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Identifying safe areas is a key point to guarantee trust for systems that are based on Deep Neural Networks (DNNs). To this end, we introduce the AllDNN-Verification problem: given a safety property and a DNN, enumerate the set of all the…

Machine Learning · Computer Science 2024-02-21 Luca Marzari , Davide Corsi , Enrico Marchesini , Alessandro Farinelli , Ferdinando Cicalese

In the property testing model, the task is to distinguish objects possessing some property from the objects that are far from it. One of such properties is monotonicity, when the objects are functions from one poset to another. This is an…

Computational Complexity · Computer Science 2018-05-11 Aleksandrs Belovs

The Huge Object model of property testing [Goldreich and Ron, TheoretiCS 23] concerns properties of distributions supported on $\{0,1\}^n$, where $n$ is so large that even reading a single sampled string is unrealistic. Instead, query…

Data Structures and Algorithms · Computer Science 2024-12-04 Sourav Chakraborty , Eldar Fischer , Arijit Ghosh , Amit Levi , Gopinath Mishra , Sayantan Sen

The model of relative-error property testing of Boolean functions has been the subject of significant recent research effort [CDH+24][CPPS25a][CPPS25b] In this paper we consider the problem of relative-error testing an unknown and arbitrary…

Computational Complexity · Computer Science 2025-10-27 Xi Chen , Diptaksho Palit , Kabir Peshawaria , William Pires , Rocco A. Servedio , Yiding Zhang

Machine learning has demonstrated remarkable performance over finite datasets, yet whether the scores over the fixed benchmarks can sufficiently indicate the model's performance in the real world is still in discussion. In reality, an ideal…

Computer Vision and Pattern Recognition · Computer Science 2024-05-17 Peiyan Zhang , Haoyang Liu , Chaozhuo Li , Xing Xie , Sunghun Kim , Haohan Wang

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

Advances in reverse engineering make it challenging to deploy any on-chip information in a way that is hidden from a determined attacker. A variety of techniques have been proposed for design obfuscation including look-alike cells in which…

Cryptography and Security · Computer Science 2017-10-26 Shahrzad Keshavarz , Daniel Holcomb

For a property $P$ and a sub-property $P'$, we say that $P$ is $P'$-partially testable with $q$ queries if there exists an algorithm that distinguishes, with high probability, inputs in $P'$ from inputs $\epsilon$-far from $P$ by using $q$…

Computational Complexity · Computer Science 2013-06-07 Eldar Fischer , Yonatan Goldhirsh , Oded Lachish

In this paper, we study the following question: given a black box performing some unknown quantum measurement on a multi-qudit system, how do we test whether this measurement has certain property or is far away from having this property. We…

Quantum Physics · Physics 2012-05-07 Guoming Wang

$\alpha$Check is a light-weight property-based testing tool built on top of $\alpha$Prolog, a logic programming language based on nominal logic. $\alpha$Prolog is particularly suited to the validation of the meta-theory of formal systems,…

Logic in Computer Science · Computer Science 2016-05-02 James Cheney , Alberto Momigliano , Matteo Pessina

Properties of Boolean functions can often be tested much faster than the functions can be learned. However, this advantage usually disappears when testers are limited to random samples of a function $f$--a natural setting for data…

Quantum Physics · Physics 2026-01-28 Matthias C. Caro , Preksha Naik , Joseph Slote

We study the question of testing structured properties (classes) of discrete distributions. Specifically, given sample access to an arbitrary distribution $D$ over $[n]$ and a property $\mathcal{P}$, the goal is to distinguish between…

Data Structures and Algorithms · Computer Science 2016-01-22 Clément L. Canonne , Ilias Diakonikolas , Themis Gouleakis , Ronitt Rubinfeld

Embeddings are functions that map raw input data to low-dimensional vector representations, while preserving important semantic information about the inputs. Pre-training embeddings on a large amount of unlabeled data and fine-tuning them…

Machine Learning · Computer Science 2020-08-21 Congzheng Song , Ananth Raghunathan

We study the problem of testing whether a function f:R^n->R is linear (i.e., both additive and homogeneous) in the distribution-free property testing model, where the distance between functions is measured with respect to an unknown…

Data Structures and Algorithms · Computer Science 2019-09-10 Noah Fleming , Yuichi Yoshida

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

A hypothesis testing algorithm is replicable if, when run on two different samples from the same distribution, it produces the same output with high probability. This notion, defined by by Impagliazzo, Lei, Pitassi, and Sorell [STOC'22],…

Data Structures and Algorithms · Computer Science 2025-09-05 Anders Aamand , Maryam Aliakbarpour , Justin Y. Chen , Shyam Narayanan , Sandeep Silwal

Property-based testing validates software against an executable specification by evaluating it on randomly generated inputs. The standard way that PBT users generate test inputs is via generators that describe how to sample test inputs…

Programming Languages · Computer Science 2025-11-18 Ryan Tjoa , Poorva Garg , Harrison Goldstein , Todd Millstein , Benjamin Pierce , Guy Van den Broeck

The study of distribution testing has become ubiquitous in the area of property testing, both for its theoretical appeal, as well as for its applications in other fields of Computer Science. The original distribution testing model relies on…

Data Structures and Algorithms · Computer Science 2022-11-17 Sourav Chakraborty , Eldar Fischer , Arijit Ghosh , Gopinath Mishra , Sayantan Sen

Property testing is concerned with the design of algorithms making a sublinear number of queries to distinguish whether the input satisfies a given property or is far from having this property. A seminal paper of Alon, Krivelevich, Newman,…

Data Structures and Algorithms · Computer Science 2025-04-29 Gabriel Bathie , Nathanaël Fijalkow , Corto Mascle

Modern encryption algorithms form the foundation of digital security. However, the widespread use of encryption algorithms results in significant challenges for network defenders in identifying which specific algorithms are being employed.…

Cryptography and Security · Computer Science 2025-11-12 Xiwen Ren , Min Luo , Cong Peng , Debiao He