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Graph models provide efficient tools to capture the underlying structure of data defined over networks. Many real-world network topologies are subject to change over time. Learning to model the dynamic interactions between entities in such…

Machine Learning · Computer Science 2025-01-03 Amirhossein Javaheri , Jiaxi Ying , Daniel P. Palomar , Farokh Marvasti

Graph compression is a data analysis technique that consists in the replacement of parts of a graph by more general structural patterns in order to reduce its description length. It notably provides interesting exploration tools for the…

Data Structures and Algorithms · Computer Science 2018-07-19 Robin Lamarche-Perrin

Network graphs have become a popular tool to represent complex systems composed of many interacting subunits; especially in neuroscience, network graphs are increasingly used to represent and analyze functional interactions between neural…

Information Theory · Computer Science 2015-11-24 Patricia Wollstadt , Ulrich Meyer , Michael Wibral

Time-evolving traffic flow forecasting are playing a vital role in intelligent transportation systems and smart cities. However, the dynamic traffic flow forecasting is a highly nonlinear problem with complex temporal-spatial dependencies.…

Machine Learning · Computer Science 2025-08-05 Zhenan Lin , Yuni Lai , Wai Lun Lo , Richard Tai-Chiu Hsung , Harris Sik-Ho Tsang , Xiaoyu Xue , Kai Zhou , Yulin Zhu

Many signals on Cartesian product graphs appear in the real world, such as digital images, sensor observation time series, and movie ratings on Netflix. These signals are "multi-dimensional" and have directional characteristics along each…

Methodology · Statistics 2017-12-22 Takashi Kurokawa , Taihei Oki , Hiromichi Nagao

In most natural and engineered systems, a set of entities interact with each other in complicated patterns that can encompass multiple types of relationships, change in time, and include other types of complications. Such systems include…

Physics and Society · Physics 2014-08-28 Mikko Kivelä , Alexandre Arenas , Marc Barthelemy , James P. Gleeson , Yamir Moreno , Mason A. Porter

High-dimensional networks play a key role in understanding complex relationships. These relationships are often dynamic in nature and can change with multiple external factors (e.g., time and groups). Methods for estimating graphical models…

Methodology · Statistics 2024-07-30 Louis Dijkstra , Arne Godt , Ronja Foraita

Recent research in time series forecasting has explored integrating multimodal features into models to improve accuracy. However, the accuracy of such methods is constrained by three key challenges: inadequate extraction of fine-grained…

Machine Learning · Computer Science 2025-10-21 Shule Hao , Junpeng Bao , Wenli Li

The study of complex networks has been historically based on simple graph data models representing relationships between individuals. However, often reality cannot be accurately captured by a flat graph model. This has led to the…

Social and Information Networks · Computer Science 2013-03-21 Matteo Magnani , Barbora Micenkova , Luca Rossi

Graph-based models form a fundamental aspect of data representation in Data Sciences and play a key role in modeling complex networked systems. In particular, recently there is an ever-increasing interest in modeling dynamic complex…

Data Structures and Algorithms · Computer Science 2015-09-18 Klaus Wehmuth , Artur Ziviani , Eric Fleury

Neural networks have emerged as a promising paradigm for quantum information processing, yet they confront the challenge of generating training datasets with sufficient size and rich diversity, which is particularly acute when dealing with…

Quantum Physics · Physics 2024-10-30 Xiaoting Gao , Mingsheng Tian , Feng-Xiao Sun , Ya-Dong Wu , Yu Xiang , Qiongyi He

Time series analysis is of immense importance in extensive applications, such as weather forecasting, anomaly detection, and action recognition. This paper focuses on temporal variation modeling, which is the common key problem of extensive…

Machine Learning · Computer Science 2023-04-13 Haixu Wu , Tengge Hu , Yong Liu , Hang Zhou , Jianmin Wang , Mingsheng Long

This paper introduces a new approach for Multivariate Time Series forecasting that jointly infers and leverages relations among time series. Its modularity allows it to be integrated with current univariate methods. Our approach allows to…

Machine Learning · Computer Science 2022-03-08 Victor Garcia Satorras , Syama Sundar Rangapuram , Tim Januschowski

We frequently encounter multiple series that are temporally correlated in our surroundings, such as EEG data to examine alterations in brain activity or sensors to monitor body movements. Segmentation of multivariate time series data is a…

Machine Learning · Computer Science 2024-10-23 Shima Imani , Harsh Shrivastava

Unsupervised fault detection in multivariate time series plays a vital role in ensuring the stable operation of complex systems. Traditional methods often assume that normal data follow a single Gaussian distribution and identify anomalies…

Machine Learning · Computer Science 2025-07-01 Hong Liu , Xiuxiu Qiu , Yiming Shi , Miao Xu , Zelin Zang , Zhen Lei

Data augmentation is a crucial tool in time series forecasting, especially for deep learning architectures that require a large training sample size to generalize effectively. However, extensive datasets are not always available in…

Machine Learning · Computer Science 2026-01-28 Luis Amorim , Moises Santos , Paulo J. Azevedo , Carlos Soares , Vitor Cerqueira

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

High-dimensional multivariate time series are common in many scientific and industrial applications, where the interest lies in identifying key dependence structure within the data for subsequent analysis tasks, such as forecasting. An…

Methodology · Statistics 2025-12-15 Madeline A. Shelley , Chiara Boetti , Marina I. Knight , Matthew A. Nunes

The multivariate time series forecasting has attracted more and more attention because of its vital role in different fields in the real world, such as finance, traffic, and weather. In recent years, many research efforts have been proposed…

Machine Learning · Computer Science 2021-09-15 Wentao Xu , Weiqing Liu , Jiang Bian , Jian Yin , Tie-Yan Liu

Existing deepfake detectors face several challenges in achieving robustness and generalization. One of the primary reasons is their limited ability to extract relevant information from forgery videos, especially in the presence of various…

Computer Vision and Pattern Recognition · Computer Science 2023-05-01 Zhiyuan Yan , Peng Sun , Yubo Lang , Shuo Du , Shanzhuo Zhang , Wei Wang , Lei Liu