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In this paper we propose to represent a scene as an abstraction of 'things'. We start from 'things' as generated by modern object proposals, and we investigate their immediately observable properties: position, size, aspect ratio and color,…

Computer Vision and Pattern Recognition · Computer Science 2016-10-07 Svetlana Kordumova , Jan C. van Gemert , Cees G. M. Snoek , Arnold W. M. Smeulders

A common technique for checking properties of complex state machines is to build a finite abstraction then check the property on the abstract system -- where a passing check on the abstract system is only transferred to the original system…

Logic in Computer Science · Computer Science 2020-09-30 Rob Sumners

Temporal abstraction refers to the ability of an agent to use behaviours of controllers which act for a limited, variable amount of time. The options framework describes such behaviours as consisting of a subset of states in which they can…

Machine Learning · Computer Science 2020-01-03 Khimya Khetarpal , Martin Klissarov , Maxime Chevalier-Boisvert , Pierre-Luc Bacon , Doina Precup

We are concerned with the question of how an agent can acquire its own representations from sensory data. We restrict our focus to learning representations for long-term planning, a class of problems that state-of-the-art learning methods…

Machine Learning · Computer Science 2022-05-05 Steven James , Benjamin Rosman , George Konidaris

In this work, we analyse Petri nets where places are allowed to have a negative number of tokens. For each net we build its correspondent category of executions, which is compact closed, and prove that this procedure is functorial. We…

Category Theory · Mathematics 2019-01-30 Fabrizio Genovese , Jelle Herold

We study the utility of incorporating entity type abstractions into pre-trained Transformers and test these methods on four NLP tasks requiring different forms of logical reasoning: (1) compositional language understanding with text-based…

Computation and Language · Computer Science 2022-11-22 Nicolas Gontier , Siva Reddy , Christopher Pal

Partial Differential Equations are infinite dimensional encoded representations of physical processes. However, imbibing multiple observation data towards a coupled representation presents significant challenges. We present a fully…

Machine Learning · Computer Science 2020-03-09 Gurpreet Singh , Soumyajit Gupta , Matt Lease , Clint N. Dawson

We introduce a framework for the modeling of sequential data capturing pathways of varying lengths observed in a network. Such data are important, e.g., when studying click streams in information networks, travel patterns in transportation…

Social and Information Networks · Computer Science 2017-11-20 Ingo Scholtes

While the utility of well-chosen abstractions for understanding and predicting the behaviour of complex systems is well appreciated, precisely what an abstraction $\textit{is}$ has so far has largely eluded mathematical formalization. In…

Artificial Intelligence · Computer Science 2021-06-29 Beren Millidge

In this work, we propose an abductive framework for biosignal interpretation, based on the concept of Temporal Abstraction Patterns. A temporal abstraction pattern defines an abstraction relation between an observation hypothesis and a set…

Artificial Intelligence · Computer Science 2021-12-09 Tomás Teijeiro , Paulo Félix , Jesús Presedo

Shape abstraction is an important task for simplifying complex geometric structures while retaining essential features. Sweep surfaces, commonly found in human-made objects, aid in this process by effectively capturing and representing…

Computer Vision and Pattern Recognition · Computer Science 2024-07-10 Mingrui Zhao , Yizhi Wang , Fenggen Yu , Changqing Zou , Ali Mahdavi-Amiri

Goal representation affects the performance of Hierarchical Reinforcement Learning (HRL) algorithms by decomposing the complex learning problem into easier subtasks. Recent studies show that representations that preserve temporally abstract…

Machine Learning · Computer Science 2024-12-24 Mehdi Zadem , Sergio Mover , Sao Mai Nguyen

Transition systems (TS) and Petri nets (PN) are important models of computation ubiquitous in formal methods for modeling systems. An important problem is how to extract from a given TS a PN whose reachability graph is equivalent (with a…

Formal Languages and Automata Theory · Computer Science 2022-05-05 Viktor Teren , Jordi Cortadella , Tiziano Villa

Recursive relational specifications are commonly used to describe the computational structure of formal systems. Recent research in proof theory has identified two features that facilitate direct, logic-based reasoning about such…

Logic in Computer Science · Computer Science 2010-09-24 Andrew Gacek , Dale Miller , Gopalan Nadathur

Alchemy is a new meta-learning environment rich enough to contain interesting abstractions, yet simple enough to make fine-grained analysis tractable. Further, Alchemy provides an optional symbolic interface that enables meta-RL research…

Machine Learning · Computer Science 2022-08-26 Badr AlKhamissi , Akshay Srinivasan , Zeb-Kurth Nelson , Sam Ritter

This paper is concerned with a compositional approach for constructing abstractions of interconnected discrete-time stochastic control systems. The abstraction framework is based on new notions of so-called stochastic simulation functions,…

Systems and Control · Computer Science 2017-10-02 Abolfazl Lavaei , Sadegh Esmaeil Zadeh Soudjani , Rupak Majumdar , Majid Zamani

The pursuit of interpretable artificial intelligence has led to significant advancements in the development of methods that aim to explain the decision-making processes of complex models, such as deep learning systems. Among these methods,…

Machine Learning · Computer Science 2024-10-29 Yihao Zhang

Commutativity of data structure methods is of ongoing interest, with roots in the database community. In recent years commutativity has been shown to be a key ingredient to enabling multicore concurrency in contexts such as parallelizing…

Programming Languages · Computer Science 2020-04-21 Eric Koskinen , Kshitij Bansal

Colour vision has long fascinated scientists, who have sought to understand both the physiology of the mechanics of colour vision and the psychophysics of colour perception. We consider representations of colour in anatomically constrained…

Computer Vision and Pattern Recognition · Computer Science 2019-10-25 Ethan Harris , Daniela Mihai , Jonathon Hare

Simulation-based compositional abstraction effectively mitigates state space explosion in model checking, particularly for timed systems. However, existing approaches do not support broadcast synchronization, an important mechanism for…

Formal Languages and Automata Theory · Computer Science 2025-05-20 Hanyue Chen , Miaomiao Zhang , Frits Vaandrager