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Consideration of generation, load and network uncertainties in modern transmission network expansion planning (TNEP) is gaining interest due to large-scale integration of renewable energy sources with the existing grid. However, it is a…

Optimization and Control · Mathematics 2019-08-05 Soumya Das , Ashu Verma , P. R. Bijwe

Reliability analysis typically relies on deterministic simulators, which yield repeatable outputs for identical inputs. However, many real-world systems display intrinsic randomness, requiring stochastic simulators whose outputs are random…

Methodology · Statistics 2025-07-08 A. Pires , M. Moustapha , S. Marelli , B. Sudret

In this work, an adaptive predictive control scheme for linear systems with unknown parameters and bounded additive disturbances is proposed. In contrast to related adaptive control approaches that robustly consider the parametric…

Systems and Control · Electrical Eng. & Systems 2025-03-03 Johannes Teutsch , Christopher Narr , Sebastian Kerz , Dirk Wollherr , Marion Leibold

We consider the effect of multiple stochastic parameters on the time-average quantities of chaotic systems. We employ the recently proposed \cite{Kantarakias_Papadakis_2023} sensitivity-enhanced generalized polynomial chaos expansion,…

Chaotic Dynamics · Physics 2023-11-02 George Papadakis , Kyriakos D. Kantarakias

We introduce the dynamics mode decomposition for monitoring wide-area power grid networks from sparse measurement data. The mathematical framework fuses data from multiple sensors based on multivariate statistics, providing accurate full…

Pattern Formation and Solitons · Physics 2019-06-11 J. Jorge Ramos , J. Nathan Kutz

Probabilistic circuits (PCs) are a tractable representation of probability distributions allowing for exact and efficient computation of likelihoods and marginals. There has been significant recent progress on improving the scale and…

Machine Learning · Computer Science 2022-11-24 Meihua Dang , Anji Liu , Guy Van den Broeck

Wireless network capacity is one of the most important performance metrics for wireless communication networks. Future wireless networks will be composed of extremely large number of base stations (BSs) and users, and organized in the form…

Information Theory · Computer Science 2022-11-11 Dandan Jiang , Han Hao , Lu Yang , Xiang Chen , Wei Han , Bo Bai

We present a distributionally robust optimization (DRO) approach for the transmission expansion planning problem, considering both long- and short-term uncertainties on the system demand and non-dispatchable renewable generation. On the…

Optimization and Control · Mathematics 2020-03-17 Alexandre Velloso , David Pozo , Alexandre Street

Robust physics (e.g., governing equations and laws) discovery is of great interest for many engineering fields and explainable machine learning. A critical challenge compared with general training is that the term and format of governing…

Numerical Analysis · Mathematics 2021-02-15 Zhiming Zhang , Yongming Liu

Uncertainty calibration in pre-trained transformers is critical for their reliable deployment in risk-sensitive applications. Yet, most existing pre-trained transformers do not have a principled mechanism for uncertainty propagation through…

Transfer learning across heterogeneous data distributions (a.k.a. domains) and distinct tasks is a more general and challenging problem than conventional transfer learning, where either domains or tasks are assumed to be the same. While…

Machine Learning · Computer Science 2021-03-26 Yang Tan , Yang Li , Shao-Lun Huang

This article presents two novel adaptive-sparse polynomial dimensional decomposition (PDD) methods for solving high-dimensional uncertainty quantification problems in computational science and engineering. The methods entail global…

Numerical Analysis · Mathematics 2015-06-18 Vaibhav Yadav , Sharif Rahman

Transmission Expansion Planning (TEP) optimizes power grid upgrades and investments to ensure reliable, efficient, and cost-effective electricity delivery while addressing grid constraints. To support growing demand and renewable energy…

Systems and Control · Electrical Eng. & Systems 2026-05-19 Kevin Wu , Rabab Haider , Pascal Van Hentenryck

A high number of electric vehicles (EVs) in the transportation sector necessitates an advanced scheduling framework for e-mobility ecosystem operation as a whole in order to overcome range anxiety and create a viable business model for…

Systems and Control · Electrical Eng. & Systems 2021-10-26 Mahsa Bagheri Tookanlou , S. Ali Pourmousavi , Mousa Marzband

We study the problem of finite-time constrained optimal control of unknown stochastic linear time-invariant systems, which is the key ingredient of a predictive control algorithm -- albeit typically having access to a model. We propose a…

Optimization and Control · Mathematics 2021-07-22 Jeremy Coulson , John Lygeros , Florian Dörfler

In complex and unknown processes, global models are initially generated over the entire experimental space but often fail to provide accurate predictions in local areas. A common approach is to use local models, which requires partitioning…

Machine Learning · Computer Science 2025-05-29 Dominik Polke , Tim Kösters , Elmar Ahle , Dirk Söffker

Increasing distributed energy resources (DERs) may result in reactive power imbalance in a transmission power system (TPS). An active distribution power system (DPS) having DERs reportedly can work as a reactive power prosumer to help…

Systems and Control · Computer Science 2018-05-09 Zhengshuo Li , Jianhui Wang , Hongbin Sun , Feng Qiu , Qinglai Guo

Distributed Compressive Sensing (DCS) improves the signal recovery performance of multi signal ensembles by exploiting both intra- and inter-signal correlation and sparsity structure. However, the existing DCS was proposed for a very…

Information Theory · Computer Science 2012-11-29 Jeonghun Park , Seunggye Hwang , Janghoon Yang , Dongku Kim

From an operational and planning perspective, it is important to quantify the impact of increasing penetration of photovoltaics on the distribution system. Most existing impact assessment studies are scenario-based where derived results are…

Systems and Control · Electrical Eng. & Systems 2021-04-30 Sai Munikoti , Balasubramaniam Natarajan , Kumarsinh Jhala , Kexing Lai

Assessing small-signal stability of power systems composed of thousands of interacting generators is a computationally challenging task. To reduce the computational burden, this paper introduces a novel condition to assess and certify…

Systems and Control · Electrical Eng. & Systems 2021-03-30 Amin Gholami , Xu Andy Sun