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To improve the resilience of electric distribution systems, this paper proposes a stochastic multi-period mixed-integer linear programming model that determines where to underground distribution lines and how to coordinate mobile generators…

Systems and Control · Electrical Eng. & Systems 2022-04-25 Babak Taheri , Daniel K. Molzahn , Santiago Grijalva

This paper presents a distributionally robust stochastic model predictive control (SMPC) approach for linear discrete-time systems subject to unbounded and correlated additive disturbances. We consider hard input constraints and state…

Optimization and Control · Mathematics 2021-09-21 Christoph Mark , Steven Liu

In domains such as finance, healthcare, and robotics, managing worst-case scenarios is critical, as failure to do so can lead to catastrophic outcomes. Distributional Reinforcement Learning (DRL) provides a natural framework to incorporate…

Machine Learning · Computer Science 2026-02-13 Mehrdad Moghimi , Hyejin Ku

We consider various stochastic models that incorporate the notion of risk-averseness into the standard 2-stage recourse model, and develop novel techniques for solving the algorithmic problems arising in these models. A key notable feature…

Data Structures and Algorithms · Computer Science 2008-05-06 Chaitanya Swamy

This paper proposes a novel safety specification tool, called the distributionally robust risk map (DR-risk map), for a mobile robot operating in a learning-enabled environment. Given the robot's position, the map aims to reliably assess…

Robotics · Computer Science 2021-05-04 Astghik Hakobyan , Insoon Yang

Sensitivity analysis is a process of computing sensitivity indices, which are certain measures of importance of parameters in influencing the outputs of mathematical models. Sensitivity indices computed in variance-based sensitivity…

Computation · Statistics 2013-10-04 Tomasz Badowski

A central question in risk analysis is to identify the factors that drive the system toward a specific hazardous outcome, such as the exceedance of a given threshold. When relying on numerical simulators, we propose to study the…

Wide-area control is an effective mean to reduce inter-area oscillations of large power systems. Its dependence on communication of remote measurement signals makes the closed-loop system vulnerable to cyber attacks. This paper develops a…

Optimization and Control · Mathematics 2016-04-20 Yueyun Lu , Chin-Yao Chang , Wei Zhang , Laurentiu D. Marinovici , Antonio J. Conejo

In order to increase the resilience of distribution systems against high-impact low-probability (HILP) events, it is important to prioritize assets damaged by these events so that the lost loads, especially sensitive and important loads,…

Systems and Control · Electrical Eng. & Systems 2021-05-26 Hamidreza Sharifi Moghaddam , Reza Dashti , Abolfazl Ahmadi

Critical energy infrastructures are increasingly relying on advanced sensing and control technologies for efficient and optimal utilization of flexible energy resources. Algorithmic procedures are needed to ensure that such systems are…

Systems and Control · Electrical Eng. & Systems 2022-03-29 Nawaf Nazir , Thiagarajan Ramachandran , Saptarshi Bhattacharya , Ankit Singhal , Soumya Kundu , Veronica Adetola

Managing insurance and financial risk when data is limited is a key task in the insurance industry. In this paper, we focus on cases where the risk distribution is modeled as a mixture with some components estimable to high precision or…

Optimization and Control · Mathematics 2026-03-03 N. D. Shyamalkumar , Tianrun Wang

Distributed energy resources offer a control-based option to improve distribution system reliability by ensuring system states that positively impact component failure rates. This option is an attractive complement to otherwise costly and…

Optimization and Control · Mathematics 2025-10-27 Gejia Zhang , Robert Mieth

Machine learning (ML) models used in prediction and classification tasks may display performance disparities across population groups determined by sensitive attributes (e.g., race, sex, age). We consider the problem of evaluating the…

Machine Learning · Computer Science 2024-05-28 Lucas Monteiro Paes , Ananda Theertha Suresh , Alex Beutel , Flavio P. Calmon , Ahmad Beirami

The increasing frequency and severity of High Impact and Low Probability events such as hurricanes and windstorms pose significant challenges to the resilience of electrical power distribution systems, particularly in regions of New England…

Systems and Control · Electrical Eng. & Systems 2025-10-31 Hritik Gopal Shah , Gregory Giustino , Elli Ntakou

This paper addresses the transmission network expansion planning problem under uncertain demand and generation capacity. A two-stage adaptive robust optimization framework is adopted whereby the worst-case operating cost is accounted for…

Computational Engineering, Finance, and Science · Computer Science 2019-04-04 Cristina Roldán , Roberto Mínguez , Raquel García-Bertrand , José Manuel Arroyo

Distributional regression aims at estimating the conditional distribution of a targetvariable given explanatory co-variates. It is a crucial tool for forecasting whena precise uncertainty quantification is required. A popular methodology…

Statistics Theory · Mathematics 2024-11-22 Clément Dombry , Ahmed Zaoui

We consider a liquidation problem in which a risk-averse trader tries to liquidate a fixed quantity of an asset in the presence of market impact and random price fluctuations. The trader encounters a trade-off between the transaction costs…

Trading and Market Microstructure · Quantitative Finance 2022-01-31 Seungki Min , Ciamac C. Moallemi , Costis Maglaras

Fast and accurate estimation of sensitivity matrices is significant for the enhancement of distribution system modeling and automation. Analytical estimations have mainly focused on voltage magnitude sensitivity to active/reactive power…

Systems and Control · Electrical Eng. & Systems 2023-04-20 Salish Maharjan , Rui Cheng , Zhaoyu Wang

Efficient execution of parameter sensitivity analysis (SA) is critical to allow for its routinely use. The pathology image processing application investigated in this work processes high-resolution whole-slide cancer tissue images from…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-11-01 Eduardo Scartezini , Willian Barreiros , Tahsin Kurc , Jun Kong , Alba C. M. A. Melo , Joel Saltz , George Teodoro

We present the conditional value-at-risk (CVaR) in the context of Markov chains and Markov decision processes with reachability and mean-payoff objectives. CVaR quantifies risk by means of the expectation of the worst p-quantile. As such it…

Logic in Computer Science · Computer Science 2018-05-09 Jan Křetínský , Tobias Meggendorfer
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