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The description of large temporal graphs requires effective methods giving an appropriate mesoscopic partition. Many approaches exist today to detect communities in static graphs. However, many networks are intrinsically dynamical, and need…

社会与信息网络 · 计算机科学 2017-07-10 Matteo Morini , Patrick Flandrin , Eric Fleury , Tommaso Venturini , Pablo Jensen

Learning discriminative global features plays a vital role in semantic segmentation. And most of the existing methods adopt stacks of local convolutions or non-local blocks to capture long-range context. However, due to the absence of…

计算机视觉与模式识别 · 计算机科学 2019-09-30 Lin Song , Yanwei Li , Zeming Li , Gang Yu , Hongbin Sun , Jian Sun , Nanning Zheng

The contemporary scientific landscape is characterized by a "curse of dimensionality," where our capacity to collect high-dimensional network data frequently outstrips our ability to computationally simulate or intuitively comprehend the…

综合物理 · 物理学 2026-02-03 Zebiao Li , XueYing Wu , Chengyi Tu

Motivated by the development and deployment of large-scale dynamical systems, often composed of geographically distributed smaller subsystems, we address the problem of verifying their controllability in a distributed manner. In this work…

最优化与控制 · 数学 2015-06-19 Joao Carvalho , Sergio Pequito , A. Pedro Aguiar , Soummya Kar , Karl H. Johansson

Analyzing the covariance structure of data is a fundamental task of statistics. While this task is simple for low-dimensional observations, it becomes challenging for more intricate objects, such as multivariate functions. Here, the…

统计方法学 · 统计学 2023-01-12 Holger Dette , Gauthier Dierickx , Tim Kutta

Like distributed systems, biological multicellular processes are subject to dynamic changes and a biological system will not pass the survival-of-the-fittest test unless it exhibits certain features that enable fast recovery from these…

分布式、并行与集群计算 · 计算机科学 2017-06-13 Yuval Emek , Jara Uitto

Many temporal networks exhibit multiple system states, such as weekday and weekend patterns in social contact networks. The detection of such distinct states in temporal network data has recently been explored as it helps reveal underlying…

社会与信息网络 · 计算机科学 2020-08-20 Shun Cao , Hiroki Sayama

The complexity of biological, social and engineering networks makes it desirable to find natural partitions into communities that can act as simplified descriptions and provide insight into the structure and function of the overall system.…

物理与社会 · 物理学 2013-09-18 J. -C. Delvenne , S. N. Yaliraki , M. Barahona

We propose and investigate a method for identifying timescales of dissipation in nonequilibrium steady states modeled as discrete-state Markov jump processes. The method is based on how the irreversibility-measured by the statistical…

统计力学 · 物理学 2023-07-24 Freddy A. Cisneros , Nikta Fakhri , Jordan M. Horowitz

Data-driven methods for the identification of the governing equations of dynamical systems or the computation of reduced surrogate models play an increasingly important role in many application areas such as physics, chemistry, biology, and…

动力系统 · 数学 2024-12-17 Stefan Klus , Hongyu Zhu

We search for conditions under which a characteristic time scale for ordering dynamics towards either of two absorbing states in a finite complex network of interactions does not exist. With this aim, we study random networks and networks…

物理与社会 · 物理学 2009-11-13 R. Toivonen , X. Castelló , V. M. Eguíluz , J. Saramäki , K. Kaski , M. San Miguel

We consider systems that are well modelled as a networks that evolve in time, which we call {\it Moving Neighborhood Networks}. These models are relevant in studying cooperative behavior of swarms and other phenomena where emergent…

混沌动力学 · 物理学 2007-05-23 Joseph D. Skufca , Erik M. Bollt

Geologic interpretation of large seismic stacked or migrated seismic images can be a time-consuming task for seismic interpreters. Neural network based semantic segmentation provides fast and automatic interpretations, provided a sufficient…

计算机视觉与模式识别 · 计算机科学 2019-01-15 Bas Peters , Justin Granek , Eldad Haber

Most social, technological and biological networks are embedded in a finite dimensional space, and the distance between two nodes influences the likelihood that they link to each other. Indeed, in social systems, the chance that two…

物理与社会 · 物理学 2018-06-27 Paul Balister , Chaoming Song , Oliver Riordan , Bela Bollobas , Albert-Laszlo Barabasi

Various natural and engineered systems, from urban traffic flow to the human brain, can be described by large-scale networked dynamical systems. These systems are similar in being comprised of a large number of microscopic subsystems, each…

动力系统 · 数学 2026-01-06 Sabbir Ahmed , Hafiz Fareed Ahmed , Erfan Nozari

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…

数据分析、统计与概率 · 物理学 2012-08-06 S. Bialonski

The functional consequences of local and global dynamics can be very different in natural systems. Many such systems have a network description that exhibits strong local clustering as well as high communication efficiency, often termed as…

生物物理 · 物理学 2009-04-07 Raj Kumar Pan , Sitabhra Sinha

Self-adaptive dynamics occurs in many physical systems such as socio-economics, neuroscience, or biophysics. We formalize a self-adaptive modeling approach, where adaptation takes place within a set of strategies based on the history of the…

适应与自组织系统 · 物理学 2022-04-01 Konstantin Clauß , Christian Kuehn

We explore a systematic approach to studying the dynamics of evolving networks at a coarse-grained, system level. We emphasize the importance of finding good observables (network properties) in terms of which coarse grained models can be…

We consider composite quantum-dynamical systems that can be partitioned into weakly interacting subsystems, similar to system-bath type situations. Using a factorized wave function ansatz, we mathematically characterize dynamical scale…

偏微分方程分析 · 数学 2023-12-04 Irene Burghardt , Rémi Carles , Clotilde Fermanian Kammerer , Benjamin Lasorne , Caroline Lasser