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This paper presents a new prediction model for time series data by integrating a time-varying Geometric Brownian Motion model with a pricing mechanism used in financial engineering. Typical time series models such as Auto-Regressive…

应用统计 · 统计学 2020-01-01 Abdullah AlShelahi , Jingxing Wang , Mingdi You , Eunshin Byon , Romesh Saigal

Combinig the harmonic balance method (HBM) and a continuation method is a well-known technique to follow the periodic solutions of dynamical systems when a control parameter is varied. However, since deriving the algebraic system containing…

动力系统 · 数学 2009-12-03 Bruno Cochelin , Christophe Vergez

Large renewable penetration has been witnessed in power systems, resulting in reduced levels of system inertia and increasing requirements for frequency response services. There have been plenty of studies developing frequency-constrained…

系统与控制 · 电气工程与系统科学 2025-07-25 Yi Wang , Goran Strbac

To ensure frequency security in power systems, both the rate of change of frequency (RoCoF) and the frequency nadir (FN) must be explicitly accounted for in real-time frequency-constrained optimal power flow (FCOPF). However, accurately…

系统与控制 · 电气工程与系统科学 2026-02-13 Fan Jiang , Xingpeng Li , Pascal Van Hentenryck

Discovering the set of closed frequent patterns is one of the fundamental problems in Data Mining. Recent Constraint Programming (CP) approaches for declarative itemset mining have proven their usefulness and flexibility. But the wide use…

人工智能 · 计算机科学 2016-04-19 Mehdi Maamar , Nadjib Lazaar , Samir Loudni , Yahia Lebbah

Willems' fundamental lemma has recently received an impressive amount of attention from the data-driven control community. In this paper, we formulate a version of this celebrated result based on frequency-domain data. In doing so, we…

最优化与控制 · 数学 2026-02-09 T. J. Meijer , K. J. A. Scheres , S. A. N. Nouwens , V. S. Dolk , W. P. M. H. Heemels

Frequency control reserves are an essential ancillary service in any electric power system, guaranteeing that generation and demand of active power are balanced at all times. Traditionally, conventional power plants are used for frequency…

系统与控制 · 计算机科学 2013-12-24 Theodor Borsche , Andreas Ulbig , Göran Andersson

Soft- and hard-constrained Physics Informed Neural Networks (PINNs) have achieved great success in solving partial differential equations (PDEs). However, these methods still face great challenges when solving the Navier-Stokes equations…

流体动力学 · 物理学 2024-11-14 Chuyu Zhou , Tianyu Li , Chenxi Lan , Rongyu Du , Guoguo Xin , Pengyu Nan , Hangzhou Yang , Guoqing Wang , Xun Liu , Wei Li

Multivariate time series forecasting is crucial across various industries, where accurate extraction of complex periodic and trend components can significantly enhance prediction performance. However, existing models often struggle to…

机器学习 · 计算机科学 2025-05-08 Yulong Wang , Yushuo Liu , Xiaoyi Duan , Kai Wang

Many methods for estimating integrated volatility and related functionals of semimartingales in the presence of jumps require specification of tuning parameters for their use in practice. In much of the available theory, tuning parameters…

统计理论 · 数学 2024-10-23 B. Cooper Boniece , José E. Figueroa-López , Yuchen Han

To address the control challenges associated with the increasing share of inverter-connected renewable energy resources, this paper proposes a direct data-driven approach for fast frequency control in the bulk power system. The proposed…

系统与控制 · 电气工程与系统科学 2023-04-12 Etinosa Ekomwenrenren , John W. Simpson-Porco , Evangelos Farantatos , Mahendra Patel , Aboutaleb Haddadi , Lin Zhu

We investigate the emergence of non-linear diffusivity in kinetically constrained, one-dimensional symmetric exclusion processes satisfying the gradient condition. Recent developments introduced new gradient dynamics based on the Bernstein…

概率论 · 数学 2025-04-18 G. S. Nahum

This paper presents a hybrid model-AI framework for real-time dynamic security assessment of frequency stability in power systems. The proposed method rapidly estimates key frequency parameters under a dynamic set of disturbances, which are…

系统与控制 · 电气工程与系统科学 2025-12-12 Francisco Zelaya-Arrazabal , Sebastian Martinez-Lizana , Hector Pulgar-Painemal , Jin Zhao

Control Barrier Functions (CBFs) offer a framework for ensuring set invariance and designing constrained control laws. However, crafting a valid CBF relies on system-specific assumptions and the availability of an accurate system model,…

系统与控制 · 电气工程与系统科学 2025-05-14 Mohammad Bajelani , Klaske van Heusden

We propose time-domain boundary integral and coupled boundary integral and variational formulations for acoustic scattering by linearly elastic obstacles. Well posedness along with stability and error bounds with explicit time dependence…

数值分析 · 数学 2018-04-23 George C. Hsiao , Tonatiuh Sanchez-Vizuet , Francisco--Javier Sayas

The advent of predictive methodologies has catalyzed the emergence of data-driven decision support across various domains. However, developing models capable of effectively handling input time series data presents an enduring challenge.…

机器学习 · 计算机科学 2023-11-17 Yijun Li , Mengzhuo Guo , Miłosz Kadziński , Qingpeng Zhang

Problem definition: A key challenge in supervised learning is data scarcity, which can cause prediction models to overfit to the training data and perform poorly out of sample. A contemporary approach to combat overfitting is offered by…

最优化与控制 · 数学 2025-10-10 Reza Belbasi , Aras Selvi , Wolfram Wiesemann

We address the problem of estimating time and frequency shifts of a known waveform in the presence of multiple measurement vectors (MMVs). This problem naturally arises in radar imaging and wireless communications. Specifically, a signal…

信息论 · 计算机科学 2021-03-01 Maral Safari , Sajad Daei , Farzan Haddadi

We study time-varying semidefinite programs (TV-SDPs), which are semidefinite programs whose data (and solutions) are functions of time. Our focus is on the setting where the data varies polynomially with time. We show that under a strict…

最优化与控制 · 数学 2019-12-03 Amir Ali Ahmadi , Bachir El Khadir

Unit commitment is an important optimization problem in power system operations, classified as NP-hard. This paper presents a hybrid quantum-classical method for the unit commitment problem with time-dependent constraints, where decisions…

量子物理 · 物理学 2026-05-19 Kien X. Nguyen , Ilya Safro , Xiaoyuan Liu