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The practical impact of abstraction-based controller synthesis methods is currently limited by the immense computational effort for obtaining abstractions. In this note we focus on a recently proposed method to compute abstractions whose…

Optimization and Control · Mathematics 2017-11-07 Alexander Weber , Matthias Rungger , Gunther Reissig

Informally, a set of abstractions of a state space S is additive if the distance between any two states in S is always greater than or equal to the sum of the corresponding distances in the abstract spaces. The first known additive…

Artificial Intelligence · Computer Science 2011-11-02 Fan Yang , Joseph Culberson , Robert Holte , Uzi Zahavi , Ariel Felner

Planning in adversarial and uncertain environments can be modeled as the problem of devising strategies in stochastic perfect information games. These games are generalizations of Markov decision processes (MDPs): there are two…

Artificial Intelligence · Computer Science 2012-07-09 Krishnendu Chatterjee , Thomas A. Henzinger , Ranjit Jhala , Rupak Majumdar

We describe a framework for using natural language to design state abstractions for imitation learning. Generalizable policy learning in high-dimensional observation spaces is facilitated by well-designed state representations, which can…

A core challenge of Monte Carlo Tree Search (MCTS) is its sample efficiency, which can be improved by grouping state-action pairs and using their aggregate statistics instead of single-node statistics. On the Go Abstractions in Upper…

Artificial Intelligence · Computer Science 2025-10-30 Robin Schmöcker , Alexander Dockhorn , Bodo Rosenhahn

The study of learning in games typically assumes that each player always has access to all of their actions. However, in many practical scenarios, players' available actions might be restricted due to exogenous stochasticity. To model this…

Computer Science and Game Theory · Computer Science 2026-05-12 Thomas Schwarz , Ryann Sim , Chun Kai Ling

In many board games and other abstract games, patterns have been used as features that can guide automated game-playing agents. Such patterns or features often represent particular configurations of pieces, empty positions, etc., which may…

Artificial Intelligence · Computer Science 2023-05-05 Dennis J. N. J. Soemers , Éric Piette , Matthew Stephenson , Cameron Browne

Game Theory studies situations in which multiple agents having conflicting objectives have to reach a collective decision. The question of a compact representation language for agents utility function is of crucial importance since the…

Computer Science and Game Theory · Computer Science 2014-04-30 Thi-Van-Anh Nguyen , Arnaud Lallouet

Abstraction is an important aspect of intelligence which enables agents to construct robust representations for effective decision making. In the last decade, deep networks are proven to be effective due to their ability to form…

Robotics · Computer Science 2022-09-28 Alper Ahmetoglu , Emre Ugur , Minoru Asada , Erhan Oztop

The most important factors which contribute to the efficiency of game-theoretical algorithms are time and game complexity. In this study, we have offered an elegant method to deal with high complexity of game theoretic multi-objective…

Computer Science and Game Theory · Computer Science 2015-03-13 Mahsa Badami , Ali Hamzeh , Sattar Hashemi

Information abstraction reduces the computational cost of solving imperfect-information games by clustering information sets into a smaller number of \emph{buckets}. Existing methods either rely on domain-specific features such as rank or…

Computer Science and Game Theory · Computer Science 2026-05-12 Boning Li , Longbo Huang

The peculiarity of adversarial team games resides in the asymmetric information available to the team members during the play, which makes the equilibrium computation problem hard even with zero-sum payoffs. The algorithms available in the…

Computer Science and Game Theory · Computer Science 2022-01-26 Luca Carminati , Federico Cacciamani , Marco Ciccone , Nicola Gatti

In this paper, we consider a mean field game model inspired by crowd motion where agents aim to reach a closed set, called target set, in minimal time. Congestion phenomena are modeled through a constraint on the velocity of an agent that…

Optimization and Control · Mathematics 2022-12-23 Saeed Sadeghi Arjmand , Guilherme Mazanti

One approach to enhance Monte Carlo Tree Search (MCTS) is to improve its sample efficiency by grouping/abstracting states or state-action pairs and sharing statistics within a group. Though state-action pair abstractions are mostly easy to…

Artificial Intelligence · Computer Science 2025-10-31 Robin Schmöcker , Alexander Dockhorn , Bodo Rosenhahn

This paper explores the impact of relational state abstraction on sample efficiency and performance in collaborative Multi-Agent Reinforcement Learning. The proposed abstraction is based on spatial relationships in environments where direct…

Artificial Intelligence · Computer Science 2025-04-23 Sharlin Utke , Jeremie Houssineau , Giovanni Montana

Markov automata combine continuous time, probabilistic transitions, and nondeterminism in a single model. They represent an important and powerful way to model a wide range of complex real-life systems. However, such models tend to be large…

Logic in Computer Science · Computer Science 2014-06-10 Bettina Braitling , Luis María Ferrer Fioriti , Hassan Hatefi , Ralf Wimmer , Bernd Becker , Holger Hermanns

Abstraction plays an important role in the generalisation of knowledge and skills and is key to sample efficient learning. In this work, we study joint temporal and state abstraction in reinforcement learning, where temporally-extended…

Machine Learning · Computer Science 2022-06-09 Dongge Han , Sebastian Tschiatschek

We study synthesis problems with constraints in partially observable Markov decision processes (POMDPs), where the objective is to compute a strategy for an agent that is guaranteed to satisfy certain safety and performance specifications.…

We propose a practical integration of logical state abstraction with AIXI, a Bayesian optimality notion for reinforcement learning agents, to significantly expand the model class that AIXI agents can be approximated over to complex…

Artificial Intelligence · Computer Science 2022-10-14 Samuel Yang-Zhao , Tianyu Wang , Kee Siong Ng

The field of artificial intelligence (AI) is devoted to the creation of artificial decision-makers that can perform (at least) on par with the human counterparts on a domain of interest. Unlike the agents in traditional AI, the agents in…

Artificial Intelligence · Computer Science 2021-12-28 Sultan J. Majeed