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Fabrication process variations are a major source of yield degradation in the nano-scale design of integrated circuits (IC), microelectromechanical systems (MEMS) and photonic circuits. Stochastic spectral methods are a promising technique…

Computational Engineering, Finance, and Science · Computer Science 2016-11-08 Zheng Zhang , Tsui-Wei Weng , Luca Daniel

Decisions for a variable renewable resource generators commitment in the energy market are typically made in advance when little information is obtainable about wind availability and market prices. Much research has been published…

Optimization and Control · Mathematics 2021-03-09 Razan A. H. Al-Lawati , Jose L. Crespo-Vazquez , Tasnim Ibn Faiz , Xin Fang , Md. Noor-E-Alam

Neural quantum states efficiently represent many-body wavefunctions with neural networks, but the cost of Monte Carlo sampling limits their scaling to large system sizes. Here we address this challenge by combining sparse Boltzmann machine…

We consider a sequential decision making process, such as renewable energy trading or electrical production scheduling, whose outcome depends on the future realization of a random factor, such as a meteorological variable. We assume that…

Trading and Market Microstructure · Quantitative Finance 2021-07-01 Peter Tankov , Laura Tinsi

Integrating measurements and historical data can enhance control systems through learning-based techniques, but ensuring performance and safety is challenging. Robust model predictive control strategies, like stochastic model predictive…

Systems and Control · Electrical Eng. & Systems 2023-03-28 J. Pohlodek , H. Alsmeier , B. Morabito , C. Schlauch , A. Savchenko , R. Findeisen

A meta-model of the input-output data of a computationally expensive simulation is often employed for prediction, optimization, or sensitivity analysis purposes. Fitting is enabled by a designed experiment, and for computationally expensive…

Methodology · Statistics 2023-12-01 Andrew Gill , David J. Warne , Antony M. Overstall , Clare McGrory , James M. McGree

The automated construction of coarse-grained models represents a pivotal component in computer simulation of physical systems and is a key enabler in various analysis and design tasks related to uncertainty quantification. Pertinent methods…

Machine Learning · Statistics 2019-09-11 Constantin Grigo , Phaedon-Stelios Koutsourelakis

The semiconductor and IC industry is facing the issue of high energy consumption. In modern days computers and processing systems are designed based on the Turing machine and Von Neumann's architecture. This architecture mainly focused on…

Emerging Technologies · Computer Science 2020-11-11 S. Rahimi Kari

Stochastic methods are a crucial area in contemporary climate research and are increasingly being used in comprehensive weather and climate prediction models as well as reduced order climate models. Stochastic methods are used as…

Atmospheric and Oceanic Physics · Physics 2020-11-16 Christian L. E. Franzke , Terence J. O'Kane , Judith Berner , Paul D. Williams , Valerio Lucarini

High intermittent renewable penetration in the energy mix presents challenges in robustness for the management of power systems' operation. If a tail realization of the distribution of weather yields a prolonged period of time during which…

Optimization and Control · Mathematics 2026-05-27 Daniel Mastropietro , Vyacheslav Kungurtsev

The simulation of stochastic wind loads is necessary for many applications in wind engineering. The proper orthogonal decomposition (POD)-based spectral representation method is a popular approach used for this purpose due to its…

Computational Engineering, Finance, and Science · Computer Science 2023-05-11 Thays Guerra Araujo Duarte , Srinivasan Arunachalam , Arthriya Subgranon , Seymour M J Spence

Many fields of science and engineering rely on running simulations with complex and computationally expensive models to understand the involved processes in the system of interest. Nevertheless, the high cost involved hamper reliable and…

Machine Learning · Computer Science 2019-12-16 Daniel Heestermans Svendsen , Luca Martino , Gustau Camps-Valls

Quantum computers have attracted much attention in recent years. This is because the development of the actual quantum machine is accelerating. Research on how to use quantum computers is active in the fields such as quantum chemistry and…

Quantum Physics · Physics 2024-12-02 Kazumasa Ueno , Hiroaki Miura

In this short paper, we study the simulation of a large system of stochastic processes subject to a common driving noise and fast mean-reverting stochastic volatilities. This model may be used to describe the firm values of a large pool of…

Numerical Analysis · Mathematics 2021-10-13 Andrei Cozma , Christoph Reisinger

While existing mathematical descriptions can accurately account for phenomena at microscopic scales (e.g. molecular dynamics), these are often high-dimensional, stochastic and their applicability over macroscopic time scales of physical…

Machine Learning · Statistics 2016-09-08 P. S. Koutsourelakis , Elias Bilionis

A wind turbines' power curve is easily accessible damage sensitive data, and as such is a key part of structural health monitoring in wind turbines. Power curve models can be constructed in a number of ways, but the authors argue that…

Machine Learning · Computer Science 2022-10-03 J. H. Mclean , M. R. Jones , B. J. O'Connell , A. E Maguire , T. J. Rogers

The recent accelerated growth in the computing power has generated popularization of experimentation with dynamic computer models in various physical and engineering applications. Despite the extensive statistical research in computer…

Methodology · Statistics 2018-10-18 Ru Zhang , Chunfang Devon Lin , Pritam Ranjan

We study linear policy approximations for the risk-conscious operation of an industrial energy system with uncertain wind power, significant and variable electricity demand, and high thermal output, as found in a modern foundry. The system…

Optimization and Control · Mathematics 2025-11-24 Johannes Nicklaus , Lea Brass , Gunnar Schubert

There is an emerging need for efficient solutions to stochastic AC Optimal Power Flow ({AC-}OPF) to ensure optimal and reliable grid operations in the presence of increasing demand and generation uncertainty. This paper presents a highly…

Systems and Control · Electrical Eng. & Systems 2020-06-11 Ilyes Mezghani , Sidhant Misra , Deepjyoti Deka

We provide a new approach to approximate emulation of large computer experiments. By focusing expressly on desirable properties of the predictive equations, we derive a family of local sequential design schemes that dynamically define the…

Methodology · Statistics 2014-10-13 Robert B. Gramacy , Daniel W. Apley