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As an alternative to the traditional sampling theory, compressed sensing allows acquiring much smaller amount of data, still estimating the spectra of frequency-sparse signals accurately. However, compressed sensing usually requires random…

Information Theory · Computer Science 2016-07-22 Shan Huang , Hong Sun , Haijian Zhang , Lei Yu

This paper studies the problem of embedding very large information networks into low-dimensional vector spaces, which is useful in many tasks such as visualization, node classification, and link prediction. Most existing graph embedding…

Machine Learning · Computer Science 2015-03-13 Jian Tang , Meng Qu , Mingzhe Wang , Ming Zhang , Jun Yan , Qiaozhu Mei

Reducing a graph while preserving its overall properties is an important problem with many applications. Typically, reduction approaches either remove edges (sparsification) or merge nodes (coarsening) in an unsupervised way with no…

Machine Learning · Computer Science 2025-04-09 Maria Bånkestad , Jennifer R. Andersson , Sebastian Mair , Jens Sjölund

Line spectral estimation theory aims to estimate the off-the-grid spectral components of a time signal with optimal precision. Recent results have shown that it is possible to recover signals having sparse line spectra from few temporal…

Information Theory · Computer Science 2017-01-31 Maxime Ferreira Da Costa , Wei Dai

Graph sketching has emerged as a powerful technique for processing massive graphs that change over time (i.e., are presented as a dynamic stream of edge updates) over the past few years, starting with the work of Ahn, Guha and McGregor…

Data Structures and Algorithms · Computer Science 2019-03-29 Michael Kapralov , Aida Mousavifar , Cameron Musco , Christopher Musco , Navid Nouri

Sketching algorithms or sketches have emerged as a promising alternative to the traditional packet sampling-based network telemetry solutions. At a high level, they are attractive because of their high resource efficiency and accuracy…

Networking and Internet Architecture · Computer Science 2020-12-14 Zaoxing Liu , Hun Namkung , Anup Agarwal , Antonis Manousis , Peter Steenkiste , Srinivasan Seshan , Vyas Sekar

We study the problem of sampling a bandlimited graph signal in the presence of noise, where the objective is to select a node subset of prescribed cardinality that minimizes the signal reconstruction mean squared error (MSE). To that end,…

Machine Learning · Statistics 2017-11-02 Abolfazl Hashemi , Rasoul Shafipour , Haris Vikalo , Gonzalo Mateos

In this era of data deluge, many signal processing and machine learning tasks are faced with high-dimensional datasets, including images, videos, as well as time series generated from social, commercial and brain network interactions. Their…

Machine Learning · Computer Science 2018-03-30 Yanning Shen , Panagiotis A. Traganitis , Georgios B. Giannakis

Compressed sensing is a technique for recovering a high-dimensional signal from lower-dimensional data, whose components represent partial information about the signal, utilizing prior knowledge on the sparsity of the signal. For further…

Information Theory · Computer Science 2014-02-18 Yingying Xu , Yoshiyuki Kabashima

Learning a smooth graph signal from partially observed data is a well-studied task in graph-based machine learning. We consider this task from the perspective of optimal recovery, a mathematical framework for learning a function from…

Machine Learning · Computer Science 2023-05-31 Simon Foucart , Chunyang Liao , Nate Veldt

Multiple stochastic signals possess inherent statistical correlations, yet conventional sampling methods that process each channel independently result in data redundancy. To leverage this correlation for efficient sampling, we model…

Signal Processing · Electrical Eng. & Systems 2025-09-18 Lin Jin , Hang Sheng , Hui Feng , Bo Hu

Graph representation learning has been extensively studied in recent years. Despite its potential in generating continuous embeddings for various networks, both the effectiveness and efficiency to infer high-quality representations toward…

Machine Learning · Computer Science 2020-06-26 Zhen Yang , Ming Ding , Chang Zhou , Hongxia Yang , Jingren Zhou , Jie Tang

Network representation learning, as an approach to learn low dimensional representations of vertices, has attracted considerable research attention recently. It has been proven extremely useful in many machine learning tasks over large…

Machine Learning · Computer Science 2019-06-11 Hao Peng , Jianxin Li , Hao Yan , Qiran Gong , Senzhang Wang , Lin Liu , Lihong Wang , Xiang Ren

In this work an iterative solution to build a network lifetime-preserving sampling strategy for WSNs is presented. The paper describes the necessary steps to reconstruct a graph from application data. Once the graph structure is obtained, a…

Signal Processing · Electrical Eng. & Systems 2019-06-26 Alessandro Chiumento , Nicola Marchetti , Irene Macaluso

We introduce Tiered Sampling, a novel technique for approximate counting sparse motifs in massive graphs whose edges are observed in a stream. Our technique requires only a single pass on the data and uses a memory of fixed size $M$, which…

Data Structures and Algorithms · Computer Science 2017-10-06 Lorenzo De Stefani , Erisa Terolli , Eli Upfal

In this work we propose a new paradigm for designing efficient deep unrolling networks using operator sketching. The deep unrolling networks are currently the state-of-the-art solutions for imaging inverse problems. However, for…

Computer Vision and Pattern Recognition · Computer Science 2022-06-07 Junqi Tang , Subhadip Mukherjee , Carola-Bibiane Schönlieb

This paper studies graph-based active learning, where the goal is to reconstruct a binary signal defined on the nodes of a weighted graph, by sampling it on a small subset of the nodes. A new sampling algorithm is proposed, which…

Machine Learning · Computer Science 2016-05-19 Eyal En Gad , Akshay Gadde , A. Salman Avestimehr , Antonio Ortega

Applications in various domains rely on processing graph streams, e.g., communication logs of a cloud-troubleshooting system, road-network traffic updates, and interactions on a social network. A labeled-graph stream refers to a sequence of…

Databases · Computer Science 2017-09-21 Mohamed S. Hassan , Bruno Ribeiro , Walid G. Aref

We survey a new paradigm in signal processing known as "compressive sensing". Contrary to old practices of data acquisition and reconstruction based on the Shannon-Nyquist sampling principle, the new theory shows that it is possible to…

History and Overview · Mathematics 2009-03-13 Olga Holtz

Graph signal processing represents an important advancement in the field of data analysis, extending conventional signal processing methodologies to complex networks and thereby facilitating the exploration of informative patterns and…

Signal Processing · Electrical Eng. & Systems 2024-06-07 Keivan Faghih Niresi , Lucas Kuhn , Gaëtan Frusque , Olga Fink