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Risk measures such as Conditional Value-at-Risk (CVaR) focus on extreme losses, where scarce tail data makes model error unavoidable. To hedge misspecification, one evaluates worst-case tail risk over an ambiguity set. Using Extreme Value…

Risk Management · Quantitative Finance 2026-01-22 Anand Deo

We study issues of robustness in the context of Quantitative Risk Management and Optimization. We develop a general methodology for determining whether a given risk measurement related optimization problem is robust, which we call…

Risk Management · Quantitative Finance 2021-02-12 Paul Embrechts , Alexander Schied , Ruodu Wang

Conditional Value-at-Risk (CVaR) is a central tail-risk measure in stochastic structural mechanics, yet its accurate evaluation under high-dimensional, spatially correlated material uncertainty remains computationally prohibitive for…

Machine Learning · Statistics 2026-02-11 Alireza Tabarraei

Motivated by the prominence of Conditional Value-at-Risk (CVaR) as a measure for tail risk in settings affected by uncertainty, we develop a new formula for approximating CVaR based optimization objectives and their gradients from limited…

Methodology · Statistics 2020-08-25 Anand Deo , Karthyek Murthy

In Offline Model Learning for Planning and in Offline Reinforcement Learning, the limited data set hinders the estimate of the Value function of the relative Markov Decision Process (MDP). Consequently, the performance of the obtained…

Machine Learning · Computer Science 2026-05-26 Giorgio Angelotti , Nicolas Drougard , Caroline Ponzoni Carvalho Chanel

Safe control in dynamic traffic environments remains a major challenge for autonomous vehicles (AVs), as ego vehicle and obstacle states are inherently affected by sensing noise and estimation uncertainty. However, existing studies have not…

Systems and Control · Electrical Eng. & Systems 2026-03-17 Pei Yu Chang , Qizhe Xu , Vishnu Renganathan , Qadeer Ahmed

This paper discusses an alternative explanation for the empirical findings contradicting the positive relationship between risk (variance) and reward (expected return). We show that these contradicting results might be due to the false…

Risk Management · Quantitative Finance 2017-04-19 Mihaly Ormos , Dusan Timotity

The increasing penetration of flexible loads, such as electric vehicles and AI data-centers necessitates new methodologies for quantifying electrical load hosting capacity under operational constraints and flexible connection agreements. We…

Systems and Control · Electrical Eng. & Systems 2026-04-23 Gobinda Chandra Sarker , Nathan Dahlin

This paper presents sensitivity analyses of resilience-based active distribution system planning solutions with respect to different parameters. The distribution system planning problem is formulated as a two-stage risk-averse stochastic…

Systems and Control · Electrical Eng. & Systems 2022-11-28 Abodh Poudyal , Anamika Dubey

In this work, we study the sample complexity problem of risk-sensitive Reinforcement Learning (RL) with a generative model, where we aim to maximize the Conditional Value at Risk (CVaR) with risk tolerance level $\tau$ at each step, a…

Machine Learning · Computer Science 2025-03-25 Zilong Deng , Simon Khan , Shaofeng Zou

Operational risk capital estimation under Basel II/III requires quantifying aggregate losses at extreme confidence levels of 99.9% and beyond, yet the standard Loss Distribution Approach (LDA) assumes independence between loss frequency and…

Computational Engineering, Finance, and Science · Computer Science 2026-05-25 Juan Ballesteros Gómez , Eduardo C. Garrido-Merchán , Pedro Pablo Pérez-Velasco

We consider an optimal investment and risk control problem for an insurer under the mean-variance (MV) criterion. By introducing a deterministic auxiliary process defined forward in time, we formulate an alternative time-consistent problem…

Portfolio Management · Quantitative Finance 2021-01-12 Yang Shen , Bin Zou

In this paper we discuss a general methodology to compute the market risk measure over long time horizons and at extreme percentiles, which are the typical conditions needed for estimating Economic Capital. The proposed approach extends the…

Risk Management · Quantitative Finance 2014-08-12 Luca Spadafora , Marco Dubrovich , Marcello Terraneo

We propose an enhancement to wholesale electricity markets whereby the exposure of consumers to increasingly large and volatile consumer payments arising as a byproduct of volatile real-time net loads -- i.e., loads minus renewable outputs…

Optimization and Control · Mathematics 2024-08-13 Daniel Bienstock , Yury Dvorkin , Cheng Guo , Robert Mieth , Jiayi Wang

We investigate a framework for robo-advisors to estimate non-expert clients' risk aversion using adaptive binary-choice questionnaires. We model risk aversion using cost functions and spectral risk measures in a static setting. We prove the…

Machine Learning · Statistics 2025-12-25 Ziteng Cheng , Anthony Coache , Sebastian Jaimungal

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

We consider risk-averse learning in repeated unknown games where the goal of the agents is to minimize their individual risk of incurring significantly high cost. Specifically, the agents use the conditional value at risk (CVaR) as a risk…

Machine Learning · Computer Science 2022-09-08 Zifan Wang , Yi Shen , Zachary I. Bell , Scott Nivison , Michael M. Zavlanos , Karl H. Johansson

Risk-averse reinforcement learning finds application in various high-stakes fields. Unlike classical reinforcement learning, which aims to maximize expected returns, risk-averse agents choose policies that minimize risk, occasionally…

Machine Learning · Computer Science 2025-05-27 Igor Udovichenko , Olivier Croissant , Anita Toleutaeva , Evgeny Burnaev , Alexander Korotin

Conditional Value-at-Risk (CoVaR) quantifies systemic financial risk by measuring the loss quantile of one asset, conditional on another asset experiencing distress. We develop a Transformer-based methodology that integrates financial news…

Econometrics · Economics 2026-02-16 Junyu Chen , Tom Boot , Lingwei Kong , Weining Wang

In this paper, we introduce an efficient and end-to-end quantum algorithm tailored for computing the Value-at-Risk (VaR) and conditional Value-at-Risk (CVar) for a portfolio of European options. Our focus is on leveraging quantum…

Quantum Physics · Physics 2024-06-04 Yusen Wu , Jingbo B. Wang , Yuying Li