Hamidreza Modares

The unit commitment problem (UC) is an optimization problem concerning the operation of electrical generators. Many algorithms have been proposed for the UC and in recent years a more decentralized approach, by solving the UC with…

Optimization and Control · Mathematics 2023-11-23 Rogier Hans Wuijts , Marjan van den Akker , Machteld van den Broek