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The field of neuroscience is facing an unprecedented expanse in the volume and diversity of available data. Traditionally, network models have provided key insights into the structure and function of the brain. With the advent of big data…

Neurons and Cognition · Quantitative Biology 2018-02-14 Michael Vaiana , Sarah Muldoon

The increasing interest in complex networks research has been a consequence of several intrinsic features of this area, such as the generality of the approach to represent and model virtually any discrete system, and the incorporation of…

The power of any kind of network approach lies in the ability to simplify a complex system so that one can better understand its function as a whole. Sometimes it is beneficial, however, to include more information than in a simple graph of…

Physics and Society · Physics 2015-09-21 Petter Holme

Time series analysis is relevant in various disciplines such as physics, biology, chemistry, and finance. In this paper, we present a novel neural network architecture that integrates elements from ResNet structures, while introducing the…

Machine Learning · Computer Science 2024-02-12 Jarrod Mau , Kevin Moon

Temporal networks representing a stream of timestamped edges are seemingly ubiquitous in the real-world. However, the massive size and continuous nature of these networks make them fundamentally challenging to analyze and leverage for…

Data Structures and Algorithms · Computer Science 2021-01-08 Nesreen K. Ahmed , Nick Duffield , Ryan A. Rossi

The emergence and popularization of online social networks suddenly made available a large amount of data from social organization, interaction and human behavior. All this information opens new perspectives and challenges to the study of…

Social and Information Networks · Computer Science 2016-04-05 David Burth Kurka , Alan Godoy , Fernando J. Von Zuben

Many scientific areas, from computer science to the environmental sciences and finance, give rise to multivariate time series which exhibit long memory, or loosely put, a slow decay in their autocorrelation structure. Efficient modelling…

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

Multivariate time series prediction has applications in a wide variety of domains and is considered to be a very challenging task, especially when the variables have correlations and exhibit complex temporal patterns, such as seasonality…

Machine Learning · Computer Science 2020-01-07 Yuya Jeremy Ong , Mu Qiao , Divyesh Jadav

Networks are convenient mathematical models to represent the structure of complex systems, from cells to societies. In the past decade, multilayer network science -- the branch of the field dealing with units interacting in multiple…

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

Multivariate time series forecasting is extensively studied throughout the years with ubiquitous applications in areas such as finance, traffic, environment, etc. Still, concerns have been raised on traditional methods for incapable of…

Machine Learning · Computer Science 2018-09-10 Yen-Yu Chang , Fan-Yun Sun , Yueh-Hua Wu , Shou-De Lin

In a temporal network, the presence and activity of nodes and links can change through time. To describe temporal networks we introduce the notion of temporal quantities. We define the addition and multiplication of temporal quantities in a…

Social and Information Networks · Computer Science 2020-02-06 Vladimir Batagelj , Selena Praprotnik

With the recent development and advancement of Transformer and MLP architectures, significant strides have been made in time series analysis. Conversely, the performance of Convolutional Neural Networks (CNNs) in time series analysis has…

Machine Learning · Computer Science 2025-03-12 Chenghan Li , Mingchen Li , Ruisheng Diao

Ordinal time series analysis is based on the idea to map time series to ordinal patterns, i.e., order relations between the values of a time series and not the values themselves, as introduced in 2002 by C. Bandt and B. Pompe. Despite a…

Neurons and Cognition · Quantitative Biology 2023-02-03 Klaus Lehnertz

Understanding the dynamics of spatially extended systems represents a challenge in diverse scientific disciplines, ranging from physics and mathematics to the earth and climate sciences or the neurosciences. This challenge has stimulated…

Data Analysis, Statistics and Probability · Physics 2012-08-06 S. Bialonski

We propose a method of constructing a network, in which its time structure is directly incorporated, based on a deterministic model from a time series. To construct such a network, we transform a linear model containing terms with different…

Other Statistics · Statistics 2015-06-05 Tomomichi Nakamura , Toshihiro Tanizawa

Time series classification is an increasing research topic due to the vast amount of time series data that are being created over a wide variety of fields. The particularity of the data makes it a challenging task and different approaches…

Machine Learning · Statistics 2018-06-13 Amaia Abanda , Usue Mori , Jose A. Lozano

Temporal networks have been increasingly used to model a diversity of systems that evolve in time; for example human contact structures over which dynamic processes such as epidemics take place. A fundamental aspect of real-life networks is…

Physics and Society · Physics 2017-11-08 Luis E C Rocha , Naoki Masuda , Petter Holme

Sequentially obtained dataset usually exhibits different behavior at different data resolutions/scales. Instead of inferring from data at each scale individually, it is often more informative to interpret the data as an ensemble of time…

Mesoscale and Nanoscale Physics · Physics 2021-03-19 Yuan Yang , Jie Ding

To understand large, connected systems, we cannot only zoom into the details. We also need to see the large-scale features from afar. One way to take a step back and get the whole picture is to model the systems as a network. However, many…

Physics and Society · Physics 2021-03-26 Petter Holme , Jari Saramäki