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As with all measurements, the measurement of examinee ability, in terms of scores that the examinee obtains in a test, is also error-ridden. The quantification of such error or uncertainty in the test score data--or rather the complementary…

Applications · Statistics 2015-03-13 Satyendra Nath Chakrabartty , Kangrui Wang , Dalia Chakrabarty

One of the significant challenges in reinforcement learning (RL) when dealing with noise is estimating latent states from observations. Causality provides rigorous theoretical support for ensuring that the underlying states can be uniquely…

Accurate and reliable electricity load forecasts are becoming increasingly important as the share of intermittent resources in the system increases. Distribution System Operators (DSOs) are called to accurately forecast their production and…

Systems and Control · Electrical Eng. & Systems 2024-10-11 Pål Forr Austnes , Celia García-Pareja , Fabio Nobile , Mario Paolone

The ongoing evolution of the electric power systems brings about the need to cope with increasingly complex interactions of technical components and relevant actors. In order to integrate a more comprehensive spectrum of different aspects…

Systems and Control · Computer Science 2013-08-21 Markus Schläpfer , Tom Kessler , Wolfgang Kröger

Efficient and accurate state estimation is essential for the optimal management of the future smart grid. However, to meet the requirements of deploying the future grid at a large scale, the state estimation algorithm must be able to…

Information Theory · Computer Science 2017-09-29 Jung-Chieh Chen , Hwei-Ming Chung , Chao-Kai Wen , Wen-Tai Li , Jen-Hao Teng

We propose a data-based method to solve a multi-stage stochastic optimal power flow (OPF) problem based on limited information about forecast error distributions. The framework explicitly combines multi-stage feedback policies with any…

Optimization and Control · Mathematics 2018-10-29 Yi Guo , Kyri Baker , Emiliano Dall'Anese , Zechun Hu , Tyler H. Summers

Increasing frequency and intensity of extreme weather events motivates the assessment of power system resilience. The random nature of power system failures during these events mandates probabilistic resilience assessment, but…

Systems and Control · Electrical Eng. & Systems 2025-03-05 Aidan Gerkis , Xiaozhe Wang

State estimation in power distribution systems is a key component for increased reliability and optimal system performance. Well understood in transmission systems, state estimation is now an area of active research in distribution…

Signal Processing · Electrical Eng. & Systems 2017-12-06 C. Carquex , C. Rosenberg , K. Bhattacharya

Accurately and efficiently estimating system performance under uncertainty is paramount in power system planning and operation. Monte Carlo simulation is often used for this purpose, but convergence may be slow, especially when detailed…

Computation · Statistics 2020-10-23 Simon Tindemans , Goran Strbac

Optimal state estimation for linear discrete-time systems is considered. Motivated by the literature on differential privacy, the measurements are assumed to be corrupted by Laplace noise. The optimal least mean square error estimate of the…

Optimization and Control · Mathematics 2016-09-02 Farhad Farokhi , Jezdimir Milosevic , Henrik Sandberg

The state estimation algorithm estimates the values of the state variables based on the measurement model described as the system of equations. Prior to applying the state estimation algorithm, the existence and uniqueness of the solution…

Information Theory · Computer Science 2022-10-21 Mirsad Cosovic , Muhamed Delalic , Darijo Raca , Dejan Vukobratovic

Coherent systems are representative of many practical applications, ranging from infrastructure networks to supply chains. Probabilistic evaluation of such systems remains challenging, however, because existing decomposition-based methods…

Machine Learning · Computer Science 2026-04-21 Ji-Eun Byun , Hyeuk Ryu , Junho Song

One of the most promising approaches for complex technical systems analysis employs ensemble methods of classification. Ensemble methods enable to build a reliable decision rules for feature space classification in the presence of many…

Artificial Intelligence · Computer Science 2016-01-11 Alexei Zhukov , Victor Kurbatsky , Nikita Tomin , Denis Sidorov , Daniil Panasetsky , Aoife Foley

We present a formalism of the transition matrix Monte Carlo method. A stochastic matrix in the space of energy can be estimated from Monte Carlo simulation. This matrix is used to compute the density of states, as well as to construct…

Statistical Mechanics · Physics 2011-12-30 Jian-Sheng Wang , Robert H. Swendsen

The ever-increasing integration of stochastic renewable energy sources into power systems operation is making the supply-demand balance more challenging. While joint chance-constrained methods are equipped to model these complexities and…

Systems and Control · Electrical Eng. & Systems 2025-01-23 Meiyi Li , Javad Mohammadi

The suitability of the QDL method for analyzing the performance of ac power systems has been evaluated by application to a microgrid. The QDL method is based on a combination of Quantized State Systems (QSS) methods and the Latency…

Systems and Control · Electrical Eng. & Systems 2023-02-28 Navid Gholizadeh , Joseph M. Hood , Roger A. Dougal

Monte Carlo simulations of quantum field theories on a lattice become increasingly expensive as the continuum limit is approached since the cost per independent sample grows with a high power of the inverse lattice spacing. Simulations on…

High Energy Physics - Lattice · Physics 2021-01-04 Karl Jansen , Eike Hermann Müller , Robert Scheichl

Fast and accurate unveiling of power line outages is of paramount importance not only for preventing faults that may lead to blackouts, but also for routine monitoring and control tasks of the smart grid, including state estimation and…

Systems and Control · Computer Science 2015-03-19 Hao Zhu , Georgios B. Giannakis

We present an efficient Monte Carlo algorithm for determining the density of states which is based on the statistics of transition probabilities between states. By measuring the infinite temperature transition probabilities--that is, the…

Soft Condensed Matter · Physics 2009-11-10 M. S. Shell , P. G. Debenedetti , A. Z. Panagiotopoulos

We propose an efficient method for Monte Carlo simulation of quantum lattice models. Unlike most other quantum Monte Carlo methods, a single run of the proposed method yields the free energy and the entropy with high precision for the whole…

Statistical Mechanics · Physics 2009-11-10 Chiaki Yamaguchi , Naoki Kawashima , Yutaka Okabe
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