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In this paper the focus is on subsampling as well as reconstructing the second-order statistics of signals residing on nodes of arbitrary undirected graphs. Second-order stationary graph signals may be obtained by graph filtering zero-mean…

Information Theory · Computer Science 2018-05-08 Sundeep Prabhakar Chepuri , Geert Leus

The design of energy and spectrally efficient Wireless Sensor Networks (WSN) is crucial to support the upcoming expansion of IoT/M2M mobile data traffic. In this work, we consider an energy harvesting WSN where sensor data are periodically…

Information Theory · Computer Science 2017-06-26 Megumi Kaneko , Gene Cheung , Weng-tai Su , Chia-Wen Lin

Many modern data analytics applications on graphs operate on domains where graph topology is not known a priori, and hence its determination becomes part of the problem definition, rather than serving as prior knowledge which aids the…

Information Theory · Computer Science 2020-01-03 Ljubisa Stankovic , Danilo Mandic , Milos Dakovic , Milos Brajovic , Bruno Scalzo , Shengxi Li , Anthony G. Constantinides

Inferring graph structure from observations on the nodes is an important and popular network science task. Departing from the more common inference of a single graph and motivated by social and biological networks, we study the problem of…

Machine Learning · Statistics 2020-10-19 Madeline Navarro , Yuhao Wang , Antonio G. Marques , Caroline Uhler , Santiago Segarra

We study blind deconvolution of signals defined on the nodes of an undirected graph. Although observations are bilinear functions of both unknowns, namely the forward convolutional filter coefficients and the graph signal input, a filter…

Signal Processing · Electrical Eng. & Systems 2024-12-20 Chang Ye , Gonzalo Mateos

This work aims at recovering signals that are sparse on graphs. Compressed sensing offers techniques for signal recovery from a few linear measurements and graph Fourier analysis provides a signal representation on graph. In this paper, we…

Machine Learning · Computer Science 2015-06-22 Xavier Bresson , Thomas Laurent , James von Brecht

Graph learning is often a necessary step in processing or representing structured data, when the underlying graph is not given explicitly. Graph learning is generally performed centrally with a full knowledge of the graph signals, namely…

Signal Processing · Electrical Eng. & Systems 2021-12-14 Isabela Cunha Maia Nobre , Mireille El Gheche , Pascal Frossard

When approaching graph signal processing tasks, graphs are usually assumed to be perfectly known. However, in many practical applications, the observed (inferred) network is prone to perturbations which, if ignored, will hinder performance.…

Signal Processing · Electrical Eng. & Systems 2021-03-11 Samuel Rey , Antonio G. Marques

We propose a model-agnostic pipeline to recover graph signals from an expert system by exploiting the content addressable memory property of restricted Boltzmann machine and the representational ability of a neural network. The proposed…

Machine Learning · Computer Science 2020-11-23 Ankith Mohan , Aiichiro Nakano , Emilio Ferrara

Graph Neural Networks (GNN) exhibit superior performance in graph representation learning, but their inference cost can be high, due to an aggregation operation that can require a memory fetch for a very large number of nodes. This…

Machine Learning · Computer Science 2025-03-18 Yaochen Hu , Mai Zeng , Ge Zhang , Pavel Rumiantsev , Liheng Ma , Yingxue Zhang , Mark Coates

Graph signal processing (GSP) deals with the representation, analysis, and processing of structured data, i.e. graph signals that are defined on the vertex set of a generic graph. A crucial prerequisite for applying various GSP and graph…

Signal Processing · Electrical Eng. & Systems 2024-10-28 Lital Dabush , Tirza Routtenberg

In this paper we focus on subsampling stationary random processes that reside on the vertices of undirected graphs. Second-order stationary graph signals are obtained by filtering white noise and they admit a well-defined power spectrum.…

Information Theory · Computer Science 2018-05-08 Sundeep Prabhakar Chepuri , Geert Leus

We address the problem of inferring an undirected graph from nodal observations, which are modeled as non-stationary graph signals generated by local diffusion dynamics that depend on the structure of the unknown network. Using the…

Signal Processing · Electrical Eng. & Systems 2019-02-01 Rasoul Shafipour , Santiago Segarra , Antonio G. Marques , Gonzalo Mateos

We consider an important class of signal processing problems where the signal of interest is known to be sparse, and can be recovered from data given auxiliary information about how the data was generated. For example, a sparse Green's…

Optimization and Control · Mathematics 2012-12-06 Aleksandr Y. Aravkin , Tristan van Leeuwen , Ning Tu

Graph signal processing (GSP) is a prominent framework for analyzing signals on non-Euclidean domains. The graph Fourier transform (GFT) uses the combinatorial graph Laplacian matrix to reveal the spectral decomposition of signals in the…

Machine Learning · Computer Science 2024-06-13 Changhao Shi , Gal Mishne

Graph signal processing (GSP) is a key tool for satisfying the growing demand for information processing over networks. However, the success of GSP in downstream learning and inference tasks is heavily dependent on the prior identification…

Signal Processing · Electrical Eng. & Systems 2021-03-29 Seyed Saman Saboksayr , Gonzalo Mateos , Mujdat Cetin

Graph Convolutional Networks (GCNs) have emerged as the state-of-the-art method for graph-based learning tasks. However, training GCNs at scale is still challenging, hindering both the exploration of more sophisticated GCN architectures and…

Machine Learning · Computer Science 2022-03-29 Cheng Wan , Youjie Li , Ang Li , Nam Sung Kim , Yingyan Lin

In this paper, we provide a Graph Fourier Transform based approach to downsample signals on graphs. For bandlimited signals on a graph, a test is provided to identify whether signal reconstruction is possible from the given downsampled…

Other Statistics · Statistics 2016-12-23 Nileshkumar Vaishnav , Aditya Tatu

The collaborative filtering (CF) problem with only user-item interaction information can be solved by graph signal processing (GSP), which uses low-pass filters to smooth the observed interaction signals on the similarity graph to obtain…

Information Retrieval · Computer Science 2023-02-07 Jiahao Liu , Dongsheng Li , Hansu Gu , Tun Lu , Peng Zhang , Li Shang , Ning Gu

In the Network Inference problem, one seeks to recover the edges of an unknown graph from the observations of cascades propagating over this graph. In this paper, we approach this problem from the sparse recovery perspective. We introduce a…

Social and Information Networks · Computer Science 2024-11-14 Jean Pouget-Abadie , Thibaut Horel