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In many applications of computer algebra large expressions must be simplified to make repeated numerical evaluations tractable. Previous works presented heuristically guided improvements, e.g., for Horner schemes. The remaining expression…

Artificial Intelligence · Computer Science 2013-12-04 Ben Ruijl , Jos Vermaseren , Aske Plaat , Jaap van den Herik

Sequential optimization methods are often confronted with the curse of dimensionality in high-dimensional spaces. Current approaches under the Gaussian process framework are still burdened by the computational complexity of tracking…

Machine Learning · Computer Science 2024-01-08 Zeji Yi , Yunyue Wei , Chu Xin Cheng , Kaibo He , Yanan Sui

Monte Carlo Tree Search (MCTS) has proven highly effective in solving complex planning tasks by balancing exploration and exploitation using Upper Confidence Bound for Trees (UCT). However, existing work have not considered MCTS-based…

Artificial Intelligence · Computer Science 2025-02-04 Zuyuan Zhang , Tian Lan

Generative Flow Networks (GFlowNets) treat sampling from distributions over compositional discrete spaces as a sequential decision-making problem, training a stochastic policy to construct objects step by step. Recent studies have revealed…

Machine Learning · Computer Science 2024-06-21 Nikita Morozov , Daniil Tiapkin , Sergey Samsonov , Alexey Naumov , Dmitry Vetrov

This paper introduces the MCT Self-Refine (MCTSr) algorithm, an innovative integration of Large Language Models (LLMs) with Monte Carlo Tree Search (MCTS), designed to enhance performance in complex mathematical reasoning tasks. Addressing…

Artificial Intelligence · Computer Science 2024-06-14 Di Zhang , Xiaoshui Huang , Dongzhan Zhou , Yuqiang Li , Wanli Ouyang

Monte Carlo Tree Search is a cornerstone algorithm for online planning, and its root-parallel variant is widely used when wall clock time is limited but best performance is desired. In environments with continuous action spaces, how to best…

Artificial Intelligence · Computer Science 2025-12-11 Junlin Xiao , Victor-Alexandru Darvariu , Bruno Lacerda , Nick Hawes

While plan-and-infill decoding in Masked Diffusion Models (MDMs) shows promise for mathematical and code reasoning, performance remains highly sensitive to slot infilling order, often yielding substantial output variance. We introduce…

Artificial Intelligence · Computer Science 2026-05-28 Joshua Ong Jun Leang , Yu Zhao , Mihaela Cătălina Stoian , Wenda Li , Shay B. Cohen , Eleonora Giunchiglia

Local Bayesian optimization is a promising practical approach to solve the high dimensional black-box function optimization problem. Among them is the approximated gradient class of methods, which implements a strategy similar to gradient…

Machine Learning · Computer Science 2024-05-27 Zheyi Fan , Wenyu Wang , Szu Hui Ng , Qingpei Hu

This article proposes a method for automated service selection to improve treatment efficacy and reduce re-hospitalization costs. A predictive model is developed using the National Home and Hospice Care Survey (NHHCS) dataset to quantify…

Artificial Intelligence · Computer Science 2020-02-13 Cliff Laschet , Jorn op den Buijs , Mark H. M. Winands , Steffen Pauws

The increasing use of autonomous robot systems in hazardous environments underscores the need for efficient search and rescue operations. Despite significant advancements, existing literature on object search often falls short in overcoming…

Robotics · Computer Science 2024-04-08 Matthew Collins , Jared J. Beard , Nicholas Ohi , Yu Gu

Tackling simulation optimization problems with non-convex objective functions remains a fundamental challenge in operations research. In this paper, we propose a class of random search algorithms, called Regular Tree Search, which…

Optimization and Control · Mathematics 2025-06-24 Du-Yi Wang , Guo Liang , Guangwu Liu , Kun Zhang

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

We present MBAPPE, a novel approach to motion planning for autonomous driving combining tree search with a partially-learned model of the environment. Leveraging the inherent explainable exploration and optimization capabilities of the…

Robotics · Computer Science 2023-09-18 Raphael Chekroun , Thomas Gilles , Marin Toromanoff , Sascha Hornauer , Fabien Moutarde

We analyze a tree search problem with an underlying Markov decision process, in which the goal is to identify the best action at the root that achieves the highest cumulative reward. We present a new tree policy that optimally allocates a…

Systems and Control · Electrical Eng. & Systems 2020-09-29 Yunchuan Li , Michael C. Fu , Jie Xu

This work proposes a process for efficiently searching over combinations of individual object 6D pose hypotheses in cluttered scenes, especially in cases involving occlusions and objects resting on each other. The initial set of candidate…

Robotics · Computer Science 2017-10-25 Chaitanya Mitash , Abdeslam Boularias , Kostas E. Bekris

Bayesian model-based reinforcement learning is a formally elegant approach to learning optimal behaviour under model uncertainty, trading off exploration and exploitation in an ideal way. Unfortunately, finding the resulting Bayes-optimal…

Machine Learning · Computer Science 2015-03-20 Arthur Guez , David Silver , Peter Dayan

In recent years there has been much interest in the Monte Carlo tree search algorithm, a new, adaptive, randomized optimization algorithm. In fields as diverse as Artificial Intelligence, Operations Research, and High Energy Physics,…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-05-17 S. Ali Mirsoleimani , Aske Plaat , Jaap van den Herik , Jos Vermaseren

Physics-based simulations and learning-based models are vital for complex robotics tasks like deformable object manipulation and liquid handling. However, these models often struggle with accuracy due to epistemic uncertainty or the…

Robotics · Computer Science 2025-07-29 Marco Faroni , Carlo Odesco , Andrea Zanchettin , Paolo Rocco

The combination of Monte Carlo tree search and neural networks has revolutionized online planning. As neural network approximations are often imperfect, we ask whether uncertainty estimates about the network outputs could be used to improve…

Artificial Intelligence · Computer Science 2024-06-05 Nir Greshler , David Ben Eli , Carmel Rabinovitz , Gabi Guetta , Liran Gispan , Guy Zohar , Aviv Tamar

Monte Carlo Tree Search (MCTS) algorithms perform simulation-based search to improve policies online. During search, the simulation policy is adapted to explore the most promising lines of play. MCTS has been used by state-of-the-art…

Machine Learning · Computer Science 2019-04-09 Thomas Anthony , Robert Nishihara , Philipp Moritz , Tim Salimans , John Schulman
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