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CoVaR (conditional value-at-risk) is a crucial measure for assessing financial systemic risk, which is defined as a conditional quantile of a random variable, conditioned on other random variables reaching specific quantiles. It enables the…

Risk Management · Quantitative Finance 2023-10-31 Weihuan Huang

We propose nonparametric estimators for conditional value-at-risk (CVaR) and conditional expected shortfall (CES) associated with conditional distributions of a series of returns on a financial asset. The return series and the conditioning…

Methodology · Statistics 2016-12-28 Carlos Martins-Filho , Feng Yao , Maximo Torero

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

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

Risk-sensitive reinforcement learning (RL) aims to optimize policies that balance the expected reward and risk. In this paper, we present a novel risk-sensitive RL framework that employs an Iterated Conditional Value-at-Risk (CVaR)…

Machine Learning · Computer Science 2023-12-05 Yu Chen , Yihan Du , Pihe Hu , Siwei Wang , Desheng Wu , Longbo Huang

In economics, insurance and finance, value at risk (VaR) is a widely used measure of the risk of loss on a specific portfolio of financial assets. For a given portfolio, time horizon, and probability $\alpha$, the $100\alpha\%$ VaR is…

Risk Management · Quantitative Finance 2018-03-15 Raúl Torres , Rosa E. Lillo , Henry Laniado

Accurate computation of robust estimates for extremal quantiles of empirical distributions is an essential task for a wide range of applicative fields, including economic policymaking and the financial industry. Such estimates are…

Methodology · Statistics 2024-11-04 Pietro Bogani , Matteo Fontana , Luca Neri , Simone Vantini

We account for time-varying parameters in the conditional expectile-based value at risk (EVaR) model. The EVaR downside risk is more sensitive to the magnitude of portfolio losses compared to the quantile-based value at risk (QVaR). Rather…

Statistical Finance · Quantitative Finance 2020-09-29 Xiu Xu , Andrija Mihoci , Wolfgang Karl Härdle

Uncertainty quantification is becoming increasingly important in image segmentation, especially for high-stakes applications like medical imaging. While conformal risk control generalizes conformal prediction beyond standard miscoverage to…

Machine Learning · Computer Science 2025-04-11 Rui Luo , Zhixin Zhou

This paper proposes an important extension to Conditional Value-at-Risk (CoVaR), the popular systemic risk measure, and investigates its properties on the cryptocurrency market. The proposed Vulnerability-CoVaR (VCoVaR) is defined as the…

General Finance · Quantitative Finance 2022-03-22 Martin Waltz , Abhay Kumar Singh , Ostap Okhrin

This paper proposes a risk-aware control approach to enforce safety for discrete-time nonlinear systems subject to stochastic uncertainties. We derive some useful results on the worst-case Conditional Value-at-Risk (CVaR) and define a…

Optimization and Control · Mathematics 2023-08-29 Masako Kishida

Having reliable estimates of the occurrence rates of extreme events is highly important for insurance companies, government agencies and the general public. The rarity of an extreme event is typically expressed through its return period,…

Methodology · Statistics 2019-10-08 Ross Towe , Jonathan Tawn , Emma Eastoe , Rob Lamb

Large differences between the properties of the known sample of cataclysmic variable stars (CVs) and the predictions of the theory of binary star evolution have long been recognised. However, because all existing CV samples suffer from…

Astrophysics · Physics 2008-11-26 Magaretha L. Pretorius , Christian Knigge , Ulrich Kolb

Because human preferences are too complex to codify, AIs operate with misspecified objectives. Optimizing such objectives often produces undesirable outcomes; this phenomenon is known as reward hacking. Such outcomes are not necessarily…

Artificial Intelligence · Computer Science 2026-04-27 Henrik Marklund , Alex Infanger , Benjamin Van Roy

Value at risk (VaR) is a risk measure that has been widely implemented by financial institutions. This paper measures the correlation among asset price changes implied from VaR calculation. Empirical results using US and UK equity indexes…

Risk Management · Quantitative Finance 2011-03-30 John Cotter , François Longin

The valuation of over-the-counter derivatives is subject to a series of valuation adjustments known as xVA, which pose additional risks for financial institutions. Associated risk measures, such as the value-at-risk of an underlying…

Computational Finance · Quantitative Finance 2024-05-24 Michael B. Giles , Abdul-Lateef Haji-Ali , Jonathan Spence

Value at Risk (VaR) and stress testing are two of the most widely used approaches in portfolio risk management to estimate potential market value losses under adverse market moves. VaR quantifies potential loss in value over a specified…

Computational Finance · Quantitative Finance 2024-10-01 Krishan Mohan Nagpal

We study a continuous-time portfolio optimization problem under an explicit constraint on the Deviation Conditional Value-at-Risk (DCVaR), defined as the difference between the CVaR and the expected terminal wealth. While the mean-CVaR…

Optimization and Control · Mathematics 2025-10-01 Jérôme Lelong , Véronique Maume-Deschamps , William Thevenot

Existing metrics in competing risks survival analysis such as concordance and accuracy do not evaluate a model's ability to jointly predict the event type and the event time. To address these limitations, we propose a new metric, which we…

Methodology · Statistics 2019-08-20 Kartik Ahuja , Mihaela van der Schaar

Current value-based multi-agent reinforcement learning methods optimize individual Q values to guide individuals' behaviours via centralized training with decentralized execution (CTDE). However, such expected, i.e., risk-neutral, Q value…

Machine Learning · Computer Science 2021-03-23 Wei Qiu , Xinrun Wang , Runsheng Yu , Xu He , Rundong Wang , Bo An , Svetlana Obraztsova , Zinovi Rabinovich
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