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Excitatory point processes (i.e., event flows) occurring over dynamic graphs (i.e., evolving topologies) provide a fine-grained model to capture how discrete events may spread over time and space. How to effectively steer the event flows by…

机器学习 · 计算机科学 2024-04-16 Zitao Song , Wendi Ren , Shuang Li

Topological data analysis (TDA) approaches are becoming increasingly popular for studying the dependence patterns in multivariate time series data. In particular, various dependence patterns in brain networks may be linked to specific tasks…

统计方法学 · 统计学 2025-12-08 Anass El Yaagoubi Bourakna , Moo K. Chung , Hernando Ombao

We introduce simple models of genetic regulatory networks and we proceed to the mathematical analysis of their dynamics. The models are discrete time dynamical systems generated by piecewise affine contracting mappings whose variables…

动力系统 · 数学 2007-05-23 Ricardo Coutinho , Bastien Fernandez , Ricardo Lima , Arnaud Meyroneinc

The analysis of temporal networks heavily depends on the analysis of time-respecting paths. However, before being able to model and analyze the time-respecting paths, we have to infer the timescales at which the temporal edges influence…

物理与社会 · 物理学 2023-01-30 Luka V. Petrović , Anatol Wegner , Ingo Scholtes

We study a model of binary decisions in a fully connected network of interacting agents. Individual decisions are determined by social influence, coming from direct interactions with neighbours, and a group level pressure that accounts for…

概率论 · 数学 2021-10-27 Michele Aleandri , Ida Germana Minelli

Biological neural networks operate in the presence of task disruptions as they guide organisms toward goals. A familiar stream of stimulus-response causations can be disrupted by subtask streams imposed by the environment. For example,…

机器学习 · 计算机科学 2022-07-15 Thomas E. Portegys

Temporal action proposal generation is an essential and challenging task that aims at localizing temporal intervals containing human actions in untrimmed videos. Most of existing approaches are unable to follow the human cognitive process…

计算机视觉与模式识别 · 计算机科学 2022-03-18 Viet-Khoa Vo-Ho , Ngan Le , Kashu Yamazaki , Akihiro Sugimoto , Minh-Triet Tran

Drug discovery relies on iterative expert workflows that are slow to parallelize and difficult to scale. Here we introduce Latent-Y, an AI agent that autonomously executes complete antibody design campaigns from text prompts, covering…

The importance of structured, complex connectivity patterns found in several real-world systems is to a great extent related to their respective effects in constraining and even defining the respective dynamics. Yet, while complex networks…

组织与器官 · 定量生物学 2008-05-16 Matheus P. Viana , Bruno A. N. Travencolo , E. Tanck , Luciano da F. Costa

Most chemical processes, such as distillation, absorption, extraction, and catalytic reactions, are extremely complex processes that are affected by multiple factors. The relationships between their input variables and output variables are…

系统与控制 · 电气工程与系统科学 2021-10-19 Li Sun , Fei Liang , Wutai Cui

Timed Transition Models (TTMs) are event-based descriptions for modelling, specifying, and verifying discrete real-time systems. An event can be spontaneous, fair, or timed with specified bounds. TTMs have a textual syntax, an operational…

软件工程 · 计算机科学 2015-06-12 Chen-Wei Wang , Jonathan S. Ostroff , Simon Hudon

This paper investigates questions related to the modularity in discrete models of biological interaction networks. We develop a theoretical framework based on the analysis of their asymptotic dynamics. More precisely, we exhibit formal…

离散数学 · 计算机科学 2012-01-16 Franck Delaplace , Hanna Klaudel , Tarek Melliti , Sylvain Sené

Network theory is a useful framework for studying interconnected systems of interacting entities. Many networked systems evolve continuously in time, but most existing methods for the analysis of time-dependent networks rely on discrete or…

物理与社会 · 物理学 2021-01-05 Walid Ahmad , Mason A. Porter , Mariano Beguerisse-Díaz

Network modeling characterizes the underlying principles of structural properties and is of vital significance for simulating dynamical processes in real world. However, bridging structure and dynamics is always challenging due to the…

物理与社会 · 物理学 2022-12-27 Zhihao Han , Longzhao Liu , Xin Wang , Yajing Hao , Hongwei Zheng , Shaoting Tang , Zhiming Zheng

We characterize different cell states, related to cancer and ageing phenotypes, by a measure of entropy of network ensembles, integrating gene expression values and protein interaction networks. The entropy measure estimates the parameter…

分子网络 · 定量生物学 2013-05-24 G. Menichetti , G. Bianconi , E. Giampieri , G. Castellani , D. Remondini

Virtually all real-world networks are dynamical entities. In social networks, the propensity of nodes to engage in social interactions (activity) and their chances to be selected by active nodes (attractiveness) are heterogeneously…

物理与社会 · 物理学 2017-06-13 Laura Alessandretti , Kaiyuan Sun , Andrea Baronchelli , Nicola Perra

A class of dynamic threshold models is proposed, for describing the upset of collective actions in social networks. The agents of the network have to decide whether to undertake a certain action or not. They make their decision by comparing…

社会与信息网络 · 计算机科学 2016-05-23 Andrea Garulli , Antonio Giannitrapani

RaNNDy is a randomized neural network architecture for the data-driven approximation of transfer operators associated with complex dynamical systems. The weights and biases of the hidden layers of the network are randomly initialized and…

机器学习 · 计算机科学 2026-05-25 Mohammad Tabish , Stefan Klus

In this thesis we contribute to the understanding of the pivotal role of the temporal dimension in networked social systems, previously neglected and now uncovered by the data revolution recently blossomed in this field. To this aim, we…

物理与社会 · 物理学 2016-08-15 Michele Starnini

Delays in biological systems may be used to model events for which the underlying dynamics cannot be precisely observed. Mathematical modeling of biological systems with delays is usually based on Delay Differential Equations (DDEs), a kind…

定量方法 · 定量生物学 2009-10-08 Roberto Barbuti , Giulio Caravagna , Paolo Milazzo , Andrea Maggiolo-Schettini