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A Monte Carlo algorithm is said to be adaptive if it automatically calibrates its current proposal distribution using past simulations. The choice of the parametric family that defines the set of proposal distributions is critical for good…

Statistics Theory · Mathematics 2011-11-11 Christian Schäfer , Nicolas Chopin

Many robotic tasks, such as inverse kinematics, motion planning, and optimal control, can be formulated as optimization problems. Solving these problems involves addressing nonlinear kinematics, complex contact dynamics, long-horizon…

Robotics · Computer Science 2025-09-10 Teng Xue , Yan Zhang , Amirreza Razmjoo , Sylvain Calinon

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

We tackle the problem of goal-directed graph construction: given a starting graph, a budget of modifications, and a global objective function, the aim is to find a set of edges whose addition to the graph achieves the maximum improvement in…

Artificial Intelligence · Computer Science 2022-02-17 Victor-Alexandru Darvariu , Stephen Hailes , Mirco Musolesi

By analogy with Monte Carlo algorithms, we propose new strategies for design and redesign of small molecule libraries in high-throughput experimentation, or combinatorial chemistry. Several Monte Carlo methods are examined, including…

Statistical Mechanics · Physics 2007-05-23 Ligang Chen , Michael W. Deem

In this paper we explore the application of simultaneous move Monte Carlo Tree Search (MCTS) based online framework for tactical maneuvering between two unmanned aircrafts. Compared to other techniques, MCTS enables efficient search over…

Artificial Intelligence · Computer Science 2020-09-21 Kunal Srivastava , Amit Surana

Consensus maximization is widely used for robust fitting in computer vision. However, solving it exactly, i.e., finding the globally optimal solution, is intractable. A* tree search, which has been shown to be fixed-parameter tractable, is…

Computer Vision and Pattern Recognition · Computer Science 2019-08-27 Zhipeng Cai , Tat-Jun Chin , Vladlen Koltun

Decision Trees are prominent prediction models for interpretable Machine Learning. They have been thoroughly researched, mostly in the batch setting with a fixed labelled dataset, leading to popular algorithms such as C4.5, ID3 and CART.…

Machine Learning · Computer Science 2024-06-24 Ayman Chaouki , Jesse Read , Albert Bifet

As the field of data science continues to grow, there will be an ever-increasing demand for tools that make machine learning accessible to non-experts. In this paper, we introduce the concept of tree-based pipeline optimization for…

Neural and Evolutionary Computing · Computer Science 2016-03-22 Randal S. Olson , Nathan Bartley , Ryan J. Urbanowicz , Jason H. Moore

Recombinant binomial trees are binary trees where each non-leaf node has two child nodes, but adjacent parents share a common child node. Such trees arise in finance when pricing an option. For example, valuation of a European option can be…

Computation · Statistics 2018-10-30 Sai K. Popuri , Andrew M. Raim , Nagaraj K. Neerchal , Matthias K. Gobbert

We present a simple $O(n^4)$-time algorithm for computing optimal search trees with two-way comparisons. The only previous solution to this problem, by Anderson et al., has the same running time, but is significantly more complicated and is…

Data Structures and Algorithms · Computer Science 2022-02-14 Marek Chrobak , Mordecai Golin , J. Ian Munro , Neal E. Young

Deep research agents, which synthesize information across diverse sources, are significantly constrained by the sequential nature of reasoning. This bottleneck results in high latency, poor runtime adaptability, and inefficient resource…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-03-31 Lunyiu Nie , Nedim Lipka , Ryan A. Rossi , Swarat Chaudhuri

A plethora of problems in AI, engineering and the sciences are naturally formalized as inference in discrete probabilistic models. Exact inference is often prohibitively expensive, as it may require evaluating the (unnormalized) target…

Machine Learning · Computer Science 2019-10-16 Lars Buesing , Nicolas Heess , Theophane Weber

Decision tree learning is a popular approach for classification and regression in machine learning and statistics, and Bayesian formulations---which introduce a prior distribution over decision trees, and formulate learning as posterior…

Machine Learning · Statistics 2013-08-26 Balaji Lakshminarayanan , Daniel M. Roy , Yee Whye Teh

Polly is the LLVM project's polyhedral loop nest optimizer. Recently, user-directed loop transformation pragmas were proposed based on LLVM/Clang and Polly. The search space exposed by the transformation pragmas is a tree, wherein each node…

Programming Languages · Computer Science 2021-05-12 Jaehoon Koo , Prasanna Balaprakash , Michael Kruse , Xingfu Wu , Paul Hovland , Mary Hall

Monte Carlo tree search (MCTS) is one of the most capable online search algorithms for sequential planning tasks, with significant applications in areas such as resource allocation and transit planning. Despite its strong performance in…

Artificial Intelligence · Computer Science 2024-10-31 Ziyan An , Hendrik Baier , Abhishek Dubey , Ayan Mukhopadhyay , Meiyi Ma

We introduce a new Monte Carlo method by incorporating a guided distribution function to the conventional Monte Carlo method. In this way, the efficiency of Monte Carlo methods is drastically improved. To further speed up the algorithm, we…

Computational Physics · Physics 2009-11-07 S. P. Li

We propose Monte Carlo Permutation Search (MCPS), a general-purpose Monte Carlo Tree Search (MCTS) algorithm that improves upon the GRAVE algorithm. MCPS is relevant when deep reinforcement learning is not an option or when the computing…

Machine Learning · Computer Science 2026-05-27 Tristan Cazenave

Monte Carlo Tree Search (MCTS) is a branch of stochastic modeling that utilizes decision trees for optimization, mostly applied to artificial intelligence (AI) game players. This project imagines a game in which an AI player searches for a…

Machine Learning · Computer Science 2020-12-01 Elana Kozak , Scott Hottovy

This article presents MCTS-BN, an adaptation of the Monte Carlo Tree Search (MCTS) algorithm for the structural learning of Bayesian Networks (BNs). Initially designed for game tree exploration, MCTS has been repurposed to address the…

Machine Learning · Computer Science 2025-02-04 Jorge D. Laborda , Pablo Torrijos , José M. Puerta , José A. Gámez
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