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There is an abundance of complex dynamic systems that are critical to our daily lives and our society but that are hardly understood, and even with today's possibilities to sense and collect large amounts of experimental data, they are so…

In the study of complex physical and biological systems represented by multivariate stochastic processes, an issue of great relevance is the description of the system dynamics spanning multiple temporal scales. While methods to assess the…

Methodology · Statistics 2017-11-01 Luca Faes , Giandomenico Nollo , Sebastiano Stramaglia , Daniele Marinazzo

Carbon isotope labeling method is a standard metabolic engineering tool for flux quantification in living cells. To cope with the high dimensionality of isotope labeling systems, diverse algorithms have been developed to reduce the number…

Molecular Networks · Quantitative Biology 2022-02-11 Quentin Thommen , Julien Hurbain , Benjamin Pfeuty

Accurate gene regulatory networks can be used to explain the emergence of different phenotypes, disease mechanisms, and other biological functions. Many methods have been proposed to infer networks from gene expression data but have been…

Quantitative Methods · Quantitative Biology 2018-12-11 Phan Nguyen , Rosemary Braun

Mapping the large-scale subsurface plasma flow profile within the Sun has been attempted using various methods for several decades. One such flow in particular is the meridional circulation, for which numerous studies have been published.…

Solar and Stellar Astrophysics · Physics 2023-08-23 Aleczander Herczeg , Jason Jackiewicz

We consider the problem of modeling temporal textual data taking endogenous and exogenous processes into account. Such text documents arise in real world applications, including job advertisements and economic news articles, which are…

Computation and Language · Computer Science 2016-07-06 Baiyang Wang , Diego Klabjan

We analyze the time reversed dynamics of generative diffusion models. If the exact empirical score function is used in a regime of large dimension and exponentially large number of samples, these models are known to undergo transitions…

Statistics Theory · Mathematics 2025-11-17 Anand Jerry George , Rodrigo Veiga , Nicolas Macris

In evolving complex systems such as air traffic and social organizations, collective effects emerge from their many components' dynamic interactions. While the dynamic interactions can be represented by temporal networks with nodes and…

Social and Information Networks · Computer Science 2017-09-21 Tiago P. Peixoto , Martin Rosvall

Real-time monitoring in modern medical research introduces functional longitudinal data, characterized by continuous-time measurements of outcomes, treatments, and confounders. This complexity leads to uncountably infinite…

Methodology · Statistics 2025-08-15 Andrew Ying

The ambitious and ultimate research purpose in Systems Biology is the understanding and modelling of the cell's system. Although a vast number of models have been developed in order to extract biological knowledge from complex systems…

Biomolecules · Quantitative Biology 2007-05-23 T. Ochiai , J. C. Nacher , T. Akutsu

It is becoming increasingly clear that complex interactions among genes and environmental factors play crucial roles in triggering complex diseases. Thus, understanding such interactions is vital, which is possible only through statistical…

Applications · Statistics 2020-05-04 Durba Bhattacharya , Sourabh Bhattacharya

This study investigates how visibility graphs constructed from Monte Carlo Markov Chain time series of spin models capture the critical behavior of the system. More precisely, we show that this approach identifies continuous phase…

Statistical Mechanics · Physics 2026-03-19 Roberto da Silva

Ecological systems are governed by complex interactions which are mainly nonlinear. In order to capture this complexity and nonlinearity, statistical models recently gained popularity. However, although these models are commonly applied in…

Quantitative Methods · Quantitative Biology 2011-07-29 Can Ozan Tan , Uygar Ozesmi , Meryem Beklioglu , Esra Per , Bahtiyar Kurt

Correlation analysis is convenient and frequently used tool for investigation of time series from complex systems. Recently new methods such as the multifractal detrended fluctuation analysis (MFDFA) and the wavelet transform modulus…

Data Analysis, Statistics and Probability · Physics 2007-05-23 Nikolay K. Vitanov , kenschi Sakai , Elka D. Yankulova

Recent years witnessed the development of powerful generative models based on flows, diffusion or autoregressive neural networks, achieving remarkable success in generating data from examples with applications in a broad range of areas. A…

Disordered Systems and Neural Networks · Physics 2024-07-22 Davide Ghio , Yatin Dandi , Florent Krzakala , Lenka Zdeborová

This article introduces a dynamic spatiotemporal stochastic volatility (SV) model with explicit terms for the spatial, temporal, and spatiotemporal spillover effects. Moreover, the model includes time-invariant site-specific constant…

Methodology · Statistics 2023-11-10 Philipp Otto , Osman Doğan , Süleyman Taşpınar

Motivation:Microarray experiments result in large scale data sets that require extensive mining and refining to extract useful information. We demonstrate the usefulness of (nonmetric) multidimensional scaling (MDS) method in analyzing a…

Genomics · Quantitative Biology 2009-09-29 Y. -h. Taguchi , Y. Oono

Stochastic differential equation (SDE)-based generative models have achieved substantial progress in conditional generation via training-free differentiable loss-guided approaches. However, existing methodologies utilizing posterior sam-…

Machine Learning · Computer Science 2026-03-10 Minsi Ren , Wenhao Deng , Ruiqi Feng , Tailin Wu

Finding parametric models that accurately describe the dependence structure of observed data is a central task in the analysis of time series. Classical frequency domain methods provide a popular set of tools for fitting and diagnostics of…

Methodology · Statistics 2019-01-18 Stefan Birr , Tobias Kley , Stanislav Volgushev

Scaling has been proposed as a powerful tool to analyze the properties of complex systems, and in particular for cities where it describes how various properties change with population. The empirical study of scaling on a wide range of…

Physics and Society · Physics 2018-04-18 Jules Depersin , Marc Barthelemy
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