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We introduce the notion of universal graphs as a tool for constructing algorithms solving games of infinite duration such as parity games and mean payoff games. In the first part we develop the theory of universal graphs, with two goals:…

Formal Languages and Automata Theory · Computer Science 2023-06-22 Thomas Colcombet , Nathanaël Fijalkow , Paweł Gawrychowski , Pierre Ohlmann

In order to solve complex, long-horizon tasks, intelligent robots need to carry out high-level, abstract planning and reasoning in conjunction with motion planning. However, abstract models are typically lossy and plans or policies computed…

Artificial Intelligence · Computer Science 2020-06-02 Naman Shah , Deepak Kala Vasudevan , Kislay Kumar , Pranav Kamojjhala , Siddharth Srivastava

Modern autonomous driving system is characterized as modular tasks in sequential order, i.e., perception, prediction, and planning. In order to perform a wide diversity of tasks and achieve advanced-level intelligence, contemporary…

Computer Vision and Pattern Recognition · Computer Science 2023-03-24 Yihan Hu , Jiazhi Yang , Li Chen , Keyu Li , Chonghao Sima , Xizhou Zhu , Siqi Chai , Senyao Du , Tianwei Lin , Wenhai Wang , Lewei Lu , Xiaosong Jia , Qiang Liu , Jifeng Dai , Yu Qiao , Hongyang Li

Several machine learning models are defined for inputs of any size, such as graphs with different numbers of nodes and point clouds containing varying numbers of points. The universality properties of such any-dimensional models remain…

Machine Learning · Computer Science 2026-05-25 Shengtai Yao , Eitan Levin , Mateo Díaz

We introduce the notion of universal memcomputing machines (UMMs): a class of brain-inspired general-purpose computing machines based on systems with memory, whereby processing and storing of information occur on the same physical location.…

Neural and Evolutionary Computing · Computer Science 2015-12-17 Fabio L. Traversa , Massimiliano Di Ventra

This work initiates a general study of learning and generalization without the i.i.d. assumption, starting from first principles. While the traditional approach to statistical learning theory typically relies on standard assumptions from…

Machine Learning · Statistics 2020-10-21 Steve Hanneke

Task and motion planning represents a powerful set of hybrid planning methods that combine reasoning over discrete task domains and continuous motion generation. Traditional reasoning necessitates task domain models and enough information…

Robotics · Computer Science 2024-06-14 Tianyang Pan , Rahul Shome , Lydia E. Kavraki

We study the problem of path planning for unlabeled (indistinguishable) unit-disc robots in a planar environment cluttered with polygonal obstacles. We introduce an algorithm which minimizes the total path length, i.e., the sum of lengths…

Computational Geometry · Computer Science 2015-04-22 Kiril Solovey , Jingjin Yu , Or Zamir , Dan Halperin

Motion planning is a fundamental problem in autonomous robotics that requires finding a path to a specified goal that avoids obstacles and takes into account a robot's limitations and constraints. It is often desirable for this path to also…

Robotics · Computer Science 2021-01-14 Jonathan D. Gammell , Marlin P. Strub

The performance of search algorithms for grid-based pathfinding, e.g. A*, critically depends on the heuristic function that is used to focus the search. Recent studies have shown that informed heuristics that take the positions/shapes of…

Machine Learning · Computer Science 2026-03-02 Aleksandr Ananikian , Daniil Drozdov , Konstantin Yakovlev

We present a new framework for motion planning that wraps around existing kinodynamic planners and guarantees recursive feasibility when operating in a priori unknown, static environments. Our approach makes strong guarantees about overall…

Robotics · Computer Science 2019-03-08 David Fridovich-Keil , Jaime F. Fisac , Claire J. Tomlin

Can we train a system that, on any new input, either says "don't know" or makes a prediction that is guaranteed to be correct? We answer the question in the affirmative provided our model family is well-specified. Specifically, we introduce…

Machine Learning · Computer Science 2016-06-24 Fereshte Khani , Martin Rinard , Percy Liang

Generalized planning is concerned with the characterization and computation of plans that solve many instances at once. In the standard formulation, a generalized plan is a mapping from feature or observation histories into actions,…

Artificial Intelligence · Computer Science 2018-06-15 Blai Bonet , Hector Geffner

Intelligent systems sometimes need to infer the probable goals of people, cars, and robots, based on partial observations of their motion. This paper introduces a class of probabilistic programs for formulating and solving these problems.…

Artificial Intelligence · Computer Science 2017-04-19 Marco F. Cusumano-Towner , Alexey Radul , David Wingate , Vikash K. Mansinghka

Symbolic planning is a powerful technique to solve complex tasks that require long sequences of actions and can equip an intelligent agent with complex behavior. The downside of this approach is the necessity for suitable symbolic…

Artificial Intelligence · Computer Science 2025-04-25 Daniel Tanneberg , Michael Gienger

This paper addresses semantic planning problems in unknown environments under perceptual uncertainty. The environment contains multiple unknown semantically labeled regions or objects, and the robot must reach desired locations while…

Conventional reinforcement learning (RL) methods can successfully solve a wide range of sequential decision problems. However, learning policies that can generalize predictably across multiple tasks in a setting with non-Markovian reward…

Machine Learning · Computer Science 2024-06-04 Guillermo Infante , David Kuric , Anders Jonsson , Vicenç Gómez , Herke van Hoof

Conformal predictors provide set or functional predictions that are valid under the assumption of randomness, i.e., under the assumption of independent and identically distributed data. The question asked in this paper is whether there are…

Machine Learning · Computer Science 2025-06-10 Vladimir Vovk

This is a chapter in the Encyclopedia of Robotics. It is devoted to the study of complexity of complete (or exact) algorithms for robot motion planning. The term ``complete'' indicates that an approach is guaranteed to find the correct…

Robotics · Computer Science 2020-03-31 Kiril Solovey

Procedural planning aims to implement complex high-level goals by decomposition into sequential simpler low-level steps. Although procedural planning is a basic skill set for humans in daily life, it remains a challenge for large language…

Computation and Language · Computer Science 2023-02-17 Yujie Lu , Weixi Feng , Wanrong Zhu , Wenda Xu , Xin Eric Wang , Miguel Eckstein , William Yang Wang