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The graph identification problem consists of discovering the interactions among nodes in a network given their state/feature trajectories. This problem is challenging because the behavior of a node is coupled to all the other nodes by the…

Systems and Control · Electrical Eng. & Systems 2023-10-24 Eduardo Sebastian , Thai Duong , Nikolay Atanasov , Eduardo Montijano , Carlos Sagues

We consider a class of distributed submodular maximization problems in which each agent must choose a single strategy from its strategy set. The global objective is to maximize a submodular function of the strategies chosen by each agent.…

Data Structures and Algorithms · Computer Science 2017-06-14 Bahman Gharesifard , Stephen L. Smith

This paper addresses the problem of online learning in a dynamic setting. We consider a social network in which each individual observes a private signal about the underlying state of the world and communicates with her neighbors at each…

Optimization and Control · Mathematics 2013-10-02 Shahin Shahrampour , Alexander Rakhlin , Ali Jadbabaie

In this work, we propose to employ information-geometric tools to optimize a graph neural network architecture such as the graph convolutional networks. More specifically, we develop optimization algorithms for the graph-based…

Machine Learning · Computer Science 2020-08-25 Mohammad Rasool Izadi , Yihao Fang , Robert Stevenson , Lizhen Lin

We consider the problem of adapting a network trained on three-channel color images to a hyperspectral domain with a large number of channels. To this end, we propose domain adaptor networks that map the input to be compatible with a…

Computer Vision and Pattern Recognition · Computer Science 2021-08-04 Gustavo Perez , Subhransu Maji

We present a new "learning-to-learn"-type approach that enables rapid learning of concepts from small-to-medium sized training sets and is primarily designed for web-initialized image retrieval. At the core of our approach is a deep…

Computer Vision and Pattern Recognition · Computer Science 2017-10-30 A. Vakhitov , A. Kuzmin , V. Lempitsky

In this work, we explore the state-space formulation of network processes to recover the underlying structure of the network (local connections). To do so, we employ subspace techniques borrowed from system identification literature and…

Signal Processing · Electrical Eng. & Systems 2019-11-27 Mario Coutino , Elvin Isufi , Takanori Maehara , Geert Leus

It is a significant challenge to predict the network topology from a small amount of dynamical observations. Different from the usual framework of the node-based reconstruction, two optimization approaches (i.e., the global and partitioned…

Physics and Society · Physics 2016-03-03 Ming Xu , Chuan-Yun Xu , Huan Wang , Yong-Kui Li , Jing-Bo Hu , Ke-Fei Cao

The problem of unsupervised learning node embeddings in graphs is one of the important directions in modern network science. In this work we propose a novel framework, which is aimed to find embeddings by \textit{discriminating…

Machine Learning · Statistics 2020-01-24 Stanislav Tsepa , Maxim Panov

Graph neural networks (GNNs) are naturally distributed architectures for learning representations from network data. This renders them suitable candidates for decentralized tasks. In these scenarios, the underlying graph often changes with…

Machine Learning · Computer Science 2022-08-31 Zhan Gao , Fernando Gama , Alejandro Ribeiro

The statistical modeling of random networks has been widely used to uncover interaction mechanisms in complex systems and to predict unobserved links in real-world networks. In many applications, network connections are collected via…

Social and Information Networks · Computer Science 2023-03-21 Angus Chan , Tianxi Li

Designing spectral convolutional networks is a formidable task in graph learning. In traditional spectral graph neural networks (GNNs), polynomial-based methods are commonly used to design filters via the Laplacian matrix. In practical…

Machine Learning · Computer Science 2024-08-19 Gongpei Zhao , Tao Wang , Yi Jin , Congyan Lang , Yidong Li , Haibin Ling

The stochastic block model is able to generate different network partitions, ranging from traditional assortative communities to disassortative structures. Since the degree-corrected stochastic block model does not specify which mixing…

Social and Information Networks · Computer Science 2019-09-16 Xiaoyan Lu , Boleslaw K. Szymanski

This paper presents a distributed optimization scheme over a network of agents in the presence of cost uncertainties and over switching communication topologies. Inspired by recent advances in distributed convex optimization, we propose a…

Optimization and Control · Mathematics 2016-11-15 Saghar Hosseini , Airlie Chapman , Mehran Mesbahi

Network reconstruction is fundamental to understanding the dynamical behaviors of the networked systems. Many systems, modeled by multiplex networks with various types of interactions, display an entirely different dynamical behavior…

Physics and Society · Physics 2020-01-28 Mincheng Wu , Jiming Chen , Shibo He , Youxian Sun , Shlomo Havlin , Jianxi Gao

In this paper we present a general procedure that allows for the reduction or expansion of any network (considered as a weighted graph). This procedure maintains the spectrum of the network's adjacency matrix up to a set of eigenvalues…

Dynamical Systems · Mathematics 2011-11-15 L. A. Bunimovich , B. Z. Webb

This paper considers the network slicing (NS) problem which attempts to map multiple customized virtual network requests to a common shared network infrastructure and allocate network resources to meet diverse service requirements. This…

Information Theory · Computer Science 2024-09-26 Wei-Kun Chen , Zheyu Wu , Rui-Jin Zhang , Ya-Feng Liu , Yu-Hong Dai , Zhi-Quan Luo

Deep learning has shown promising results in many machine learning applications. The hierarchical feature representation built by deep networks enable compact and precise encoding of the data. A kernel analysis of the trained deep networks…

Machine Learning · Computer Science 2017-03-22 Mandar Kulkarni , Shirish Karande

We consider the broad class of decentralized optimal resource allocation problems in wireless networks, which can be formulated as a constrained statistical learning problems with a localized information structure. We develop the use of…

Signal Processing · Electrical Eng. & Systems 2022-05-11 Zhiyang Wang , Mark Eisen , Alejandro Ribeiro

In this paper, we consider the unconstrained distributed optimization problem, in which the exchange of information in the network is captured by a directed graph topology, thus, nodes can only communicate with their neighbors.…

Systems and Control · Electrical Eng. & Systems 2023-12-07 Apostolos I. Rikos , Wei Jiang , Themistoklis Charalambous , Karl H. Johansson