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Sorting is a foundational problem in computer science that is typically employed on sequences or total orders. More recently, a more general form of sorting on partially ordered sets (or posets), where some pairs of elements are…

Data Structures and Algorithms · Computer Science 2022-06-03 Jishnu Roychoudhury , Jatin Yadav

In this article we propose a heuristic algorithm to explore search space trees associated with instances of combinatorial optimization problems. The algorithm is based on Monte Carlo tree search, a popular algorithm in game playing that is…

Artificial Intelligence · Computer Science 2022-11-17 Jorik Jooken , Pieter Leyman , Tony Wauters , Patrick De Causmaecker

We consider the popular tree-based search strategy within the framework of reinforcement learning, the Monte Carlo Tree Search (MCTS), in the context of finite-horizon Markov decision process. We propose a dynamic sampling tree policy that…

Artificial Intelligence · Computer Science 2023-05-09 Gongbo Zhang , Yijie Peng , Yilong Xu

We give an O(sqrt n log n)-query quantum algorithm for evaluating size-n AND-OR formulas. Its running time is poly-logarithmically greater after efficient preprocessing. Unlike previous approaches, the algorithm is based on a quantum walk…

Quantum Physics · Physics 2011-10-11 Ben W. Reichardt

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

We present a deterministic algorithm for solving a wide range of dynamic programming problems in trees in $O(\log D)$ rounds in the massively parallel computation model (MPC), with $O(n^\delta)$ words of local memory per machine, for any…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-05-08 Chetan Gupta , Rustam Latypov , Yannic Maus , Shreyas Pai , Simo Särkkä , Jan Studený , Jukka Suomela , Jara Uitto , Hossein Vahidi

Search-based procedural content generation uses stochastic global optimization algorithms to search for game content. However, standard tree search algorithms can be competitive with evolution on some optimization problems. We investigate…

Artificial Intelligence · Computer Science 2020-08-14 Debosmita Bhaumik , Ahmed Khalifa , Michael Cerny Green , Julian Togelius

The key to Black-Box Optimization is to efficiently search through input regions with potentially widely-varying numerical properties, to achieve low-regret descent and fast progress toward the optima. Monte Carlo Tree Search (MCTS) methods…

Machine Learning · Computer Science 2022-11-03 Yaoguang Zhai , Sicun Gao

Motion planning is challenging when it comes to the case of imperfect state information. Decision should be made based on belief state which evolves according to the noise from the system dynamics and sensor measurement. In this paper, we…

Robotics · Computer Science 2018-10-02 Ke Sun , Vijay Kumar

In this work, we define the problem of finding an optimal query plan as finding spanning trees with low costs. This approach empowers the utilization of a series of spanning tree algorithms, thereby enabling systematic exploration of the…

Databases · Computer Science 2024-03-08 Yesdaulet Izenov , Asoke Datta , Brian Tsan , Abylay Amanbayev , Florin Rusu

A widely used method for determining the similarity of two labeled trees is to compute a maximum agreement subtree of the two trees. Previous work on this similarity measure is only concerned with the comparison of labeled trees of two…

Computer Vision and Pattern Recognition · Computer Science 2007-05-23 Ming-Yang Kao , Tak-Wah Lam , Wing-Kin Sung , Hing-Fung Ting

Efficient index structures for fast approximate nearest neighbor queries are required in many applications such as recommendation systems. In high-dimensional spaces, many conventional methods suffer from excessive usage of memory and slow…

Adaptive sampling and planning in robotic environmental monitoring are challenging when the target environmental process varies over space and time. The underlying environmental dynamics require the planning module to integrate future…

Robotics · Computer Science 2023-06-19 Weizhe Chen , Lantao Liu

Mappings to structured output spaces (strings, trees, partitions, etc.) are typically learned using extensions of classification algorithms to simple graphical structures (eg., linear chains) in which search and parameter estimation can be…

Machine Learning · Computer Science 2009-07-07 Hal Daumé , Daniel Marcu

Dynamic resource allocation (DRA) problems are an important class of dynamic stochastic optimization problems that arise in a variety of important real-world applications. DRA problems are notoriously difficult to solve to optimality since…

Optimization and Control · Mathematics 2014-05-22 Dimitris Bertsimas , J. Daniel Griffith , Vishal Gupta , Mykel J. Kochenderfer , Velibor V. Mišić , Robert Moss

This paper presents an efficient algorithm for retrieving from a database of trees, all trees that match a given query tree approximately, that is, within a certain error tolerance. It has natural language processing applications in…

cmp-lg · Computer Science 2008-02-03 Kemal Oflazer

Tree-based models are increasingly popular due to their ability to identify complex relationships that are beyond the scope of parametric models. Survival tree methods adapt these models to allow for the analysis of censored outcomes, which…

Machine Learning · Computer Science 2020-12-09 Dimitris Bertsimas , Jack Dunn , Emma Gibson , Agni Orfanoudaki

We present efficient data structures for submatrix maximum queries in Monge matrices and Monge partial matrices. For $n\times n$ Monge matrices, we give a data structure that requires O(n) space and answers submatrix maximum queries in…

Data Structures and Algorithms · Computer Science 2017-10-13 Pawel Gawrychowski , Shay Mozes , Oren Weimann

Monte Carlo Tree Search (MCTS) algorithms have achieved great success on many challenging benchmarks (e.g., Computer Go). However, they generally require a large number of rollouts, making their applications costly. Furthermore, it is also…

Machine Learning · Computer Science 2020-02-27 Anji Liu , Jianshu Chen , Mingze Yu , Yu Zhai , Xuewen Zhou , Ji Liu

The quartet distance is a measure of similarity used to compare two unrooted phylogenetic trees on the same set of $n$ leaves, defined as the number of subsets of four leaves related by a different topology in both trees. After a series of…

Data Structures and Algorithms · Computer Science 2020-12-03 Bartłomiej Dudek , Paweł Gawrychowski
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