13 papers · ranked by Valyu relevance
Sander Borst, Daniel Dadush, Sophie Huiberts, Danish Kashaev
Explorable heap selection is the problem of selecting the nth smallest value in a binary heap. The key values can only be accessed by traversing through the underlying infinite binary tree, and the complexity of the algorithm is measured by the total distance traveled in the tree (each edge has unit cost). This problem…
Matthias Volk, Borzoo Bonakdarpour, Joost-Pieter Katoen, Saba Aflaki
Randomization is a key concept in distributed computing to tackle impossibility results. This also holds for self-stabilization in anonymous networks where coin flips are often used to break symmetry. Although the use of randomization in self-stabilizing algorithms is rather common, it is unclear what the optimal coin…
Jimmy Efird
When planning a randomized clinical trial, careful consideration must be given to how participants are selected for various arms of a study. Selection and accidental bias may occur when participants are not assigned to study groups with equal probability. A simple random allocation scheme is a process by which each…
Mahmood Saghaei
Background Typically, randomization software should allow users to exert control over the different aspects of randomization including block design, provision of unique identifiers and control over the format and type of program output. While some of these characteristics have been addressed by available software, none…
Susanne Albers, Arindam Khan, Leon Ladewig
The knapsack problem is one of the classical problems in combinatorial optimization: Given a set of items, each specified by its size and profit, the goal is to find a maximum profit packing into a knapsack of bounded capacity. In the online setting, items are revealed one by one and the decision, if the current item…
Ben R Carter, Kerenza Hood
Where all units are fully identified in advance, a single block can be used for the study. The algorithm carries out a complete enumeration of all allocations in a two-treatment arm study. When the number of units within a block to be allocated is even, an equal number of units would be allocated into each of the…
Mengqi Zhang, Guangqiang Teng, Xiaoyu Lei, Boris Ryabko
Lei proposed an algorithm Algorithm $A_{3}$ in 2023 to generate an exact discrete uniform distribution from an unknown biased Bernoulli source. The present paper does not claim a new extraction algorithm. Its contributions are analytical: first, we provide a Fourier-analytic proof of the uniformity mechanism based on…
Corrie Jacobien Carstens, Annabell Berger, Giovanni Strona
Title: Graphical abstract
Oleksandr Sverdlov, Yevgen Ryeznik, Volodymyr Anisimov, Olga M. Kuznetsova + 4 more
'Olga M. Kuznetsova' 'Ruth Knight' 'Kerstine Carter' 'Sonja Drescher' 'Wenle Zhao'] Background The design of a multi-center randomized controlled trial (RCT) involves multiple considerations, such as the choice of the sample size, the number of centers and their geographic location, the strategy for recruitment of…
Susanne Albers, Maximilian Janke
Makespan minimization on identical machines is a fundamental problem in online scheduling. The goal is to assign a sequence of jobs to m identical parallel machines so as to minimize the maximum completion time of any job. Already in the 1960s, Graham showed that Greedy is $2-1/m$-competitive. The best deterministic…
Ahmed A. Al-Jaishi, Monica Taljaard, Melissa D. Al-Jaishi, Sheikh S. Abdullah + 4 more
'Sheikh S. Abdullah' 'Lehana Thabane' 'P. J. Devereaux' 'Stephanie N. Dixon' 'Amit X. Garg'] Background Cluster randomized trials (CRTs) are becoming an increasingly important design. However, authors of CRTs do not always adhere to requirements to explicitly identify the design as cluster randomized in titles and…
Cameron Foreman, Richie Yeung, Florian J. Curchod, Andrei Khrennikov + 1 more
'Karl Svozil'] Random number generators (RNGs) are notoriously challenging to build and test, especially for cryptographic applications. While statistical tests cannot definitively guarantee an RNG’s output quality, they are a powerful verification tool and the only universally applicable testing method. In this work…
Amy Vennos, Alan Michaels, Yong Deng
This paper models a translation for base-2 pseudorandom number generators (PRNGs) to mixed-radix uses such as card shuffling. In particular, we explore a shuffler algorithm that relies on a sequence of uniformly distributed random inputs from a mixed-radix domain to implement a Fisher-Yates shuffle that calls for…