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Surrogate networks can constitute suitable replacements for real networks, in particular to study dynamical processes on networks, when only incomplete or limited datasets are available. As empirical datasets most often present complex…

Physics and Society · Physics 2025-04-17 Giulia Cencetti , Alain Barrat

Temporal networks are essential for modeling and understanding systems whose behavior varies in time, from social interactions to biological systems. Often, however, real-world data are prohibitively expensive to collect in a large scale or…

Social and Information Networks · Computer Science 2023-08-23 Antonio Longa , Giulia Cencetti , Sune Lehmann , Andrea Passerini , Bruno Lepri

The surrogate data method is widely applied as a data dependent technique to test observed time series against a barrage of hypotheses. However, often the hypotheses one is able to address are not those of greatest interest, particularly…

Chaotic Dynamics · Physics 2007-05-23 Xiaodong Luo , Tomomichi Nakamura , Michael Small

In many data sets, crucial information on the structure and temporality of a system coexists with noise and non-essential elements. In networked systems, for instance, some edges might be non-essential or exist only by chance. Filtering…

Physics and Society · Physics 2019-01-16 Teruyoshi Kobayashi , Taro Takaguchi , Alain Barrat

Temporal graphs model relationships among entities over time. Recent studies applied temporal graphs to abstract complex systems such as continuous communication among participants of social networks. Often, the amount of data is larger…

Data Structures and Algorithms · Computer Science 2022-04-27 Luiz F. A. Brito , Bruno A. N. Travençolo , Marcelo K. Albertini

Technological advances have led to a strong increase in the number of data collection efforts aimed at measuring co-presence of individuals at different spatial resolutions. It is however unclear how much co-presence data can inform us on…

Physics and Society · Physics 2018-05-10 Mathieu Génois , Alain Barrat

The advantages of temporal networks in capturing complex dynamics, such as diffusion and contagion, has led to breakthroughs in real world systems across numerous fields. In the case of human behavior, face-to-face interaction networks…

Social and Information Networks · Computer Science 2025-06-06 Nicolò Alessandro Girardini , Antonio Longa , Gaia Trebucchi , Giulia Cencetti , Andrea Passerini , Bruno Lepri

Network models are widely used to represent relational information among interacting units and the structural implications of these relations. Recently, social network studies have focused a great deal of attention on random graph models of…

Applications · Statistics 2010-10-06 Mark S. Handcock , Krista J. Gile

Surrogate data testing for linearity is frequently applied to confirm the results of nonlinear time series analysis. We argue that this, in general, is not possible.

Chaotic Dynamics · Physics 2009-10-31 J. Timmer

Complex networks are now being studied in a wide range of disciplines across science and technology. In this paper we propose a method by which one can probe the properties of experimentally obtained network data. Rather than just measuring…

Physics and Society · Physics 2013-06-19 Michael Small , Kevin Judd , Thomas Stemler

Surrogate models provide compact relations between user-defined input parameters and output quantities of interest, enabling the efficient evaluation of complex parametric systems in many-query settings. Such capabilities are essential in a…

Numerical Analysis · Mathematics 2026-03-16 Matteo Giacomini , Pedro Díez

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

Social networks are of interest to researchers in part because they are thought to mediate the flow of information in communities and organizations. Here we study the temporal dynamics of communication using on-line data, including e-mail…

Physics and Society · Physics 2008-06-20 Gueorgi Kossinets , Jon Kleinberg , Duncan Watts

The method of surrogates is one of the key concepts of nonlinear data analysis. Here, we demonstrate that commonly used algorithms for generating surrogates often fail to generate truly linear time series. Rather, they create surrogate…

Data Analysis, Statistics and Probability · Physics 2015-06-03 C. Raeth , M. Gliozzi , I. E. Papadakis , W. Brinkmann

Recent advances in data collection and storage have allowed both researchers and industry alike to collect data in real time. Much of this data comes in the form of 'events', or timestamped interactions, such as email and social media…

Social and Information Networks · Computer Science 2019-08-29 Andrew Mellor

Before we apply nonlinear techniques, for example those inspired by chaos theory, to dynamical phenomena occurring in nature, it is necessary to first ask if the use of such advanced techniques is justified "by the data". While many…

chao-dyn · Physics 2009-10-31 Thomas Schreiber , Andreas Schmitz

The data-centric construction of inexpensive surrogates for fine-grained, physical models has been at the forefront of computational physics due to its significant utility in many-query tasks such as uncertainty quantification. Recent…

Machine Learning · Statistics 2021-03-17 Maximilian Rixner , Phaedon-Stelios Koutsourelakis

Scientific simulations are often used to gain insight into foundational questions. However, many potentially useful simulation results are difficult to visualize without powerful computers. In this research, we seek to build a surrogate…

Machine Learning · Computer Science 2021-10-27 Tim von Hahn , Chris K. Mechefske

The performance of recurrence networks and symbolic networks to detect weak nonlinearities in time series is compared to the nonlinear prediction error. For the synthetic data of the Lorenz system, the network measures show a comparable…

Chaotic Dynamics · Physics 2019-07-09 Ingo Laut , Christoph Räth

Many datasets describing contacts in a population suffer from incompleteness due to population sampling and underreporting of contacts. Data-driven simulations of spreading processes using such incomplete data lead to an underestimation of…

Physics and Society · Physics 2017-09-07 Julie Fournet , Alain Barrat
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