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Markov random fields area popular model for high-dimensional probability distributions. Over the years, many mathematical, statistical and algorithmic problems on them have been studied. Until recently, the only known algorithms for…

Machine Learning · Computer Science 2017-06-01 Linus Hamilton , Frederic Koehler , Ankur Moitra

Integrated task and motion planning (TAMP) is desirable for generalized autonomy robots but it is challenging at the same time. TAMP requires the planner to not only search in both the large symbolic task space and the high-dimension motion…

Robotics · Computer Science 2021-10-18 Tianyu Ren , Georgia Chalvatzaki , Jan Peters

Random forest (RF) is one of the most popular methods for estimating regression functions. The local nature of the RF algorithm, based on intra-node means and variances, is ideal when errors are i.i.d. For dependent error processes like…

Machine Learning · Statistics 2021-06-29 Arkajyoti Saha , Sumanta Basu , Abhirup Datta

Recent advances in reinforcement learning (RL) have significantly enhanced the agentic capabilities of large language models (LLMs). In long-term and multi-turn agent tasks, existing approaches driven solely by outcome rewards often suffer…

Machine Learning · Computer Science 2026-03-19 Yuxiang Ji , Ziyu Ma , Yong Wang , Guanhua Chen , Xiangxiang Chu , Liaoni Wu

Sampling-based algorithms solve the path planning problem by generating random samples in the search-space and incrementally growing a connectivity graph or a tree. Conventionally, the sampling strategy used in these algorithms is biased…

Robotics · Computer Science 2021-02-26 Sagar Suhas Joshi , Seth Hutchinson , Panagiotis Tsiotras

In this work we introduce Natural Segmentation and Matching (NSM), an algorithm for reliable localization, using laser, in both urban and natural environments. Current state-of-the-art global approaches do not generalize well to…

Robotics · Computer Science 2018-09-17 Georgi Tinchev , Simona Nobili , Maurice Fallon

Integer Linear Programs (ILPs) are powerful tools for modeling and solving a large number of combinatorial optimization problems. Recently, it has been shown that Large Neighborhood Search (LNS), as a heuristic algorithm, can find high…

Artificial Intelligence · Computer Science 2024-01-17 Taoan Huang , Aaron Ferber , Yuandong Tian , Bistra Dilkina , Benoit Steiner

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

MAP is the problem of finding a most probable instantiation of a set of variables in a Bayesian network, given evidence. Unlike computing marginals, posteriors, and MPE (a special case of MAP), the time and space complexity of MAP is not…

Artificial Intelligence · Computer Science 2013-01-14 James D. Park , Adnan Darwiche

Recent advancements in large language models (LLMs) have spurred growing interest in automatic theorem proving using Lean4, where effective tree search methods are crucial for navigating the underlying large proof search spaces. While the…

Artificial Intelligence · Computer Science 2025-10-10 Ran Xin , Chenguang Xi , Jie Yang , Feng Chen , Hang Wu , Xia Xiao , Yifan Sun , Shen Zheng , Kai Shen

Symbolic indefinite integration in Computer Algebra Systems such as Maple involves selecting the most effective algorithm from multiple available methods. Not all methods will succeed for a given problem, and when several do, the results,…

Symbolic Computation · Computer Science 2025-08-11 Rashid Barket , Matthew England , Jürgen Gerhard

Integer Linear Programming (ILP) formulations of Markov random fields (MRFs) models with global connectivity priors were investigated previously in computer vision, e.g., \cite{globalinter,globalconn}. In these works, only Linear Programing…

Computer Vision and Pattern Recognition · Computer Science 2018-03-21 Ruobing Shen , Eric Kendinibilir , Ismail Ben Ayed , Andrea Lodi , Andrea Tramontani , Gerhard Reinelt

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

Grouping problems aim to partition a set of items into multiple mutually disjoint subsets according to some specific criterion and constraints. Grouping problems cover a large class of important combinatorial optimization problems that are…

Artificial Intelligence · Computer Science 2016-04-04 Yangming Zhou , Jin-Kao Hao , Béatrice Duval

We introduce a novel deep learning method for detection of individual trees in urban environments using high-resolution multispectral aerial imagery. We use a convolutional neural network to regress a confidence map indicating the locations…

Among sub-optimal MAPF solvers, rule-based algorithms are particularly appealing since they are complete. Even in crowded scenarios, they allow finding a feasible solution that brings each agent to its target, preventing deadlock…

Optimization and Control · Mathematics 2024-04-10 S. Ardizzoni , I. Saccani , L. Consolini , M. Locatelli

This paper proposes a novel reinforcement learning (RL) algorithm using improved Monte Carlo tree search (IMCTS) formulation for discrete optimum design of truss structures. IMCTS with multiple root nodes includes update process, the best…

Artificial Intelligence · Computer Science 2024-08-08 Fu-Yao Ko , Katsuyuki Suzuki , Kazuo Yonekura

Levin Tree Search (LTS) (Orseau et al., 2018) is a search algorithm for deterministic environments that uses a user-specified policy to guide the search. It comes with a formal guarantee on the number of search steps (node visits) for…

Artificial Intelligence · Computer Science 2025-03-12 Laurent Orseau , Marcus Hutter , Levi H. S. Lelis

Online planning under uncertainty remains a critical challenge in robotics and autonomous systems. While tree search techniques are commonly employed to construct partial future trajectories within computational constraints, most existing…

Artificial Intelligence · Computer Science 2024-12-24 Michael Novitsky , Moran Barenboim , Vadim Indelman

Markov random fields are common prior distributions used in Bayesian inverse imaging problems. In particular, difference priors assign probability distributions to differences between neighbouring pixels, such as Gaussian, Laplace, or…

Methodology · Statistics 2026-05-19 Jasper Marijn Everink
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