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We consider the problem of constructing an an optimal-weight tree from the 3*(n choose 4) weighted quartet topologies on n objects, where optimality means that the summed weight of the embedded quartet topologiesis optimal (so it can be the…

Data Structures and Algorithms · Computer Science 2011-11-09 Rudi Cilibrasi , Paul M. B. Vitanyi

While model serving has unlocked unprecedented capabilities, the high cost of serving large-scale models continues to be a significant barrier to widespread accessibility and rapid innovation. Compiler optimizations have long driven…

Machine Learning · Computer Science 2026-02-05 Annabelle Sujun Tang , Christopher Priebe , Rohan Mahapatra , Lianhui Qin , Hadi Esmaeilzadeh

This paper presents a novel learning-based trajectory planning framework for quadrotors that combines model-based optimization techniques with deep learning. Specifically, we formulate the trajectory optimization problem as a quadratic…

Robotics · Computer Science 2023-12-05 Yuwei Wu , Xiatao Sun , Igor Spasojevic , Vijay Kumar

While Large Language Models (LLMs) have recently shown promise in Automated Heuristic Design (AHD), existing approaches typically formulate AHD around constructive priority rules or parameterized local search guidance, thereby restricting…

Artificial Intelligence · Computer Science 2026-02-10 Baoyun Zhao , He Wang , Liang Zeng

During the loading phase of a vessel, only the containers that are on top of their stack are directly accessible. If the container that needs to be loaded next is not the top container, extra moves have to be performed, resulting in an…

Data Structures and Algorithms · Computer Science 2014-06-30 Martijn van Brink , Ruben van der Zwaan

Large Language Models (LLMs) offer promising capabilities for tackling complex reasoning tasks, including optimization problems. However, existing methods either rely on prompt engineering, which leads to poor generalization across problem…

Machine Learning · Computer Science 2025-10-23 Dong Li , Xujiang Zhao , Linlin Yu , Yanchi Liu , Wei Cheng , Zhengzhang Chen , Zhong Chen , Feng Chen , Chen Zhao , Haifeng Chen

Policy tree search is a family of tree search algorithms that use a policy to guide the search. These algorithms provide guarantees on the number of expansions required to solve a given problem that are based on the quality of the policy.…

Artificial Intelligence · Computer Science 2025-12-03 Jake Tuero , Michael Buro , Levi H. S. Lelis

Path-planning algorithms are an important part of a wide variety of robotic applications, such as mobile robot navigation and robot arm manipulation. However, in large search spaces in which local traps may exist, it remains challenging to…

Machine Learning · Computer Science 2019-08-12 Yuka Ariki , Takuya Narihira

We present a novel hierarchical triplet loss (HTL) capable of automatically collecting informative training samples (triplets) via a defined hierarchical tree that encodes global context information. This allows us to cope with the main…

Computer Vision and Pattern Recognition · Computer Science 2018-10-17 Weifeng Ge , Weilin Huang , Dengke Dong , Matthew R. Scott

In spite of the recent improvements in the performance of the solvers based on the DPLL procedure, it is still possible for the search algorithm to focus on the wrong areas of the search space, preventing the solver from returning a…

Artificial Intelligence · Computer Science 2015-03-18 Marcello Balduccini

Recent studies exploited Large Language Models (LLMs) to autonomously generate heuristics for solving Combinatorial Optimization Problems (COPs), by prompting LLMs to first provide search directions and then derive heuristics accordingly.…

Neural and Evolutionary Computing · Computer Science 2025-06-12 Xuan Wu , Di Wang , Chunguo Wu , Lijie Wen , Chunyan Miao , Yubin Xiao , You Zhou

Behavior Trees (BTs) are increasingly becoming a popular control structure in robotics due to their modularity, reactivity, and robustness. In terms of BT generation methods, BT planning shows promise for generating reliable BTs. However,…

Robotics · Computer Science 2025-03-10 Yishuai Cai , Xinglin Chen , Yunxin Mao , Minglong Li , Shaowu Yang , Wenjing Yang , Ji Wang

Decision-making under uncertainty (DMU) is present in many important problems. An open challenge is DMU in non-stationary environments, where the dynamics of the environment can change over time. Reinforcement Learning (RL), a popular…

Artificial Intelligence · Computer Science 2022-03-01 Geoffrey Pettet , Ayan Mukhopadhyay , Abhishek Dubey

Spatial puzzles composed of rigid objects, flexible strings and holes offer interesting domains for reasoning about spatial entities that are common in the human daily-life's activities. The goal of this work is to investigate the automated…

Artificial Intelligence · Computer Science 2019-03-11 Thiago Freitas dos Santos , Paulo E. Santos , Leonardo A. Ferreira , Reinaldo A. C. Bianchi , Pedro Cabalar

Recent advancements in large language models (LLMs) have shown remarkable potential in automating machine learning tasks. However, existing LLM-based agents often struggle with low-diversity and suboptimal code generation. While recent work…

Computation and Language · Computer Science 2026-01-26 Zujie Liang , Feng Wei , Wujiang Xu , Lin Chen , Yuxi Qian , Xinhui Wu

This work investigates the Monte Carlo Tree Search (MCTS) method combined with dedicated heuristics for solving the Weighted Vertex Coloring Problem. In addition to the basic MCTS algorithm, we study several MCTS variants where the…

Artificial Intelligence · Computer Science 2025-03-05 Cyril Grelier , Olivier Goudet , Jin-Kao Hao

Optimal path planning requires finding a series of feasible states from the starting point to the goal to optimize objectives. Popular path planning algorithms, such as Effort Informed Trees (EIT*), employ effort heuristics to guide the…

Using underwater robots instead of humans for the inspection of coastal piers can enhance efficiency while reducing risks. A key challenge in performing these tasks lies in achieving efficient and rapid path planning within complex…

Robotics · Computer Science 2025-05-14 Pengyu Wang , Hin Wang Lin , Jialu Li , Jiankun Wang , Ling Shi , Max Q. -H. Meng

Multi-step multimodal reasoning tasks pose significant challenges for multimodal large language models (MLLMs), and finding effective ways to enhance their performance in such scenarios remains an unresolved issue. In this paper, we propose…

Computation and Language · Computer Science 2024-12-20 Guanting Dong , Chenghao Zhang , Mengjie Deng , Yutao Zhu , Zhicheng Dou , Ji-Rong Wen

This paper studies constructive heuristics for the minimum labelling spanning tree (MLST) problem. The purpose is to find a spanning tree that uses edges that are as similar as possible. Given an undirected labeled connected graph (i.e.,…

Discrete Mathematics · Computer Science 2014-05-09 Sergio Consoli , Jose Andres Moreno-Perez , Kenneth Darby-Dowman , Nenad Mladenovic
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