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Related papers: Erasure-Resilient Property Testing

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Deep Learning (DL) is increasingly used in safety-critical applications, raising concerns about its reliability. DL suffers from a well-known problem of lacking robustness, especially when faced with adversarial perturbations known as…

Software Engineering · Computer Science 2023-09-06 Wei Huang , Xingyu Zhao , Alec Banks , Victoria Cox , Xiaowei Huang

Given a function f: {0,1}^n \to {0,1}, the f-isomorphism testing problem requires a randomized algorithm to distinguish functions that are identical to f up to relabeling of the input variables from functions that are far from being so. An…

Data Structures and Algorithms · Computer Science 2011-12-30 Eric Blais , Amit Weinstein , Yuichi Yoshida

A function f : {0, 1}^n -> {0, 1} is said to be k-monotone if it flips between 0 and 1 at most k times on every ascending chain. Such functions represent a natural generalization of (1-)monotone functions, and have been recently studied in…

Computational Complexity · Computer Science 2018-06-05 Elena Grigorescu , Akash Kumar , Karl Wimmer

A natural problem in high-dimensional inference is to decide if a classifier $f:\mathbb{R}^n \rightarrow \{-1,1\}$ depends on a small number of linear directions of its input data. Call a function $g: \mathbb{R}^n \rightarrow \{-1,1\}$, a…

Computational Complexity · Computer Science 2021-01-14 Anindya De , Elchanan Mossel , Joe Neeman

This paper introduces an approach for detecting differences in the first-order structures of spatial point patterns. The proposed approach leverages the kernel mean embedding in a novel way by introducing its approximate version tailored to…

Methodology · Statistics 2020-06-15 Raif M. Rustamov , James T. Klosowski

Machine learning is a popular approach to signatureless malware detection because it can generalize to never-before-seen malware families and polymorphic strains. This has resulted in its practical use for either primary detection engines…

Cryptography and Security · Computer Science 2018-01-31 Hyrum S. Anderson , Anant Kharkar , Bobby Filar , David Evans , Phil Roth

Given a small random sample of $n$-bit strings labeled by an unknown Boolean function, which properties of this function can be tested computationally efficiently? We show an equivalence between properties that are efficiently testable from…

Computational Complexity · Computer Science 2026-04-07 Cynthia Dwork , Pranay Tankala

A private learner is trained on a sample of labeled points and generates a hypothesis that can be used for predicting the labels of newly sampled points while protecting the privacy of the training set [Kasiviswannathan et al., FOCS 2008].…

Machine Learning · Computer Science 2023-05-17 Moni Naor , Kobbi Nissim , Uri Stemmer , Chao Yan

We initiate the systematic study of QMA algorithms in the setting of property testing, to which we refer as QMA proofs of proximity (QMAPs). These are quantum query algorithms that receive explicit access to a sublinear-size untrusted proof…

Quantum Physics · Physics 2022-10-17 Marcel Dall'Agnol , Tom Gur , Subhayan Roy Moulik , Justin Thaler

Bias-transforming methods of fairness-aware machine learning aim to correct a non-neutral status quo with respect to a protected attribute (PA). Current methods, however, lack an explicit formulation of what drives non-neutrality. We…

Machine Learning · Computer Science 2025-02-04 Ludwig Bothmann , Philip A. Boustani , Jose M. Alvarez , Giuseppe Casalicchio , Bernd Bischl , Susanne Dandl

A Boolean function $f:\{0,1\}^n \mapsto \{0,1\}$ is said to be $\eps$-far from monotone if $f$ needs to be modified in at least $\eps$-fraction of the points to make it monotone. We design a randomized tester that is given oracle access to…

Discrete Mathematics · Computer Science 2014-01-14 Deeparnab Chakrabarty , C. Seshadhri

We study the general problem of testing whether an unknown distribution belongs to a specified family of distributions. More specifically, given a distribution family $\mathcal{P}$ and sample access to an unknown discrete distribution…

Data Structures and Algorithms · Computer Science 2017-08-09 Clément L. Canonne , Ilias Diakonikolas , Alistair Stewart

Data erasure can often occur in communication. Guarding against erasures involves redundancy in data representation. Mathematically this may be achieved by redundancy through the use of frames. One way to measure the robustness of a frame…

Information Theory · Computer Science 2014-03-25 Yang Wang

Machine unlearning seeks to remove the influence of particular data or class from trained models to meet privacy, legal, or ethical requirements. Existing unlearning methods tend to forget shallowly: phenomenon of an unlearned model pretend…

Machine Learning · Computer Science 2025-07-23 Jaeheun Jung , Bosung Jung , Suhyun Bae , Donghun Lee

Recently, a lot of effort has been devoted towards designing erasure qubits in which dominant physical noise excites leakage states whose population can be detected and returned to the qubit subspace. Interest in these erasure qubits has…

Quantum Physics · Physics 2024-08-05 Kathleen Chang , Shraddha Singh , Jahan Claes , Kaavya Sahay , James Teoh , Shruti Puri

Machine-learning models are becoming increasingly prevalent in our lives, for instance assisting in image-classification or decision-making tasks. Consequently, the reliability of these models is of critical importance and has resulted in…

Machine Learning · Computer Science 2022-06-14 Maria Christakis , Hasan Ferit Eniser , Jörg Hoffmann , Adish Singla , Valentin Wüstholz

Existing code benchmarks measure whether an agent can produce any test that reproduces a known bug, or whether it can produce a patch that fixes a described issue. Neither isolates the distinct skill of property-based testing: deriving a…

Software Engineering · Computer Science 2026-05-21 Lucas Jing , Xinqi Wang , Liao Zhang , Simon S. Du

In data mining applications, feature selection is an essential process since it reduces a model's complexity. The cost of obtaining the feature values must be taken into consideration in many domains. In this paper, we study the…

Machine Learning · Computer Science 2013-06-04 Hong Zhao , Fan Min , William Zhu

Functions are a fundamental object in mathematics, with countless applications to different fields, and are usually classified based on certain properties, given their domains and images. An important property of a real-valued function is…

Quantum Physics · Physics 2024-09-06 Nhat A. Nghiem , Tzu-Chieh Wei

We study quantum property testing for directed graphs with maximum in-degree and out-degree bounded by some universal constant $d$. For a proximity parameter $\varepsilon$, we show that any property that can be tested with…

Quantum Physics · Physics 2026-04-10 Pan Peng , Jingyu Wu