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Let $X = \{X_{u}\}_{u \in U}$ be a real-valued Gaussian process indexed by a set $U$. It can be thought of as an undirected graphical model with every random variable $X_{u}$ serving as a vertex. We characterize this graph in terms of the…

Statistics Theory · Mathematics 2023-12-13 Kartik G. Waghmare , Victor M. Panaretos

This paper proposes an autoregressive (AR) model for sequences of graphs, which generalises traditional AR models. A first novelty consists in formalising the AR model for a very general family of graphs, characterised by a variable…

Machine Learning · Computer Science 2019-03-19 Daniele Zambon , Daniele Grattarola , Lorenzo Livi , Cesare Alippi

Sequence representations supporting not only direct access to their symbols, but also rank/select operations, are a fundamental building block in many compressed data structures. Several recent applications need to represent highly…

Data Structures and Algorithms · Computer Science 2019-11-25 Alberto Ordóñez , Gonzalo Navarro , Nieves R. Brisaboa

This paper proposes an integration of surrogate modeling and topology to significantly reduce the amount of data required to describe the underlying global dynamics of robot controllers, including closed-box ones. A Gaussian Process (GP),…

We present a new approach to the logical design of relational databases, based on strategic port graph rewriting. We show how to model relational schemata as attributed port graphs and provide port graph rewriting rules to perform…

Databases · Computer Science 2019-02-07 János Varga

We study the theory of safety and liveness in a reversible calculus where reductions are totally ordered and rollbacks lead the systems to past states. Similar to previous work on communicating transactions, liveness and safety respectively…

Logic in Computer Science · Computer Science 2016-08-01 Claudio Antares Mezzina , Vasileios Koutavas

Post-processing techniques are essential tools for enhancing the accuracy of finite element approximations and achieving superconvergence. Among these, recovery techniques stand out as vital methods, playing significant roles in both…

Numerical Analysis · Mathematics 2024-12-06 Hailong Guo , Zhimin Zhang

When dealing with time series data, causal inference methods often employ structural vector autoregressive (SVAR) processes to model time-evolving random systems. In this work, we rephrase recursive SVAR processes with possible latent…

Statistics Theory · Mathematics 2024-08-19 Nicolas-Domenic Reiter , Andreas Gerhardus , Jonas Wahl , Jakob Runge

Learning complex multi-agent system dynamics from data is crucial across many domains, such as in physical simulations and material modeling. Extended from purely data-driven approaches, existing physics-informed approaches such as…

Machine Learning · Computer Science 2023-10-11 Zijie Huang , Wanjia Zhao , Jingdong Gao , Ziniu Hu , Xiao Luo , Yadi Cao , Yuanzhou Chen , Yizhou Sun , Wei Wang

Learning uncertain dynamics models using Gaussian process~(GP) regression has been demonstrated to enable high-performance and safety-aware control strategies for challenging real-world applications. Yet, for computational tractability,…

Optimization and Control · Mathematics 2024-09-17 Manish Prajapat , Amon Lahr , Johannes Köhler , Andreas Krause , Melanie N. Zeilinger

We describe the approximation of a continuous dynamical system on a p. l. manifold or Cantor set by a tractable system. A system is tractable when it has a finite number of chain components and, with respect to a given full background…

Dynamical Systems · Mathematics 2019-06-03 Ethan Akin

Complexity has been a recurrent research topic in cellular automata because they represent systems where complex behaviors emerge from simple local interactions. A significant amount of previous research has been conducted proposing…

A proposal is made for a mathematically unambiguous treatment of evolution in the presence of closed timelike curves. In constrast to other proposals for handling the naively nonunitary evolution that is often present in such situations,…

General Relativity and Quantum Cosmology · Physics 2010-11-01 Arlen Anderson

Motion correction aims to prevent motion artefacts which may be caused by respiration, heartbeat, or head movements for example. In a preliminary step, the measured data is divided in gates corresponding to motion states, and displacement…

Optimization and Control · Mathematics 2024-10-15 Claire Delplancke , Kris Thielemans , Matthias J. Ehrhardt

Choreographies are widely used for the specification of concurrent and distributed software architectures. Since asynchronous communications are ubiquitous in real-world systems, previous works have proposed different approaches for the…

Programming Languages · Computer Science 2017-11-28 Luís Cruz-Filipe , Fabrizio Montesi

Autoregressive models are a class of time series models that are important in both applied and theoretical statistics. Typically, inferential devices such as confidence sets and hypothesis tests for time series models require nuanced…

Statistics Theory · Mathematics 2022-01-19 Hien Duy Nguyen

Concerning classical computational models able to express all the Primitive Recursive Functions (PRF), there are interesting results regarding limits on their algorithmic expressiveness or, equivalently, efficiency, namely the ability to…

Programming Languages · Computer Science 2024-03-01 Matteo Palazzo , Luca Roversi

Choreographic programming is an emerging programming paradigm for concurrent and distributed systems, whereby developers write the communications that should be enacted and then a distributed implementation is automatically obtained by…

Programming Languages · Computer Science 2022-08-18 Luís Cruz-Filipe , Eva Graversen , Lovro Lugović , Fabrizio Montesi , Marco Peressotti

In this paper, we propose a novel approach for computing robust backward reachable sets from noisy data for unknown constrained linear systems subject to bounded disturbances. In particular, we develop an algorithm for obtaining zonotopic…

Systems and Control · Electrical Eng. & Systems 2023-12-21 Mehran Attar , Walter Lucia

Reversible computation opens up the possibility of overcoming some of the hardware's current physical limitations. It also offers theoretical insights, as it enriches multiple paradigms and models of computation, and sometimes…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-05-15 Clément Aubert , Ioana Cristescu