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Using ideas and tools of complexity science we design a holistic measure of \textit{Scientific Fitness}, encompassing the scientific knowledge, capabilities and competitiveness of a research system. We characterize the temporal dynamics of…

Digital Libraries · Computer Science 2022-12-13 Aurelio Patelli , Lorenzo Napolitano , Giulio Cimini , Andrea Gabrielli

We investigate the convergence properties of an algorithm which has been recently proposed to measure the competitiveness of countries and the quality of their exported products. These quantities are called respectively Fitness F and…

Economics · Quantitative Finance 2018-01-09 Emanuele Pugliese , Andrea Zaccaria , Luciano Pietronero

Numerical analysis of data from international trade and ecological networks has shown that the non-linear fitness-complexity metric is the best candidate to rank nodes by importance in bipartite networks that exhibit a nested structure.…

Economics · Quantitative Finance 2018-06-04 Rui-Jie Wu , Gui-Yuan Shi , Yi-Cheng Zhang , Manuel Sebastian Mariani

A new implementation of an adiabatically-trained ensemble model is derived that shows significant improvements over classical methods. In particular, empirical results of this new algorithm show that it offers not just higher performance,…

Machine Learning · Computer Science 2022-10-17 Salvatore Certo , Andrew Vlasic , Daniel Beaulieu

We review several statistical complexity measures proposed over the last decade and a half as general indicators of structure or correlation. Recently, Lopez-Ruiz, Mancini, and Calbet [Phys. Lett. A 209 (1995) 321] introduced another…

Statistical Mechanics · Physics 2008-02-03 David P. Feldman , James P. Crutchfield

A good process model is expected not only to reflect the behavior of the process, but also to be as easy to read and understand as possible. Because preferences vary across different applications, numerous measures provide ways to reflect…

Formal Languages and Automata Theory · Computer Science 2024-08-23 Patrizia Schalk , Adam Burke , Robert Lorenz

The selection of the best classification algorithm for a given dataset is a very widespread problem. It is also a complex one, in the sense it requires to make several important methodological choices. Among them, in this work we focus on…

Machine Learning · Computer Science 2012-07-18 Vincent Labatut , Hocine Cherifi

Symbolic regression (SR) traditionally balances accuracy and complexity, implicitly assuming that simpler formulas are structurally more rational. We argue that this assumption is insufficient: existing algorithms often exploit this metric…

Machine Learning · Computer Science 2026-02-03 Zihan Yu , Guanren Wang , Jingtao Ding , Huandong Wang , Yong Li

A measure of complexity based on a probabilistic description of physical systems is proposed. This measure incorporates the main features of the intuitive notion of such a magnitude. It can be applied to many physical situations and to…

Chaotic Dynamics · Physics 2009-11-07 Ricardo Lopez-Ruiz , Hector Mancini , Xavier Calbet

Economic growth results from countries' accumulation of organizational and technological capabilities. The Economic and Product Complexity Indices, introduced as an attempt to measure these capabilities from a country's basket of exported…

General Economics · Economics 2024-06-25 Carlo Bottai , Jacopo Di Iorio , Martina Iori

Despite the growing importance of the digital sector, research on economic complexity and its implications continues to rely mostly on administrative records, e.g. data on exports, patents, and employment, that have blind spots when it…

General Economics · Economics 2026-01-23 Sándor Juhász , Johannes Wachs , Jermain Kaminski , César A. Hidalgo

Recent studies have found evidence of a negative association between economic complexity and inequality at the country level. Moreover, evidence suggests that sophisticated economies tend to outsource products that are less desirable (e.g.…

General Economics · Economics 2022-06-08 Dominik Hartmann , Flavio L. Pinheiro

An updated review [1] of nonextensive statistical mechanics and thermodynamics is colloquially presented. Quite naturally the possibility emerges for using the value of q-1 (entropic nonextensivity) as a simple and efficient manner to…

Statistical Mechanics · Physics 2007-05-23 Constantino Tsallis

This paper develops a unified framework for evaluating the optimal degree of task automation. Moving beyond binary automate-or-not assessments, we model automation intensity as a continuous choice in which firms minimize costs by selecting…

General Economics · Economics 2026-04-01 Wensu Li , Atin Aboutorabi , Harry Lyu , Kaizhi Qian , Martin Fleming , Brian C. Goehring , Neil Thompson

In Monoidal Computer I, we introduced a categorical model of computation where the formal reasoning about computability was supported by the simple and popular diagrammatic language of string diagrams. In the present paper, we refine and…

Logic in Computer Science · Computer Science 2014-02-25 Dusko Pavlovic

We analyze the decisive role played by the complexity of economic systems at the onset of the industrialization process of countries over the past 50 years. Our analysis of the input growth dynamics, based on a recently introduced measure…

Economics · Quantitative Finance 2018-01-09 Emanuele Pugliese , Guido L. Chiarotti , Andrea Zaccaria , Luciano Pietronero

The question What is Complexity? has occupied a great deal of time and paper over the last 20 or so years. There are a myriad different perspectives and definitions but still no consensus. In this paper I take a phenomenological approach,…

Adaptation and Self-Organizing Systems · Physics 2015-02-12 Christopher R. Stephens

There is a need for new metaphors from immunology to flourish the application areas of Artificial Immune Systems. A metaheuristic called Obesity Heuristic derived from advances in obesity treatment is proposed. The main forces of the…

Artificial Intelligence · Computer Science 2013-01-15 Mohammed El-Dosuky , Ahmed EL-Bassiouny , Taher Hamza , Magdy Rashad

Economies are complex man-made systems where organisms and markets interact according to motivations and principles not entirely understood yet. The increasing dissatisfaction with the postulates of traditional economics i.e. perfectly…

Adaptation and Self-Organizing Systems · Physics 2012-06-04 Jaime Gomez-Ramirez , Manuel G. Bedia

A measure for the complexity of a differentiable function f(x) on an interval is introduced. It is based on approximations of the function by piecewise constant functions. The measure takes into account the quality of the approximation and…

Information Theory · Computer Science 2026-05-19 Matthijs Ruijgrok