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In this paper we criticize the robustness measure traditionally employed to assess the performance of machine learning models deployed in adversarial settings. To mitigate the limitations of robustness, we introduce a new measure called…

机器学习 · 计算机科学 2021-12-07 Stefano Calzavara , Lorenzo Cazzaro , Claudio Lucchese , Federico Marcuzzi , Salvatore Orlando

Adversarially robust learning aims to design algorithms that are robust to small adversarial perturbations on input variables. Beyond the existing studies on the predictive performance to adversarial samples, our goal is to understand…

机器学习 · 统计学 2020-12-21 Yue Xing , Ruizhi Zhang , Guang Cheng

Model uncertainty has been one prominent issue both in the theory of risk measures and in practice such as financial risk management and regulation. Motivated by this observation, in this paper, we take a new perspective to describe the…

理论经济学 · 经济学 2025-04-14 Shuo Gong , Yijun Hu , Linxiao Wei

Financial institutions have to allocate so-called "economic capital" in order to guarantee solvency to their clients and counter parties. Mathematically speaking, any methodology of allocating capital is a "risk measure", i.e. a function…

凝聚态物理 · 物理学 2011-08-09 Dirk Tasche

Portfolio diversification, traditionally measured through asset correlations and volatilitybased metrics, is fundamental to managing financial risk. However, existing diversification metrics often overlook non-numerical relationships…

投资组合管理 · 定量金融 2024-11-12 Sayyed Faraz Mohseni , Hamid R. Arian , Jean-François Bégin

We consider economic obstacles that limit the reliability and accuracy of value-at-risk (VaR). Investors who manage large market transactions should take into account the impact of the randomness of large trade volumes on predictions of…

综合经济学 · 经济学 2024-04-30 Victor Olkhov

Estimation of structure, such as in variable selection, graphical modelling or cluster analysis is notoriously difficult, especially for high-dimensional data. We introduce stability selection. It is based on subsampling in combination with…

统计方法学 · 统计学 2009-05-16 Nicolai Meinshausen , Peter Buehlmann

We incorporate the conditional value-at-risk (CVaR) quantity into a generalized class of Pickands estimators. By introducing CVaR, the newly developed estimators not only retain the desirable properties of consistency, location, and scale…

统计理论 · 数学 2024-09-25 Yizhou Li , Pawel Polak

In this paper we extend temporal difference policy evaluation algorithms to performance criteria that include the variance of the cumulative reward. Such criteria are useful for risk management, and are important in domains such as finance…

机器学习 · 计算机科学 2013-10-15 Aviv Tamar , Dotan Di Castro , Shie Mannor

In this paper, we propose a novel association measure for longitudinal studies based on the traditional definition of relative risk. In a Markovian fashion, such a proposal takes into account the information content regarding the previous…

统计方法学 · 统计学 2023-02-27 Lina Buitrago , Juan Sosa , Oscar Melo

In general, underestimation of risk is something which should be avoided as far as possible. Especially in financial asset management, equity risk is typically characterized by the measure of portfolio variance, or indirectly by quantities…

统计金融 · 定量金融 2017-07-31 Thomas Schürmann , Ingo Hoffmann

Based on existing ideas in the field of imprecise probabilities, we present a new approach for assessing the reliability of the individual predictions of a generative probabilistic classifier. We call this approach robustness…

机器学习 · 计算机科学 2025-04-11 Adrián Detavernier , Jasper De Bock

Starting from the requirement that risk measures of financial portfolios should be based on their losses, not their gains, we define the notion of loss-based risk measure and study the properties of this class of risk measures. We…

风险管理 · 定量金融 2014-03-26 Rama Cont , Romain Deguest , Xuedong He

Extreme Value Theory (EVT) is one of the most commonly used approaches in finance for measuring the downside risk of investment portfolios, especially during financial crises. In this paper, we propose a novel approach based on EVT called…

综合经济学 · 经济学 2020-11-16 Hamidreza Arian , Hossein Poorvasei , Azin Sharifi , Shiva Zamani

In natural phenomena, data distributions often deviate from normality. One can think of cataclysms as a self-explanatory example: events that occur almost never, and at the same time are many standard deviations away from the common…

机器学习 · 计算机科学 2022-12-16 Nuno Costa , Nuno Moniz

Many systems contain latent variables that make their dynamics partially unidentifiable or cause distribution shifts in the observed statistics between offline and online data. However, existing control techniques often assume access to…

系统与控制 · 电气工程与系统科学 2025-06-24 Haoming Jing , Yorie Nakahira

Runtime monitoring is commonly used to detect the violation of desired properties in safety critical cyber-physical systems by observing its executions. Bauer et al. introduced an influential framework for monitoring Linear Temporal Logic…

形式语言与自动机理论 · 计算机科学 2022-09-13 Corto Mascle , Daniel Neider , Maximilian Schwenger , Paulo Tabuada , Alexander Weinert , Martin Zimmermann

This paper introduces a likelihood ratio (LR)-type test that possesses the robustness properties of \(C(\alpha)\)-type procedures in an extremum estimation setting. The test statistic is constructed by applying separate adjustments to the…

计量经济学 · 经济学 2025-10-21 Jean-Marie Dufour , Purevdorj Tuvaandorj

Systemic risk measures such as CoVaR, CoES and MES are widely-used in finance, macroeconomics and by regulatory bodies. Despite their importance, we show that they fail to be elicitable and identifiable. This renders forecast comparison and…

风险管理 · 定量金融 2023-05-19 Tobias Fissler , Yannick Hoga

This paper proposes a new robust smooth-threshold estimating equation to select important variables and automatically estimate parameters for high dimensional longitudinal data. A novel working correlation matrix is proposed to capture…

统计方法学 · 统计学 2021-11-30 Liya Fu , Jiaqi Li , You-Gan Wang