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In 1971, Knuth gave an $O(n^2)$-time algorithm for the classic problem of finding an optimal binary search tree. Knuth's algorithm works only for search trees based on 3-way comparisons, while most modern computers support only 2-way…

数据结构与算法 · 计算机科学 2021-03-10 Marek Chrobak , Mordecai Golin , J. Ian Munro , Neal E. Young

Trajectory optimization is a widely used tool in the design and control of dynamical systems. Typically, not only nonlinear dynamics, but also couplings of the initial and final condition through implicit boundary constraints render the…

最优化与控制 · 数学 2024-12-05 Mohamed Abou-Taleb , Maximilian Raff , Kathrin Flaßkamp , C. David Remy

We consider the problem of finding an edge in a hidden undirected graph $G = (V, E)$ with $n$ vertices, in a model where we only allowed queries that ask whether or not a subset of vertices contains an edge. We study the non-adaptive model…

数据结构与算法 · 计算机科学 2022-07-07 Ron Kupfer , Noam Nisan

We study the problem of learning a good search policy for combinatorial search spaces. We propose retrospective imitation learning, which, after initial training by an expert, improves itself by learning from \textit{retrospective…

机器学习 · 计算机科学 2019-06-25 Jialin Song , Ravi Lanka , Albert Zhao , Aadyot Bhatnagar , Yisong Yue , Masahiro Ono

In this paper, we conduct a literature review of laws of motion based on stochastic search strategies which are mainly focused on exploring highly dynamic environments. In this regard, stochastic search strategies represent an interesting…

Inspired by the diverse set of technologies used in underground object detection and imaging, we introduce a novel multimodal linear search problem whereby a single searcher starts at the origin and must find a target that can only be…

离散数学 · 计算机科学 2025-03-03 Jared Coleman , Dmitry Ivanov , Evangelos Kranakis , Danny Krizanc , Oscar Morales Ponce

This report investigates three fundamental search algorithms: Linear Search, Binary Search, and Two Pointer Search. Linear Search checks each element sequentially, Binary Search divides the search space in half, and Two Pointer Search uses…

数据结构与算法 · 计算机科学 2024-06-25 Nazma Akter Zinnia , Eisuke Hanada

This review examines intermittent target search strategies, which combine phases of slow motion, allowing the searcher to detect the target, and phases of fast motion during which targets cannot be detected. We first show that intermittent…

统计力学 · 物理学 2015-05-27 O. Bénichou , C. Loverdo , M. Moreau , R. Voituriez

We propose a new Pareto Local Search Algorithm for the many-objective combinatorial optimization. Pareto Local Search proved to be a very effective tool in the case of the bi-objective combinatorial optimization and it was used in a number…

数据结构与算法 · 计算机科学 2017-12-15 Andrzej Jaszkiewicz

Binary search trees (BST) are a popular type of data structure when dealing with ordered data. Indeed, they enable one to access and modify data efficiently, with their height corresponding to the worst retrieval time. From a probabilistic…

概率论 · 数学 2025-01-28 Benoît Corsini , Victor Dubach , Valentin Féray

Consider a target moving with a constant velocity on a unit-circumference circle, starting from an arbitrary location. To acquire the target, any region of the circle can be probed for its presence, but the associated measurement noise…

信息论 · 计算机科学 2014-08-19 Yonatan Kaspi , Ofer Shayevitz , Tara Javidi

Assume we have two bijective functions $U(x)$ and $M(x)$ with $M(x)\neq U(x)$ for all $x$ and $M,N: \N \rightarrow \N$ . Every day and in different locations, we see the different results of $U$ and $M$ without seeing $x$. We are not…

其他计算机科学 · 计算机科学 2015-01-06 Paolo D'Alberto , Veronica Milenkly

We study $p$-Faulty Search, a variant of the classic cow-path optimization problem, where a unit speed robot searches the half-line (or $1$-ray) for a hidden item. The searcher is probabilistically faulty, and detection of the item with…

数据结构与算法 · 计算机科学 2020-02-19 Anthony Bonato , Konstantinos Georgiou , Calum MacRury , Pawel Pralat

The goal of multi-object tracking is to detect and track all objects in a scene while maintaining unique identifiers for each, by associating their bounding boxes across video frames. This association relies on matching motion and…

计算机视觉与模式识别 · 计算机科学 2025-12-30 Momir Adžemović , Predrag Tadić , Andrija Petrović , Mladen Nikolić

The paper presents a new method, SearchTrack, for multiple object tracking and segmentation (MOTS). To address the association problem between detected objects, SearchTrack proposes object-customized search and motion-aware features. By…

计算机视觉与模式识别 · 计算机科学 2022-11-01 Zhong-Min Tsai , Yu-Ju Tsai , Chien-Yao Wang , Hong-Yuan Liao , Youn-Long Lin , Yung-Yu Chuang

Bi-objective search is a well-known algorithmic problem, concerned with finding a set of optimal solutions in a two-dimensional domain. This problem has a wide variety of applications such as planning in transport systems or optimal control…

人工智能 · 计算机科学 2022-03-10 Saman Ahmadi , Guido Tack , Daniel Harabor , Philip Kilby

This paper presents the design of an extremum seeking controller based on sliding modes and cyclic search for real-time optimization of non-linear multivariable dynamic systems. These systems have arbitrary relative degree, compensated by…

最优化与控制 · 数学 2024-07-31 Nerito Oliveira Aminde , Tiago Roux Oliveira , Liu Hsu

Many foraging animals find food using composite random search strategies, which consist of intensive and extensive search modes. Models of composite search can generate predictions about how optimal foragers should behave in each search…

种群与进化 · 定量生物学 2017-09-26 Ben C. Nolting , Travis M. Hinkelman , Chad E. Brassil , Brigitte Tenhumberg

In multi-agent search planning for a randomly moving and camouflaging target, we examine heterogeneous searchers that differ in terms of their endurance level, travel speed, and detection ability. This leads to a convex mixed-integer…

最优化与控制 · 数学 2023-11-03 Miguel Lejeune , Johannes O. Royset , Wenbo Ma

Efficient spatial exploration is a key aspect of search and rescue. In this paper, we present a search algorithm that generates efficient trajectories that optimize the rate at which probability mass is covered by a searcher. This should…

机器人学 · 计算机科学 2019-06-18 Sandeep Manjanna , Herke van Hoof , Gregory Dudek