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Accurate prediction with multimodal data-encompassing tabular, textual, and visual inputs or outputs-is fundamental to advancing analytics in diverse application domains. Traditional approaches often struggle to integrate heterogeneous data…

Machine Learning · Statistics 2025-03-11 Xinyu Tian , Xiaotong Shen

In physics, I noticed subjects not explained by formulas were often not studied, like how uncontrolled growth systems changed form. Weather, businesses, societies, environments, communities, cultures, groups, relationships, lives, and…

Physics and Society · Physics 2023-05-18 Jessie Henshaw

We present a quantitative characterisation of the fluctuations of the annualized growth rate of the real US GDP per capita growth at many scales, using a wavelet transform analysis of two data sets, quarterly data from 1947 to 2015 and…

General Finance · Quantitative Finance 2016-07-15 Sandro Lera , Didier Sornette

All economies require physical resource consumption to grow and maintain their structure. The modern economy is additionally characterized by private debt. The Human and Resources with MONEY (HARMONEY) economic growth model links these…

Theoretical Economics · Economics 2021-06-07 Carey W. King

Gross Domestic Product(GDP) is a widely used measurement of economic growth representing the market value of all final goods and services produced by a country within a given time. In this paper we question the assumption that GDP measures…

General Finance · Quantitative Finance 2012-08-06 Jacky Mallett , Charles Keen

In this paper we elaborate on the recently proposed superstatistics formalism [C. Beck and E.G.D. Cohen, Physica A 322, 267 (2003)], used to interpret unconventional statistics. Their interpretation is that unconventional statistics in…

Statistical Mechanics · Physics 2007-05-23 F. Sattin

Phenomena as diverse as breeding bird populations, the size of U.S. firms, money invested in mutual funds, the GDP of individual countries and the scientific output of universities all show unusual but remarkably similar growth…

Physics and Society · Physics 2010-05-03 Yonathan Schwarzkopf , Robert L. Axtell , J. Doyne Farmer

We model a dynamic data economy with fully endogenous growth where agents generate data from consumption and share them with innovation and production firms. Different from other productive factors such as labor or capital, data are…

Theoretical Economics · Economics 2021-09-22 Lin William Cong , Wenshi Wei , Danxia Xie , Longtian Zhang

We consider population dynamics on a network of patches, each of which has a the same local dynamics, with different population scales (carrying capacities). It is reasonable to assume that if the patches are coupled by very fast migration…

Biological Physics · Physics 2015-06-04 Michael Khasin , Evgeniy Khain , Leonard M. Sander

Foundational models of computation often abstract away physical hardware limitations. However, in extreme environments like In-Network Computing (INC), these limitations become inviolable laws, creating an acute trilemma among communication…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-02-26 Zhiyuan Ren , Mingxuan Lu , Wenchi Cheng

Applying the concepts and formalisms from Evolutionary Game Theory to the data regime, the fundamental paradigms of Evolutionary Data Theory are introduced. Interpreting data in matrix form as evolutionary entities, input data is mapped to…

Neural and Evolutionary Computing · Computer Science 2026-05-27 Philipp Wissgott

In sustained growth with random dynamics stationary distributions can exist without detailed balance. This suggests thermodynamical behavior in fast growing complex systems. In order to model such phenomena we apply both a discrete and a…

Statistical Mechanics · Physics 2017-03-22 Tamás Biró , Zoltán Néda

Zipf's law of city-size distributions can be expressed by three types of mathematical models: one-parameter form, two-parameter form, and three-parameter form. The one-parameter and one of the two-parameter models are familiar to urban…

Physics and Society · Physics 2018-12-19 Yanguang Chen

Global inequality has shifted inward, with rising dispersion increasingly occurring within countries rather than between them. Using 8,790 newly harmonised Functional Urban Areas (FUAs), micro-founded labour-market regions encompassing 3.9…

General Economics · Economics 2026-01-21 Isaak Mengesha , Debraj Roy

We construct the complete set of orders of growth and we define on it the generalized entropy of a dynamical systems. With this object we provide a framework where we can study the separation of orbits of a map beyond the scope of…

Dynamical Systems · Mathematics 2023-06-22 Javier Correa , Enrique R. Pujals

In many European countries the growth of the real GDP per capita has been linear since 1950. An explanation for this linearity is still missing. We propose that in artificial intelligence we may find models for a linear growth of…

General Finance · Quantitative Finance 2015-08-19 Jörg D. Becker

We introduce a spatial economic growth model where space is described as a network of interconnected geographic locations and we study a corresponding finite-dimensional optimal control problem on a graph with state constraints. Economic…

Growth patterns of complex systems predict how they change in sizes, numbers, masses, etc. Understanding growth is important, especially for many biological, ecological, urban, and socioeconomic systems. One noteworthy growth behavior is…

Physics and Society · Physics 2022-06-07 Jinkui Zhao

Universality in the behavior of complex systems often reveals itself in the form of scale-invariant distributions that are essentially independent of the details of the microscopic dynamics. A representative paradigm of complex behavior in…

Statistical Mechanics · Physics 2007-05-23 G. Malescio , N. V. Dokholyan , S. V. Buldyrev , H. Eugene Stanley

Growth-fragmentation processes model systems of cells that grow continuously over time and then fragment into smaller pieces. Typically, on average, the number of cells in the system exhibits asynchronous exponential growth and, upon…

Probability · Mathematics 2023-06-08 Emma Horton , Alexander R. Watson