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The problem of detecting changes in covariance for a single pair of features has been studied in some detail, but may be limited in importance or general applicability. In contrast, testing equality of covariance matrices of a {\it set} of…

Methodology · Statistics 2017-12-12 Yi-Hui Zhou

Property-based testing (PBT) is a technique for validating code against an executable specification by automatically generating test-data. We present a proof-theoretical reconstruction of this style of testing for relational specifications…

Logic in Computer Science · Computer Science 2025-01-22 Dale Miller , Alberto Momigliano

We consider graph property testing in $p$-degenerate graphs under the random neighbor oracle model (Czumaj and Sohler, FOCS 2019). In this framework, a tester explores a graph by sampling uniform neighbors of vertices, and a property is…

Data Structures and Algorithms · Computer Science 2026-04-07 Oded Lachish , Amit Levi , Ilan Newman , Felix Reidl

We describe two procedures which, given access to one copy of a quantum state and a sequence of two-outcome measurements, can distinguish between the case that at least one of the measurements accepts the state with high probability, and…

Quantum Physics · Physics 2017-04-18 Aram W. Harrow , Cedric Yen-Yu Lin , Ashley Montanaro

The relative-error property testing model was introduced in [CDHLNSY24] to facilitate the study of property testing for "sparse" Boolean-valued functions, i.e. ones for which only a small fraction of all input assignments satisfy the…

Data Structures and Algorithms · Computer Science 2026-04-03 Xi Chen , Anindya De , Yizhi Huang , Shivam Nadimpalli , Rocco A. Servedio , Tianqi Yang

We introduce a new type of test for complete spatial randomness that applies to mapped point patterns in a rectangle or a cube of any dimension. This is the first test of its kind to be based on characteristic functions and utilizes a…

Methodology · Statistics 2025-09-23 Yiran Zeng , Dale L. Zimmerman

It has been observed that linearizability, the prevalent consistency condition for implementing concurrent objects, does not preserve some probability distributions. A stronger condition, called strong linearizability has been proposed, but…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-05-30 Hagit Attiya , Constantin Enea

We study property testing in the \emph{random neighbor oracle} model for graphs, originally introduced by Czumaj and Sohler [STOC 2019]. Specifically, we initiate the study of characterizing the graph families that are $H$-\emph{testable}…

Data Structures and Algorithms · Computer Science 2025-11-25 Christine Awofeso , Patrick Greaves , Oded Lachish , Amit Levi , Felix Reidl

The usual step-down and step-up multiple testing procedures most often lack an important intuitive, practical, and theoretical property called the interval property. In short, the interval property is simply that for an individual…

Methodology · Statistics 2012-07-25 Arthur Cohen , Harold Sackrowitz

We propose an empirical likelihood test that is able to test the goodness of fit of a class of parametric and semi-parametric multiresponse regression models. The class includes as special cases fully parametric models; semi-parametric…

Statistics Theory · Mathematics 2010-01-12 Song Xi Chen , Ingrid Van Keilegom

We propose a computationally straightforward test for the linearity of a spatial interaction function. Such functions arise commonly, either as practitioner imposed specifications or due to optimizing behaviour by agents. Our conditional…

Econometrics · Economics 2025-04-30 Abhimanyu Gupta , Jungyoon Lee , Francesca Rossi

Given a non-negative $n \times n$ matrix viewed as a set of distances between $n$ points, we consider the property testing problem of deciding if it is a metric. We also consider the same problem for two special classes of metrics, tree…

Discrete Mathematics · Computer Science 2024-11-15 Yiqiao Bao , Sampath Kannan , Erik Waingarten

One of the most fundamental questions in graph property testing is to characterize the combinatorial structure of properties that are testable with a constant number of queries. We work towards an answer to this question for the…

Data Structures and Algorithms · Computer Science 2018-11-08 Hendrik Fichtenberger , Pan Peng , Christian Sohler

We initiate the study of quantum property testing in sparse directed graphs, and more particularly in the unidirectional model, where the algorithm is allowed to query only the outgoing edges of a vertex. In the classical unidirectional…

Quantum Physics · Physics 2025-11-27 Simon Apers , Frédéric Magniez , Sayantan Sen , Dániel Szabó

This paper explores the information-theoretic limitations of graph property testing in zero-field Ising models. Instead of learning the entire graph structure, sometimes testing a basic graph property such as connectivity, cycle presence or…

Statistics Theory · Mathematics 2018-07-31 Matey Neykov , Han Liu

The purpose of this article is to delve into the properties of invariants. The properties, explained in [2], reveal new ways to develop algorithms that allow us to test the primality of a number. In this article, some of these are shown,…

Number Theory · Mathematics 2023-08-02 Juan Hernandez-Toro

The graph and hypergraph container methods are powerful tools with a wide range of applications across combinatorics. Recently, Blais and Seth (FOCS 2023) showed that the graph container method is particularly well-suited for the analysis…

Data Structures and Algorithms · Computer Science 2024-03-28 Eric Blais , Cameron Seth

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

For an integer linear optimization (ILO) problem, persistency of its linear optimization (LO) relaxation is a property that for every optimal solution of the relaxation that assigns integer values to some variables, there exists an optimal…

Optimization and Control · Mathematics 2022-03-10 Kei Kimura , Kotaro Nakayama

Linearizability is a well-established consistency and correctness criterion for concurrent data types. An important feature of linearizability is Herlihy and Wing's locality principle, which says that a concurrent system is linearizable if…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-04-02 Alex Horn , Daniel Kroening
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