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We present an easily implemented, fast, and accurate method for approximating extreme quantiles of compound loss distributions (frequency+severity) as are commonly used in insurance and operational risk capital models. The Interpolated…

Risk Management · Quantitative Finance 2017-07-20 J. D. Opdyke

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

Probabilistic security assessment and real-time dynamic security assessments (DSA) are promising to better handle the risks of system operations. The current methodologies of security assessments may require many time-domain simulations for…

Systems and Control · Electrical Eng. & Systems 2023-01-06 Jochen L. Cremer , Goran Strbac

We propose a robust risk measurement approach that minimizes the expectation of overestimation plus underestimation costs. We consider uncertainty by taking the supremum over a collection of probability measures, relating our approach to…

Risk Management · Quantitative Finance 2020-10-27 Marcelo Brutti Righi , Fernanda Maria Müller , Marlon Ruoso Moresco

Measuring risk is at the center of modern financial risk management. As the world economy is becoming more complex and standard modeling assumptions are violated, the advanced artificial intelligence solutions may provide the right tools to…

Machine Learning · Computer Science 2020-11-16 Hamidreza Arian , Mehrdad Moghimi , Ehsan Tabatabaei , Shiva Zamani

This paper studies the problem of optimal investment with CRRA (constant, relative risk aversion) preferences, subject to dynamic risk constraints on trading strategies. The market model considered is continuous in time and incomplete. the…

Portfolio Management · Quantitative Finance 2012-03-19 Santiago Moreno-Bromberg , Traian Pirvu , Anthony Réveillac

Robo-advisors (RAs) are automated portfolio management systems that complement traditional financial advisors by offering lower fees and smaller initial investment requirements. While most existing RAs rely on static, one-period allocation…

Portfolio Management · Quantitative Finance 2026-01-15 Tomasz R. Bielecki , Igor Cialenco

Risk-limiting audits (RLAs) can provide routine, affirmative evidence that reported election outcomes are correct by checking a random sample of cast ballots. An efficient RLA requires checking relatively few ballots. Here we construct…

Applications · Statistics 2024-10-16 Jacob Spertus

In finance, sequential decision problems are often faced, for which reinforcement learning (RL) emerges as a promising tool for optimisation without the need of analytical tractability. However, the objective of classical RL is the expected…

Computational Finance · Quantitative Finance 2026-02-13 Federico Cacciamani , Roberto Daluiso , Marco Pinciroli , Michele Trapletti , Edoardo Vittori

The aim of this paper is to investigate risk-averse and distributionally robust modeling of Stochastic Optimal Control (SOC) and Markov Decision Process (MDP). We discuss construction of conditional nested risk functionals, a particular…

Optimization and Control · Mathematics 2025-05-23 Alexander Shapiro , Yan Li

In this paper we develop a novel methodology for estimation of risk capital allocation. The methodology is rooted in the theory of risk measures. We work within a general, but tractable class of law-invariant coherent risk measures, with a…

Risk Management · Quantitative Finance 2019-11-25 Tomasz R. Bielecki , Igor Cialenco , Marcin Pitera , Thorsten Schmidt

Clinical risk prediction models are regularly updated as new data, often with additional covariates, become available. We propose CARE (Convex Aggregation of relative Risk Estimators) as a general approach for combining existing "external"…

The aim of this paper is to introduce a method for computing the allocated Solvency II Capital Requirement (SCR) of each Risk which the company is exposed to, taking in account for the diversification effect among different risks. The…

Risk Management · Quantitative Finance 2015-11-11 Ivan Granito , Paolo De Angelis

This paper considers distributed M-estimation under heterogeneous distributions among distributed data blocks. A weighted distributed estimator is proposed to improve the efficiency of the standard "Split-And-Conquer" (SaC) estimator for…

Statistics Theory · Mathematics 2022-09-15 Jia Gu , Songxi Chen

We consider a mixed analog-to-digital converter (ADC) based architecture consisting of high-precision and one-bit ADCs with the antenna-varying threshold for direction of arrival (DOA) estimation using a uniform linear array (ULA), which…

Signal Processing · Electrical Eng. & Systems 2024-03-15 Xinnan Zhang , Yuanbo Cheng , Xiaolei Shang , Jun Liu

The use of Reinforcement Learning (RL) agents in practical applications requires the consideration of suboptimal outcomes, depending on the familiarity of the agent with its environment. This is especially important in safety-critical…

Machine Learning · Computer Science 2021-12-07 Frederik Schubert , Theresa Eimer , Bodo Rosenhahn , Marius Lindauer

Risk forecasts drive trading constraints and capital allocation, yet losses are nonstationary and regime-dependent. This paper studies sequential one-sided VaR control via conformal calibration. I propose regime-weighted conformal risk…

Risk Management · Quantitative Finance 2026-02-05 Marc Schmitt

Time series forecasting is an important task that involves analyzing temporal dependencies and underlying patterns (such as trends, cyclicality, and seasonality) in historical data to predict future values or trends. Current deep…

Machine Learning · Computer Science 2025-12-01 Jieting Wang , Huimei Shi , Feijiang Li , Xiaolei Shang

This paper investigates the regret associated with the Distributionally Robust Control (DRC) strategies used to address multistage optimization problems where the involved probability distributions are not known exactly, but rather are…

Optimization and Control · Mathematics 2022-12-02 Venkatraman Renganathan , Dongjun Wu

Digital acquisition of bio-signals has been mostly dominated by uniform time sampling following the Nyquist theorem. However, in recent years, new approaches have emerged, focused on sampling a signal only when certain events happen.…

Signal Processing · Electrical Eng. & Systems 2025-01-22 Silvio Zanoli , Giovanni Ansaloni , Tomás Teijeiro , David Atiena