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The primary challenge for any autonomous system operating in realistic, rather unconstrained scenarios is to manage the complexity and uncertainty of the real world. While it is unclear how exactly humans and other higher animals master…

Computer Vision and Pattern Recognition · Computer Science 2020-02-20 Ziyuan Liu , Georg von Wichert

Latent position models are widely used for the analysis of networks in a variety of research fields. In fact, these models possess a number of desirable theoretical properties, and are particularly easy to interpret. However, statistical…

Computation · Statistics 2023-03-08 Riccardo Rastelli , Florian Maire , Nial Friel

Abstractive text summarization is surging with the number of training samples to cater to the needs of the deep learning models. These models tend to exploit the training data representations to attain superior performance by improving the…

Computation and Language · Computer Science 2023-12-21 Yash Kumar Atri , Vikram Goyal , Tanmoy Chakraborty

Biochemical networks are used in computational biology, to model the static and dynamical details of systems involved in cell signaling, metabolism, and regulation of gene expression. Parametric and structural uncertainty, as well as…

Molecular Networks · Quantitative Biology 2014-10-15 Ovidiu Radulescu , Alexander N. Gorban , Andrei Zinovyev , Vincent Noel

Abstracting from a low level to a more explanatory high level of description, and ideally while preserving causal structure, is fundamental to scientific practice, to causal inference problems, and to robust, efficient and interpretable AI.…

Logic in Computer Science · Computer Science 2026-02-19 Robin Lorenz , Sean Tull

Higher-dimensional automata constitute a very expressive model for concurrent systems. In this paper, we discuss "topological abstraction" of higher-dimensional automata, i.e., the replacement of HDAs by smaller ones that can be considered…

Formal Languages and Automata Theory · Computer Science 2015-06-09 Thomas Kahl

The goal of this work is to formally abstract a Markov process evolving in discrete time over a general state space as a finite-state Markov chain, with the objective of precisely approximating its state probability distribution in time,…

Logic in Computer Science · Computer Science 2017-01-11 Sadegh Esmaeil Zadeh Soudjani , Alessandro Abate

Computer networks have been traditionally configured by humans using command-line interfaces. Some network abstractions have emerged in the last 10 years, but there is no easy way of comparing them to each other objectively. Therefore,…

Networking and Internet Architecture · Computer Science 2023-08-02 Jose Moreno

In this work, we derive conditions under which compositional abstractions of networks of stochastic hybrid systems can be constructed using the interconnection topology and joint dissipativity-type properties of subsystems and their…

Systems and Control · Computer Science 2018-05-24 Asad Ullah Awan , Majid Zamani

We study the problem of finite-horizon probabilistic invariance for discrete-time Markov processes over general (uncountable) state spaces. We compute discrete-time, finite-state Markov chains as formal abstractions of general Markov…

Systems and Control · Computer Science 2015-07-03 Sadegh Esmaeil Zadeh Soudjani , Alessandro Abate , Rupak Majumdar

Queue networks describe complex stochastic systems of both theoretical and practical interest. They provide the means to assess alterations, diagnose poor performance and evaluate robustness across sets of interconnected resources. In the…

Computation · Statistics 2017-11-02 Iker Perez , David Hodge , Theodore Kypraios

A network representation is useful for describing the structure of a large variety of complex systems. However, most real and engineered systems have multiple subsystems and layers of connectivity, and the data produced by such systems is…

In this paper, we develop a graphical modeling framework for the inference of networks across multiple sample groups and data types. In medical studies, this setting arises whenever a set of subjects, which may be heterogeneous due to…

Approximate Bayesian Computation is widely used to infer the parameters of discrete-state continuous-time Markov networks. In this work, we focus on models that are governed by the Chemical Master Equation (the CME). Whilst originally…

Quantitative Methods · Quantitative Biology 2020-01-10 Christopher Lester

This paper presents the Variation Network (VarNet), a generative model providing means to manipulate the high-level attributes of a given input. The originality of our approach is that VarNet is not only capable of handling pre-defined…

Machine Learning · Computer Science 2019-09-17 Gaëtan Hadjeres , Frank Nielsen

This paper explores the effect of using multitask learning for abstractive summarization in the context of small training corpora. In particular, we incorporate four different tasks (extractive summarization, language modeling, concept…

Computation and Language · Computer Science 2021-09-20 Ahmed Magooda , Mohamed Elaraby , Diane Litman

We present graph-based modeling abstractions to represent cyber-physical dependencies arising in complex systems. Specifically, we propose an algebraic graph abstraction to capture physical connectivity in complex optimization models and a…

Optimization and Control · Mathematics 2018-12-13 Jordan Jalving , Yankai Cao , Victor M. Zavala

In this paper we present the extension of an existing method for abstract graph-based state space exploration, called neighbourhood abstraction, with a reduction technique based on subsumption. Basically, one abstract state subsumes another…

Logic in Computer Science · Computer Science 2012-10-25 Eduardo Zambon , Arend Rensink

Dynamic latent space models are widely used for characterizing changes in networks and relational data over time. These models assign to each node latent attributes that characterize connectivity with other nodes, with these latent…

Methodology · Statistics 2024-12-13 Jennifer Noelle Kampe , Luca Alessandro Silva , Tomas Roslin , David Brian Dunson

Latent space models are popular for analyzing dynamic network data. We propose a variational approach to estimate the model parameters as well as the latent positions of the nodes in the network. The variational approach is much faster than…

Methodology · Statistics 2021-06-01 Yan Liu , Yuguo Chen