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We incorporate the generic hierarchical architecture of foodwebs into a "{\it unified}" model that describes both "micro" and "macro" evolutions within a single theoretical framework. This model describes the "micro" -evolution in detail by…

Statistical Mechanics · Physics 2009-11-10 Debashish Chowdhury , Dietrich Stauffer

The standing crop of correlations in metazoan communities may be assessed by an inventory of niche structures focused inward and outward from the physical boundaries of skin (self), gene-pool (family), and meme-pool (culture). We consider…

General Physics · Physics 2011-03-16 P. Fraundorf

The current work discusses how complex networks can be applied in order to aid economical development and stability at several scales and contexts. The following activities are involved: (a) compilation of several types of data related to…

Physics and Society · Physics 2007-05-23 Luciano da Fontoura Costa

Evolution occurs in populations of reproducing individuals. The structure of a biological population affects which traits evolve. Understanding evolutionary game dynamics in structured populations is difficult. Precise results have been…

Populations and Evolution · Quantitative Biology 2017-08-16 Benjamin Allen , Gabor Lippner , Yu-Ting Chen , Babak Fotouhi , Naghmeh Momeni , Martin A. Nowak , Shing-Tung Yau

The adoption of the distributed paradigm has allowed applications to increase their scalability, robustness and fault tolerance, but it has also complicated their structure, leading to an exponential growth of the applications'…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-05-23 Ioannis Giannakopoulos , Dimitrios Tsoumakos , Nectarios Koziris

The generalization of the simplest equation method to look for exact solutions of systems of nonlinear differential equations is presented. The exact solutions of NDE systems describing the evolution of two interacting populations in two…

Exactly Solvable and Integrable Systems · Physics 2008-09-24 Olga Yu. Efimova

This paper is devoted to studying a system of coupled nonlinear first order history-dependent evolution inclusions in the framework of evolution triples of spaces. The multivalued terms are of the Clarke subgradient or of the convex…

Analysis of PDEs · Mathematics 2023-09-12 S. Migorski

We present a method for hierarchic categorization and taxonomy evolution description. We focus on the structure of epistemic communities (ECs), or groups of agents sharing common knowledge concerns. Introducing a formal framework based on…

Adaptation and Self-Organizing Systems · Physics 2016-09-08 Camille Roth , Paul Bourgine

Single-cell trajectory analysis aims to reconstruct the biological developmental processes of cells as they evolve over time, leveraging temporal correlations in gene expression. During cellular development, gene expression patterns…

Applications · Statistics 2026-03-30 Junhao Zhu , Kevin Zhang , Zhaolei Zhang , Dehan Kong

Bio-inspired paradigms are proving to be useful in analyzing propagation and dissemination of information in networks. In this paper we explore the use of multi-type branching processes to analyse viral properties of content in a social…

Probability · Mathematics 2020-01-01 Ranbir Dhounchak , Veeraruna Kavitha , Eitan Altman

We propose a novel approach to continuum modelling of dynamics of crystal surfaces. Our model follows the evolution of an ensemble of step configurations, which are consistent with the macroscopic surface profile. Contrary to the usual…

Statistical Mechanics · Physics 2007-05-23 Navot Israeli , Daniel Kandel

Spiking Neural Networks are powerful computational modelling tools that have attracted much interest because of the bioinspired modelling of synaptic interactions between neurons. Most of the research employing spiking neurons has been…

Neural and Evolutionary Computing · Computer Science 2019-03-05 Huanneng Qiu , Matthew Garratt , David Howard , Sreenatha Anavatti

The process of transforming observed data into predictive mathematical models of the physical world has always been paramount in science and engineering. Although data is currently being collected at an ever-increasing pace, devising…

Dynamical Systems · Mathematics 2018-01-08 Maziar Raissi , Paris Perdikaris , George Em Karniadakis

Networks analysis has been commonly used to study the interactions between units of complex systems. One problem of particular interest is learning the network's underlying connection pattern given a single and noisy instantiation. While…

Machine Learning · Statistics 2021-06-08 Tianxi Li , Can M. Le

Networks observed in real world like social networks, collaboration networks etc., exhibit temporal dynamics, i.e. nodes and edges appear and/or disappear over time. In this paper, we propose a generative, latent space based, statistical…

Social and Information Networks · Computer Science 2018-11-08 Shubham Gupta , Gaurav Sharma , Ambedkar Dukkipati

Biclustering is a two way clustering approach involving simultaneous clustering along two dimensions of the data matrix. Finding biclusters of web objects (i.e. web users and web pages) is an emerging topic in the context of web usage…

Neural and Evolutionary Computing · Computer Science 2011-06-14 R. Rathipriya , Dr. K. Thangavel , J. Bagyamani

We propose and illustrate a hierarchical Bayesian approach for matching statistical records observed on different occasions. We show how this model can be profitably adopted both in record linkage problems and in capture--recapture setups,…

Applications · Statistics 2011-07-29 Andrea Tancredi , Brunero Liseo

The problem of computing differential constraints for a family of evolution PDEs is discussed from a constructive point of view. A new method, based on the existence of generalized characteristics for evolution vector fields, is proposed in…

Mathematical Physics · Physics 2020-08-04 Francesco C. De Vecchi , Paola Morando

We develop a set of equations to describe the population dynamics of many interacting species in food webs. Predator-prey interactions are non-linear, and are based on ratio-dependent functional responses. The equations account for…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Barbara Drossel , Paul G. Higgs , Alan J. McKane

The structure of ecological interactions is commonly understood through analyses of interaction networks. However, these analyses may be sensitive to sampling biases in both the interactors (the nodes of the network) and interactions (the…

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