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Working with causal models at different levels of abstraction is an important feature of science. Existing work has already considered the problem of expressing formally the relation of abstraction between causal models. In this paper, we…

Artificial Intelligence · Computer Science 2022-08-02 Fabio Massimo Zennaro , Paolo Turrini , Theodoros Damoulas

Previous approaches to constructing abstractions for control systems rely on geometric conditions or, in the case of an interconnected control system, a condition on the interconnection topology. Since these conditions are not always…

Optimization and Control · Mathematics 2020-05-22 Stanley W. Smith , Murat Arcak , Majid Zamani

In this paper we introduce a framework for option model composition. Option models are temporal abstractions that, like macro-operators in classical planning, jump directly from a start state to an end state. Prior work has focused on…

Artificial Intelligence · Computer Science 2012-07-03 David Silver , Kamil Ciosek

The abstraction of dynamical systems is a powerful tool that enables the design of feedback controllers using a correct-by-design framework. We investigate a novel scheme to obtain data-driven abstractions of discrete-time stochastic…

Systems and Control · Electrical Eng. & Systems 2024-04-15 Rudi Coppola , Andrea Peruffo , Licio Romao , Alessandro Abate , Manuel Mazo

According to a mainstream position in contemporary cognitive science and philosophy, the use of abstract compositional concepts is both a necessary and a sufficient condition for the presence of genuine thought. In this article, we show how…

Machine Learning · Computer Science 2019-10-17 Katja Ried , Benjamin Eva , Thomas Müller , Hans J. Briegel

At the intersection of dynamical systems, control theory, and formal methods lies the construction of symbolic abstractions: these typically represent simpler, finite-state models whose behavior mimics that of an underlying concrete system…

Systems and Control · Electrical Eng. & Systems 2024-09-27 Rudi Coppola , Andrea Peruffo , Manuel Mazo

A common technique to verify complex logic specifications for dynamical systems is the construction of symbolic abstractions: simpler, finite-state models whose behaviour mimics the one of the systems of interest. Typically, abstractions…

Systems and Control · Electrical Eng. & Systems 2023-03-30 Rudi Coppola , Andrea Peruffo , Manuel Mazo

We introduce a variational approach to learning and inference of temporally hierarchical structure and representation for sequential data. We propose the Variational Temporal Abstraction (VTA), a hierarchical recurrent state space model…

Machine Learning · Computer Science 2019-10-03 Taesup Kim , Sungjin Ahn , Yoshua Bengio

Contracts are a well-established approach for describing and analyzing behavioral aspects of web service compositions. The theory of contracts comes equipped with a notion of compatibility between clients and servers that ensures that every…

Programming Languages · Computer Science 2011-01-26 Maria Grazia Buscemi , Hernán Melgratti

In previous work we developed a framework of computational models for function and object execution. The models on an higher level of abstraction in this framework allow for concurrent execution of functions and objects. We show that the…

Software Engineering · Computer Science 2012-09-28 Bob Diertens

The actor model eases the definition of concurrent programs with non uniform behaviors. Static analysis of such a model was previously done in a data-flow oriented way, with type systems. This approach was based on constraint set resolution…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-08-16 Pierre-Loïc Garoche , Marc Pantel , Xavier Thirioux

Hierarchical reinforcement learning has focused on discovering temporally extended actions, such as options, that can provide benefits in problems requiring extensive exploration. One promising approach that learns these options end-to-end…

Machine Learning · Computer Science 2022-04-26 Marwa Abdulhai , Dong-Ki Kim , Matthew Riemer , Miao Liu , Gerald Tesauro , Jonathan P. How

Structural causal models provide a formalism to express causal relations between variables of interest. Models and variables can represent a system at different levels of abstraction, whereby relations may be coarsened and refined according…

Artificial Intelligence · Computer Science 2023-05-09 Fabio Massimo Zennaro , Paolo Turrini , Theodoros Damoulas

Hierarchical methods in reinforcement learning have the potential to reduce the amount of decisions that the agent needs to perform when learning new tasks. However, finding reusable useful temporal abstractions that facilitate fast…

Machine Learning · Computer Science 2023-04-05 David Kuric , Herke van Hoof

ASP programs are a convenient tool for problem solving, whereas with large problem instances the size of the state space can be prohibitive. We consider abstraction as a means of over-approximation and introduce a method to automatically…

Logic in Computer Science · Computer Science 2018-09-19 Zeynep G. Saribatur , Thomas Eiter

We introduce a method which enables a recurrent dynamics model to be temporally abstract. Our approach, which we call Adaptive Skip Intervals (ASI), is based on the observation that in many sequential prediction tasks, the exact time at…

Machine Learning · Computer Science 2018-12-14 Alexander Neitz , Giambattista Parascandolo , Stefan Bauer , Bernhard Schölkopf

Induction is the process by which we obtain predictive laws or theories or models of the world. We consider the structural aspect of induction. We answer the question as to whether we can find a finite and minmalistic set of operations on…

Artificial Intelligence · Computer Science 2011-07-05 Adrian Silvescu , Vasant Honavar

In this work, we introduce a compositional framework for the construction of finite abstractions (a.k.a. symbolic models) of interconnected discrete-time control systems. The compositional scheme is based on the joint dissipativity-type…

Systems and Control · Computer Science 2017-10-17 Abdalla Swikir , Antoine Girard , Majid Zamani

Real-world sequential decision-making often involves parameterized action spaces that require both, decisions regarding discrete actions and decisions about continuous action parameters governing how an action is executed. Existing…

Artificial Intelligence · Computer Science 2026-04-27 Rashmeet Kaur Nayyar , Naman Shah , Siddharth Srivastava

This paper is a contribution to the theoretical foundations of strategies. We first present a general definition of abstract strategies which is extensional in the sense that a strategy is defined explicitly as a set of derivations of an…

Computer Science and Game Theory · Computer Science 2010-01-26 Tony Bourdier , Horatiu Cirstea , Daniel Dougherty , Hélène Kirchner