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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

This paper presents a parallel random-search method for reducing additive complexity in fast matrix multiplication algorithms with ternary coefficients $\{-1,0,1\}$. The approach replaces expensive exact evaluation with fast heuristic…

Symbolic Computation · Computer Science 2025-12-23 A. I. Perminov

Recent advances in metareasoning for search has shown its usefulness in improving numerous search algorithms. This paper applies rational metareasoning to IDA* when several admissible heuristics are available. The obvious basic approach of…

Artificial Intelligence · Computer Science 2014-11-25 David Tolpin , Oded Betzalel , Ariel Felner , Solomon Eyal Shimony

Recent advancements in bidirectional heuristic search have yielded significant theoretical insights and novel algorithms. While most previous work has concentrated on optimal search methods, this paper focuses on bounded-suboptimal…

Artificial Intelligence · Computer Science 2025-11-14 Shahaf S. Shperberg , Natalie Morad , Lior Siag , Ariel Felner , Dor Atzmon

Stochastic optimization finds a wide range of applications in operations research and management science. However, existing stochastic optimization techniques usually require the information of random samples (e.g., demands in the…

Optimization and Control · Mathematics 2019-04-18 Xi Chen , Qihang Lin , Zizhuo Wang

The progressive hedging algorithm (PHA) is a cornerstone among algorithms for large-scale stochastic programming problems. However, its traditional implementation is hindered by some limitations, including the requirement to solve all…

Optimization and Control · Mathematics 2025-03-13 Di Zhang , Yihang Zhang , Suvrajeet Sen

We present a new algorithm A*+BFHS for solving problems with unit-cost operators where A* and IDA* fail due to memory limitations and/or the existence of many distinct paths between the same pair of nodes. A*+BFHS is based on A* and…

Artificial Intelligence · Computer Science 2021-12-17 Zhaoxing Bu , Richard E. Korf

Many academic disciplines - including information systems, computer science, and operations management - face scheduling problems as important decision making tasks. Since many scheduling problems are NP-hard in the strong sense, there is a…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-05-26 Gerhard Rauchecker , Guido Schryen

Bipartite b-matching is fundamental in algorithm design, and has been widely applied into economic markets, labor markets, etc. These practical problems usually exhibit two distinct features: large-scale and dynamic, which requires the…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-05-13 Xiaotian Hao , Junqi Jin , Jianye Hao , Jin Li , Weixun Wang , Yi Ma , Zhenzhe Zheng , Han Li , Jian Xu , Kun Gai

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

Relaxed models are abstract problem descriptions generated by ignoring constraints that are present in base-level problems. They play an important role in planning and search algorithms, as it has been shown that the length of an optimal…

Artificial Intelligence · Computer Science 2018-03-20 Othar Hansson , Andrew Mayer , Marco Valtorta

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

This paper studies the hierarchical clustering problem, where the goal is to produce a dendrogram that represents clusters at varying scales of a data set. We propose the ParChain framework for designing parallel hierarchical agglomerative…

Data Structures and Algorithms · Computer Science 2022-02-15 Shangdi Yu , Yiqiu Wang , Yan Gu , Laxman Dhulipala , Julian Shun

We present an approximation algorithm that takes a pool of pre-trained models as input and produces from it a cascaded model with similar accuracy but lower average-case cost. Applied to state-of-the-art ImageNet classification models, this…

Machine Learning · Computer Science 2018-02-22 Matthew Streeter

We tackle two long-standing problems related to re-expansions in heuristic search algorithms. For graph search, A* can require $\Omega(2^{n})$ expansions, where $n$ is the number of states within the final $f$ bound. Existing algorithms…

Data Structures and Algorithms · Computer Science 2019-07-31 Malte Helmert , Tor Lattimore , Levi H. S. Lelis , Laurent Orseau , Nathan R. Sturtevant

Anytime heuristic search algorithms try to find a (potentially suboptimal) solution as quickly as possible and then work to find better and better solutions until an optimal solution is obtained or time is exhausted. The most widely-known…

Artificial Intelligence · Computer Science 2023-12-21 Sofia Lemons , Wheeler Ruml , Robert C. Holte , Carlos Linares López

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

We extend Random Access, a fundamental operation that enables efficient search and exploration algorithms, to the modern interactive data systems based on Ranked Retrieval and Similarity Search, where orderings are dynamically defined over…

Data Structures and Algorithms · Computer Science 2026-05-26 Mohsen Dehghankar , Abolfazl Asudeh , Raghav Mittal , Suraj Shetiya , Gautam Das

Emerging location-based systems and data analysis frameworks requires efficient management of spatial data for approximate and exact search. Exact similarity search can be done using space partitioning data structures, such as Kd-tree,…

Databases · Computer Science 2015-11-03 Mohamad Dolatshah , Ali Hadian , Behrouz Minaei-Bidgoli

We present a fast algorithm for approximate Canonical Correlation Analysis (CCA). Given a pair of tall-and-thin matrices, the proposed algorithm first employs a randomized dimensionality reduction transform to reduce the size of the input…

Data Structures and Algorithms · Computer Science 2013-05-03 Haim Avron , Christos Boutsidis , Sivan Toledo , Anastasios Zouzias