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Statistical analysis on networks has received growing attention due to demand from various emerging applications. In dynamic networks, one of the key interests is to model the event history of time-stamped interactions amongst nodes. We…

Methodology · Statistics 2018-10-09 Tony Sit , Zhiliang Ying , Yi Yu

Generative models on discrete state-spaces have a wide range of potential applications, particularly in the domain of natural sciences. In continuous state-spaces, controllable and flexible generation of samples with desired properties has…

Machine Learning · Computer Science 2025-03-27 Hunter Nisonoff , Junhao Xiong , Stephan Allenspach , Jennifer Listgarten

We develop numerical and analytical approaches to calculate mutual information between complete paths of two molecular components embedded into a larger reaction network. In particular, we focus on a continuous-time Markov chain formalism,…

Molecular Networks · Quantitative Biology 2022-08-09 Anne-Lena Moor , Christoph Zechner

We consider a distributed estimation method in a setting with heterogeneous streams of correlated data distributed across nodes in a network. In the considered approach, linear models are estimated locally (i.e., with only local data)…

Machine Learning · Computer Science 2021-02-11 Lingzhou Hong , Alfredo Garcia , Ceyhun Eksin

Short-term traffic flow prediction is a vital branch of the Intelligent Traffic System (ITS) and plays an important role in traffic management. Graph convolution network (GCN) is widely used in traffic prediction models to better deal with…

Machine Learning · Computer Science 2022-05-11 Zhijun Chen , Zhe Lu , Qiushi Chen , Hongliang Zhong , Yishi Zhang , Jie Xue , Chaozhong Wu

Motivated by the numerous healthcare applications of molecular communication (MC) inside blood vessels, this work considers relay/cooperative nanomachine (CN)-assisted mobile MC between a source nanomachine (SN) and a destination…

Information Theory · Computer Science 2018-05-28 Neeraj Varshney , Adarsh Patel , Werner Haselmayr , Aditya K. Jagannatham , Pramod K. Varshney , Weisi Guo

We propose a universal method for data-driven modeling of complex nonlinear dynamics from time-resolved snapshot data without prior knowledge. Complex nonlinear dynamics govern many fields of science and engineering. Data-driven dynamic…

Data Analysis, Statistics and Probability · Physics 2020-11-02 Daniel Fernex , Bernd R. Noack , Richard Semaan

Temporal social networks are characterized by {heterogeneous} duration of contacts, which can either follow a power-law distribution, such as in face-to-face interactions, or a Weibull distribution, such as in mobile-phone communication.…

Physics and Society · Physics 2013-07-23 Kun Zhao , Márton Karsai , Ginestra Bianconi

In this study, we propose a design methodology of distributed controllers for multi-agent systems on a class of directed interaction networks by extending the gradient-flow method. Although the gradient-flow method is a common design tool…

Systems and Control · Electrical Eng. & Systems 2024-03-05 Yuto Watanabe , Kazunori Sakurama , Hyo-Sung Ahn

Data from social media are providing unprecedented opportunities to investigate the processes that rule the dynamics of collective social phenomena. Here, we consider an information theoretical approach to define and measure the temporal…

In many applications, for example when computing statistics of fast subsystems in a multiscale setting, we wish to find the stationary distributions of systems of continuous time Markov chains. Here we present a class of models that appears…

Probability · Mathematics 2016-09-20 David F. Anderson , Simon L. Cotter

We analyse diffusion dynamics on weakly-coupled networks (interconnected networks) by means of separation of time scales. Using an adiabatic approximation we reduced the system dynamics to a Markov chain with aggregated variables and…

Chaotic Dynamics · Physics 2018-12-14 Grzegorz Siudem , Janusz A. Hołyst

Networks are commonly used to define underlying interaction structures where infections, information, or other quantities may spread. Although the standard approach has been to aggregate all links into a static structure, some studies…

Physics and Society · Physics 2014-01-23 Luis Enrique Correa Rocha , Vincent D Blondel

We represent transport between different regions of a fluid domain by flow networks, constructed from the discrete representation of the Perron-Frobenius or transfer operator associated to the fluid advection dynamics. The procedure is…

Atmospheric and Oceanic Physics · Physics 2015-03-06 Enrico Ser-Giacomi , Vincent Rossi , Cristobal Lopez , Emilio Hernandez-Garcia

We introduce, test and discuss a method for classifying and clustering data modeled as directed graphs. The idea is to start diffusion processes from any subset of a data collection, generating corresponding distributions for reaching…

Machine Learning · Statistics 2015-06-26 Jimmy Dubuisson , Jean-Pierre Eckmann , Andrea Agazzi

Modern network systems, such as transportation and communication systems, are prone to cyber-physical disruptions and thus suffer efficiency loss. This paper studies network resiliency, in terms of throughput, and develops resilient control…

Systems and Control · Electrical Eng. & Systems 2025-01-08 Yu Tang , Li Jin

Deep neural networks (DNNs) have great potential to solve many real-world problems, but they usually require an extensive amount of computation and memory. It is of great difficulty to deploy a large DNN model to a single resource-limited…

Computer Vision and Pattern Recognition · Computer Science 2023-02-23 Minghai Qin , Chao Sun , Jaco Hofmann , Dejan Vucinic

Many dynamical systems can be successfully analyzed by representing them as networks. Empirically measured networks and dynamic processes that take place in these situations show heterogeneous, non-Markovian, and intrinsically correlated…

Congestion Control (CC) plays a fundamental role in optimizing traffic in Data Center Networks (DCN). Currently, DCNs mainly implement two main CC protocols: DCTCP and DCQCN. Both protocols -- and their main variants -- are based on…

Networking and Internet Architecture · Computer Science 2023-08-10 Guillermo Bernárdez , José Suárez-Varela , Xiang Shi , Shihan Xiao , Xiangle Cheng , Pere Barlet-Ros , Albert Cabellos-Aparicio

The aim of this paper is to study the derivation of appropriate meso- and macroscopic models for interactions as appearing in social processes. There are two main characteristics the models take into account, namely a network structure of…

Analysis of PDEs · Mathematics 2020-06-30 Martin Burger
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