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Large-scale unconstrained optimization is a fundamental and important class of, yet not well-solved problems in numerical optimization. The main challenge in designing an algorithm is to require a few storage locations or very inexpensive…

Optimization and Control · Mathematics 2020-01-24 Zheng Li , Shi Shu , Jian-Ping Zhang

The assessment of bidirectional heuristic search has been incorrect since it was first published more than a quarter of a century ago. For quite a long time, this search strategy did not achieve the expected results, and there was a major…

Artificial Intelligence · Computer Science 2014-11-17 H. Kaindl , G. Kainz

The Hierarchical Memory Model (HMM) of computation is similar to the standard Random Access Machine (RAM) model except that the HMM has a non-uniform memory organized in a hierarchy of levels numbered 1 through h. The cost of accessing a…

Data Structures and Algorithms · Computer Science 2008-04-08 Shripad Thite

We introduce a new heuristic for the A* algorithm that references a data structure significantly smaller than that of ALT. We characterize the behavior of this new heuristic based on a dual landmark configuration that leverages…

Data Structures and Algorithms · Computer Science 2016-03-04 Newton Campbell

In recent years, there has been renewed interest in closing the performance gap between state-of-the-art planning solvers and generalized planning (GP), a research area of AI that studies the automated synthesis of algorithmic-like…

Artificial Intelligence · Computer Science 2024-08-05 Alejandro Fernández-Alburquerque , Javier Segovia-Aguas

We consider the problem of computing a lightest derivation of a global structure using a set of weighted rules. A large variety of inference problems in AI can be formulated in this framework. We generalize A* search and heuristics derived…

Artificial Intelligence · Computer Science 2011-10-12 P. F. Felzenszwalb , D. McAllester

The performance of search algorithms for grid-based pathfinding, e.g. A*, critically depends on the heuristic function that is used to focus the search. Recent studies have shown that informed heuristics that take the positions/shapes of…

Machine Learning · Computer Science 2026-03-02 Aleksandr Ananikian , Daniil Drozdov , Konstantin Yakovlev

The A* algorithm is a graph search algorithm which has shown good results in terms of computational complexity for Maximum Likelihood (ML) decoding of tailbiting convolutional codes. The decoding of tailbiting codes with this algorithm is…

Information Theory · Computer Science 2025-01-28 Jorge Ortin , Paloma Garcia , Fernando Gutierrez , Antonio Valdovinos

LAMA is a classical planning system based on heuristic forward search. Its core feature is the use of a pseudo-heuristic derived from landmarks, propositional formulas that must be true in every solution of a planning task. LAMA builds on…

Artificial Intelligence · Computer Science 2014-01-17 Silvia Richter , Matthias Westphal

For rapid growth in technology and automation, human tasks are being taken over by robots as robots have proven to be better with both speed and precision. One of the major and widespread usages of these robots is in the industrial…

Robotics · Computer Science 2020-06-11 Ashutosh Kumar Tiwari , Sandeep Varma Nadimpalli

Cost-guided bottom-up search (BUS) algorithms use a cost function to guide the search to solve program synthesis tasks. In this paper, we show that current state-of-the-art cost-guided BUS algorithms suffer from a common problem: they can…

Machine Learning · Computer Science 2023-10-09 Saqib Ameen , Levi H. S. Lelis

Multiple sequence alignment (MSA) is a ubiquitous problem in computational biology. Although it is NP-hard to find an optimal solution for an arbitrary number of sequences, due to the importance of this problem researchers are trying to…

Artificial Intelligence · Computer Science 2011-09-29 S. Schroedl

Nurse scheduling is a difficult optimization problem with multiple constraints. There is extensive research in the literature solving the problem using meta-heuristics approaches. In this paper, we will investigate an intelligent search…

Artificial Intelligence · Computer Science 2012-10-08 Murphy Choy , Michelle Cheong

The Breadth First Search (BFS) algorithm is the foundation and building block of many higher graph-based operations such as spanning trees, shortest paths and betweenness centrality. The importance of this algorithm increases each day due…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-04-04 Julian Romera

In this paper we look into the problem of planning over hybrid domains, where change can be both discrete and instantaneous, or continuous over time. In addition, it is required that each state on the trajectory induced by the execution of…

Artificial Intelligence · Computer Science 2022-09-30 Miquel Ramirez , Enrico Scala , Patrik Haslum , Sylvie Thiebaux

Search is a central problem in artificial intelligence, and breadth-first search (BFS) and depth-first search (DFS) are the two most fundamental ways to search. In this paper we derive estimates for average BFS and DFS runtime. The average…

Artificial Intelligence · Computer Science 2018-04-13 Tom Everitt , Marcus Hutter

This paper presents a parallelizable variant of the well-known Hierarchical Cooperative A* algorithm (HCA*) for the multi-agent path finding (MAPF) problem. In this variant, all agents initially find their shortest paths disregarding the…

Systems and Control · Electrical Eng. & Systems 2025-02-03 Sreenivasan Ganti , Visnu Srinivasan , Pallavi Ramicetty , Shravan Mohan , Milind Savagaonkar , Shubhashis Sengupta

It is well-known that any admissible unidirectional heuristic search algorithm must expand all states whose $f$-value is smaller than the optimal solution cost when using a consistent heuristic. Such states are called "surely expanded"…

Artificial Intelligence · Computer Science 2017-05-24 Jingwei Chen , Robert C. Holte , Sandra Zilles , Nathan R. Sturtevant

This paper presents and experiments approaches to solve a new bi-objective routing problem called the ring star problem. It consists of locating a simple cycle through a subset of nodes of a graph while optimizing two kinds of cost. The…

Combinatorics · Mathematics 2008-12-18 Arnaud Liefooghe , Laetitia Jourdan , El-Ghazali Talbi

While Large Language Models (LLMs) have recently shown promise in Automated Heuristic Design (AHD), existing approaches typically formulate AHD around constructive priority rules or parameterized local search guidance, thereby restricting…

Artificial Intelligence · Computer Science 2026-02-10 Baoyun Zhao , He Wang , Liang Zeng