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The basic goal of threshold group testing is to identify up to $d$ defective items among a population of $n$ items, where $d$ is usually much smaller than $n$. The outcome of a test on a subset of items is positive if the subset has at…

Information Theory · Computer Science 2021-08-24 Thach V. Bui , Mahdi Cheraghchi , Isao Echizen

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

The goal of combinatorial group testing is to efficiently identify up to $d$ defective items in a large population of $n$ items, where $d \ll n$. Defective items satisfy certain properties while the remaining items in the population do not.…

Information Theory · Computer Science 2019-04-02 Thach V. Bui , Minoru Kuribayashi , Mahdi Cheraghchi , Isao Echizen

Group-testing refers to the problem of identifying (with high probability) a (small) subset of $D$ defectives from a (large) set of $N$ items via a "small" number of "pooled" tests. For ease of presentation in this work we focus on the…

Information Theory · Computer Science 2013-07-11 Sheng Cai , Mohammad Jahangoshahi , Mayank Bakshi , Sidharth Jaggi

Computational discovery of ideal lead compounds is a critical process for modern drug discovery. It comprises multiple stages: hit screening, molecular property prediction, and molecule optimization. Current efforts are disparate, involving…

Biomolecules · Quantitative Biology 2023-01-24 Yueming Yin , Haifeng Hu , Zhen Yang , Jitao Yang , Chun Ye , Jiansheng Wu , Wilson Wen Bin Goh

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

Information Theory · Computer Science 2022-09-28 Nelvin Tan , Way Tan , Jonathan Scarlett

Group testing is a well-known search problem that consists in detecting of $s$ defective members of a set of $t$ samples by carrying out tests on properly chosen subsets of samples. In classical group testing the goal is to find all…

Information Theory · Computer Science 2019-05-01 Ilya Vorobyev

We present a sound and complete algorithm, called iterative causal discovery (ICD), for recovering causal graphs in the presence of latent confounders and selection bias. ICD relies on the causal Markov and faithfulness assumptions and…

Machine Learning · Computer Science 2022-01-19 Raanan Y. Rohekar , Shami Nisimov , Yaniv Gurwicz , Gal Novik

In drug discovery, knowledge of the graph structure of chemical compounds is essential. Many thousands of scientific articles in chemistry and pharmaceutical sciences have investigated chemical compounds, but in cases the details of the…

Machine Learning · Statistics 2020-09-16 Martijn Oldenhof , Adam Arany , Yves Moreau , Jaak Simm

In the problem of classical group testing one aims to identify a small subset (of size $d$) diseased individuals/defective items in a large population (of size $n$). This process is based on a minimal number of suitably-designed group tests…

Information Theory · Computer Science 2022-09-26 Xiwei Cheng , Sidharth Jaggi , Qiaoqiao Zhou

We consider non-adaptive threshold group testing for identification of up to $d$ defective items in a set of $n$ items, where a test is positive if it contains at least $2 \leq u \leq d$ defective items, and negative otherwise. The…

Information Theory · Computer Science 2018-09-25 Thach V. Bui , Minoru Kuribayashi , Mahdi Cheraghchi , Isao Echizen

A significant part of the proteome is composed of intrinsically-disordered proteins (IDPs). These proteins do not fold into a well-defined structure and behave like ordinary polymers. In this work we consider IDPs which have the tendency to…

Biological Physics · Physics 2018-03-14 Dino Osmanovic , Yitzhak Rabin

We consider the group testing problem, in the case where the items are defective independently but with non-constant probability. We introduce and analyse an algorithm to solve this problem by grouping items together appropriately. We give…

Information Theory · Computer Science 2015-02-04 Tom Kealy , Oliver Johnson , Robert Piechocki

While deep learning has revolutionized the prediction of rigid protein structures, modelling the conformational ensembles of Intrinsically Disordered Proteins (IDPs) remains a key frontier. Current AI paradigms present a trade-off: Protein…

Biomolecules · Quantitative Biology 2025-12-19 Eoin Quinn , Marco Carobene , Jean Quentin , Sebastien Boyer , Miguel Arbesú , Oliver Bent

The conventional model of disjunctive group testing assumes that there are several defective elements (or defectives) among a large population, and a group test yields the positive response if and only if the testing group contains at least…

Information Theory · Computer Science 2019-08-20 A. G. D'yachkov , N. A. Polyanskii , V. Yu. Shchukin , I. V. Vorobyev

In the group-testing literature, efficient algorithms have been developed to minimize the number of tests required to identify all minimal "defective" sub-groups embedded within a larger group, using deterministic group splitting with a…

Discrete Mathematics · Computer Science 2020-10-20 Laurence A. Clarfeld , Margaret J. Eppstein

The discovery of peptides having high biological activity is very challenging mainly because there is an enormous diversity of compounds and only a minority have the desired properties. To lower cost and reduce the time to obtain promising…

Quantitative Methods · Quantitative Biology 2014-04-11 Sébastien Giguère , François Laviolette , Mario Marchand , Denise Tremblay , Sylvain Moineau , Éric Biron , Jacques Corbeil

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

Automated ICD coding involves assigning standardized diagnostic codes to clinical narratives. The vast label space and extreme class imbalance continue to challenge precise prediction. To address these issues, LabGraph is introduced -- a…

Machine Learning · Computer Science 2026-01-13 Xiaoxiao Deng

In combinatorial group testing problems Questioner needs to find a defective element $x\in [n]$ by testing subsets of $[n]$. In [18] the authors introduced a new model, where each element knows the answer for those queries that contain it…

Discrete Mathematics · Computer Science 2017-05-25 Dániel Gerbner , Máté Vizer