Searching games with errors—fifty years of co** with liars

A Pelc - Theoretical Computer Science, 2002 - Elsevier
This is a survey on searching with errors, considered in the framework of two-person games.
The Responder thinks of an object in the search space, and the Questioner has to find it by …

Optimal bounds for noisy sorting

Y Gu, Y Xu - Proceedings of the 55th Annual ACM Symposium on …, 2023 - dl.acm.org
Sorting is a fundamental problem in computer science. In the classical setting, it is well-
known that (1±o (1)) n log2 n comparisons are both necessary and sufficient to sort a list of n …

[PDF][PDF] Noisy binary search and its applications

RM Karp, R Kleinberg - Proceedings of the eighteenth annual ACM-SIAM …, 2007 - Citeseer
We study a noisy version of the classic binary search problem of inserting an element into its
proper place within an ordered sequence by comparing it with elements of the sequence. In …

Generalized binary search

R Nowak - 2008 46th annual Allerton conference on …, 2008 - ieeexplore.ieee.org
This paper studies a generalization of the classic binary search problem of locating a
desired value within a sorted list. The classic problem can be viewed as determining the …

Combinatorial games: selected bibliography with a succinct gourmet introduction

A Fraenkel - The Electronic Journal of Combinatorics, 2012 - combinatorics.org
Roughly speaking, the family of combinatorial games consists of two-player games with
perfect information (no hidden information as in some card games), no chance moves (no …

AMD: Audit-based misbehavior detection in wireless ad hoc networks

Y Zhang, L Lazos, W Kozma - IEEE transactions on mobile …, 2012 - ieeexplore.ieee.org
We address the problem of identifying and isolating misbehaving nodes that refuse to
forward packets in multi-hop ad hoc networks. We develop a comprehensive system called …

The bayesian learner is optimal for noisy binary search (and pretty good for quantum as well)

M Ben-Or, A Hassidim - 2008 49th Annual IEEE Symposium on …, 2008 - ieeexplore.ieee.org
We use a Bayesian approach to optimally solve problems in noisy binary search. We deal
with two variants: 1. Each comparison is erroneous with independent probability 1-p. 2. At …

The geometry of generalized binary search

RD Nowak - IEEE Transactions on Information Theory, 2011 - ieeexplore.ieee.org
This paper investigates the problem of determining a binary-valued function through a
sequence of strategically selected queries. The focus is an algorithm called Generalized …

Deterministic and probabilistic binary search in graphs

E Emamjomeh-Zadeh, D Kempe… - Proceedings of the forty …, 2016 - dl.acm.org
We consider the following natural generalization of Binary Search: in a given undirected,
positively weighted graph, one vertex is a target. The algorithm's task is to identify the target …

[BOOK][B] Fault-Tolerant Search Algorithms

F Cicalese - 2013 - Springer
The study of the effect that errors may have on computation started at the very beginning of
the history of computer science. It dates back to the early 1950s, to the research by von …