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Recent advancements in Large Language Models (LLMs) have successfully employed search-based strategies to enhance code generation. However, existing methods typically rely on static, sparse public test cases for verification, leading to…

Software Engineering · Computer Science 2026-04-14 Qingyao Li , Weiwen Liu , Weinan Zhang , Yong Yu , Bo An

Markov chain Monte Carlo (MCMC) methods are foundational algorithms for Bayesian inference and probabilistic modeling. However, most MCMC algorithms are inherently sequential and their time complexity scales linearly with the sequence…

Computation · Statistics 2025-12-03 David M. Zoltowski , Skyler Wu , Xavier Gonzalez , Leo Kozachkov , Scott W. Linderman

LLM-powered systems require complex multi-step decision-making abilities to solve real-world tasks, yet current planning approaches face a trade-off between the high latency of inference-time search and the limited generalization of…

Artificial Intelligence · Computer Science 2026-04-17 Xin Xie , Dongyun Xue , Wuguannan Yao , Mingxiao Feng , Wengang Zhou , Xiang Qi , Houqiang Li , Peng Zhang

This paper introduces methodology for performing Bayesian inference sequentially on a sequence of posteriors on spaces of different dimensions. We show how this may be achieved through the use of sequential Monte Carlo (SMC) samplers (Del…

Computation · Statistics 2020-06-02 Richard G Everitt , Richard Culliford , Felipe Medina-Aguayo , Daniel J Wilson

In response to the lack of trust in Artificial Intelligence (AI) for sequential planning, we design a Computational Tree Logic-guided large language model (LLM)-based natural language explanation framework designed for the Monte Carlo Tree…

Artificial Intelligence · Computer Science 2025-05-02 Ziyan An , Xia Wang , Hendrik Baier , Zirong Chen , Abhishek Dubey , Taylor T. Johnson , Jonathan Sprinkle , Ayan Mukhopadhyay , Meiyi Ma

The ability of a robot to plan complex behaviors with real-time computation, rather than adhering to predesigned or offline-learned routines, alleviates the need for specialized algorithms or training for each problem instance. Monte Carlo…

Robotics · Computer Science 2024-12-17 Benjamin Riviere , John Lathrop , Soon-Jo Chung

Learning to walk over a graph towards a target node for a given query and a source node is an important problem in applications such as knowledge base completion (KBC). It can be formulated as a reinforcement learning (RL) problem with a…

Artificial Intelligence · Computer Science 2018-12-19 Yelong Shen , Jianshu Chen , Po-Sen Huang , Yuqing Guo , Jianfeng Gao

In this paper, we address a method that integrates reinforcement learning into the Monte Carlo tree search to boost online path planning under fully observable environments for automated parking tasks. Sampling-based planning methods under…

Artificial Intelligence · Computer Science 2025-01-03 Xinlong Zheng , Xiaozhou Zhang , Donghao Xu

Recently there have been exciting developments in Monte Carlo methods, with the development of new MCMC and sequential Monte Carlo (SMC) algorithms which are based on continuous-time, rather than discrete-time, Markov processes. This has…

Computation · Statistics 2020-09-29 Paul Fearnhead , Joris Bierkens , Murray Pollock , Gareth O Roberts

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

Even after fine-tuning and reinforcement learning, large language models (LLMs) can be difficult, if not impossible, to control reliably with prompts alone. We propose a new inference-time approach to enforcing syntactic and semantic…

Artificial Intelligence · Computer Science 2023-11-28 Alexander K. Lew , Tan Zhi-Xuan , Gabriel Grand , Vikash K. Mansinghka

Random sampling of graph partitions under constraints has become a popular tool for evaluating legislative redistricting plans. Analysts detect partisan gerrymandering by comparing a proposed redistricting plan with an ensemble of sampled…

Applications · Statistics 2023-11-09 Cory McCartan , Kosuke Imai

Decentralized Monte Carlo Tree Search (Dec-MCTS) is widely used for cooperative multi-agent planning but struggles in sparse or skewed reward environments. We introduce Coordinated Boltzmann MCTS (CB-MCTS), which replaces deterministic UCT…

Multiagent Systems · Computer Science 2026-03-11 Nhat D. A. Nguyen , Duong D. Nguyen , Gianluca Rizzo , Hung X. Nguyen

Resilience is emerging as a key requirement for next-generation wireless communication systems, requiring the ability to assess and control rare, path-dependent failure events arising from sequential degradation and delayed recovery. In…

Systems and Control · Electrical Eng. & Systems 2026-04-02 Onel Luis Alcaraz López

This study explores how to enhance the reasoning capabilities of large language models (LLMs) in knowledge base question answering (KBQA) by leveraging Monte Carlo Tree Search (MCTS). Semantic parsing-based KBQA methods are particularly…

Computation and Language · Computer Science 2025-02-20 Guanming Xiong , Haochen Li , Wen Zhao

In the world of embedded systems, optimizing actions with the uncertain costs of multiple resources is a complex challenge. Existing methods include plan building based on Monte Carlo Tree Search (MCTS), an approach that thrives in multiple…

Systems and Control · Electrical Eng. & Systems 2024-07-18 Franco Cordeiro , Samuel Tardieu , Laurent Pautet

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

Monte Carlo Tree Search (MCTS) methods have proven powerful in planning for sequential decision-making problems such as Go and video games, but their performance can be poor when the planning depth and sampling trajectories are limited or…

Artificial Intelligence · Computer Science 2016-04-26 Xiaoxiao Guo , Satinder Singh , Richard Lewis , Honglak Lee

Many algorithms have been parallelized successfully on the Intel Xeon Phi coprocessor, especially those with regular, balanced, and predictable data access patterns and instruction flows. Irregular and unbalanced algorithms are harder to…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-07-17 S. Ali Mirsoleimani , Aske Plaat , Jaap van den Herik , Jos Vermaseren

Sequential Monte Carlo (SMC) methods, also known as particle filters, constitute a class of algorithms used to approximate expectations with respect to a sequence of probability distributions as well as the normalising constants of those…

Computation · Statistics 2026-01-14 Axel Finke , Arnaud Doucet , Adam M. Johansen
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