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This work discusses tensor network embeddings, which are random matrices ($S$) with tensor network structure. These embeddings have been used to perform dimensionality reduction of tensor network structured inputs $x$ and accelerate…

Numerical Analysis · Mathematics 2022-05-27 Linjian Ma , Edgar Solomonik

We present an algorithm that enumerates all the minimal triangulations of a graph in incremental polynomial time. Consequently, we get an algorithm for enumerating all the proper tree decompositions, in incremental polynomial time, where…

Data Structures and Algorithms · Computer Science 2023-07-28 Nofar Carmeli , Batya Kenig , Benny Kimelfeld , Markus Kröll

We examine the problem of creating an encoded distributed storage representation of a data object for a network of mobile storage nodes so as to achieve the optimal recovery delay. A source node creates a single data object and disseminates…

Information Theory · Computer Science 2016-11-17 Derek Leong , Alexandros G. Dimakis , Tracey Ho

Low-dimensional node embeddings play a key role in analyzing graph datasets. However, little work studies exactly what information is encoded by popular embedding methods, and how this information correlates with performance in downstream…

Machine Learning · Computer Science 2021-02-18 Sudhanshu Chanpuriya , Cameron Musco , Konstantinos Sotiropoulos , Charalampos E. Tsourakakis

The increasing popularity of cloud computing has resulted in a proliferation of data centers. Effective placement of data centers improves network performance and minimizes clients' perceived latency. The problem of determining the optimal…

Networking and Internet Architecture · Computer Science 2018-02-06 Wuqiong Luo , Wee Peng Tay , Peng Sun , Yonggang Wen

Graph clustering (or community detection) has long drawn enormous attention from the research on web mining and information networks. Recent literature on this topic has reached a consensus that node contents and link structures should be…

Social and Information Networks · Computer Science 2017-12-25 Carl Yang , Mengxiong Liu , Zongyi Wang , Liyuan Liu , Jiawei Han

Network embedding has recently emerged as a promising technique to embed nodes of a network into low-dimensional vectors. While fairly successful, most existing works focus on the embedding techniques for static networks. But in practice,…

Social and Information Networks · Computer Science 2020-10-28 Zenan Xu , Zijing Ou , Qinliang Su , Jianxing Yu , Xiaojun Quan , Zhenkun Lin

In this work, we present a method for node embedding in temporal graphs. We propose an algorithm that learns the evolution of a temporal graph's nodes and edges over time and incorporates this dynamics in a temporal node embedding framework…

Machine Learning · Computer Science 2021-05-20 Uriel Singer , Ido Guy , Kira Radinsky

Graph embedding has become an increasingly important technique for analyzing graph-structured data. By representing nodes in a graph as vectors in a low-dimensional space, graph embedding enables efficient graph processing and analysis…

Machine Learning · Computer Science 2023-09-13 Hamidreza Lotfalizadeh , Mohammad Al Hasan

Consider robot swarm wireless networks where mobile robots offload their computing tasks to a computing server located at the mobile edge. Our aim is to maximize the swarm lifetime through efficient exploitation of the correlation between…

Systems and Control · Electrical Eng. & Systems 2023-01-26 Siqi Zhang , Na Yi , Yi Ma

In this paper, we introduce a method called graph fusion embedding, designed for multi-graph embedding with shared vertex sets. Under the framework of supervised learning, our method exhibits a remarkable and highly desirable synergistic…

Social and Information Networks · Computer Science 2024-06-27 Cencheng Shen , Carey E. Priebe , Jonathan Larson , Ha Trinh

We consider the problem of distributing a file in a network of storage nodes whose storage budget is limited but at least equals to the size file. We first generate $T$ encoded symbols (from the file) which are then distributed among the…

Information Theory · Computer Science 2010-05-31 Mohsen Sardari , Ricardo Restrepo , Faramarz Fekri , Emina Soljanin

Increased attention has been paid over the last four years to dynamic network embedding. Existing dynamic embedding methods, however, consider the problem as limited to the evolution of a topology over a sequence of global, discrete states.…

Machine Learning · Computer Science 2021-11-23 David Bayani

Graph embedding is a transformation of vertices of a graph into set of vectors. Good embeddings should capture the graph topology, vertex-to-vertex relationship, and other relevant information about graphs, subgraphs, and vertices. If these…

Social and Information Networks · Computer Science 2021-02-17 Bogumil Kaminski , Pawel Pralat , Francois Theberge

Low-dimensional representations, or embeddings, of a graph's nodes facilitate several practical data science and data engineering tasks. As such embeddings rely, explicitly or implicitly, on a similarity measure among nodes, they require…

Machine Learning · Computer Science 2023-01-06 Anton Tsitsulin , Marina Munkhoeva , Davide Mottin , Panagiotis Karras , Ivan Oseledets , Emmanuel Müller

Solving linear programs is often a challenging task in distributed settings. While there are good algorithms for solving packing and covering linear programs in a distributed manner (Kuhn et al.~2006), this is essentially the only class of…

Data Structures and Algorithms · Computer Science 2017-09-12 Michael Dinitz , Yasamin Nazari

This work considers the distributed computation of the one-to-one vertex correspondences between two undirected and connected graphs, which is called \textit{graph matching}, over multi-agent networks. Given two \textit{isomorphic} and…

Optimization and Control · Mathematics 2020-02-21 Quoc Van Tran , Zhiyong Sun , Brian D. O. Anderson , Hyo-Sung Ahn

Social network analysis provides meaningful information about behavior of network members that can be used for diverse applications such as classification, link prediction. However, network analysis is computationally expensive because of…

Social and Information Networks · Computer Science 2018-07-30 Mohammad Mehdi Keikha , Maseud Rahgozar , Masoud Asadpour

Node embedding is the task of extracting concise and informative representations of certain entities that are connected in a network. Various real-world networks include information about both node connectivity and certain node attributes,…

Social and Information Networks · Computer Science 2022-02-24 Charilaos I. Kanatsoulis , Nicholas D. Sidiropoulos

In this paper, we describe a conceptual design methodology to design distributed neural network architectures that can perform efficient inference within sensor networks with communication bandwidth constraints. The different sensor…

Machine Learning · Computer Science 2022-10-17 Thomas Strypsteen , Alexander Bertrand