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We consider electricity capacity expansion models, which optimize investment and retirement decisions by minimizing both investment and operation costs. In order to provide credible support for planning and policy decisions, these models…

Optimization and Control · Mathematics 2025-01-08 Filippo Pecci , Jesse D. Jenkins

Effective investment planning decisions are crucial to ensure cyber-physical infrastructures satisfy performance requirements over an extended time horizon. Computing these decisions often requires solving Capacity Expansion Problems…

Machine Learning · Computer Science 2023-03-23 Aron Brenner , Rahman Khorramfar , Saurabh Amin

In order to enable the transition towards renewable energy sources, probabilistic energy forecasting is of critical importance for incorporating volatile power sources such as solar energy into the electrical grid. Solar energy forecasting…

Applications · Statistics 2021-05-03 Benedikt Schulz , Mehrez El Ayari , Sebastian Lerch , Sándor Baran

CO$_2$ emission reduction and increasing volatile renewable energy generation mandate stronger energy sector coupling and the use of energy storage. In such multi-modal energy systems, it is challenging to determine the effect of an…

Signal Processing · Electrical Eng. & Systems 2024-10-30 Christopher Ripp , Florian Steinke

In this work, we mainly present the optimal convergence rates of the temporally second-order finite element scheme for solving the electrohydrodynamic equation. Suffering from the highly coupled nonlinearity, the convergence analysis of the…

Numerical Analysis · Mathematics 2025-05-06 Shengfeng Wang , Zeyu Xia , Maojun Li

The coupled cluster iteration scheme for determining the cluster amplitudes involves a set of nonlinearly coupled difference equations. In the space spanned by the amplitudes, the set of equations are analysed as a multivariate…

Cloud and precipitation microphysics packages in atmospheric general circulation models typically use first-order time integration methods with a large time step, requiring ad hoc limiters and substepping of the sedimentation scheme to…

Atmospheric and Oceanic Physics · Physics 2026-03-13 Justin Dong , Sean P. Santos , Steven B. Roberts , Christopher J. Vogl , Carol S. Woodward

Contemporary tasks of complex system simulation are often related to the issue of uncertainty management. It comes from the lack of information or knowledge about the simulated system as well as from restrictions of the model set being…

A natural notion of rationality/consistency for aggregating models is that, for all (possibly aggregated) models $A$ and $B$, if the output of model $A$ is $f(A)$ and if the output model $B$ is $f(B)$, then the output of the model obtained…

Theoretical Economics · Economics 2021-12-13 Hamed Hamze Bajgiran , Houman Owhadi

Deep structured-prediction energy-based models combine the expressive power of learned representations and the ability of embedding knowledge about the task at hand into the system. A common way to learn parameters of such models consists…

Machine Learning · Computer Science 2019-03-01 Aleksandr Shevchenko , Anton Osokin

We consider state-aggregation schemes for Markov chains from an information-theoretic perspective. Specifically, we consider aggregating the states of a Markov chain such that the mutual information of the aggregated states separated by T…

Physics and Society · Physics 2021-08-23 Mauro Faccin , Michael T. Schaub , Jean-Charles Delvenne

Ensembles of artificial neural networks show improved generalization capabilities that outperform those of single networks. However, for aggregation to be effective, the individual networks must be as accurate and diverse as possible. An…

Artificial Intelligence · Computer Science 2007-05-23 P. M. Granitto , P. F. Verdes , H. A. Ceccatto

Combinatorial decision problems arise in many different domains such as scheduling, routing, packing, bioinformatics, and many more. Despite recent advances in developing scalable solvers, there are still many problems which are often very…

Artificial Intelligence · Computer Science 2016-05-24 Barry Hurley , Deepak Mehta , Barry O'Sullivan

To monitor critical infrastructure, high quality sensors sampled at a high frequency are increasingly used. However, as they produce huge amounts of data, only simple aggregates are stored. This removes outliers and fluctuations that could…

Databases · Computer Science 2021-06-30 Søren Kejser Jensen , Torben Bach Pedersen , Christian Thomsen

The Reseau de Transport d'Electricit\'e (RTE) is the French main electricity network operational manager and dedicates large number of resources and efforts towards understanding climate time series data. We discuss here the problem and the…

The increased awareness regarding the impact of energy consumption on the environment has led to an increased focus on reducing energy consumption. Feedback on the appliance level energy consumption can help in reducing the energy demands…

Systems and Control · Electrical Eng. & Systems 2019-07-16 Shalini Pandey , George Karypis

Battery energy storage systems can be used for peak demand reduction in power systems, leading to significant economic benefits. Two practical challenges are 1) accurately determining the peak load days and hours and 2) quantifying and…

Machine Learning · Computer Science 2022-03-29 Tao Fu , Huifen Zhou , Xu Ma , Z. Jason Hou , Di Wu

The integration of large shares of electricity produced by non-dispatchable Renewable Energy Sources (RES) leads to an increasingly volatile energy generation side, with temporary local overproduction. The application of energy storage…

Optimization and Control · Mathematics 2016-03-14 Lars Siemer , Frank Schöpfer , David Kleinhans

Like with most large-scale systems, the evaluation of quantitative properties of collective adaptive systems is an important issue that crosscuts all its development stages, from design (in the case of engineered systems) to runtime…

Systems and Control · Computer Science 2016-07-12 Mirco Tribastone

Microgrids are recognized as a relevant tool to absorb decentralized renewable energies in the energy mix. However, the sequential handling of multiple stochastic productions and demands, and of storage, make their management a delicate…

Optimization and Control · Mathematics 2021-06-09 François Pacaud , Michel de Lara , Jean-Philippe Chancelier , Pierre Carpentier
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