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Conditional Value at Risk (CVaR) is widely used to account for the preferences of a risk-averse agent in the extreme loss scenarios. To study the effectiveness of randomization in interdiction games with an interdictor that is both risk and…

Computer Science and Game Theory · Computer Science 2020-03-19 Utsav Sadana , Erick Delage

The Stochastic Shortest Path (SSP) problem models probabilistic sequential-decision problems where an agent must pursue a goal while minimizing a cost function. Because of the probabilistic dynamics, it is desired to have a cost function…

Artificial Intelligence · Computer Science 2023-03-02 Willy Arthur Silva Reis , Denis Benevolo Pais , Valdinei Freire , Karina Valdivia Delgado

We introduce the Value-at-Risk Constrained Policy Optimization algorithm (VaR-CPO), a sample efficient and conservative method designed to optimize Value-at-Risk (VaR) constrained reinforcement learning (RL) problems. Empirically, we…

Machine Learning · Computer Science 2026-05-01 Rohan Tangri , Jan-Peter Calliess

In risk-averse reinforcement learning (RL), the goal is to optimize some risk measure of the returns. A risk measure often focuses on the worst returns out of the agent's experience. As a result, standard methods for risk-averse RL often…

Machine Learning · Computer Science 2022-10-13 Ido Greenberg , Yinlam Chow , Mohammad Ghavamzadeh , Shie Mannor

In this paper, we present a task space-based local motion planner that incorporates collision avoidance and constraints on end-effector motion during the execution of a task. Our key technical contribution is the development of a novel…

Robotics · Computer Science 2021-04-19 Anirban Sinha , Anik Sarker , Nilanjan Chakraborty

This paper introduces the Lambda extension of the R\'{e}nyi entropic value-at-risk ($\Lambda$-EVaR), a novel family of risk measures that unifies the flexible confidence level structure of the $\Lambda$-framework with the higher-moment…

Risk Management · Quantitative Finance 2026-04-14 Zhenfeng Zou

Model predictive control (MPC) is an effective method for controlling robotic systems, particularly autonomous aerial vehicles such as quadcopters. However, application of MPC can be computationally demanding, and typically requires…

Machine Learning · Computer Science 2016-02-17 Tianhao Zhang , Gregory Kahn , Sergey Levine , Pieter Abbeel

To comply with increasingly stringent international standards in risk management and regulation, several approaches have been developed in the literature for forecasting tail-risk measures such as Value-at-Risk (VaR) and Expected Shortfall…

Risk Management · Quantitative Finance 2026-03-02 Alessandra Amendola , Vincenzo Candila , Antonio Naimoli , Giuseppe Storti

The problem of mixed static and dynamic obstacle avoidance is essential for path planning in highly dynamic environment. However, the paths formed by grid edges can be longer than the true shortest paths in the terrain since their headings…

Artificial Intelligence · Computer Science 2021-03-01 Junxiao Xue , Xiangyan Kong , Bowei Dong , Mingliang Xu

This work presents a methodology to incorporate reliability constraints in the optimal power systems expansion planning problem. Besides LOLP and EPNS, traditionally used in power systems, this work proposes the use of the risk measures VaR…

Optimization and Control · Mathematics 2019-11-11 Luiz Carlos da Costa , Fernanda Souza Thomé , Joaquim Dias Garcia , Mario V. F. Pereira

In this paper we present a framework for risk-sensitive model predictive control (MPC) of linear systems affected by stochastic multiplicative uncertainty. Our key innovation is to consider a time-consistent, dynamic risk evaluation of the…

Optimization and Control · Mathematics 2018-04-26 Sumeet Singh , Yin-Lam Chow , Anirudha Majumdar , Marco Pavone

In this paper, we propose a learning-based Model Predictive Control (MPC) approach for the polytopic Linear Parameter-Varying (LPV) systems with inexact scheduling parameters (as exogenous signals with inexact bounds), where the Linear Time…

Systems and Control · Electrical Eng. & Systems 2022-06-13 Hossein Nejatbakhsh Esfahani , Sebastien Gros

Value-at-Risk is one of the most popular risk management tools in the financial industry. Over the past 20 years several attempts to include VaR in the portfolio selection process have been proposed. However, using VaR as a risk measure in…

Portfolio Management · Quantitative Finance 2021-11-19 Francesco Cesarone , Manuel L Martino , Fabio Tardella

Under general multivariate regular variation conditions, the extreme Value-at-Risk of a portfolio can be expressed as an integral of a known kernel with respect to a generally unknown spectral measure supported on the unit simplex. The…

Statistics Theory · Mathematics 2020-03-09 Robert Yuen , Stilian Stoev , Dan Cooley

This article proposes and evaluates a new safety concept called backup plan safety for path planning of autonomous vehicles under mission uncertainty using model predictive control (MPC). Backup plan safety is defined as the ability to…

Systems and Control · Electrical Eng. & Systems 2023-10-10 Ran Tao , Hunmin Kim , Hyung-Jin Yoon , Wenbin Wan , Naira Hovakimyan , Lui Sha , Petros Voulgaris

This article presents a new optimal control-based interactive motion planning algorithm for an autonomous vehicle interacting with a human-driven vehicle. The ego vehicle solves a joint optimization problem for its motion planning involving…

Systems and Control · Electrical Eng. & Systems 2024-11-25 Viranjan Bhattacharyya , Ardalan Vahidi

Autonomous Valet Parking (AVP) requires planning under partial observability, where parking spot availability evolves as dynamic agents enter and exit spots. Existing approaches either rely only on instantaneous spot availability or make…

This paper proposes a motion control scheme for robots operating in a dynamic environment with concave obstacles. A Model Predictive Controller (MPC) is constructed to drive the robot towards a goal position while ensuring collision…

Robotics · Computer Science 2023-03-29 Albin Dahlin , Yiannis Karayiannidis

This paper proposes an interaction and safety-aware motion-planning method for an autonomous vehicle in uncertain multi-vehicle traffic environments. The method integrates the ability of the interaction-aware interacting multiple model…

Systems and Control · Electrical Eng. & Systems 2023-09-14 Jian Zhou , Björn Olofsson , Erik Frisk

Autonomous systems are increasingly deployed in real-world environments, where they must achieve high performance while maintaining safety under state and input constraints. Although Model Predictive Control (MPC) provides a principled…

Robotics · Computer Science 2026-04-28 Hao Wang , Nam Nguyen , Armand Jordana , Ludovic Righetti , Somil Bansal