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Non-functional requirements (NFRs) are commonly distinguished from functional requirements by differentiating how the system shall do something in contrast to what the system shall do. This distinction is not only prevalent in research, but…

Software Engineering · Computer Science 2016-11-29 J. Eckhardt , A. Vogelsang , D. Méndez Fernández

Model checkers use automated state exploration in order to prove various properties such as reachability, non-reachability, and bisimulation over state transition systems. While model checkers have proved valuable for locating errors in…

Logic in Computer Science · Computer Science 2015-08-03 Quentin Heath , Dale Miller

In this paper, we derive a framework to understand the effect of imperfections on the phasematching spectrum of a wide class of nonlinear systems. We show that this framework is applicable to many physical systems, such as waveguides or…

Optics · Physics 2019-11-05 Matteo Santandrea , Michael Stefszky , Christine Silberhorn

This paper aims to question the suitability of the Turing Test, for testing machine intelligence, in the light of advances made in the last 60 years in science, medicine, and philosophy of mind. While the main concept of the test may seem…

Artificial Intelligence · Computer Science 2019-06-27 Aladdin Ayesh

Dependability is an umbrella concept that subsumes many key properties about a system, including reliability, maintainability, safety, availability, confidentiality, and integrity. Various dependability modeling techniques have been…

Software Engineering · Computer Science 2016-06-23 Waqar Ahmed , Osman Hasan , Sofiene Tahar

The problem of testing for the parametric form of the conditional variance is considered in a fully nonparametric regression model. A test statistic based on a weighted $L_2$-distance between the empirical characteristic functions of…

Methodology · Statistics 2018-07-24 Juan Carlos Pardo-Fernandez , M. Dolores Jimenez-Gamero

With widespread adoption of AI models for important decision making, ensuring reliability of such models remains an important challenge. In this paper, we present an end-to-end generic framework for testing AI Models which performs…

Machine Learning · Computer Science 2021-02-12 Aniya Aggarwal , Samiulla Shaikh , Sandeep Hans , Swastik Haldar , Rema Ananthanarayanan , Diptikalyan Saha

A method for testing nonlinearity in time series is described based on information-theoretic functionals -- redundancies, linear and nonlinear forms of which allow either qualitative, or, after incorporating the surrogate data technique,…

comp-gas · Physics 2015-06-24 Milan PALUS

This paper shows that the problem of testing hypotheses in moment condition models without any assumptions about identification may be considered as a problem of testing with an infinite-dimensional nuisance parameter. We introduce a…

Statistics Theory · Mathematics 2014-09-24 Isaiah Andrews , Anna Mikusheva

Roughly speaking, functional analysis is the study of vector spaces of arbitrary dimension over the field of real or complex numbers, and the continuous linear mappings between such spaces. Naturally, the notion of continuity requires a…

Functional Analysis · Mathematics 2025-10-09 Christoph Bock

Explainability features are intended to provide insight into the internal mechanisms of an AI device, but there is a lack of evaluation techniques for assessing the quality of provided explanations. We propose a framework to assess and…

Artificial Intelligence · Computer Science 2025-06-18 Miguel A. Lago , Ghada Zamzmi , Brandon Eich , Jana G. Delfino

We outline an approach that streamlines considerably the construction and analysis of well-behaved nonlinear quantum dynamics, with completely positive extensions to entangled systems. A few notes are added on the issue of quantum…

Quantum Physics · Physics 2007-05-23 S. Gheorghiu-Svirschevski

This paper presents a method for investigating, through an automatic procedure, the (lack of) identifiability of parametrized dynamical models. This method takes into account constraints on parameters and returns parameters whose…

Dynamical Systems · Mathematics 2016-10-11 Nathalie Verdière , Sébastien Orange

The functional interpretation is a systematic, syntactic method for transforming certain non-constructive proofs into constructive proofs with explicit bounds. We illustrate the interpretation by working through a concrete, fairly simple…

Logic · Mathematics 2015-03-20 Henry Towsner

This paper outlines a general formal framework for reasoning systems, intended to support future analysis of inference architectures across domains. We model reasoning systems as structured tuples comprising phenomena, explanation space,…

Artificial Intelligence · Computer Science 2025-08-05 Saleh Nikooroo , Thomas Engel

We consider a quadratic functional regression model in which a scalar response depends on a functional predictor; the common functional linear model is a special case. We wish to test the significance of the nonlinear term in the model. We…

Statistics Theory · Mathematics 2013-12-17 Lajos Horváth , Ron Reeder

An interpretable model or method has several appealing features, such as reliability to adversarial examples, transparency of decision-making, and communication facilitator. However, interpretability is a subjective concept, and even its…

Methodology · Statistics 2025-02-25 Tianyu Zhan , Jian Kang

Programs that process data that reside in files are widely used in varied domains, such as banking, healthcare, and web-traffic analysis. Precise static analysis of these programs in the context of software verification and transformation…

Programming Languages · Computer Science 2015-04-06 Raveendra Kumar Medicherla , Raghavan Komondoor , S. Narendran

We define an analytic version of the graph property testing problem, which can be formulated as studying an unknown 2-variable symmetric function through sampling from its domain and studying the random graph obtained when using the…

Combinatorics · Mathematics 2008-03-11 Laszlo Lovasz , Balazs Szegedy

We introduce a new framework for constructing tests of general semiparametric hypotheses which have nontrivial power on the $n^{-1/2}$ scale in every direction, and can be tailored to put substantial power on alternatives of importance. The…

Statistics Theory · Mathematics 2007-06-13 Peter J. Bickel , Ya'acov Ritov , Thomas M. Stoker