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We introduce a model for describing the dynamics of large numbers of interacting cells. The fundamental dynamical variables in the model are sub-cellular elements, which interact with each other through phenomenological intra- and…

Quantitative Methods · Quantitative Biology 2007-05-23 T. J. Newman

In this chapter, an input-output economic model with multiple interactive economic systems is considered. The model captures the multi-dimensional nature of the economic sectors or industries in each economic system, the interdependencies…

Systems and Control · Electrical Eng. & Systems 2025-07-29 Minh Hoang Trinh , Nhat-Minh Le-Phan , Hyo-Sung Ahn

Temporal graphs represent the dynamic relationships among entities and occur in many real life application like social networks, e commerce, communication, road networks, biological systems, and many more. They necessitate research beyond…

Machine Learning · Computer Science 2022-08-26 Shubham Gupta , Srikanta Bedathur

Link prediction appears as a central problem of network science, as it calls for unfolding the mechanisms that govern the micro-dynamics of the network. In this work, we are interested in ego-networks, that is the mere information of…

Social and Information Networks · Computer Science 2015-12-16 Lionel Tabourier , Anne-Sophie Libert , Renaud Lambiotte

Regression plays a key role in many research areas and its variable selection is a classic and major problem. This study emphasizes cost of predictors to be purchased for future use, when we select a subset of them. Its economic aspect is…

Methodology · Statistics 2021-03-19 Steven N. MacEachern , Koji Miyawaki

We provide a survey on relational models. Relational models describe complete networked {domains by taking into account global dependencies in the data}. Relational models can lead to more accurate predictions if compared to non-relational…

Artificial Intelligence · Computer Science 2016-09-13 Volker Tresp , Maximilian Nickel

This paper suggests that business cycles may be a manifestation of coupled real economy and stock market dynamics and describes a mechanism that can generate economic fluctuations consistent with observed business cycles. To this end, we…

General Finance · Quantitative Finance 2019-09-27 Dimitri Kroujiline , Maxim Gusev , Dmitry Ushanov , Sergey V. Sharov , Boris Govorkov

An important problem in the field of bioinformatics is to identify interactive effects among profiled variables for outcome prediction. In this paper, a logistic regression model with pairwise interactions among a set of binary covariates…

Artificial Intelligence · Computer Science 2016-12-30 Easton Li Xu , Xiaoning Qian , Tie Liu , Shuguang Cui

We follow up on the study of correlations between GDP's of rich countries. We analyze web-downloaded data on GDP that we use as individual wealth signatures of the country economical state. We calculate the yearly fluctuations of the GDP.…

Physics and Society · Physics 2012-09-25 M. Ausloos , R. Lambiotte

In complex systems, many different parts interact in non-obvious ways. Traditional research focuses on a few or a single aspect of the problem so as to analyze it with the tools available. To get a better insight of phenomena that emerge…

Multiagent Systems · Computer Science 2015-04-03 Klaus Jaffe

Many time series are generated by a set of entities that interact with one another over time. This paper introduces a broad, flexible framework to learn from multiple inter-dependent time series generated by such entities. Our framework…

Neural and Evolutionary Computing · Computer Science 2016-12-16 Ashish Bora , Sugato Basu , Joydeep Ghosh

Graphical interaction models have become an important tool for analysing multivariate time series. In these models, the interrelationships among the components of a time series are described by undirected graphs in which the vertices depict…

Methodology · Statistics 2012-07-02 Michael Eichler

General regression and classification models are constructed as linear combinations of simple rules derived from the data. Each rule consists of a conjunction of a small number of simple statements concerning the values of individual input…

Applications · Statistics 2008-11-12 Jerome H. Friedman , Bogdan E. Popescu

Networks of dynamical systems play an important role in various domains and have motivated many studies on the control and analysis of linear dynamical networks. For linear network models considered in these studies, it is typically…

Systems and Control · Electrical Eng. & Systems 2024-05-07 Shengling Shi , Zhiyong Sun , Bart De Schutter

A graphical model is a statistical model that is associated to a graph whose nodes correspond to variables of interest. The edges of the graph reflect allowed conditional dependencies among the variables. Graphical models admit…

Methodology · Statistics 2016-06-09 Mathias Drton , Marloes H. Maathuis

We propose a general interpretation for long-range correlation effects in the activity and volatility of financial markets. This interpretation is based on the fact that the choice between `active' and `inactive' strategies is subordinated…

Disordered Systems and Neural Networks · Physics 2009-11-07 Irene Giardina , Jean-Philippe Bouchaud , Marc Mézard

This paper reviews some of the phenomenological models which have been introduced to incorporate the scaling properties of financial data. It also illustrates a microscopic model, based on heterogeneous interacting agents, which provides a…

Statistical Mechanics · Physics 2009-10-31 Giulia Iori

Graph neural networks are often used to model interacting dynamical systems since they gracefully scale to systems with a varying and high number of agents. While there has been much progress made for deterministic interacting systems,…

Machine Learning · Computer Science 2023-05-04 Andreas Look , Melih Kandemir , Barbara Rakitsch , Jan Peters

Advanced inference techniques allow one to reconstruct the pattern of interaction from high dimensional data sets. We focus here on the statistical properties of inferred models and argue that inference procedures are likely to yield models…

Data Analysis, Statistics and Probability · Physics 2013-10-09 Iacopo Mastromatteo , Matteo Marsili

Face-to-face interaction networks describe social interactions in human gatherings, and are the substrate for processes such as epidemic spreading and gossip propagation. The bursty nature of human behavior characterizes many aspects of…

Physics and Society · Physics 2013-04-24 Michele Starnini , Andrea Baronchelli , Romualdo Pastor-Satorras