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Multi-scale structures are prevalent in both natural and artificial systems, as they can handle increasing complexity. Several terms are employed almost interchangeably across various application domains to refer to the multi-scale concept…

Systems and Control · Electrical Eng. & Systems 2021-06-04 Ada Diaconescu , Louisa Jane Di Felice , Patricia Mellodge

Routing information through networks is a universal phenomenon in both natural and manmade complex systems. When each node has full knowledge of the global network connectivity, finding short communication paths is merely a matter of…

Physics and Society · Physics 2009-05-20 Marian Boguna , Dmitri Krioukov , kc claffy

We introduce the concept of indexed identity, where the usual notion of identity is a particular case. Our mathematical framework allows us a generalized method for `indexing' predicates, which corresponds to `fuzzification' of properties,…

Logic · Mathematics 2007-05-23 Adonai S. Sant'Anna

Based on the previously proposed concept Understanding Tree, this paper introduces two concepts: Understanding Graph and Understanding Map, and explores their potential applications. Understanding Graph and Understanding Map can be deemed…

Human-Computer Interaction · Computer Science 2017-11-20 Gangli Liu

This thesis (defended 10/07/2019) develops a theory of networks of hybrid open systems and morphisms. It builds upon a framework of networks of continuous-time open systems as product and interconnection. We work out categorical notions for…

Dynamical Systems · Mathematics 2019-12-30 James Schmidt

Knowledge graph alignment is the task of matching equivalent entities (that is, instances and classes) and relations across two knowledge graphs. Most existing methods focus on pure entity-level alignment, computing the similarity of…

Artificial Intelligence · Computer Science 2025-10-24 Yiwen Peng , Thomas Bonald , Fabian M. Suchanek

Triangles are an important building block and distinguishing feature of real-world networks, but their structure is still poorly understood. Despite numerous reports on the abundance of triangles, there is very little information on what…

Social and Information Networks · Computer Science 2013-03-06 Nurcan Durak , Ali Pinar , Tamara G. Kolda , C. Seshadhri

In this paper, we present an approach that is able to handle with Z-numbers in the context of Multi-Criteria Decision Making (MCDM) problems. Z-numbers are composed of two parts, the first one is a restriction on the values that can be…

Artificial Intelligence · Computer Science 2016-09-20 R. A. Krohling , Artem dos Santos , A. G. C. Pacheco

Intelligent agents are often faced with the problem of trying to merge possibly conflicting pieces of information obtained from different sources into a consistent view of the world. We propose a framework for the modelling of such merging…

Artificial Intelligence · Computer Science 2007-05-23 Thomas Meyer

This article represents one of the contemporary trends in the application of the latest methods of classification in business, where intense competition and the desire to expand drive this science to far-reaching prospects using the…

Computers and Society · Computer Science 2018-02-13 Ismail Kayali

We generalize the results of "Networks of open systems" by the first author to the setting of hybrid systems. In particular we introduce the notions of hybrid open systems, their networks and maps between networks. A network of systems is a…

Dynamical Systems · Mathematics 2020-01-29 Eugene Lerman , James Schmidt

Much of the software we use in everyday life consists of distributed components (running on separate cores or even computers) that collaborate through communication (by exchanging messages). It is crucial to develop robust methods that can…

Logic in Computer Science · Computer Science 2024-03-04 Bas van den Heuvel

We use princiles of fuzzy logic to develop a general model representing several processes in a system's operation characterized by a degree of vagueness and/or uncertainy. Further, we introduce three altenative measures of a fuzzy system's…

Artificial Intelligence · Computer Science 2012-12-12 Michael Gr. Voskoglou

Today, the vast majority of the world's digital information is represented using the fundamental assumption, introduced by Claude Shannon in 1948, that ``...the semantic aspects of communication are irrelevant to the engineering problem (of…

Information Theory · Computer Science 2025-09-16 Luis A. Lastras , Barry Trager , Jonathan Lenchner , Wojtek Szpankowski , Chai Wah Wu , Mark Squillante , Ron Fagin , Alex Gray

In a recent work \cite{LiuJoladSchZia13}, we introduced dynamic networks with preferred degrees and presented simulation and analytic studies of a single, homogeneous system as well as two interacting networks. Here, we extend these studies…

Physics and Society · Physics 2014-05-23 Wenjia Liu , B. Schmittmann , R. K. P. Zia

Complex systems, from the human brain to the global economy, are made of multiple elements that interact in such ways that the behaviour of the `whole' often seems to be more than what is readily explainable in terms of the `sum of the…

Neurons and Cognition · Quantitative Biology 2021-09-28 Pedro A. M. Mediano , Fernando E. Rosas , Andrea I Luppi , Robin L. Carhart-Harris , Daniel Bor , Anil K. Seth , Adam B. Barrett

Some theories on data flow security are based on order-theoretical concepts, most commonly on lattice concepts. This paper presents a correspondence between security concepts and partial order concepts, by which the former become an…

Cryptography and Security · Computer Science 2024-03-13 Luigi Logrippo

A variety of idealized models of communication systems exist, and all may have something in common. Starting with Shannons communication model and ending with the OSI model, this paper presents progressively more advanced forms of modeling…

Networking and Internet Architecture · Computer Science 2009-12-04 Sabah Al Fedaghi , Alaa Alsaqa , Zahraa Fadel

Betweenness as a relation between three individual points has been widely studied in geometry and axiomatized by several authors in different contexts. The article proposes a more general notion of betweenness as a relation between three…

Logic · Mathematics 2020-06-16 Sanaz Azimipour , Pavel Naumov

Many dialogue systems (DSs) lack characteristics humans have, such as emotion perception, factuality, and informativeness. Enhancing DSs with knowledge alleviates this problem, but, as many ways of doing so exist, keeping track of all…

Computation and Language · Computer Science 2022-12-21 Sagi Shaier , Lawrence Hunter , Katharina Kann
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