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We revisit the problem of searching for a target at an unknown location on a line when given upper and lower bounds on the distance D that separates the initial position of the searcher from the target. Prior to this work, only asymptotic…

Data Structures and Algorithms · Computer Science 2013-10-04 Prosenjit Bose , Jean-Lou De Carufel , Stephane Durocher

We study the setting in which a mobile agent must locate a hidden target in a bounded or unbounded environment, with no information about the hider's position. In particular, we consider online search, in which the performance of the search…

Data Structures and Algorithms · Computer Science 2020-12-01 Spyros Angelopoulos , Malachi Voss

Consider the following classical search problem: given a target point $p\in \Re$, starting at the origin, find $p$ with minimum cost, where cost is defined as the distance travelled. Let $D$ be the distance of $p$ from the origin. When no…

Data Structures and Algorithms · Computer Science 2014-11-05 Prosenjit Bose , Jean-Lou De Carufel

We study the classic problem in which a Searcher must locate a hidden point, also called the Hider in a network, starting from a root point. The network may be either bounded or unbounded, thus generalizing well-known settings such as…

Optimization and Control · Mathematics 2019-08-07 Spyros Angelopoulos , Thomas Lidbetter

We study the problem of searching for a hidden target in an environment that is modeled by an edge-weighted graph. A sequence of edges is chosen starting from a given root vertex such that each edge is adjacent to a previously chosen edge.…

Optimization and Control · Mathematics 2017-08-02 Spyros Angelopoulos , Christoph Dürr , Thomas Lidbetter

Wide parameter space searches for long lived continuous gravitational wave signals are computationally limited. It is therefore critically important that available computational resources are used rationally. In this paper we consider…

General Relativity and Quantum Cosmology · Physics 2016-03-09 Jing Ming , Badri Krishnan , Maria Alessandra Papa , Carsten Aulbert , Henning Fehrmann

We study the classic problem of searching for a hidden target in the line and the $m$-ray star, in a setting in which the searcher has some prediction on the hider's position. We first focus on the main metric for comparing search…

Data Structures and Algorithms · Computer Science 2024-01-01 Spyros Angelopoulos

In search problems, a mobile searcher seeks to locate a target that hides in some unknown position of the environment. Such problems are typically considered to be of an on-line nature, in that the input is unknown to the searcher, and the…

Data Structures and Algorithms · Computer Science 2018-10-19 Spyros Angelopoulos , Christoph Dürr , Shendan Jin

We introduce a search problem generalizing the typical setting of Binary Search on the line. Similar to the setting for Binary Search, a target is chosen adversarially on the line, and in response to a query, the algorithm learns whether…

Data Structures and Algorithms · Computer Science 2023-03-14 Calvin Leng , David Kempe

We consider the problem of searching for an object on a line at an unknown distance OPT from the original position of the searcher, in the presence of a cost of d for each time the searcher changes direction. This is a generalization of the…

Data Structures and Algorithms · Computer Science 2007-05-23 Erik D. Demaine , Sandor P. Fekete , Shmuel Gal

Autonomous navigation often requires the simultaneous optimization of multiple objectives. The most common approach scalarizes these into a single cost function using a weighted sum, but this method is unable to find all possible trade-offs…

Robotics · Computer Science 2026-04-07 Krishna Kalavadia , Shamak Dutta , Yash Vardhan Pant , Stephen L. Smith

We study a variant of the searching problem where the environment consists of a known terrain and the goal is to obtain visibility of an unknown target point on the surface of the terrain. The searcher starts on the surface of the terrain…

Computational Geometry · Computer Science 2024-01-03 Sarita de Berg , Nathan van Beusekom , Max van Mulken , Kevin Verbeek , Jules Wulms

We study the problem of searching for a target at some unknown location in $\mathbb{R}^d$ when additional information regarding the position of the target is available in the form of predictions. In our setting, predictions come as…

Computational Geometry · Computer Science 2025-04-08 Sergio Cabello , Panos Giannopoulos

We consider the problem of minimizing the worst-case search time for a hidden point target in the plane using multiple mobile agents of differing speeds, all starting from a common origin. The search time is normalized by the target's…

Data Structures and Algorithms · Computer Science 2026-02-02 Konstantinos Georgiou , Caleb Jones , Matthew Madej

We consider the problem of searching for rays (or lines) in the half-plane. The given problem turns out to be a very natural extension of the cow-path problem that is lifted into the half-plane and the problem can also directly be motivated…

Computational Geometry · Computer Science 2025-12-19 Elmar Langetepe , Florian Gans

Consider the following generalization of the classic binary search problem: A searcher is required to find a hidden target vertex $x$ in a graph $G$. To do so, they iteratively perform queries to an oracle, each about a chosen vertex $v$.…

Data Structures and Algorithms · Computer Science 2026-03-17 Michał Szyfelbein

We consider \emph{weighted group search on a disk}, which is a search-type problem involving 2 mobile agents with unit-speed. The two agents start collocated and their goal is to reach a (hidden) target at an unknown location and a known…

Discrete Mathematics · Computer Science 2024-07-01 Konstantinos Georgiou , Xin Wang

We consider the following generalization of the binary search problem. A search strategy is required to locate an unknown target node $t$ in a given tree $T$. Upon querying a node $v$ of the tree, the strategy receives as a reply an…

Data Structures and Algorithms · Computer Science 2017-02-28 Dariusz Dereniowski , Adrian Kosowski , Przemyslaw Uznanski , Mengchuan Zou

A single target is hidden at a location chosen from a predetermined probability distribution. Then, a searcher must find a second probability distribution from which random search points are sampled such that the target is found in the…

Data Analysis, Statistics and Probability · Physics 2013-05-29 Joseph Snider

We introduce the study of search games between a mobile Searcher and an immobile Hider in a new setting in which the Searcher has some potentially erroneous information, i.e., a prediction on the Hider's position. The objective is to…

Computer Science and Game Theory · Computer Science 2024-09-05 Spyros Angelopoulos , Thomas Lidbetter , Konstantinos Panagiotou
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