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Simulating Partial Differential Equations with Neural Networks
In this paper, we present a novel approach for simulating solutions of partial differential equations using neural networks. We consider a...
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Epidemic Spreading on Complex Networks as Front Propagation into an Unstable State
We study epidemic arrival times in meta-population disease models through the lens of front propagation into unstable states. We demonstrate that...
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Growing Spatial Networks
Most networks, including spatial graphs, evolve and grow in time. Understanding the main processes governing this growth and the resulting structure...
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Algebraic Structures and Social Processes
There has long been an interest among social scientists in the use of algebraic structures to analyze social data. Many popular approaches are...
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Model for the Evolution of the Distributions of the Degrees of the Vertices of Social Network Graphs
AbstractThe distributions of the degrees of the vertices of the network graph formed by the friendships of the VKontakte social network are...
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The dynamics of the fractional SEIQR malware spread model on wireless sensor networks
Wireless sensor network (WSN) is a collection of sensing devices that can communicate wirelessly. Unfortunately, these sensors are often susceptible...
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Modelling community structure and temporal spreading on complex networks
We present methods for analysing hierarchical and overlap** community structure and spreading phenomena on complex networks. Different models can...
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Learning Ice Accretion with Graph Neural Networks
AbstractRecent progress of machine learning on graphs allowed to apply deep learning methods on spatial data such as meshes and point clouds....
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Building Social Networks Under Consent: A Survey
During the past two decades there has emerged an extensive literature on game-theoretic models of network formation. Seminally, the fundamentals of...
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New results on stabilization of complex-valued second-order Memristive neural networks with mixed delays and discontinuous activations functions
This paper states the objective of investigating the finite-time stabilization and fixed-time stabilization analysis for complex-valued second-order...
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Dynamic Resource Allocation Networks in Marketing: Comparing the Effectiveness of Control Methods
The discrete- and continuous-time network models of opinions control and resource allocation in marketing are considered. Three cases of interaction...
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The frustum network model based on clique extension
The frustum model simulates network evolution by extending cliques, which represent highly interacting groups in social networks. In each time-step,...
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A game-theoretical dynamic imitation model on networks
A game-theoretical model is constructed to capture the effect of imitation on the evolution of cooperation. This imitation describes the case where...
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From Complex to Spatial Networks
The study of spatial networks—networks embedded in space—started essentially with quantitative geographers in the 60-70s who studied the structure...
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On the Selection of Leaders for the Controllability of Multi-agent Networks
This work studies the controllability property of consensus problem of multi-agent networks in leader–follower framework over the random-walk...
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Wikipedia and the Portrayal of Collaborative Networks of Nineteenth-Century British Mathematicians
Collaboration is key to research but it is often hard to assess and evaluate. Understanding how collaborative networks developed in different...
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Asymptotic in the Ordered Networks with a Noisy Degree Sequence
In the case of the differential privacy under the Laplace mechanism, the asymptotic properties of parameter estimators have been derived in some...
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The Social Constitution of Mathematical Knowledge: Objectivity, Semantics, and Axiomatics
The philosophy of mathematical practice sometimes investigates the social constitution of mathematics but does not always make explicit the...
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NPTC-net: Narrow-Band Parallel Transport Convolutional Neural Networks on Point Clouds
Convolution plays a crucial role in various applications in signal and image processing, analysis, and recognition. It is also the main building...
