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This paper proposes a safety analysis method that facilitates a tunable balance between the worst-case and risk-neutral perspectives. First, we define a risk-sensitive safe set to specify the degree of safety attained by a stochastic…

Systems and Control · Electrical Eng. & Systems 2020-07-28 Margaret P. Chapman , Jonathan P. Lacotte , Kevin M. Smith , Insoon Yang , Yuxi Han , Marco Pavone , Claire J. Tomlin

Autonomous cyber and cyber-physical systems need to perform decision-making, learning, and control in unknown environments. Such decision-making can be sensitive to multiple factors, including modeling errors, changes in costs, and impacts…

Artificial Intelligence · Computer Science 2023-04-05 Abdullah Al Maruf , Luyao Niu , Bhaskar Ramasubramanian , Andrew Clark , Radha Poovendran

The problem of finding the optimal portfolio for investors is called the portfolio optimization problem. Such problem mainly concerns the expectation and variability of return (i.e., mean and variance). Although the variance would be the…

Portfolio Management · Quantitative Finance 2020-07-21 Kei Nakagawa , Shuhei Noma , Masaya Abe

Optimal inventory leads to stochastic optimization problems where deterministic delivery decisions have to be made in advance of stochastic demand realizations. Similarly, risk deposits have to be given before the random outcomes of…

Optimization and Control · Mathematics 2025-11-18 Andreas H. Hamel , Andreas Löhne

In this paper a class of combinatorial optimization problems is discussed. It is assumed that a solution can be constructed in two stages. The current first-stage costs are precisely known, while the future second-stage costs are only known…

Data Structures and Algorithms · Computer Science 2018-12-20 Marc Goerigk , Adam Kasperski , Pawel Zielinski

In recent years, multi-access edge computing (MEC) is a key enabler for handling the massive expansion of Internet of Things (IoT) applications and services. However, energy consumption of a MEC network depends on volatile tasks that…

Physics and Society · Physics 2021-01-07 Md. Shirajum Munir , Sarder Fakhrul Abedin , Nguyen H. Tran , Zhu Han , Eui-Nam Huh , Choong Seon Hong

Planning through crowded environments under uncertain obstacle motions remains difficult, as stochastic interactions often induce overly conservative behavior or reduced efficiency. To address this challenge, we propose an end-to-end risk…

Robotics · Computer Science 2026-05-21 Xinyi Wang , Taekyung Kim , Bardh Hoxha , Georgios Fainekos , Dimitra Panagou

This paper studies mean-risk portfolio optimization models using the conditional value-at-risk (CVaR) as a risk measure. We also employ a cardinality constraint for limiting the number of invested assets. Solving such a…

Optimization and Control · Mathematics 2020-08-10 Ken Kobayashi , Yuichi Takano , Kazuhide Nakata

A deep reinforcement learning technique is presented for task offloading decision-making algorithms for a multi-access edge computing (MEC) assisted unmanned aerial vehicle (UAV) network in a smart farm Internet of Things (IoT) environment.…

Networking and Internet Architecture · Computer Science 2023-02-16 Anne Catherine Nguyen , Turgay Pamuklu , Aisha Syed , W. Sean Kennedy , Melike Erol-Kantarci

Planning in Markov decision processes (MDPs) typically optimises the expected cost. However, optimising the expectation does not consider the risk that for any given run of the MDP, the total cost received may be unacceptably high. An…

Artificial Intelligence · Computer Science 2022-03-11 Marc Rigter , Paul Duckworth , Bruno Lacerda , Nick Hawes

In the wake of the highly electrified future ahead of us, the role of energy storage is crucial wherever distributed generation is abundant, such as in microgrid settings. Given the variety of storage options that are becoming more and more…

Machine Learning · Computer Science 2021-03-26 S. Tsianikas , N. Yousefi , J. Zhou , M. Rodgers , D. W. Coit

One major obstacle that precludes the success of reinforcement learning in real-world applications is the lack of robustness, either to model uncertainties or external disturbances, of the trained policies. Robustness is critical when the…

Machine Learning · Computer Science 2020-05-05 Rahul Singh , Qinsheng Zhang , Yongxin Chen

Options are generally learned by using an inaccurate environment model (or simulator), which contains uncertain model parameters. While there are several methods to learn options that are robust against the uncertainty of model parameters,…

Machine Learning · Computer Science 2019-11-01 Takuya Hiraoka , Takahisa Imagawa , Tatsuya Mori , Takashi Onishi , Yoshimasa Tsuruoka

We study logistical investment flexibility provided by modular processing technologies for mitigating risk. Specifically, we propose a multi-stage stochastic programming formulation that determines optimal capacity expansion plans that…

Optimization and Control · Mathematics 2021-02-10 Yue Shao , Yicheng Hu , Victor M. Zavala

In real-world scenarios, risk-averse learning is valuable for mitigating potential adverse outcomes. However, the delayed feedback makes it challenging to assess and manage risk effectively. In this paper, we investigate risk-averse…

Machine Learning · Computer Science 2025-08-06 Siyi Wang , Zifan Wang , Karl Henrik Johansson , Sandra Hirche

Multi-stage stochastic programming is a well-established framework for sequential decision making under uncertainty by seeking policies that are fully adapted to the uncertainty. Often such flexible policies are not desirable, and the…

Optimization and Control · Mathematics 2024-08-06 Beste Basciftci , Shabbir Ahmed , Nagi Gebraeel

Optimizing static risk-averse objectives in Markov decision processes is difficult because they do not admit standard dynamic programming equations common in Reinforcement Learning (RL) algorithms. Dynamic programming decompositions that…

Optimization and Control · Mathematics 2024-07-04 Jia Lin Hau , Erick Delage , Mohammad Ghavamzadeh , Marek Petrik

Flexibility options, such as demand response, energy storage and interconnection, have the potential to reduce variation in electricity prices between different future scenarios, therefore reducing investment risk. Moreover, investment in…

General Economics · Economics 2021-10-11 Thomas Möbius , Iegor Riepin , Felix Müsgens , Adriaan H. van der Weijde

This paper develops risk-averse models to support system operators in planning and operating the electricity grid under uncertainty from renewable power generation. We incorporate financial risk hedging using conditional value at risk…

Optimization and Control · Mathematics 2026-01-06 Arash Khojaste , Jonathan Pearce , Daniela Pucci de Farias , Geoffrey Pritchard , Golbon Zakeri

Optimizing risk measures such as Value-at-Risk (VaR) and Conditional Value-at-Risk (CVaR) of a general loss distribution is usually difficult, because 1) the loss function might lack structural properties such as convexity or…

Optimization and Control · Mathematics 2016-08-03 Helin Zhu , Joshua Hale , Enlu Zhou