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Reduce and control complexity is an essential practice in software design. Cyclomatic complexity (CC) is one of the most popular software metrics, applied for more than 40 years. Despite CC is an interesting metric to highlight the number…

Software Engineering · Computer Science 2020-03-03 Hugo Tremblay , Fabio Petrillo

This study discusses the interplay between metrics used to measure the explainability of the AI systems and the proposed EU Artificial Intelligence Act. A standardisation process is ongoing: several entities (e.g. ISO) and scholars are…

Artificial Intelligence · Computer Science 2022-01-20 Francesco Sovrano , Salvatore Sapienza , Monica Palmirani , Fabio Vitali

We introduce an information theoretic measure of statistical structure, called 'binding information', for sets of random variables, and compare it with several previously proposed measures including excess entropy, Bialek et al.'s…

Statistics Theory · Mathematics 2010-12-10 Samer A. Abdallah , Mark D. Plumbley

This work applies Matrix Completion (MC) -- a class of machine-learning methods commonly used in the context of recommendation systems -- to analyse economic complexity. MC is applied to reconstruct the Revealed Comparative Advantage (RCA)…

General Economics · Economics 2021-09-10 Gnecco Giorgio , Nutarelli Federico , Riccaboni Massimo

This work builds on a rich discourse surrounding the social brain hypothesis as well as the definition and quantification of social complexity. We believe this manuscript provides a new perspective on the topic by pairing a conceptual…

Physics and Society · Physics 2025-03-25 Etienne Lein , Cécile Aprili , Jayaditya Deep , Isaac Kazuo Uyehara

The hardness of fitness functions is an important research topic in the field of evolutionary computation. In theory, the study can help understanding the ability of evolutionary algorithms. In practice, the study may provide a guideline to…

Neural and Evolutionary Computing · Computer Science 2018-05-02 Jun He , Tianshi Chen , Xin Yao

Adversarial training has been shown to be reliable in improving robustness against adversarial samples. However, the problem of adversarial training in terms of fairness has not yet been properly studied, and the relationship between…

Machine Learning · Computer Science 2023-04-04 Junyi Chai , Xiaoqian Wang

Econometrics and machine learning seem to have one common goal: to construct a predictive model, for a variable of interest, using explanatory variables (or features). However, these two fields developed in parallel, thus creating two…

Other Statistics · Statistics 2020-06-26 Arthur Charpentier , Emmanuel Flachaire , Antoine Ly

We propose a measure of learning efficiency for non-finite state spaces. We characterize the complexity of a learning problem by the metric entropy of its state space. We then describe how learning efficiency is determined by this measure…

Theoretical Economics · Economics 2024-08-28 Martin W Cripps

In their seminal paper, Karp, Vazirani and Vazirani (STOC'90) introduce the online bipartite matching problem, and the RANKING algorithm, which admits a tight $1-\frac{1}{e}$ competitive ratio. Since its publication, the problem has…

Computer Science and Game Theory · Computer Science 2020-10-13 Alon Eden , Michal Feldman , Amos Fiat , Kineret Segal

Classic economic science is reaching the limits of its explanatory powers. Complexity science uses an increasingly larger set of different methods to analyze physical, biological, cultural, social, and economic factors, providing a broader…

General Finance · Quantitative Finance 2017-07-11 Klaus Jaffe

There is no single universally accepted definition of "Complexity". There are several perspectives on complexity and what constitutes complex behaviour or complex systems, as opposed to regular, predictable behaviour and simple systems. In…

Data Analysis, Statistics and Probability · Physics 2018-01-17 Nithin Nagaraj , Karthi Balasubramanian

To achieve inclusive green growth, countries need to consider a multiplicity of economic, social, and environmental factors. These are often captured by metrics of economic complexity derived from the geography of trade, thus missing key…

General Economics · Economics 2024-07-25 Viktor Stojkoski , Philipp Koch , César A. Hidalgo

Debates over the trade-offs between specialization and diversification have long intrigued scholars and policymakers. Specialization can amplify an economy by concentrating on core strengths, while diversification reduces vulnerability by…

Physics and Society · Physics 2025-03-31 Matteo Straccamore , Matteo Bruno , Andrea Tacchella

The concept of complexity appears in virtually all areas of knowledge. Its intuitive meaning shares similarities across fields, but disagreements between its details hinders a general definition, leading to a plethora of proposed…

Statistical Mechanics · Physics 2023-10-04 Roberto C. Alamino

Traditional algorithm analysis treats all basic operations as equally costly, which hides significant differences in time, energy consumption, and cost between different types of computations on modern processors. We propose a…

Performance · Computer Science 2025-08-20 Sergii Kavun

Software implements a significant proportion of functionality in factory automation. Thus, efficient development and the reuse of software parts, so-called units, enhance competitiveness. Thereby, complex control software units are more…

Software Engineering · Computer Science 2022-12-13 Juliane Fischer , Birgit Vogel-Heuser , Heiko Schneider , Nikolai Langer , Markus Felger , Matthias Bengel

We introduce the E-measure: a measure-like generalization of the E-value to a class of hypotheses. Unlike classical measures, E-measures are closed under infimums instead of addition. They arise from a compatibility axiom with logical…

Statistics Theory · Mathematics 2026-04-23 Nick W. Koning

Algorithmic fairness is receiving significant attention in the academic and broader literature due to the increasing use of predictive algorithms, including those based on artificial intelligence. One benefit of this trend is that algorithm…

Computers and Society · Computer Science 2020-01-28 Pratyush Garg , John Villasenor , Virginia Foggo

The rapid integration of Artificial Intelligence (AI) systems across critical domains necessitates robust security evaluation frameworks. We propose a novel approach that introduces three metrics: System Complexity Index (SCI), Lyapunov…

Cryptography and Security · Computer Science 2024-04-18 B Kereopa-Yorke