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Efficiently solving problems with large action spaces using A* search remains a significant challenge. This is because, for each iteration of A* search, the number of nodes generated and the number of heuristic function applications grow…

Artificial Intelligence · Computer Science 2025-10-03 Forest Agostinelli , Shahaf S. Shperberg , Alexander Shmakov , Stephen McAleer , Roy Fox , Pierre Baldi

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

Combining Large Language Models (LLMs) with heuristic search algorithms like A* holds the promise of enhanced LLM reasoning and scalable inference. To accelerate training and reduce computational demands, we investigate the coreset…

Artificial Intelligence · Computer Science 2024-10-25 Devaansh Gupta , Boyang Li

With the advent of machine learning, there have been several recent attempts to learn effective and generalizable heuristics. Local Heuristic A* (LoHA*) is one recent method that instead of learning the entire heuristic estimate, learns a…

Robotics · Computer Science 2024-05-07 Rishi Veerapaneni , Jonathan Park , Muhammad Suhail Saleem , Maxim Likhachev

The obvious way to use several admissible heuristics in A* is to take their maximum. In this paper we aim to reduce the time spent on computing heuristics. We discuss Lazy A*, a variant of A* where heuristics are evaluated lazily: only when…

Artificial Intelligence · Computer Science 2013-05-23 David Tolpin , Tal Beja , Solomon Eyal Shimony , Ariel Felner , Erez Karpas

Path finding in graphs is one of the most studied classes of problems in computer science. In this context, search algorithms are often extended with heuristics for a more efficient search of target nodes. In this work we combine recent…

Artificial Intelligence · Computer Science 2022-04-20 Danilo Numeroso , Davide Bacciu , Petar Veličković

The A* algorithm is commonly used to solve NP-hard combinatorial optimization problems. When provided with a completely informed heuristic function, A* solves many NP-hard minimum-cost path problems in time polynomial in the branching…

Artificial Intelligence · Computer Science 2022-12-09 Sumedh Pendurkar , Taoan Huang , Sven Koenig , Guni Sharon

Greedy best-first search (GBFS) and A* search (A*) are popular algorithms for path-finding on large graphs. Both use so-called heuristic functions, which estimate how close a vertex is to the goal. While heuristic functions have been…

Machine Learning · Computer Science 2022-05-25 Shinsaku Sakaue , Taihei Oki

We consider the problem of optimal planning in stochastic domains with resource constraints, where the resources are continuous and the choice of action at each step depends on resource availability. We introduce the HAO* algorithm, a…

Artificial Intelligence · Computer Science 2014-01-16 Nicolas Meuleau , Emmanuel Benazera , Ronen I. Brafman , Eric A. Hansen , Mausam

In recent years, there has been growing interest in utilizing modern machine learning techniques to learn heuristic functions for forward search algorithms. Despite this, there has been little theoretical understanding of what they should…

Artificial Intelligence · Computer Science 2025-01-07 Carlos Núñez-Molina , Masataro Asai , Pablo Mesejo , Juan Fernández-Olivares

In unstructured environments like parking lots or construction sites, due to the large search-space and kinodynamic constraints of the vehicle, it is challenging to achieve real-time planning. Several state-of-the-art planners utilize…

Robotics · Computer Science 2023-07-18 Bhargav Adabala , Zlatan Ajanović

Graph search planning algorithms for navigation typically rely heavily on heuristics to efficiently plan paths. As a result, while such approaches require no training phase and can directly plan long horizon paths, they often require…

Robotics · Computer Science 2025-07-29 Rishi Veerapaneni , Muhammad Suhail Saleem , Maxim Likhachev

Heuristic functions are essential to the performance of tree search algorithms such as A*, where their accuracy and efficiency directly impact search outcomes. Traditionally, such heuristics are handcrafted, requiring significant expertise.…

Artificial Intelligence · Computer Science 2026-01-28 Thomas Bömer , Nico Koltermann , Max Disselnmeyer , Bastian Amberg , Anne Meyer

Designing good heuristic functions for graph search requires adequate domain knowledge. It is often easy to design heuristics that perform well and correlate with the underlying true cost-to-go values in certain parts of the search space…

Artificial Intelligence · Computer Science 2025-09-01 Ramkumar Natarajan , Muhammad Suhail Saleem , William Xiao , Sandip Aine , Howie Choset , Maxim Likhachev

The use of a policy and a heuristic function for guiding search can be quite effective in adversarial problems, as demonstrated by AlphaGo and its successors, which are based on the PUCT search algorithm. While PUCT can also be used to…

Artificial Intelligence · Computer Science 2021-03-23 Laurent Orseau , Levi H. S. Lelis

Heuristic functions are central to the performance of search algorithms such as A-star, where admissibility - the property of never overestimating the true shortest-path cost - guarantees solution optimality. Recent deep learning approaches…

Machine Learning · Computer Science 2026-02-18 Ehsan Futuhi , Nathan R. Sturtevant

We describe how to convert the heuristic search algorithm A* into an anytime algorithm that finds a sequence of improved solutions and eventually converges to an optimal solution. The approach we adopt uses weighted heuristic search to find…

Artificial Intelligence · Computer Science 2011-10-13 E. A. Hansen , R. Zhou

Many applications of large language models (LLMs) require deductive reasoning, yet models frequently produce incorrect or redundant inference steps. We frame natural language inference as a search problem where the final answer is the valid…

Artificial Intelligence · Computer Science 2026-05-26 Andreas Opedal , Francesco Ignazio Re , Abulhair Saparov , Mrinmaya Sachan , Bernhard Schölkopf , Ryan Cotterell

Real-time heuristic search is a popular model of acting and learning in intelligent autonomous agents. Learning real-time search agents improve their performance over time by acquiring and refining a value function guiding the application…

Artificial Intelligence · Computer Science 2007-05-23 Vadim Bulitko

Path planning is a fundamental scientific problem in robotics and autonomous navigation, requiring the derivation of efficient routes from starting to destination points while avoiding obstacles. Traditional algorithms like A* and its…

Robotics · Computer Science 2025-04-10 Silin Meng , Yiwei Wang , Cheng-Fu Yang , Nanyun Peng , Kai-Wei Chang
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