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The focus is on the statistical analysis of matrix-valued time series, where data is collected over a network of sensors, typically at spatial locations, over time. Each sensor records a vector of features at each time point, creating a…

Machine Learning · Statistics 2026-05-05 Yiye Jiang , Jérémie Bigot , Sofian Maabout

Time series has attracted a lot of attention in many fields today. Time series forecasting algorithm based on complex network analysis is a research hotspot. How to use time series information to achieve more accurate forecasting is a…

Social and Information Networks · Computer Science 2022-08-23 Tianxiang Zhan , Fuyuan Xiao

The family of image visibility graphs (IVGs) have been recently introduced as simple algorithms by which scalar fields can be mapped into graphs. Here we explore the usefulness of such operator in the scenario of image processing and image…

Data Analysis, Statistics and Probability · Physics 2019-11-19 Jacopo Iacovacci , Lucas Lacasa

The growing success of graph signal processing (GSP) approaches relies heavily on prior identification of a graph over which network data admit certain regularity. However, adaptation to increasingly dynamic environments as well as demands…

Machine Learning · Computer Science 2021-03-08 Seyed Saman Saboksayr , Gonzalo Mateos , Mujdat Cetin

Nonlinear time series analysis is an active field of research that studies the structure of complex signals in order to derive information of the process that generated those series, for understanding, modeling and forecasting purposes. In…

Data Analysis, Statistics and Probability · Physics 2015-05-20 Lucas Lacasa , Raul Toral

This study aims to offer a new perspective on complex network representation of real-world systems. Currently, the most well-known transformation algorithms in the literature treat each data point in a time series as a node and transform…

Physics and Society · Physics 2025-06-18 G. Cigdem Yalcin , M. Berk Onder

Graph property detection aims to determine whether a graph exhibits certain structural properties, such as being Hamiltonian. Recently, learning-based approaches have shown great promise by leveraging data-driven models to detect graph…

Artificial Intelligence · Computer Science 2026-02-17 Jiahao Xie , Guangmo Tong

Signal processing and machine learning algorithms for data supported over graphs, require the knowledge of the graph topology. Unless this information is given by the physics of the problem (e.g., water supply networks, power grids), the…

Signal Processing · Electrical Eng. & Systems 2021-02-11 Alberto Natali , Mario Coutino , Elvin Isufi , Geert Leus

Recent advancements in computer vision have highlighted the scalability of Vision Transformers (ViTs) across various tasks, yet challenges remain in balancing adaptability, computational efficiency, and the ability to model higher-order…

Computer Vision and Pattern Recognition · Computer Science 2025-04-14 Joshua Fixelle

Visibility algorithms transform time series into graphs and encode dynamical information in their topology, paving the way for graph-theoretical time series analysis as well as building a bridge between nonlinear dynamics and network…

Data Analysis, Statistics and Probability · Physics 2016-05-11 Jacopo Iacovacci , Lucas Lacasa

In this work, we introduce a new and simple transformation from time series to complex networks based on markov-binary visibility graph(MBVG). Due to the simple structure of this transformation in comparison with other transformations be…

Data Analysis, Statistics and Probability · Physics 2011-10-25 Yaser Sadra , Zahra Arasteh-Fard , Sodief Ahadpour

Irregularly sampled time series are increasingly prevalent, particularly in medical domains. While various specialized methods have been developed to handle these irregularities, effectively modeling their complex dynamics and pronounced…

Machine Learning · Computer Science 2023-11-01 Zekun Li , Shiyang Li , Xifeng Yan

Time series and signals are attracting more attention across statistics, machine learning and pattern recognition as it appears widely in the industry especially in sensor and IoT related research and applications, but few advances has been…

Machine Learning · Computer Science 2018-08-15 Lu Liu , Zhiguang Wang

Web service administrators must ensure the stability of multiple systems by promptly detecting anomalies in Key Performance Indicators (KPIs). Achieving the goal of "train once, infer across scenarios" remains a fundamental challenge for…

Machine Learning · Computer Science 2025-10-07 Zexin Wang , Changhua Pei , Yang Liu , Hengyue Jiang , Quan Zhou , Haotian Si , Hang Cui , Jianhui Li , Gaogang Xie , Jingjing Li , Dan Pei

Perceiving and reconstructing 3D geometry from videos is a fundamental yet challenging computer vision task. To facilitate interactive and low-latency applications, we propose a streaming visual geometry transformer that shares a similar…

Computer Vision and Pattern Recognition · Computer Science 2026-04-01 Dong Zhuo , Wenzhao Zheng , Jiahe Guo , Yuqi Wu , Jie Zhou , Jiwen Lu

Network visualisation techniques are important tools for the exploratory analysis of complex systems. While these methods are regularly applied to visualise data on complex networks, we increasingly have access to time series data that can…

Social and Information Networks · Computer Science 2020-08-26 Vincenzo Perri , Ingo Scholtes

The problem of aggregation is considerable importance in many disciplines. In this paper, a new type of operator called visibility graph averaging (VGA) aggregation operator is proposed. This proposed operator is based on the visibility…

Artificial Intelligence · Computer Science 2015-06-17 Shiyu Chen , Yong Hu , Sankaran Mahadevan , Yong Deng

We give a polynomial time reduction from vector scheduling problem (VS) to generalized load balancing problem (GLB). This reduction gives the first non-trivial online algorithm for VS where vectors come in an online fashion. The online…

Computational Complexity · Computer Science 2014-01-15 Xiaojun Zhu , Qun Li , Weizhen Mao , Guihai Chen

The visibility graph (VG) algorithm and its variants have been extensively studied in the time series analysis as they transform the time series into the network of nodes and links, enabling to characterize the time series in terms of…

Data Analysis, Statistics and Probability · Physics 2025-08-13 Jeong-Min Lee , Hang-Hyun Jo

We analyze critical time series of the order parameter generated with active to inactive phase transitions of spreading dynamics running on the top of heterogeneous networks. Different activation mechanisms that govern the dynamics near the…

Biological Physics · Physics 2025-04-01 Juliane T. Moraes , Silvio C. Ferreira