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We combine ideas from uni-directional and bi-directional heuristic search, and approximation algorithms for the Traveling Salesman Problem, to develop a novel framework for a Multi-Goal Path Finding (MGPF) problem that provides a…

Artificial Intelligence · Computer Science 2021-03-17 Kenny Chour , Sivakumar Rathinam , Ramamoorthi Ravi

Sparsity-constrained optimization is an important and challenging problem that has wide applicability in data mining, machine learning, and statistics. In this paper, we focus on sparsity-constrained optimization in cases where the cost…

Machine Learning · Computer Science 2016-12-19 Feng Chen , Baojian Zhou

The Traveling Salesman Problem (TSP) is a classic and extensively studied problem with numerous real-world applications in artificial intelligence and operations research. It is well-known that TSP admits a constant approximation ratio on…

Data Structures and Algorithms · Computer Science 2025-12-02 Jingyang Zhao , Zimo Sheng , Mingyu Xiao

In imitation learning for planning, parameters of heuristic functions are optimized against a set of solved problem instances. This work revisits the necessary and sufficient conditions of strictly optimally efficient heuristics for forward…

Artificial Intelligence · Computer Science 2023-10-31 Leah Chrestien , Tomás Pevný , Stefan Edelkamp , Antonín Komenda

Constant-factor, polynomial-time approximation algorithms are presented for two variations of the traveling salesman problem with time windows. In the first variation, the traveling repairman problem, the goal is to find a tour that visits…

Data Structures and Algorithms · Computer Science 2009-05-28 Greg N. Frederickson , Barry Wittman

Potential heuristics for state-space search are defined as weighted sums over simple state features. Atomic features consider the value of a single state variable in a factored state representation, while binary features consider joint…

Artificial Intelligence · Computer Science 2019-09-27 Florian Pommerening , Malte Helmert , Blai Bonet

Inferential decision-making algorithms typically assume that an underlying probabilistic model of decision alternatives and outcomes may be learned a priori or online. Furthermore, when applied to robots in real-world settings they often…

Robotics · Computer Science 2023-09-15 Yucheng Chen , Pingping Zhu , Anthony Alers , Tobias Egner , Marc A. Sommer , Silvia Ferrari

In nearly every discipline, scientific computations are limited by the cost and speed of computation. For example, the best-known exact algorithms for the canonical Traveling Salesman Problem would take centuries to run on an instance of…

Data Structures and Algorithms · Computer Science 2026-05-04 Jeffery Li , Jayson Lynch , Liva Olina , Cecilia Chen , Andrew Lucas , Neil Thompson

Unsplittable flow problems cover a wide range of telecommunication and transportation problems and their efficient resolution is key to a number of applications. In this work, we study algorithms that can scale up to large graphs and…

Data Structures and Algorithms · Computer Science 2023-03-29 François Lamothe , Emmanuel Rachelson , Alain Haït , Cedric Baudoin , Jean-Baptiste Dupe

The subset sum algorithm is a natural heuristic for the classical Bin Packing problem: In each iteration, the algorithm finds among the unpacked items, a maximum size set of items that fits into a new bin. More than 35 years after its first…

Computer Science and Game Theory · Computer Science 2009-07-27 Leah Epstein , Elena Kleiman , Julian Mestre

The traditional way of tackling discrete optimization problems is by using local search on suitably defined cost or fitness landscapes. Such approaches are however limited by the slowing down that occurs when the local minima that are a…

Disordered Systems and Neural Networks · Physics 2018-06-15 Konstantin Klemm , Anita Mehta , Peter F. Stadler

Many scenarios where agents with restrictions compete for resources can be cast as maximum matching problems on bipartite graphs. Our focus is on resource allocation problems where agents may have restrictions that make them incompatible…

Artificial Intelligence · Computer Science 2022-09-13 Yohai Trabelsi , Abhijin Adiga , Sarit Kraus , S. S. Ravi

We introduce and study the general setting of weighted search in which a number of targets, each with a certain weight, are hidden in a star-like environment that consists of $m$ infinite, concurrent rays, with a common origin. A mobile…

Data Structures and Algorithms · Computer Science 2021-05-05 Spyros Angelopoulos , Konstantinos Panagiotou

In the Travelling Salesman Problem, every vertex of an edge-weighted graph has to be visited by an agent who traverses the edges of the graph. In this problem, it is usually assumed that the costs of each edge are given in advance, making…

Data Structures and Algorithms · Computer Science 2025-01-31 Matthias Gehnen , Ralf Klasing , Émile Naquin

In robotic planetary surface exploration, strategic mobility planning is an important task that involves finding candidate long-distance routes on orbital maps and identifying segments with uncertain traversability. Then, expert human…

Robotics · Computer Science 2026-05-08 Olivier Lamarre , Jonathan Kelly

Pure exploration in multi-armed bandits has emerged as an important framework for modeling decision-making and search under uncertainty. In modern applications, however, one is often faced with a tremendously large number of options. Even…

Machine Learning · Computer Science 2022-11-22 Parth K. Thaker , Mohit Malu , Nikhil Rao , Gautam Dasarathy

We propose a novel non-randomized anytime orienteering algorithm for finding k-optimal goals that maximize reward on a specialized graph with budget constraints. This specialized graph represents a real-world scenario which is analogous to…

Artificial Intelligence · Computer Science 2020-11-03 Abhinav Sharma , Advait Deshpande , Yanming Wang , Xinyi Xu , Prashan Madumal , Anbin Hou

This paper presents a non-manual design engineering method based on heuristic search algorithm to search for candidate agents in the solution space which formed by artificial intelligence agents modeled on the base of bionics.Compared with…

Artificial Intelligence · Computer Science 2018-07-30 Zengkun Li

A quantum algorithm for combinatorial search is presented that provides a simple framework for utilizing search heuristics. The algorithm is evaluated in a new case that is an unstructured version of the graph coloring problem. It performs…

Quantum Physics · Physics 2009-10-06 Tad Hogg

A landmark based heuristic is investigated for reducing query phase run-time of the probabilistic roadmap (\PRM) motion planning method. The heuristic is generated by storing minimum spanning trees from a small number of vertices within the…

Robotics · Computer Science 2017-04-07 Brian Paden , Yannik Nager , Emilio Frazzoli
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