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This paper presents a novel approach for augmenting proof-based verification with performance-style analysis of the kind employed in state-of-the-art model checking tools for probabilistic systems. Quantitative safety properties usually…

Logic in Computer Science · Computer Science 2009-12-11 Ukachukwu Ndukwu

The theory of acceptance sets and their associated risk measures plays a key role in the design of capital adequacy tests. The objective of this paper is to investigate, in the context of bounded financial positions, the class of…

Risk Management · Quantitative Finance 2014-02-05 Pablo Koch-Medina , Santiago Moreno-Bromberg , Cosimo Munari

Ratings are frequently used to evaluate and compare subjects in various applications, from education to healthcare, because ratings provide succinct yet credible measures for comparing subjects. However, when multiple rating lists are…

Machine Learning · Statistics 2023-12-05 Young Woong Park , Jinhak Kim , Dan Zhu

Context: Software testability is the degree to which a software system or a unit under test supports its own testing. To predict and improve software testability, a large number of techniques and metrics have been proposed by both…

Software Engineering · Computer Science 2018-12-07 Vahid Garousi , Michael Felderer , Feyza Nur Kilicaslan

The forecasting of credit default risk has been an active research field for several decades. Historically, logistic regression has been used as a major tool due to its compliance with regulatory requirements: transparency, explainability,…

Machine Learning · Computer Science 2022-09-22 Dangxing Chen , Weicheng Ye

The existence of asymmetric information has always been a major concern for financial institutions. Financial intermediaries such as commercial banks need to study the quality of potential borrowers in order to make their decision on…

Statistical Finance · Quantitative Finance 2017-07-05 Jinglun Yao , Maxime Levy-Chapira , Mamikon Margaryan

Many important tasks of large-scale recommender systems can be naturally cast as testing multiple linear forms for noisy matrix completion. These problems, however, present unique challenges because of the subtle bias-and-variance tradeoff…

Methodology · Statistics 2025-03-12 Wanteng Ma , Lilun Du , Dong Xia , Ming Yuan

A long noted difficulty when assessing the reliability (or calibration) of forecasting systems is that reliability, in general, is a hypothesis not about a finite dimensional parameter but about an entire functional relationship. A…

Data Analysis, Statistics and Probability · Physics 2020-12-09 Jochen Bröcker

The analysis of formal models that include quantitative aspects such as timing or probabilistic choices is performed by quantitative verification tools. Broad and mature tool support is available for computing basic properties such as…

The increasing use of autonomous and semi-autonomous agents in society has made it crucial to validate their safety. However, the complex scenarios in which they are used may make formal verification impossible. To address this challenge,…

Systems and Control · Electrical Eng. & Systems 2023-03-03 Jared J. Beard , Ali Baheri

This paper characterizes the probability of a market failure defined as the default of two or more globally systemically important banks (G-SIBs) in a small interval of time. The default probabilities of the G-SIBs are correlated through…

Mathematical Finance · Quantitative Finance 2022-12-27 Robert Jarrow , Philip Protter , Alejandra Quintos

A variety of different performance metrics are commonly used in the machine learning literature for the evaluation of classification systems. Some of the most common ones for measuring quality of hard decisions are standard and balanced…

Machine Learning · Computer Science 2023-09-22 Luciana Ferrer

Today, machine learning (ML) models are increasingly applied in decision making. This induces an urgent need for quality assurance of ML models with respect to (often domain-dependent) requirements. Monotonicity is one such requirement. It…

Machine Learning · Computer Science 2020-02-28 Arnab Sharma , Heike Wehrheim

How can we monitor, in real time, whether one uncertain prospect has any upside over another? To answer this question, we develop a novel family of sequential, anytime-valid tests for stochastic dominance (SD; also known as stochastic…

Methodology · Statistics 2026-04-24 Sebastian Arnold , Yo Joong Choe , Marco Scarsini , Ilia Tsetlin

We analyze safety problems of complex systems using the methods of mathematical statistics for testing the output variables of a code simulating the operation of the system under consideration when the input variables are uncertain. We have…

Data Analysis, Statistics and Probability · Physics 2007-05-23 L. Pal , M. Makai

Recent changes in standards and regulations, driven by the increasing importance of software systems in meeting societal needs, mandate increased security testing of software systems. Penetration testing has been shown to be a reliable…

Cryptography and Security · Computer Science 2024-12-18 Charilaos Skandylas , Mikael Asplund

This study conducts a benchmarking study, comparing 23 different statistical and machine learning methods in a credit scoring application. In order to do so, the models' performance is evaluated over four different data sets in combination…

Econometrics · Economics 2019-07-31 Anna Stelzer

Validation is often defined as the process of determining the degree to which a model is an accurate representation of the real world from the perspective of its intended uses. Validation is crucial as industries and governments depend…

Data Analysis, Statistics and Probability · Physics 2015-06-26 D. Sornette , A. B. Davis , K. Ide , K. R. Vixie , V. Pisarenko , J. R. Kamm

Statistical model checking estimates probabilities and expectations of interest in probabilistic system models by using random simulations. Its results come with statistical guarantees. However, many tools use unsound statistical methods…

Logic in Computer Science · Computer Science 2025-09-15 Carlos E. Budde , Arnd Hartmanns , Tobias Meggendorfer , Maximilian Weininger , Patrick Wienhöft

Validation is often defined as the process of determining the degree to which a model is an accurate representation of the real world from the perspective of its intended uses. Validation is crucial as industries and governments depend…

Computational Physics · Physics 2016-09-08 Didier Sornette , Anthony B. Davis , James R. Kamm , Kayo Ide