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Model sets are projections of certain lattice subsets. It was realised by Moody that dynamical properties of such sets are induced from the torus associated with the lattice. We follow and extend this approach by studying dynamics on the…

Dynamical Systems · Mathematics 2018-03-01 Gerhard Keller , Christoph Richard

Rapidly generating an optimal chasing motion of a drone to follow a dynamic target among obstacles is challenging due to numerical issues rising from multiple conflicting objectives and non-convex constraints. This study proposes to resolve…

Robotics · Computer Science 2021-12-14 Boseong Felipe Jeon , Changhyeon Kim , Hojoon Shin , H. Jin Kim

We consider the problem of automated reasoning about dynamically manipulated data structures. The state-of-the-art methods are limited to the unfold-and-match (U+M) paradigm, where predicates are transformed via (un)folding operations…

Programming Languages · Computer Science 2014-07-24 Duc-Hiep Chu , Joxan Jaffar , Minh-Thai Trinh

Modeling and simulation of complex systems is key to explore systems dynamics. Many scientific approaches were developed to represent dynamic structure systems but most of these approaches are efficient for some kinds of systems and…

Software Engineering · Computer Science 2024-04-08 Aya Attia , Clément Foucher , Luiz Fernando Lavado Villa

We present a refinement of the Calculus of Inductive Constructions in which one can easily define a notion of relational parametricity. It provides a new way to automate proofs in an interactive theorem prover like Coq.

Logic in Computer Science · Computer Science 2012-11-28 Chantal Keller , Marc Lasson

We propose a technique to detect and generate patterns in a network of locally interacting dynamical systems. Central to our approach is a novel spatial superposition logic, whose semantics is defined over the quad-tree of a partitioned…

Artificial Intelligence · Computer Science 2014-09-22 Ebru Aydin Gol , Ezio Bartocci , Calin Belta

Design patterns provide a systematic way to convey solutions to recurring modeling challenges. This paper introduces design patterns for hybrid modeling, an approach that combines modeling based on first principles with data-driven modeling…

Artificial Intelligence · Computer Science 2024-01-02 Maja Rudolph , Stefan Kurz , Barbara Rakitsch

We develop a stochastic calculus that makes it easy to capture a variety of predictable transformations of semimartingales such as changes of variables, stochastic integrals, and their compositions. The framework offers a unified treatment…

Probability · Mathematics 2022-01-13 Aleš Černý , Johannes Ruf

In this paper, we propose a constraint-based modeling approach for the problem of discovering frequent gradual patterns in a numerical dataset. This SAT-based declarative approach offers an additional possibility to benefit from the recent…

Artificial Intelligence · Computer Science 2019-03-21 Jerry Lonlac , Saïdd Jabbour , Engelbert Mephu Nguifo , Lakhdar Saïs , Badran Raddaoui

Patterns embody repeating phenomena, and, as such, they are partly but not fully detachable from their context. 'Design patterns' and 'pattern languages' are established methods for working with patterns. They have been applied in…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-12-09 Raymond Puzio , Paola Ricaurte , Charles Jeffrey Danoff , Charlotte Pierce , Analua Dutka-Chirichetti , Vitor Bruno , Hermano Cintra , Joseph Corneli

Graph rewriting is a popular tool for the optimisation and modification of graph expressions in domains such as compilers, machine learning and quantum computing. The underlying data structures are often port graphs - graphs with labels at…

Data Structures and Algorithms · Computer Science 2025-03-27 Luca Mondada , Pablo Andrés-Martínez

In this paper we propose a novel approach to identify dynamical systems. The method estimates the model structure and the parameters of the model simultaneously, automating the critical decisions involved in identification such as model…

Systems and Control · Computer Science 2020-01-16 Dhruv Khandelwal , Maarten Schoukens , Roland Tóth

Matrix regression plays an important role in modern data analysis due to its ability to handle complex relationships involving both matrix and vector variables. We propose a class of regularized regression models capable of predicting both…

Optimization and Control · Mathematics 2025-01-14 Meixia Lin , Ziyang Zeng , Yangjing Zhang

This paper presents our proposal for the evolution of the metamodel for the Task Algebra in the Task Flow model for the Discovery Method. The original Task Algebra is based on simple and compound tasks structured using operators such as…

Software Engineering · Computer Science 2012-05-04 Carlos Alberto Fernandez-y-Fernandez

While significant advancements have been made in the field of fair machine learning, the majority of studies focus on scenarios where the decision model operates on a static population. In this paper, we study fairness in dynamic systems…

Machine Learning · Computer Science 2024-01-15 Yaowei Hu , Jacob Lear , Lu Zhang

We propose a new perspective for the evaluation of matching procedures by considering the complexity of the function class they belong to. Under this perspective we provide theoretical guarantees on post-matching covariate balance through a…

Statistics Theory · Mathematics 2023-01-04 Efrén Cruz Cortés , Kevin Josey , Fan Yang , Debashis Ghosh

We propose a new cyclic proof system for automated, equational reasoning about the behaviour of pure functional programs. The key to the system is the way in which cyclic proof and equational reasoning are mediated by the use of contextual…

Programming Languages · Computer Science 2022-06-16 Eddie Jones , C-. H. Luke Ong , Steven Ramsay

Model selection methods are used in different scientific contexts to represent a characteristic data set in terms of a reduced number of parameters. Apparently, these methods have not found their way into the literature on multibody systems…

Robotics · Computer Science 2017-05-30 Javier Ros , Xabier Iriarte , Aitor Plaza , Vicente Mata

When verifying liveness properties on a transition system, it is often necessary to discard spurious violating paths by making assumptions on which paths represent realistic executions. Capturing that some property holds under such an…

Logic in Computer Science · Computer Science 2024-07-12 Myrthe Spronck , Bas Luttik , Tim Willemse

A well-established approach to reasoning about loops during program analysis is to capture the effect of a loop by extracting recurrences from the loop; these express relationships between the values of variables, or program properties such…

Logic in Computer Science · Computer Science 2021-09-13 Bishoksan Kafle , John P. Gallagher , Manuel V. Hermenegildo , Maximiliano Klemen , Pedro López-García , José F. Morales
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