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Graph searches and their respective search trees are widely used in algorithmic graph theory. The problem whether a given spanning tree can be a graph search tree has been considered for different searches, graph classes and search tree…

Discrete Mathematics · Computer Science 2023-07-17 Robert Scheffler

In this work we introduce and study a pursuit-evasion game in which the search is performed by heterogeneous entities. We incorporate heterogeneity into the classical edge search problem by considering edge-labeled graphs: once a search…

Discrete Mathematics · Computer Science 2024-01-26 Dariusz Dereniowski , Łukasz Kuszner , Robert Ostrowski

Monte Carlo Tree Search is a popular method for solving decision making problems. Faster implementations allow for more simulations within the same wall clock time, directly improving search performance. To this end, we present an…

Artificial Intelligence · Computer Science 2025-08-29 James Ragan , Fred Y. Hadaegh , Soon-Jo Chung

Long-horizon planning in realistic environments requires the ability to reason over sequential tasks in high-dimensional state spaces with complex dynamics. Classical motion planning algorithms, such as rapidly-exploring random trees, are…

Robotics · Computer Science 2020-10-14 Brian Ichter , Pierre Sermanet , Corey Lynch

Tree search algorithms, such as branch-and-bound, are the most widely used tools for solving combinatorial and nonconvex problems. For example, they are the foremost method for solving (mixed) integer programs and constraint satisfaction…

Artificial Intelligence · Computer Science 2018-05-18 Maria-Florina Balcan , Travis Dick , Tuomas Sandholm , Ellen Vitercik

Vehicle Routing Problem is a well-known problem in logistics and transportation, and the variety of such problems is explained by the fact that it occurs in many real-life situations. It is an NP-hard combinatorial optimization problem and…

Artificial Intelligence · Computer Science 2016-09-30 Ivan S. Grechikhin

Autonomous mobile robots enable increased flexibility of manufacturing systems. The design and operating strategy of such a fleet of robots requires careful consideration of both fixed and operational costs. In this paper, a Monte-Carlo…

Systems and Control · Electrical Eng. & Systems 2024-03-05 T. M. J. T. Baltussen , M. Goutham , M. Menon , S. G. Garrow , M. Santillo , S. Stockar

This is a survey of "Iterated Local Search", a general purpose metaheuristic for finding good solutions of combinatorial optimization problems. It is based on building a sequence of (locally optimal) solutions by: (1) perturbing the current…

Optimization and Control · Mathematics 2007-05-23 H. R. Lourenco , O. C. Martin , T. Stutzle

This paper investigates what properties a neighbourhood requires to support beneficial local search. We show that neighbourhood locality, and a reduction in cost probability towards the optimum, support a proof that search among neighbours…

Artificial Intelligence · Computer Science 2024-11-20 Mark G. Wallace

Designing a search heuristic for constraint programming that is reliable across problem domains has been an important research topic in recent years. This paper concentrates on one family of candidates: counting-based search. Such…

Artificial Intelligence · Computer Science 2014-01-21 Gilles Pesant , Claude-Guy Quimper , Alessandro Zanarini

We study quantum algorithms on search trees of unknown structure, in a model where the tree can be discovered by local exploration. That is, we are given the root of the tree and access to a black box which, given a vertex $v$, outputs the…

Quantum Physics · Physics 2022-12-29 Andris Ambainis , Martins Kokainis

K-nearest neighbor (kNN) search has wide applications in many areas, including data mining, machine learning, statistics and many applied domains. Inspired by the success of ensemble methods and the flexibility of tree-based methodology, we…

Machine Learning · Statistics 2020-05-27 Donghui Yan , Yingjie Wang , Jin Wang , Honggang Wang , Zhenpeng Li

We consider machine learning in a comparison-based setting where we are given a set of points in a metric space, but we have no access to the actual distances between the points. Instead, we can only ask an oracle whether the distance…

Machine Learning · Statistics 2017-04-06 Siavash Haghiri , Debarghya Ghoshdastidar , Ulrike von Luxburg

High-dimensional design spaces underpin a wide range of physics-based modeling and computational design tasks in science and engineering. These problems are commonly formulated as constrained black-box searches over rugged objective…

Machine Learning · Computer Science 2026-01-13 Suvo Banik , Troy D. Loeffler , Henry Chan , Sukriti Manna , Orcun Yildiz , Tom Peterka , Subramanian Sankaranarayanan

Application of the turbo principle to multiuser decoding results in an exchange of probability distributions between two sets of constraints. Firstly, constraints imposed by the multiple-access channel, and secondly, individual constraints…

Information Theory · Computer Science 2007-07-13 Adriel Kind , Alex Grant

Among sub-optimal Multi-Agent Path Finding (MAPF) solvers, rule-based algorithms are particularly appealing since they are complete. Even in crowded scenarios, they allow finding a feasible solution that brings each agent to its target,…

Multiagent Systems · Computer Science 2024-10-11 Irene Saccani , Stefano Ardizzoni , Luca Consolini , Marco Locatelli

Rebalancing schemes for dynamic binary search trees are numerous in the literature, where the goal is to maintain trees of low height, either in the worst-case or expected sense. In this paper we study randomized rebalancing schemes for…

Data Structures and Algorithms · Computer Science 2024-04-15 Gerth Stølting Brodal

In the Steiner Forest problem, we are given a graph and a collection of source-sink pairs, and the goal is to find a subgraph of minimum total length such that all pairs are connected. The problem is APX-Hard and can be 2-approximated by,…

Data Structures and Algorithms · Computer Science 2017-07-11 Martin Groß , Anupam Gupta , Amit Kumar , Jannik Matuschke , Daniel R. Schmidt , Melanie Schmidt , José Verschae

Motivated by what is required for real-time path planning, the paper starts out by presenting sRMPD, a new recursive "local" planner founded on the key notion that, unless made necessary by an obstacle, there must be no deviation from the…

Robotics · Computer Science 2018-02-27 Fangda Li , Ankit V. Manerikar , Avinash C. Kak

Finding high-quality solutions to mixed-integer linear programming problems (MILPs) is of great importance for many practical applications. In this respect, the refinement heuristic local branching (LB) has been proposed to produce…

Optimization and Control · Mathematics 2022-08-04 Defeng Liu , Matteo Fischetti , Andrea Lodi