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We introduce a novel uncertainty principle for generalized graph signals that extends classical time-frequency and graph uncertainty principles into a unified framework. By defining joint vertex-time and spectral-frequency spreads, we…

Signal Processing · Electrical Eng. & Systems 2024-09-09 Yanan Zhao , Xingchao Jian , Feng Ji , Wee Peng Tay , Antonio Ortega

We introduce two novel visualization designs to support practitioners in performing identification and discrimination tasks on large value ranges (i.e., several orders of magnitude) in time-series data: (1) The order of magnitude horizon…

Human-Computer Interaction · Computer Science 2023-11-01 Daniel Braun , Rita Borgo , Max Sondag , Tatiana von Landesberger

Google uses continuous streams of data from industry partners in order to deliver accurate results to users. Unexpected drops in traffic can be an indication of an underlying issue and may be an early warning that remedial action may be…

Machine Learning · Statistics 2017-08-15 Dominique T. Shipmon , Jason M. Gurevitch , Paolo M. Piselli , Stephen T. Edwards

A physical (e.g. astrophysical, geophysical, meteorological etc.) data may appear as an output of an experiment or it may contain some sociological, economic or biological information. Whatever be the source of a time series data some…

Astrophysics · Physics 2007-05-23 Koushik Ghosh , Probhas Raychaudhuri

Community detection in graphs is the problem of finding groups of vertices which are more densely connected than they are to the rest of the graph. This problem has a long history, but it is undergoing a resurgence of interest due to the…

Computational Complexity · Computer Science 2017-08-25 Cristopher Moore

In this paper, we propose a multi-object detection and tracking method using depth cameras. Depth maps are very noisy and obscure in object detection. We first propose a region-based method to suppress high magnitude noise which cannot be…

Computer Vision and Pattern Recognition · Computer Science 2016-03-15 Sachin Mehta , Balakrishnan Prabhakaran

Time series clustering poses a significant challenge with diverse applications across domains. A prominent drawback of existing solutions lies in their limited interpretability, often confined to presenting users with centroids. In…

Machine Learning · Computer Science 2025-02-19 Paul Boniol , Donato Tiano , Angela Bonifati , Themis Palpanas

Recovering an image from a noisy observation is a key problem in signal processing. Recently, it has been shown that data-driven approaches employing convolutional neural networks can outperform classical model-based techniques, because…

Image and Video Processing · Electrical Eng. & Systems 2019-05-30 Diego Valsesia , Giulia Fracastoro , Enrico Magli

We propose an end-to-end architecture for multivariate time-series prediction that integrates a spatial-temporal graph neural network with a matrix filtering module. This module generates filtered (inverse) correlation graphs from…

Machine Learning · Computer Science 2022-03-09 Yuanrong Wang , Tomaso Aste

Graphs and network data are ubiquitous across a wide spectrum of scientific and application domains. Often in practice, an input graph can be considered as an observed snapshot of a (potentially continuous) hidden domain or process.…

Computational Geometry · Computer Science 2018-10-24 Srinivasan Parthasarathy , David Sivakoff , Minghao Tian , Yusu Wang

Graph learning problems are typically approached by focusing on learning the topology of a single graph when signals from all nodes are available. However, many contemporary setups involve multiple related networks and, moreover, it is…

Signal Processing · Electrical Eng. & Systems 2022-12-06 Samuel Rey , Madeline Navarro , Andrei Buciulea , Santiago Segarra , Antonio G. Marques

Relationships among time series can be exploited as inductive biases in learning effective forecasting models. In hierarchical time series, relationships among subsets of sequences induce hard constraints (hierarchical inductive biases) on…

Machine Learning · Computer Science 2024-08-22 Andrea Cini , Danilo Mandic , Cesare Alippi

We introduce the notion of watching systems in graphs, which is a generalization of that of identifying codes. We give some basic properties of watching systems, an upper bound on the minimum size of a watching system, and results on the…

Discrete Mathematics · Computer Science 2010-05-06 David Auger , Irène Charon , Olivier Hudry , Antoine Lobstein

Data analysts often need to work with multiple series of data---conventionally shown as line charts---at once. Few visual representations allow analysts to view many lines simultaneously without becoming overwhelming or cluttered. In this…

Human-Computer Interaction · Computer Science 2018-09-07 Dominik Moritz , Danyel Fisher

Mutual visibility in graphs provides a framework for analysing how vertices can observe one another along shortest paths free of internal obstructions. The visibility polynomial, which enumerates mutual-visibility sets of all orders, has…

Combinatorics · Mathematics 2026-04-10 Tonny K B , Shikhi M

In many applications, the observations can be represented as a signal defined over the vertices of a graph. The analysis of such signals requires the extension of standard signal processing tools. In this work, first, we provide a class of…

Discrete Mathematics · Computer Science 2016-08-24 Mikhail Tsitsvero , Sergio Barbarossa , Paolo Di Lorenzo

This paper provides a new strategy for the Heterogeneous Change Detection (HCD) problem: solving HCD from the perspective of Graph Signal Processing (GSP). We construct a graph for each image to capture the structure information, and treat…

Computer Vision and Pattern Recognition · Computer Science 2022-08-09 Yuli Sun , Lin Lei , Dongdong Guan , Gangyao Kuang , Li Liu

We propose a novel framework for learning time-varying graphs from spatiotemporal measurements. Given an appropriate prior on the temporal behavior of signals, our proposed method can estimate time-varying graphs from a small number of…

Signal Processing · Electrical Eng. & Systems 2025-09-10 Haruki Yokota , Koki Yamada , Yuichi Tanaka , Antonio Ortega

The Gaussian phase noise of intensity time series is demonstrated to be drastically reduced when the raw voltage data are digitally filtered through an arbitrarily large number $n$ of orthornormal bandpass profiles (eigen-filters) sharing…

Instrumentation and Methods for Astrophysics · Physics 2020-08-26 Richard Lieu , Kristen Lackeos

The unsupervised detection of anomalies in time series data has important applications in user behavioral modeling, fraud detection, and cybersecurity. Anomaly detection has, in fact, been extensively studied in categorical sequences.…

Social and Information Networks · Computer Science 2021-02-24 Timothy LaRock , Vahan Nanumyan , Ingo Scholtes , Giona Casiraghi , Tina Eliassi-Rad , Frank Schweitzer