Optimal adaptive group testing
@article{HahnKlimroth2019OptimalAG, title={Optimal adaptive group testing}, author={Max Hahn-Klimroth and Philipp Loick}, journal={ArXiv}, year={2019}, volume={abs/1911.06647} }
The group testing problem is concerned with identifying a small number $k \sim n^\theta$ for $\theta \in (0,1)$ of infected individuals in a large population of size $n$. At our disposal is a testing procedure that allows us to test groups of individuals. This paper considers two-stage designs where the test results of the first stage can inform the design of the second stage. We are interested in the minimum number of tests to recover the set of infected individuals w.h.p. Equipped with a… Expand
Figures and Topics from this paper
3 Citations
Information-theoretic and algorithmic thresholds for group testing
- Mathematics, Computer Science
- ICALP
- 2019
- 30
- PDF
On the All-or-Nothing Behavior of Bernoulli Group Testing
- Computer Science, Mathematics
- IEEE Journal on Selected Areas in Information Theory
- 2020
- 5
- PDF
References
SHOWING 1-10 OF 26 REFERENCES
Information-theoretic and algorithmic thresholds for group testing
- Mathematics, Computer Science
- ICALP
- 2019
- 30
- PDF
Group Testing With Random Pools: Optimal Two-Stage Algorithms
- Mathematics, Computer Science
- IEEE Transactions on Information Theory
- 2011
- 56
- PDF
Group Testing with Random Pools: Phase Transitions and Optimal Strategy
- Mathematics, Physics
- 2007
- 26
- PDF
Group testing: an information theory perspective
- Psychology, Computer Science
- Found. Trends Commun. Inf. Theory
- 2019
- 93
- PDF
Randomized Group Testing Both Query-Optimal and Minimal Adaptive
- Mathematics, Computer Science
- SOFSEM
- 2012
- 17
- PDF
The Capacity of Bernoulli Nonadaptive Group Testing
- Mathematics, Computer Science
- IEEE Transactions on Information Theory
- 2017
- 33
- PDF
Noisy Adaptive Group Testing: Bounds and Algorithms
- Computer Science, Mathematics
- IEEE Transactions on Information Theory
- 2019
- 19
- Highly Influential
- PDF
Asymptotic efficiency of two-stage disjunctive testing
- Mathematics, Computer Science
- IEEE Trans. Inf. Theory
- 2002
- 32
- Highly Influential
- PDF