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This paper considers the problem of interpolating signals defined on graphs. A major presumption considered by many previous approaches to this problem has been lowpass/ band-limitedness of the underlying graph signal. However, inspired by…

Information Theory · Computer Science 2017-05-09 Mahdi Boloursaz Mashhadi , Maryam Fallah , Farokh Marvasti

Graph vertex sampling set selection aims at selecting a set of ver-tices of a graph such that the space of graph signals that can be reconstructed exactly from those samples alone is maximal. In this context, we propose to extend sampling…

Signal Processing · Electrical Eng. & Systems 2020-04-24 Benjamin Girault , Antonio Ortega , Shrikanth S. Narayayan

In applications such as social, energy, transportation, sensor, and neuronal networks, high-dimensional data naturally reside on the vertices of weighted graphs. The emerging field of signal processing on graphs merges algebraic and…

Discrete Mathematics · Computer Science 2015-06-12 David I Shuman , Sunil K. Narang , Pascal Frossard , Antonio Ortega , Pierre Vandergheynst

Graphs are naturally sparse objects that are used to study many problems involving networks, for example, distributed learning and graph signal processing. In some cases, the graph is not given, but must be learned from the problem and…

Machine Learning · Statistics 2017-08-31 Martin Sundin , Arun Venkitaraman , Magnus Jansson , Saikat Chatterjee

Recent results in compressed sensing showed that the optimal subsampling strategy should take into account the sparsity pattern of the signal at hand. This oracle-like knowledge, even though desirable, nevertheless remains elusive in most…

Information Theory · Computer Science 2023-06-28 Simon Ruetz

Large-scale graph machine learning is challenging as the complexity of learning models scales with the graph size. Subsampling the graph is a viable alternative, but sampling on graphs is nontrivial as graphs are non-Euclidean. Existing…

Machine Learning · Computer Science 2024-10-10 Thien Le , Luana Ruiz , Stefanie Jegelka

This paper deals with problem of blind identification of a graph filter and its sparse input signal, thus broadening the scope of classical blind deconvolution of temporal and spatial signals to irregular graph domains. While the…

Signal Processing · Electrical Eng. & Systems 2018-03-14 Chang Ye , Rasoul Shafipour , Gonzalo Mateos

In the analysis of real-world data, extracting meaningful features from signals is a crucial task. This is particularly challenging when signals contain non-stationary frequency components. The Iterative Filtering (IF) method has proven to…

Numerical Analysis · Mathematics 2026-04-01 Giuseppe Scarlato , Antonio Cicone , Marco Donatelli

With the advent of massive data outputs at a regular rate, admittedly, signal processing technology plays an increasingly key role. Nowadays, signals are not merely restricted to physical sources, they have been extended to digital sources…

Information Theory · Computer Science 2015-07-28 Yi Lu

Viral spread on large graphs has many real-life applications such as malware propagation in computer networks and rumor (or misinformation) spread in Twitter-like online social networks. Although viral spread on large graphs has been…

Probability · Mathematics 2013-10-09 Milan Bradonjić , Michael Molloy , Guanhua Yan

In numerous graph signal processing applications, data is often missing for a variety of reasons, and predicting the missing data is essential. In this paper, we consider data on graphs modeled as bandlimited graph signals. Predicting or…

Signal Processing · Electrical Eng. & Systems 2023-03-14 Ajinkya Jayawant , Antonio Ortega

Distributed processing of large-scale graph data has many practical applications and has been widely studied. In recent years, a lot of distributed graph processing frameworks and algorithms have been proposed. While many efforts have been…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-10-29 Lingkai Meng , Yu Shao , Long Yuan , Longbin Lai , Peng Cheng , Xue Li , Wenyuan Yu , Wenjie Zhang , Xuemin Lin , Jingren Zhou

As large graph datasets become increasingly common across many fields, sampling is often needed to reduce the graphs into manageable sizes. This procedure raises critical questions about representativeness as no sample can capture the…

Social and Information Networks · Computer Science 2025-02-25 Alan Zhu , Jiaqi Ma , Qiaozhu Mei

Reconstructing continuous signals from a small number of discrete samples is a fundamental problem across science and engineering. In practice, we are often interested in signals with 'simple' Fourier structure, such as bandlimited,…

Data Structures and Algorithms · Computer Science 2018-12-24 Haim Avron , Michael Kapralov , Cameron Musco , Christopher Musco , Ameya Velingker , Amir Zandieh

Sampling from a distribution $p(x) \propto e^{-\mathcal{E}(x)}$ known up to a normalising constant is an important and challenging problem in statistics. Recent years have seen the rise of a new family of amortised sampling algorithms,…

Machine Learning · Computer Science 2026-05-29 Arran Carter , Sanghyeok Choi , Kirill Tamogashev , Víctor Elvira , Esmeralda S. Whitammer

We study the sampling of spatial fields using sensors that are location-unaware but deployed according to a known statistical distribution. It has been shown that uniformly distributed location-unaware sensors cannot infer bandlimited…

Information Theory · Computer Science 2016-12-01 Ankur Mallick , Animesh Kumar

We tackle the problem of forecasting network-signal snapshots using past signal measurements acquired by a subset of network nodes. This task can be seen as a combination of multivariate time-series prediction and graph-signal…

Signal Processing · Electrical Eng. & Systems 2020-06-03 Gabriela Lewenfus , Wallace Alves Martins , Symeon Chatzinotas , Björn Ottersten

With the advancements in technology and monitoring tools, we often encounter multivariate graph signals, which can be seen as the realizations of multivariate graph processes, and revealing the relationship between their constituent…

Methodology · Statistics 2024-08-13 Kyusoon Kim , Hee-Seok Oh

Sampling theories lie at the heart of signal processing devices and communication systems. To accommodate high operating rates while retaining low computational cost, efficient analog-to digital (ADC) converters must be developed. Many of…

Information Theory · Computer Science 2010-10-12 Moslem Rashidi

Most real-world networks are noisy and incomplete samples from an unknown target distribution. Refining them by correcting corruptions or inferring unobserved regions typically improves downstream performance. Inspired by the impressive…