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Statistical inferential results generally come with a measure of reliability for decision-making purposes. For a policy implementer, the value of implementing published policy research depends critically upon this reliability. For a policy…

Other Statistics · Statistics 2024-08-21 Duncan Ermini Leaf

We consider the problem of governing systemic risk in a banking system model. The banking system model consists in an initial value problem for a system of stochastic differential equations whose dependent variables are the log-monetary…

Risk Management · Quantitative Finance 2018-12-19 Lorella Fatone , Francesca Mariani

The purpose of this paper is to describe and extend the use of the newly-introduced measure, residual estimation risk. Following the seminal work of Bignozzi and Tsanakas, the quantification of residual estimation risk is proposed in a…

Risk Management · Quantitative Finance 2026-03-19 D. J. Manuge

Forecast probabilities often serve as critical inputs for binary decision making. In such settings, calibration$\unicode{x2014}$ensuring forecasted probabilities match empirical frequencies$\unicode{x2014}$is essential. Although the common…

Methodology · Statistics 2025-08-06 Raphael Rossellini , Jake A. Soloff , Rina Foygel Barber , Zhimei Ren , Rebecca Willett

We study stochastic systems characterized by difference inclusions. Such stochastic differential inclusions are defined by set-valued maps involving the current state and stochastic input. For such systems, we investigate the problem of…

Optimization and Control · Mathematics 2025-08-29 Masoumeh Ghanbarpour , Sriram Sankaranarayanan

Optimal data detection in massive multiple-input multiple-output (MIMO) systems often requires prohibitively high computational complexity. A variety of detection algorithms have been proposed in the literature, offering different…

Econometrics · Economics 2025-07-02 Yong Li , Sushanta K. Mallick , Tao Zeng , Junxing Zhang

Identifiability of a mathematical model plays a crucial role in parameterization of the model. In this study, we establish the structural identifiability of a Susceptible-Exposed-Infected-Recovered (SEIR) model given different combinations…

Autonomous and semi-autonomous systems are using deep learning models to improve decision-making. However, deep classifiers can be overly confident in their incorrect predictions, a major issue especially in safety-critical domains. The…

Machine Learning · Computer Science 2024-12-05 Murat Sensoy , Lance M. Kaplan , Simon Julier , Maryam Saleki , Federico Cerutti

Prediction sets provide a means of quantifying the uncertainty in predictive tasks. Using held out calibration data, conformal prediction and risk control can produce prediction sets that exhibit statistically valid error control in a…

Machine Learning · Statistics 2026-02-05 Bror Hultberg , Dave Zachariah , Antônio H. Ribeiro

Research capacity is critical in understanding systemic risk and informing new regulation. Banking regulation has not kept pace with all the complexities of financial innovation. The academic literature on systemic risk is rapidly…

Computational Engineering, Finance, and Science · Computer Science 2013-10-25 Antoaneta Sergueiva

We propose identification robust statistics for testing hypotheses on the risk premia in dynamic affine term structure models. We do so using the moment equation specification proposed for these models in Adrian et al. (2013). We extend the…

Econometrics · Economics 2023-07-25 Frank Kleibergen , Lingwei Kong

A risk analyst assesses potential financial losses based on multiple sources of information. Often, the assessment does not only depend on the specification of the loss random variable but also various economic scenarios. Motivated by this…

Risk Management · Quantitative Finance 2023-10-02 Tolulope Fadina , Yang Liu , Ruodu Wang

Despite possessing impressive skills, Large Language Models (LLMs) often fail unpredictably, demonstrating inconsistent success in even basic common sense reasoning tasks. This unpredictability poses a significant challenge to ensuring…

Reliable, risk-averse design of complex engineering systems with optimized performance requires dealing with uncertainties. A conventional approach is to add safety margins to a design that was obtained from deterministic optimization.…

Optimization and Control · Mathematics 2024-06-18 Anirban Chaudhuri , Boris Kramer , Matthew Norton , Johannes O. Royset , Karen Willcox

We propose a general approach for supervised learning with structured output spaces, such as combinatorial and polyhedral sets, that is based on minimizing estimated conditional risk functions. Given a loss function defined over pairs of…

Machine Learning · Statistics 2017-02-28 Chong Yang Goh , Patrick Jaillet

We propose a new procedure for the risk measurement of large portfolios. It employs the following objects as the building blocks: - coherent risk measures introduced by Artzner, Delbaen, Eber, and Heath; - factor risk measures introduced in…

Probability · Mathematics 2008-12-02 Alexander S. Cherny , Dilip B. Madan

Expressive evaluation metrics are indispensable for informative experiments in all areas, and while several metrics are established in some areas, in others, such as feature selection, only indirect or otherwise limited evaluation metrics…

Machine Learning · Computer Science 2025-01-17 Muhammad Rajabinasab , Anton D. Lautrup , Tobias Hyrup , Arthur Zimek

This paper explores the calibration of a classifier output score in binary classification problems. A calibrator is a function that maps the arbitrary classifier score, of a testing observation, onto $[0,1]$ to provide an estimate for the…

Machine Learning · Computer Science 2022-04-29 Waleed A. Yousef , Issa Traore , William Briguglio

Failures with different root causes can disturb multi-fault localization significantly, therefore, dividing failures into distinct groups according to the responsible faults is highly important. In such a failure indexing task, the crux…

Software Engineering · Computer Science 2023-02-03 Yi Song , Xihao Zhang , Xiaoyuan Xie , Quanming Liu , Ruizhi Gao , Chenliang Xing

Forecasting and forecast evaluation are inherently sequential tasks. Predictions are often issued on a regular basis, such as every hour, day, or month, and their quality is monitored continuously. However, the classical statistical tools…

Methodology · Statistics 2022-07-04 Sebastian Arnold , Alexander Henzi , Johanna F. Ziegel