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Related papers: Property Testing via Set-Theoretic Operations

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Mutation testing is an established software quality assurance technique for the assessment of test suites. While it is well-suited to estimate the general fault-revealing capability of a test suite, it is not practical and informative when…

Software Engineering · Computer Science 2023-02-01 Ezio Bartocci , Leonardo Mariani , Dejan Nickovic , Drishti Yadav

A property, or statistical functional, is said to be elicitable if it minimizes expected loss for some loss function. The study of which properties are elicitable sheds light on the capabilities and limitations of point estimation and…

Machine Learning · Computer Science 2020-08-31 Rafael Frongillo , Ian A. Kash

Metamorphic testing (MT) is a general approach for the testing of a specific kind of software systems -- so-called ``non-testable'', where the ``classical'' testing approaches are difficult to apply. MT is an effective approach for…

Software Engineering · Computer Science 2022-11-23 Nasser Alzahrani , Maria Spichkova , James Harland

Let C be a finite set of $N elements and R = {R_1,R_2, ..,R_m} a family of M subsets of C. The family R verifies the consecutive ones property if there exists a permutation P of C such that each R_i in R is an interval of P. There already…

Data Structures and Algorithms · Computer Science 2010-08-24 Mathieu Raffinot

In this paper we analyze theoretical properties of bi-objective convex-quadratic problems. We give a complete description of their Pareto set and prove the convexity of their Pareto front. We show that the Pareto set is a line segment when…

Optimization and Control · Mathematics 2018-12-04 Cheikh Toure , Anne Auger , Dimo Brockhoff , Nikolaus Hansen

We revisit the problem of property testing for convex position for point sets in $\mathbb{R}^d$. Our results draw from previous ideas of Czumaj, Sohler, and Ziegler (ESA 2000). First, the algorithm is redesigned and its analysis is revised…

Computational Geometry · Computer Science 2023-05-09 Adrian Dumitrescu

We introduce a novel choice dataset, called joint choice, in which options and menus are multidimensional. In this general setting, we define a notion of choice separability, which requires that selections from some dimensions are never…

Theoretical Economics · Economics 2025-09-09 Davide Carpentiere , Alfio Giarlotta , Angelo Petralia , Ester Sudano

Popularity is an approach in mechanism design to find fair structures in a graph, based on the votes of the nodes. Popular matchings are the relaxation of stable matchings: given a graph G=(V,E) with strict preferences on the neighbors of…

Discrete Mathematics · Computer Science 2025-02-18 Erika Bérczi-Kovács , Kata Kosztolányi

Linearizability and progress properties are key correctness notions for concurrent objects. However, model checking linearizability has suffered from the PSPACE-hardness of the trace inclusion problem. This paper proposes to exploit…

Programming Languages · Computer Science 2016-10-03 Xiaoxiao Yang , Joost-Pieter Katoen , Huimin Lin , Hao Wu

Ordered, linear, and other substructural type systems allow us to expose deep properties of programs at the syntactic level of types. In this paper, we develop a family of unary logical relations that allow us to prove consequences of…

Logic in Computer Science · Computer Science 2025-03-06 C. B. Aberlé , Chris Martens , Frank Pfenning

In this paper we study the problem of deciding whether two disjoint semialgebraic sets of an algebraic variety over R are separable by a polynomial. For that we isolate a dense subfamily of Spaces of Orderings, named Geometric, which…

alg-geom · Mathematics 2008-02-03 F. Acquistapace , C. Andradas , F. Broglia

We present a novel framework closely linking the areas of property testing and data streaming algorithms in the setting of general graphs. It has been recently shown (Monemizadeh et al. 2017) that for bounded-degree graphs, any…

Data Structures and Algorithms · Computer Science 2019-05-07 Artur Czumaj , Hendrik Fichtenberger , Pan Peng , Christian Sohler

We consider statistical procedures for hypothesis testing of real valued functionals of matched pairs with missing values. In order to improve the accuracy of existing methods, we propose a novel multiplication combination procedure.…

Statistics Theory · Mathematics 2018-01-29 Lubna Amro , Frank Konietschke , Markus Pauly

Learning the topology of higher-order networks from data is a fundamental challenge in many signal processing and machine learning applications. Simplicial complexes provide a principled framework for modeling multi-way interactions, yet…

Signal Processing · Electrical Eng. & Systems 2026-02-10 Varun Sarathchandran , Geert Leus

We study the problem of testing if a function depends on a small number of linear directions of its input data. We call a function $f$ a linear $k$-junta if it is completely determined by some $k$-dimensional subspace of the input space. In…

Computational Complexity · Computer Science 2018-11-05 Anindya De , Elchanan Mossel , Joe Neeman

Answer Set Programming (ASP) is a generic problem modeling and solving framework with a strong focus on knowledge representation and a rapid growth of industrial applications. So far, the study of complexity resulted in characterizing…

Artificial Intelligence · Computer Science 2024-02-07 Markus Hecher , Rafael Kiesel

In Property Testing, proximity-oblivious testers (POTs) form a class of particularly simple testing algorithms, where a basic test is performed a number of times that may depend on the proximity parameter, but the basic test itself is…

Computational Complexity · Computer Science 2021-05-19 Isolde Adler , Noleen Köhler , Pan Peng

Scalar-on-function linear models are commonly used to regress functional predictors on a scalar response. However, functional models are more difficult to estimate and interpret than traditional linear models, and may be unnecessarily…

Methodology · Statistics 2019-06-13 Stephanie T. Chen , Luo Xiao , Ana-Maria Staicu

What advantage do \emph{sequential} procedures provide over batch algorithms for testing properties of unknown distributions? Focusing on the problem of testing whether two distributions $\mathcal{D}_1$ and $\mathcal{D}_2$ on $\{1,\dots,…

Data Structures and Algorithms · Computer Science 2022-05-13 Omar Fawzi , Nicolas Flammarion , Aurélien Garivier , Aadil Oufkir

This paper considers the problem of testing whether there exists a solution satisfying certain non-negativity constraints to a linear system of equations. Importantly and in contrast to some prior work, we allow all parameters in the system…