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We propose MDP-GapE, a new trajectory-based Monte-Carlo Tree Search algorithm for planning in a Markov Decision Process in which transitions have a finite support. We prove an upper bound on the number of calls to the generative models…

Machine Learning · Computer Science 2020-06-11 Anders Jonsson , Emilie Kaufmann , Pierre Ménard , Omar Darwiche Domingues , Edouard Leurent , Michal Valko

Monte Carlo Tree Search (MCTS) has emerged as a powerful tool for decision-making in robotics, enabling efficient exploration of large search spaces. However, traditional MCTS methods struggle in environments characterized by high…

Robotics · Computer Science 2025-03-10 Xibai Wang

We solve the problem of finding interspersed maximal repeats using a suffix array construction. As it is well known, all the functionality of suffix trees can be handled by suffix arrays, gaining practicality. Our solution improves the…

Data Structures and Algorithms · Computer Science 2013-04-03 Veronica Becher , Alejandro Deymonnaz , Pablo Ariel Heiber

Recent work proposed the UCTMAXSAT algorithm to address Maximum Satisfiability Problems (MaxSAT) and shown improved performance over pure Stochastic Local Search algorithms (SLS). UCTMAXSAT is based on Monte Carlo Tree Search but it uses…

Artificial Intelligence · Computer Science 2023-02-28 Hui Wang , Abdallah Saffidine , Tristan Cazenave

Application of the turbo principle to multiuser decoding results in an exchange of probability distributions between two sets of constraints. Firstly, constraints imposed by the multiple-access channel, and secondly, individual constraints…

Information Theory · Computer Science 2007-07-13 Adriel Kind , Alex Grant

In this work we study a well-known and challenging problem of Multi-agent Pathfinding, when a set of agents is confined to a graph, each agent is assigned a unique start and goal vertices and the task is to find a set of collision-free…

Artificial Intelligence · Computer Science 2023-07-26 Yelisey Pitanov , Alexey Skrynnik , Anton Andreychuk , Konstantin Yakovlev , Aleksandr Panov

Greedy heuristics may be attuned by looking ahead for each possible choice, in an approach called the rollout or Pilot method. These methods may be seen as meta-heuristics that can enhance (any) heuristic solution, by repetitively modifying…

Data Structures and Algorithms · Computer Science 2012-10-02 Thomas Philip Runarsson , Marc Schoenauer , Michèle Sebag

To reduce global carbon emissions and limit climate change, controlling energy consumption in buildings is an important piece of the puzzle. Here, we specifically focus on using a demand response (DR) algorithm to limit the energy…

Systems and Control · Electrical Eng. & Systems 2024-05-22 Fabio Pavirani , Gargya Gokhale , Bert Claessens , Chris Develder

A Monte-Carlo algorithm for discrete statistical models that combines the full power of the Belief Propagation algorithm with the advantages of a detailed-balanced heat bath approach is presented. A sub-tree inside the factor graph is first…

Statistical Mechanics · Physics 2014-07-02 Aurélien Decelle , Florent Krzakala

We consider Monte-Carlo Tree Search (MCTS) applied to Markov Decision Processes (MDPs) and Partially Observable MDPs (POMDPs), and the well-known Upper Confidence bound for Trees (UCT) algorithm. In UCT, a tree with nodes (states) and edges…

Artificial Intelligence · Computer Science 2020-07-14 Tuan Dam , Pascal Klink , Carlo D'Eramo , Jan Peters , Joni Pajarinen

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…

Non-monotone object rearrangement planning in confined spaces such as cabinets and shelves is a widely occurring but challenging problem in robotics. Both the robot motion and the available regions for object relocation are highly…

Robotics · Computer Science 2024-08-09 Hanwen Ren , Ahmed H. Qureshi

Model-based reinforcement learning (RL) methods that leverage search are responsible for many milestone breakthroughs in RL. Sequential Monte Carlo (SMC) recently emerged as an alternative to the Monte Carlo Tree Search (MCTS) algorithm…

Machine Learning · Computer Science 2026-05-22 Yaniv Oren , Joery A. de Vries , Pascal R. van der Vaart , Matthijs T. J. Spaan , Wendelin Böhmer

To this day, a variety of approaches for providing local interpretability of black-box machine learning models have been introduced. Unfortunately, all of these methods suffer from one or more of the following deficiencies: They are either…

Machine Learning · Computer Science 2022-03-08 Yiran Huang , Nicole Schaal , Michael Hefenbrock , Yexu Zhou , Till Riedel , Likun Fang , Michael Beigl

Reinforcement learning (RL) with tree search has demonstrated superior performance in traditional reasoning tasks. Compared to conventional independent chain sampling strategies with outcome supervision, tree search enables better…

Machine Learning · Computer Science 2025-06-16 Zhenyu Hou , Ziniu Hu , Yujiang Li , Rui Lu , Jie Tang , Yuxiao Dong

We study how to efficiently combine formal methods, Monte Carlo Tree Search (MCTS), and deep learning in order to produce high-quality receding horizon policies in large Markov Decision processes (MDPs). In particular, we use model-checking…

Artificial Intelligence · Computer Science 2023-08-16 Debraj Chakraborty , Damien Busatto-Gaston , Jean-François Raskin , Guillermo A. Pérez

Monte-Carlo Tree Search (MCTS) methods, such as Upper Confidence Bound applied to Trees (UCT), are instrumental to automated planning techniques. However, UCT can be slow to explore an optimal action when it initially appears inferior to…

Artificial Intelligence · Computer Science 2024-04-12 Michael Painter , Mohamed Baioumy , Nick Hawes , Bruno Lacerda

While chain-of-thought prompting with Best-of-N (BoN) selection has become popular for mathematical reasoning in large language models (LLMs), its linear structure fails to capture the branching and exploratory nature of complex…

Machine Learning · Computer Science 2025-10-24 Tristan Cinquin , Geoff Pleiss , Agustinus Kristiadi

The goal of protein design is to generate amino acid sequences that fold into functional structures with desired properties. Prior methods combining autoregressive language models with Monte Carlo Tree Search (MCTS) struggle with long-range…

Machine Learning · Computer Science 2026-02-25 Xuefeng Liu , Mingxuan Cao , Songhao Jiang , Xiao Luo , Xiaotian Duan , Mengdi Wang , Tobin R. Sosnick , Jinbo Xu , Rick Stevens

Diverse, top-k, and top-quality planning are concerned with the generation of sets of solutions to sequential decision problems. Previously this area has been the domain of classical planners that require a symbolic model of the problem…

Artificial Intelligence · Computer Science 2023-08-28 Lyndon Benke , Tim Miller , Michael Papasimeon , Nir Lipovetzky
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