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Reservoir Computing (RC) is a time-efficient computational paradigm derived from Recurrent Neural Networks (RNNs). The Simple Cycle Reservoir (SCR) is an RC model that stands out for its minimalistic design, offering extremely low…

神经与进化计算 · 计算机科学 2025-04-22 Ziqiang Li , Robert Simon Fong , Kantaro Fujiwara , Kazuyuki Aihara , Gouhei Tanaka

In this work, we developed an efficient approach to compute ensemble averages in systems with pairwise-additive energetic interactions between the entities. Methods involving full enumeration of the configuration space result in exponential…

生物大分子 · 定量生物学 2020-10-13 Arun V. Sathanur , Nathan A. Baker

State aggregation is a popular model reduction method rooted in optimal control. It reduces the complexity of engineering systems by mapping the system's states into a small number of meta-states. The choice of aggregation map often depends…

机器学习 · 计算机科学 2019-10-17 Yaqi Duan , Zheng Tracy Ke , Mengdi Wang

In this paper, nonlinear model reduction for power systems is performed by the balancing of empirical controllability and observability covariances that are calculated around the operating region. Unlike existing model reduction methods,…

系统与控制 · 计算机科学 2016-08-30 Junjian Qi , Jianhui Wang , Hui Liu , Aleksandar D. Dimitrovski

The analysis of many problems of interest associated with Markov chains, e.g. stationary distributions, moments of first passage time distributions and moments of occupation time random variables, involves the solution of a system of linear…

概率论 · 数学 2012-08-29 Jeffrey J. Hunter

Mixture model-based clustering, usually applied to multidimensional data, has become a popular approach in many data analysis problems, both for its good statistical properties and for the simplicity of implementation of the…

统计方法学 · 统计学 2013-12-30 Allou Samé , Faicel Chamroukhi , Gérard Govaert , Patrice Aknin

We consider the coordinated vehicle platooning problem on a tree network with time constraints while the routes of vehicles are given. The problem is to coordinate the departure time of each vehicle to enable platoon formation hence…

最优化与控制 · 数学 2024-11-25 Fengqiao Luo

Platooning connected and autonomous vehicles (CAVs) provide significant benefits in terms of traffic efficiency and fuel economy. However, most existing platooning systems assume the availability of pre-determined plans, which is not…

系统与控制 · 电气工程与系统科学 2023-08-09 Xi Xiong , Maonan Wang , Dengfeng Sun , Li Jin

Tensor networks like matrix product states (MPSs) and matrix product operators (MPOs) are powerful tools for representing exponentially large states and operators, with applications in quantum many-body physics, machine learning, numerical…

量子物理 · 物理学 2026-03-11 Chris Camaño , Ethan N. Epperly , Joel A. Tropp

Reduced-rank regressions are powerful tools used to identify co-movements within economic time series. However, this task becomes challenging when we observe matrix-valued time series, where each dimension may have a different co-movement…

计量经济学 · 经济学 2024-07-12 Alain Hecq , Ivan Ricardo , Ines Wilms

We propose an energy amplification technique to address the issue that existing models easily overlook low-energy components in time series forecasting. This technique comprises an energy amplification block and an energy restoration block.…

机器学习 · 计算机科学 2025-02-25 Jingru Fei , Kun Yi , Wei Fan , Qi Zhang , Zhendong Niu

Markov processes are widely used mathematical models for describing dynamic systems in various fields. However, accurately simulating large-scale systems at long time scales is computationally expensive due to the short time steps required…

机器学习 · 计算机科学 2024-01-29 Marco Federici , Patrick Forré , Ryota Tomioka , Bastiaan S. Veeling

Power flow calculations for systems with a large number of buses, e.g. grids with multiple voltage levels, or time series based calculations result in a high computational effort. A common power flow solver for the efficient analysis of…

统计计算 · 统计学 2018-04-19 Florian Schäfer , Martin Braun

Corrective Transmission Switching can be used by the grid operator to relieve line overloading and voltage violations, improve system reliability, and reduce system losses. Power grid optimization by means of line switching is typically…

系统与控制 · 计算机科学 2018-03-19 Shuai Wang , John Baillieul

This paper considers optimization over multiple renewal systems coupled by time average constraints. These systems act asynchronously over variable length frames. For each system, at the beginning of each renewal frame, it chooses an action…

最优化与控制 · 数学 2018-05-23 Xiaohan Wei , Michael J. Neely

Series FACTS devices, such as the variable series reactor (VSR), have the ability to continuously regulate the transmission line reactance so as to control power flow. This paper presents a new approach to optimally locating such devices in…

最优化与控制 · 数学 2018-01-11 Xiaohu Zhang , Kevin Tomsovic , Aleksandar Dimitrovski

This paper describes a step-by-step procedure that converts a physical model of a building into a Markov Process that characterizes energy consumption of this and other similar buildings. Relative to existing thermo-physics-based building…

系统与控制 · 计算机科学 2019-02-20 Roman Pop , Ali Hassan , Kenneth Bruninx , Michael Chertkov , Yury Dvorkin

This paper introduces a generalised version of importance subsampling for time series reduction/aggregation in optimisation-based power system planning models. Recent studies indicate that reliably determining optimal electricity…

应用统计 · 统计学 2020-08-26 Adriaan P Hilbers , David J Brayshaw , Axel Gandy

We are interested in the analysis of very large continuous-time Markov chains (CTMCs) with many distinct rates. Such models arise naturally in the context of reliability analysis, e.g., of computer network performability analysis, of power…

计算机科学中的逻辑 · 计算机科学 2015-07-24 Ernst Moritz Hahn , Holger Hermanns , Ralf Wimmer , Bernd Becker

This article proposes a Model Reference Adaptive Control (MRAC) strategy to achieve fixed-time convergence of parameter estimation and tracking errors for unknown linear time-invariant systems, without relying on the persistence of…

系统与控制 · 电气工程与系统科学 2026-04-23 Chayan Kumar Paul , Krishanu Nath , Indra Narayan Kar , Denis Efimov , Rosane Ushirobira