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In query learning, the goal is to identify an unknown object while minimizing the number of "yes" or "no" questions (queries) posed about that object. A well-studied algorithm for query learning is known as generalized binary search (GBS).…

Machine Learning · Statistics 2010-02-23 Gowtham Bellala , Suresh Bhavnani , Clayton Scott

We consider a new group testing model wherein each item is a binary random variable defined by an a priori probability of being defective. We assume that each probability is small and that items are independent, but not necessarily…

Information Theory · Computer Science 2018-07-24 Tongxin Li , Chun Lam Chan , Wenhao Huang , Tarik Kaced , Sidharth Jaggi

An instance of a group testing problem is a set of objects $\cO$ and an unknown subset $P$ of $\cO$. The task is to determine $P$ by using queries of the type ``does $P$ intersect $Q$'', where $Q$ is a subset of $\cO$. This problem occurs…

Combinatorics · Mathematics 2016-09-06 Emanuel Knill

In group testing, the goal is to identify a subset of defective items within a larger set of items based on tests whose outcomes indicate whether at least one defective item is present. This problem is relevant in areas such as medical…

Information Theory · Computer Science 2022-10-24 Eric Price , Jonathan Scarlett , Nelvin Tan

The group testing problem consists of determining a small set of defective items from a larger set of items based on a number of possibly-noisy tests, and has numerous practical applications. One of the defining features of group testing is…

Information Theory · Computer Science 2021-11-12 Bernard Teo , Jonathan Scarlett

Searching and sorting used as a subroutine in many important algorithms. Quantum algorithm can find a target item in a database faster than any classical algorithm. One can trade accuracy for speed and find a part of the database (a block)…

Quantum Physics · Physics 2009-11-13 Vladimir E. Korepin , Brenno C. Vallilo

We consider a query-based data acquisition problem for binary classification of unknown labels, which has diverse applications in communications, crowdsourcing, recommender systems and active learning. To ensure reliable recovery of unknown…

Information Theory · Computer Science 2021-05-03 Daesung Kim , Hye Won Chung

We address the problem of discovering 3D parts for objects in unseen categories. Being able to learn the geometry prior of parts and transfer this prior to unseen categories pose fundamental challenges on data-driven shape segmentation…

Computer Vision and Pattern Recognition · Computer Science 2021-09-21 Tiange Luo , Kaichun Mo , Zhiao Huang , Jiarui Xu , Siyu Hu , Liwei Wang , Hao Su

In group testing, the task is to identify defective items by testing groups of them together using as few tests as possible. We consider the setting where each item is defective with a constant probability $\alpha$, independent of all other…

Discrete Mathematics · Computer Science 2024-11-15 Lukas Hintze , Lena Krieg , Olga Scheftelowitsch , Haodong Zhu

In group testing, the task is to determine the distinguished members of a set of objects L by asking subset queries of the form ``does the subset Q of L contain a distinguished object?'' The primary biological application of group testing…

Combinatorics · Mathematics 2008-02-03 Emanuel Knill , S. Muthukrishnan

We consider some computationally efficient and provably correct algorithms with near-optimal sample-complexity for the problem of noisy non-adaptive group testing. Group testing involves grouping arbitrary subsets of items into pools. Each…

Information Theory · Computer Science 2016-11-18 Chun Lam Chan , Sidharth Jaggi , Venkatesh Saligrama , Samar Agnihotri

We consider the basic problem of learning an unknown partition of $n$ elements into at most $k$ sets using simple queries that reveal information about a small subset of elements. Our starting point is the well-studied pairwise same-set…

Data Structures and Algorithms · Computer Science 2025-06-24 Hadley Black , Arya Mazumdar , Barna Saha

The group testing problem concerns discovering a small number of defective items within a large population by performing tests on pools of items. A test is positive if the pool contains at least one defective, and negative if it contains no…

Information Theory · Computer Science 2026-05-15 Matthew Aldridge , Oliver Johnson , Jonathan Scarlett

Gathering training data is a key step of any supervised learning task, and it is both critical and expensive. Critical, because the quantity and quality of the training data has a high impact on the performance of the learned function.…

Data Structures and Algorithms · Computer Science 2021-10-28 Quentin Lutz , Élie de Panafieu , Alex Scott , Maya Stein

The group testing problem consists of determining a small set of defective items from a larger set of items based on a number of possibly-noisy tests, and is relevant in applications such as medical testing, communication protocols, pattern…

Information Theory · Computer Science 2023-09-19 Jonathan Scarlett , Oliver Johnson

The group testing problem consists of determining a small set of defective items from a larger set of items based on a number of possibly-noisy tests, and is relevant in applications such as medical testing, communication protocols, pattern…

Information Theory · Computer Science 2018-10-05 Jonathan Scarlett

Modern computer vision applications rely on learning-based perception modules parameterized with neural networks for tasks like object detection. These modules frequently have low expected error overall but high error on atypical groups of…

Computer Vision and Pattern Recognition · Computer Science 2022-04-22 Cinjon Resnick , Or Litany , Amlan Kar , Karsten Kreis , James Lucas , Kyunghyun Cho , Sanja Fidler

The integration of machine learning models in various real-world applications is becoming more prevalent to assist humans in their daily decision-making tasks as a result of recent advancements in this field. However, it has been discovered…

Machine Learning · Computer Science 2023-04-04 Ramtin Hosseini , Li Zhang , Bhanu Garg , Pengtao Xie

The goal of non-adaptive group testing is to identify at most $d$ defective items from $N$ items, in which a test of a subset of $N$ items is positive if it contains at least one defective item, and negative otherwise. However, in many…

Information Theory · Computer Science 2018-03-19 Thach V. Bui , Tetsuya Kojima , Minoru Kuribayashi , Isao Echizen

Accurate identification of important objects in the scene is a prerequisite for safe and high-quality decision making and motion planning of intelligent agents (e.g., autonomous vehicles) that navigate in complex and dynamic environments.…

Computer Vision and Pattern Recognition · Computer Science 2022-03-08 Jiachen Li , Haiming Gang , Hengbo Ma , Masayoshi Tomizuka , Chiho Choi
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