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Conditional value-at-risk (CoVaR) is one of the most important measures of systemic risk. It is defined as the high quantile conditional on a related variable being extreme, widely used in the field of quantitative risk management. In this…

Methodology · Statistics 2026-02-12 Zhaowen Wang , Yutao Liu , Deyuan Li

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

Cyber networks are fundamental to many organization's infrastructure, and the size of cyber networks is increasing rapidly. Risk measurement of the entities/endpoints that make up the network via available knowledge about possible threats…

Systems and Control · Electrical Eng. & Systems 2025-01-29 Arda Bayer , David Maluf , Behnaam Aazhang

Given the high volatility and susceptibility to extreme events in the cryptocurrency market, forecasting tail risk is of paramount importance. Value-at-Risk (VaR), a quantile-based risk measure, is widely used for assessing tail risk and is…

Statistics Theory · Mathematics 2025-01-22 Wenchao Xu , Xinyu Zhang , Jeng-Min Chiou , Yuying Sun

Optimizing Conditional Value-at-risk (CVaR) using policy gradient (a.k.a CVaR-PG) faces significant challenges of sample inefficiency. This inefficiency stems from the fact that it focuses on tail-end performance and overlooks many sampled…

Machine Learning · Computer Science 2026-02-06 Yudong Luo , Erick Delage

Risk measure forecast and model have been developed in order to not only provide better forecast but also preserve its (empirical) property especially coherent property. Whilst the widely used risk measure of Value-at-Risk (VaR) has shown…

Risk Management · Quantitative Finance 2020-09-08 Bony Josaphat , Khreshna Syuhada

Despite impressive state-of-the-art performance on a wide variety of machine learning tasks, deep learning methods can produce over-confident predictions, particularly with limited training data. Therefore, quantifying uncertainty is…

Machine Learning · Computer Science 2022-04-27 Haleh Akrami , Anand Joshi , Sergul Aydore , Richard Leahy

Artificial Intelligence brings innovations into the society. However, bias and unethical exist in many algorithms that make the applications less trustworthy. Threats hunting algorithms based on machine learning have shown great advantage…

Cryptography and Security · Computer Science 2025-06-25 Shuangbao Paul Wang , Paul Mullin

Quantile regression (QR) is a powerful tool for estimating one or more conditional quantiles of a target variable $\mathrm{Y}$ given explanatory features $\boldsymbol{\mathrm{X}}$. A limitation of QR is that it is only defined for scalar…

Computation · Statistics 2023-06-05 Aviv A. Rosenberg , Sanketh Vedula , Yaniv Romano , Alex M. Bronstein

Estimation of the value-at-risk (VaR) of a large portfolio of assets is an important task for financial institutions. As the joint log-returns of asset prices can often be projected to a latent space of a much smaller dimension, the use of…

Machine Learning · Computer Science 2021-12-06 Robert Sicks , Stefanie Grimm , Ralf Korn , Ivo Richert

We propose a new approach, termed Realized Risk Measures (RRM), to estimate Value-at-Risk (VaR) and Expected Shortfall (ES) using high-frequency financial data. It extends the Realized Quantile (RQ) approach proposed by Dimitriadis and…

Risk Management · Quantitative Finance 2025-10-21 Federico Gatta , Fabrizio Lillo , Piero Mazzarisi

A novel dynamical model for the study of operational risk in banks and suitable for the calculation of the Value at Risk (VaR) is proposed. The equation of motion takes into account the interactions among different bank's processes, the…

Risk Management · Quantitative Finance 2012-02-14 Marco Bardoscia , Roberto Bellotti

In this paper, a new way to integrate volatility information for estimating value at risk (VaR) and conditional value at risk (CVaR) of a portfolio is suggested. The new method is developed from the perspective of Bayesian statistics and it…

Risk Management · Quantitative Finance 2022-05-04 Taras Bodnar , Vilhelm Niklasson , Erik Thorsén

Causality graphs are routinely estimated in social sciences, natural sciences, and engineering due to their capacity to efficiently represent the spatiotemporal structure of multivariate data sets in a format amenable for human…

Signal Processing · Electrical Eng. & Systems 2020-11-16 Bakht Zaman , Luis Miguel Lopez Ramos , Daniel Romero , Baltasar Beferull-Lozano

This paper proposes a novel conditional heteroscedastic time series model by applying the framework of quantile regression processes to the ARCH(\infty) form of the GARCH model. This model can provide varying structures for conditional…

Methodology · Statistics 2023-11-14 Qianqian Zhu , Songhua Tan , Yao Zheng , Guodong Li

In many sequential decision-making problems we may want to manage risk by minimizing some measure of variability in costs in addition to minimizing a standard criterion. Conditional value-at-risk (CVaR) is a relatively new risk measure that…

Artificial Intelligence · Computer Science 2014-07-14 Yinlam Chow , Mohammad Ghavamzadeh

Predicting future values at risk (fVaR) is an important problem in finance. They arise in the modelling of future initial margin requirements for counterparty credit risk and future market risk VaR. One is also interested in derived…

Computational Finance · Quantitative Finance 2021-04-27 Narayan Ganesan , Bernhard Hientzsch

Under the framework of dynamic conditional score, we propose a parametric forecasting model for Value-at-Risk based on the normal inverse Gaussian distribution (Hereinafter NIG-DCS-VaR), which creatively incorporates intraday information…

Risk Management · Quantitative Finance 2021-10-07 Shijia Song , Handong Li

Value-at-Risk (VaR) and Conditional Value-at-Risk (CVaR) are two risk measures which are widely used in the practice of risk management. This paper deals with the problem of computing both VaR and CVaR using stochastic approximation (with…

Computational Finance · Quantitative Finance 2010-12-06 Olivier Aj Bardou , Noufel Frikha , G. Pagès

Modeling cyber risks has been an important but challenging task in the domain of cyber security. It is mainly because of the high dimensionality and heavy tails of risk patterns. Those obstacles have hindered the development of statistical…

Applications · Statistics 2021-03-16 Mingyue Zhang Wu , Jinzhu Luo , Xing Fang , Maochao Xu , Peng Zhao