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We classify modules and rings with some specific properties of their intersection graphs. In particular, we describe rings with infinite intersection graphs containing maximal left ideals of finite degree. This answers a question raised in…

Rings and Algebras · Mathematics 2017-07-26 Jerzy Matczuk , Marta Nowakowska , Edmund R. Puczyłowski

It has been recently shown (Bartlett et al. 2003) that information encoded into relative degrees of freedom enables communication without a common reference frame using entangled bipartite states. In this case the relative information…

Quantum Physics · Physics 2009-11-13 T. Vértesi

Improved mobility not only contributes to more intensive human activities but also facilitates the spread of communicable disease, thus constituting a major threat to billions of urban commuters. In this study, we present a multi-city…

Physics and Society · Physics 2020-02-11 Xinwu Qian , Lijun Sun , Satish V. Ukkusuri

Large language models (LLMs) have exhibited considerable cross-lingual generalization abilities, whereby they implicitly transfer knowledge across languages. However, the transfer is not equally successful for all languages, especially for…

Computation and Language · Computer Science 2023-12-25 Ningyu Xu , Qi Zhang , Jingting Ye , Menghan Zhang , Xuanjing Huang

The main purposes of this study are to distinguish the trends of research in publication exits for the utilisations of the fuzzy expert and knowledge-based systems that is done based on the classification of studies in the last decade. The…

Artificial Intelligence · Computer Science 2019-09-20 Mina Rajabi , Saeed Hossani , Fatemeh Dehghani

A fundamental problem in the study of complex networks is to provide quantitative measures of correlation and information flow between different parts of a system. To this end, several notions of communicability have been introduced and…

Physics and Society · Physics 2015-04-08 Ernesto Estrada , Naomichi Hatano , Michele Benzi

In this paper, we will show that (1) the results about the fuzzy reasoning algoritm obtained in the paper "Computer Sciences Vol. 34, No.4, pp.145-148, 2007" according to the paper "IEEE Transactions On systems, Man and cybernetics, 18,…

Artificial Intelligence · Computer Science 2017-12-14 Son-Il Kwak , Oh-Chol Gwon , Chung-Jin Kwak

Communication in a network generally takes place through a sequence of intermediate nodes connected by communication channels. In the standard theory of communication, it is assumed that the communication network is embedded in a classical…

Search systems are increasingly used for gaining knowledge through accessing relevant resources from a vast volume of content. However, search systems provide only limited support to users in knowledge acquisition contexts. Specifically,…

Information Retrieval · Computer Science 2022-04-26 Yasin Ghafourian

There are typically several nonisomorphic graphs having a given degree sequence, and for any two degree sequence terms it is often possible to find a realization in which the corresponding vertices are adjacent and one in which they are…

Combinatorics · Mathematics 2019-09-17 Michael D. Barrus

Since categories are graphs with additional "structure", one should start from fuzzy graphs in order to define a theory of fuzzy categories. Thus is makes sense to introduce categories whose morphisms are associated with a plausibility…

Logic in Computer Science · Computer Science 2014-10-07 Apostolos Syropoulos

The paper provided a description of a new model of information retrieval, which is an extension of vector-space model and is based on the principles of the theory of hypercomplex numerical systems. The model allows to some extent realize…

Information Retrieval · Computer Science 2012-05-15 D. V. Lande , Ya. A. Kalinovskiy , Yu. E. Boyarinova

We address the practical problems of estimating the information relations that characterize large networks. Building on methods developed for analysis of the neural code, we show that reliable estimates of mutual information can be obtained…

Information Theory · Computer Science 2007-07-13 Noam Slonim , Gurinder S. Atwal , Gasper Tkacik , William Bialek

We generalize the notion of identities among relations, well known for presentations of groups, to presentations of n-categories by polygraphs. To each polygraph, we associate a track n-category, generalizing the notion of crossed module…

Category Theory · Mathematics 2011-05-13 Yves Guiraud , Philippe Malbos

Information-theoretic quantities reveal dependencies among variables in the structure of joint, marginal, and conditional entropies, but leave some fundamentally different systems indistinguishable. Furthermore, there is no consensus on how…

Information Theory · Computer Science 2023-05-09 Abel Jansma

Complex systems are characterized by multiple spatial and temporal scales. A natural framework to capture their multiscale nature is that of multilayer networks, where different layers represent distinct physical processes that often…

Statistical Mechanics · Physics 2024-04-29 Giorgio Nicoletti , Daniel Maria Busiello

There is a wide variety of message-passing communication models, ranging from synchronous ''rendez-vous'' communications to fully asynchronous/out-of-order communications. For large-scale distributed systems, the communication model is…

Computation and Language · Computer Science 2023-01-16 Cinzia Di Giusto , Davide Ferré , Laetitia Laversa , Etienne Lozes

The integration of reasoning and computation services across system and language boundaries is a challenging problem of computer science. In this paper, we use integration for the scenario where we have two systems that we integrate by…

Logic in Computer Science · Computer Science 2011-09-20 Florian Rabe , Michael Kohlhase , Claudio Sacerdoti Coen

Knowledge graphs enable data scientists to learn end-to-end on heterogeneous knowledge. However, most end-to-end models solely learn from the relational information encoded in graphs' structure: raw values, encoded as literal nodes, are…

Machine Learning · Computer Science 2023-09-06 W. X. Wilcke , P. Bloem , V. de Boer , R. H. van t Veer

We propose a new formalism for specifying and reasoning about problems that involve heterogeneous "pieces of information" -- large collections of data, decision procedures of any kind and complexity and connections between them. The essence…

Logic in Computer Science · Computer Science 2016-12-30 Eugenia Ternovska