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Most complex systems are intrinsically dynamic in nature. The evolution of a dynamic complex system is typically represented as a sequence of snapshots, where each snapshot describes the configuration of the system at a particular instant…

Physics and Society · Physics 2016-12-30 Richard K. Darst , Clara Granell , Alex Arenas , Sergio Gómez , Jari Saramäki , Santo Fortunato

In a physical system, changing parameters such as temperature can induce a phase transition: an abrupt change from one state of matter to another. Analogous phenomena have recently been observed in large language models. Typically, the task…

Machine Learning · Computer Science 2024-05-28 Julian Arnold , Flemming Holtorf , Frank Schäfer , Niels Lörch

We analyze a large-scale snapshot of del.icio.us and investigate how the number of different tags in the system grows as a function of a suitably defined notion of time. We study the temporal evolution of the global vocabulary size, i.e.…

Information Retrieval · Computer Science 2007-05-23 Ciro Cattuto , Andrea Baldassarri , Vito D. P. Servedio , Vittorio Loreto

Starting from a master equation, we derive the evolution equation for the size distribution of elements in an evolving system, where each element can grow, divide into two, and produce new elements. We then probe general solutions of the…

Statistical Mechanics · Physics 2011-04-05 Segun Goh , H. W. Kwon , M. Y. Choi , Jean-Yves Fortin

Computer modelling for evolutionary systems consists in: 1) to store in the memory the individual features of each member of a large population; and 2) to update the whole system repeatedly, as time goes by, according to some prescribed…

Statistical Mechanics · Physics 2007-05-23 Paulo Murilo Castro de Oliveira

Quantum process tomography provides a means of measuring the evolution operator for a system at a fixed measurement time $t$. The problem of using that tomographic snapshot to predict the evolution operator at other times is generally…

Quantum Physics · Physics 2013-12-05 Jason M. Dominy , Lorenzo Campos Venuti , Alireza Shabani , Daniel A. Lidar

The dynamical evolution of many economic, sociological, biological and physical systems tends to be dominated by a relatively small number of unexpected, large changes (`extreme events'). We study the large, internal changes produced in a…

Disordered Systems and Neural Networks · Physics 2009-11-07 D. Lamper , S. Howison , N. F. Johnson

In the world, in which acceptance and the identification with social communities are highly desired, the ability to predict evolution of groups over time appears to be a vital but very complex research problem. Therefore, we propose a new,…

Social and Information Networks · Computer Science 2019-11-05 Stanisław Saganowski , Piotr Bródka , Michał Koziarski , Przemysław Kazienko

This study proposes an effective method to predict technology development from an evolutionary perspective. Product evolution is the result of technological evolution and market selection. A phylogenetic network is the main method to study…

Computational Engineering, Finance, and Science · Computer Science 2024-07-16 Youwei He , Jeong-Dong Lee , Dawoon Jeong , Sungjun Choi , Jiyong Kim

We study the evolution of artificial learning systems by means of selection. Genetic programming is used to generate a sequence of populations of algorithms which can be used by neural networks for supervised learning of a rule that…

Biological Physics · Physics 2009-11-07 Juan Pablo Neirotti , Nestor Caticha

By introducing the notions of living and dead nodes a new model of random tree evolution with continuous time parameter has been constructed. It is assumed that two random variables, the lifetime and the offspring number of living nodes…

Statistical Mechanics · Physics 2007-05-23 L. Pal

A continuously measured quantum system with multiple jump channels gives rise to a stochastic process described by random jump times and random emitted symbols, representing each jump channel. While much is known about the waiting time…

Quantum Physics · Physics 2023-06-21 Gabriel T. Landi

Cooperation in an open dynamic system fundamentally depends upon information distributed across its components. Yet in an environment with rapidly enlarging complexity, this information may need to change adaptively to enable not only…

Physics and Society · Physics 2021-04-06 Wonhee Jeong , Tarik Hadzibeganovic , Unjong Yu

Evol-Instruct has made significant improvements as a data synthesis method in several areas. Existing methods typically rely on a fixed set of strategies to evolve, which require manual design and are monolithic in form. In addition,…

Computation and Language · Computer Science 2025-06-02 Yixuan Wang , Shiqi Zhou , Chuanzhe Guo , Qingfu Zhu

We study the modeling and prediction of dynamical systems based on conventional models derived from measurements. Such algorithms are highly desirable in situations where the underlying dynamics are hard to model from physical principles or…

Data Analysis, Statistics and Probability · Physics 2016-08-03 Markus Quade , Markus Abel , Kamran Shafi , Robert K. Niven , Bernd R. Noack

Groups - social communities are important components of entire societies, analysed by means of the social network concept. Their immanent feature is continuous evolution over time. If we know how groups in the social network has evolved we…

Social and Information Networks · Computer Science 2012-10-19 Piotr Bródka , Przemysław Kazienko , Bartosz Kołoszczyk

Genetic programming and artificial life systems commonly employ tag-matching schemes to determine interactions between model components. However, the implications of criteria used to determine affinity between tags with respect to…

Neural and Evolutionary Computing · Computer Science 2023-10-10 Matthew Andres Moreno , Alexander Lalejini , Charles Ofria

We propose a generative model of temporally-evolving hypergraphs in which hyperedges form via noisy copying of previous hyperedges. Our proposed model reproduces several stylized facts from many empirical hypergraphs, is learnable from…

Social and Information Networks · Computer Science 2025-08-20 Xie He , Philip S. Chodrow , Peter J. Mucha

We examine the feasibility of predicting and subsequently managing the future evolution of a Complex Adaptive System. Our archetypal system mimics a competitive population of mechanical, biological, informational or human objects. We show…

Disordered Systems and Neural Networks · Physics 2007-05-23 David M. D. Smith , Neil F. Johnson

Networks are important representations in computer science to communicate structural aspects of a given system of interacting components. The evolution of a network has several topological properties that can provide us information on the…

Social and Information Networks · Computer Science 2020-04-30 Joao Pita Costa , Tihana Galinac Grbac
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