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In this paper, we present some results regarding the size complexity of Accepting Networks of Evolutionary Processors with Filtered Connections (ANEPFCs). We show that there are universal ANEPFCs of size 10, by devising a method for…

Formal Languages and Automata Theory · Computer Science 2009-07-30 Remco Loos , Florin Manea , Victor Mitrana

Many complex systems can be described in terms of networks of interacting units. Recent studies have shown that a wide class of both natural and artificial nets display a surprisingly widespread feature: the presence of highly heterogeneous…

Disordered Systems and Neural Networks · Physics 2007-05-23 R. Ferrer i Cancho , R. V. Sole

The irreducible complexity of natural phenomena has led Graph Neural Networks to be employed as a standard model to perform representation learning tasks on graph-structured data. While their capacity to capture local and global patterns is…

Machine Learning · Computer Science 2024-02-13 Lorenzo Giusti

Networks are fundamental building blocks for representing data, and computations. Remarkable progress in learning in structurally defined (shallow or deep) networks has recently been achieved. Here we introduce evolutionary exploratory…

Neural and Evolutionary Computing · Computer Science 2019-11-05 Rise Ooi , Chao-Han Huck Yang , Pin-Yu Chen , Vìctor Eguìluz , Narsis Kiani , Hector Zenil , David Gomez-Cabrero , Jesper Tegnèr

Heterogeneous information networks (HINs) can be used to model various real-world systems. As HINs consist of multiple types of nodes, edges, and node features, it is nontrivial to directly apply graph neural network (GNN) techniques in…

Machine Learning · Computer Science 2025-01-15 Zhaoqing Li , Maiqi Jiang , Shengyuan Chen , Bo Li , Guorong Chen , Xiao Huang

In this paper, we propose a hybrid nano communication (HNC) system that integrates three possible modes of nano communications: terahertz communication (TC), molecular communication (MC), and neural communication (NC). The paper provides…

Information Theory · Computer Science 2019-09-13 S. M. Riazul Islam , M. Jalil Piran , Anish P. Shreesta , Farman Ali , Asif Iqbal , Kyung-Sup Kwak

Hopf bifurcation in networks of coupled ODEs creates periodic states in which the relative phases of nodes are well defined near bifurcation. When the network is a fully inhomogeneous nearest-neighbour coupled unidirectional ring, and node…

Dynamical Systems · Mathematics 2024-04-15 Ian Stewart

Efficient collective communication is critical for many distributed ML and HPC applications. In this context, it is widely believed that the Ring algorithm for the AllReduce collective communication operation is optimal only for large…

Networking and Internet Architecture · Computer Science 2025-10-07 Sarah-Michelle Hammer , Stefan Schmid , Rachee Singh , Vamsi Addanki

Demand-aware communication networks are networks whose topology is optimized toward the traffic they need to serve. These networks have recently been enabled by novel optical communication technologies and are investigated intensively in…

Networking and Internet Architecture · Computer Science 2024-03-07 Maxim Buzdalov , Pavel Martynov , Sergey Pankratov , Vitaly Aksenov , Stefan Schmid

Growing graphs describe a multitude of developing processes from maturing brains to expanding vocabularies to burgeoning public transit systems. Each of these growing processes likely adheres to proliferation rules that establish an…

Quantitative Methods · Quantitative Biology 2020-05-27 Ann Sizemore Blevins , Danielle S. Bassett

Graph convolutional networks (GCNs) are a family of neural network models that perform inference on graph data by interleaving vertex-wise operations and message-passing exchanges across nodes. Concerning the latter, two key questions…

Machine Learning · Computer Science 2020-09-29 Indro Spinelli , Simone Scardapane , Aurelio Uncini

An important feature of many complex systems, both natural and artificial, is the structure and organization of their interaction networks with interesting properties. Here we present a theory of self-organization by evolutionary adaptation…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Venkat Venkatasubramanian , Santhoji Katare , Priyan R. Patkar , Fangping Mu

Interference management has become a key factor in regulating transmissions in wireless communication networks. To support effective interference management schemes, it can be essential to have prior knowledge about the network topology. In…

Information Theory · Computer Science 2021-01-01 Tolunay Seyfi , Ahmed P. Mohamed , Aly El Gamal

For applications on the extreme edge, minimal networks of only a few dozen artificial neurons for event detection and classification in discrete time signals would be highly desirable. Feed-forward networks, RNNs, and CNNs evolved through…

Machine Learning · Computer Science 2026-04-10 Christian Kroos , Fabian Küch

A communication network is called a radio network if its nodes exchange messages in the following restricted way. First, a send operation performed by a node delivers copies of the same message to all directly reachable nodes. Secondly, a…

Networking and Internet Architecture · Computer Science 2018-01-03 Bogdan S. Chlebus

In this empirical paper, we investigate how learning agents can be arranged in more efficient communication topologies for improved learning. This is an important problem because a common technique to improve speed and robustness of…

Machine Learning · Computer Science 2019-03-05 Dhaval Adjodah , Dan Calacci , Abhimanyu Dubey , Peter Krafft , Esteban Moro , Alex `Sandy' Pentland

We currently witness the emergence of interesting new network topologies optimized towards the traffic matrices they serve, such as demand-aware datacenter interconnects (e.g., ProjecToR) and demand-aware overlay networks (e.g., SplayNets).…

Networking and Internet Architecture · Computer Science 2017-05-23 Chen Avin , Alexandr Hercules , Andreas Loukas , Stefan Schmid

Recently, neural network architectures have been developed to accommodate when the data has the structure of a graph or, more generally, a hypergraph. While useful, graph structures can be potentially limiting. Hypergraph structures in…

Algebraic Topology · Mathematics 2020-12-14 Eric Bunch , Qian You , Glenn Fung , Vikas Singh

Cyclic patterns of neuronal activity are ubiquitous in animal nervous systems, and partially responsible for generating and controlling rhythmic movements such as locomotion, respiration, swallowing and so on. Clarifying the role of the…

Neural and Evolutionary Computing · Computer Science 2013-08-26 Chuan Zhang , Gerhard Dangelmayr , Iuliana Oprea

Approximate-message passing (AMP) algorithms have become an important element of high-dimensional statistical inference, mostly due to their adaptability and concentration properties, the state evolution (SE) equations. This is demonstrated…

Information Theory · Computer Science 2022-04-20 Cédric Gerbelot , Raphaël Berthier
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