no code implementations • 22 Dec 2023 • Max Hahn-Klimroth, Remco van der Hofstad, Noela Müller, Connor Riddlesden
In this article, we resolve the question whether this $\log n$-gap is artificial or of a fundamental nature by the design of an efficient algorithm, called \algoname, based upon a novel pooling scheme on a number of pools very close to the information-theoretic threshold.
no code implementations • 11 Dec 2023 • Max Hahn-Klimroth, Paul W. Dierkes, Matthias W. Kleespies
In several branches of the social sciences and humanities, surveys based on standardized questionnaires are a prominent research tool.
no code implementations • 2 Mar 2023 • Yannick Gerstorfer, Lena Krieg, Max Hahn-Klimroth
More specifically, we are interested in the strength of the influence -- i. e., is the feature relevant?
no code implementations • 28 Feb 2023 • Max Hahn-Klimroth, Dominik Kaaser, Malin Rau
In the pooled data problem we are given $n$ agents with hidden state bits, either $0$ or $1$.
no code implementations • 15 Jun 2022 • Amin Coja-Oghlan, Oliver Gebhard, Max Hahn-Klimroth, Alexander S. Wein, Ilias Zadik
For the Bernoulli design, we determine the precise number of tests required to solve the associated detection problem (where the goal is to distinguish between a group testing instance and pure noise), improving both the upper and lower bounds of Truong, Aldridge, and Scarlett (2020).
no code implementations • 24 May 2022 • Petra Berenbrink, Max Hahn-Klimroth, Dominik Kaaser, Lena Krieg, Malin Rau
In this work we present a maximum likelihood estimator for the rumor's source, given a snapshot of the process in terms of a set of active nodes $X$ after $t$ steps.
no code implementations • 14 Apr 2022 • Max Hahn-Klimroth, Dominik Kaaser
In the pooled data problem we are given a set of $n$ agents, each of which holds a hidden state bit, either $0$ or $1$.
no code implementations • 13 May 2021 • AminCoja-Oghlan, Max Hahn-Klimroth, Philipp Loick, Manuel Penschuck
The group testing problem asks for efficient pooling schemes and algorithms that allow to screen moderately large numbers of samples for rare infections.