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In this paper the reason why entropy reduction (negentropy) can be used to measure the complexity of any computation was first elaborated both in the aspect of mathematics and informational physics. In the same time the equivalence of…

Computational Complexity · Computer Science 2015-09-22 Feng Pan

In this chapter, a statistical measure of complexity is introduced and some of its properties are discussed. Also, some straightforward applications are shown.

Adaptation and Self-Organizing Systems · Physics 2010-09-09 Ricardo Lopez-Ruiz , Hector Mancini , Xavier Calbet

The complex software systems developed nowadays require assessing their quality and proneness to errors. Reducing code complexity is a never-ending problem, especially in today's fast pace of software systems development. Therefore, the…

Software Engineering · Computer Science 2025-04-02 Laura Diana Cernau , Laura Diosan , Camelia Serban

Economic complexity has been linked to sustainability outcomes, such as income inequality and greenhouse gas emissions. Yet, it is unclear whether the pursuit of complex and/or related activities naturally aligns with these outcomes, or…

General Economics · Economics 2025-09-24 Quinten De Wettinck , Karolien De Bruyne , Wouter Bam , César A. Hidalgo

Metric elicitation is a recent framework for eliciting classification performance metrics that best reflect implicit user preferences based on the task and context. However, available elicitation strategies have been limited to linear (or…

Machine Learning · Statistics 2022-08-23 Gaurush Hiranandani , Jatin Mathur , Harikrishna Narasimhan , Oluwasanmi Koyejo

The purpose of this article is to introduce a new analytical framework dedicated to measuring performance of recommender systems. The standard approach is to assess the quality of a system by means of accuracy related statistics. However,…

Artificial Intelligence · Computer Science 2010-10-29 Szymon Chojnacki , Mieczysław Kłopotek

Many organizations use algorithms that have a disparate impact, i.e., the benefits or harms of the algorithm fall disproportionately on certain social groups. Addressing an algorithm's disparate impact can be challenging, however, because…

Econometrics · Economics 2025-01-13 Eric Auerbach , Annie Liang , Kyohei Okumura , Max Tabord-Meehan

We map the recently proposed notions of algorithmic fairness to economic models of Equality of opportunity (EOP)---an extensively studied ideal of fairness in political philosophy. We formally show that through our conceptual mapping, many…

Machine Learning · Computer Science 2018-11-28 Hoda Heidari , Michele Loi , Krishna P. Gummadi , Andreas Krause

In AAMAS 2014, Bouveret and Lemaitre (2014) presented a hierarchy of fairness concepts for allocation of indivisible objects. Among them CEEI (Competitive Equilibrium with Equal Incomes) was the strongest. In this note, we settle the…

Computer Science and Game Theory · Computer Science 2015-05-21 Haris Aziz

Recent approaches to evaluating Artificial General Intelligence (AGI) typically summarize a system's capability using the arithmetic mean of its proficiencies across multiple cognitive domains. While simple, this implicitly assumes…

Artificial Intelligence · Computer Science 2025-12-01 Fares Fourati

Societal complexity may be at a historical peak. Distinct from entropy, complexity tends to rise as systems move away from order, crest at an intermediate state, and decline as entropy continues increasing. The use of a thermodynamic…

Physics and Society · Physics 2026-05-08 Theodore Modis

In this essay, I attempt to provide supporting evidence as well as some balance for the thesis on `Transforming socio-economics with a new epistemology' presented by Hollingworth and Mueller (2008). First, I review a personal highlight of…

Physics and Society · Physics 2014-08-26 D. Sornette

We introduce Complexity as Advantage (CAA), a framework that defines the complexity of a system relative to a family of observers. Instead of measuring complexity as an intrinsic property, we evaluate how much predictive regret a system…

Machine Learning · Computer Science 2025-11-07 Oshri Naparstek

Approximate Bayesian computation performs approximate inference for models where likelihood computations are expensive or impossible. Instead simulations from the model are performed for various parameter values and accepted if they are…

Computation · Statistics 2015-12-16 Dennis Prangle

We introduce an increasing-complexity, open-ended, and human-agnostic metric to evaluate foundational and frontier AI models in the context of Artificial General Intelligence (AGI) and Artificial Super Intelligence (ASI) claims. Unlike…

Artificial Intelligence · Computer Science 2026-02-13 Alberto Hernández-Espinosa , Luan Ozelim , Felipe S. Abrahão , Hector Zenil

The relationship between micro-structure and macro-structure of complex systems using information geometry has been dealt by several authors. From this perspective, we are going to apply it as a geometrical structure connecting both…

General Finance · Quantitative Finance 2013-10-17 M. E. Kahil

The quest for a scientific description of consciousness has given rise to new theoretical and empirical paradigms for the investigation of phenomenological contents as well as clinical disorders of consciousness. An outstanding challenge in…

Neurons and Cognition · Quantitative Biology 2018-01-12 Xerxes D. Arsiwalla , Paul Verschure

Economic choices are often stochastic: the same person may make a different choice when facing the same alternatives repeatedly. Standard models assume that the degree of randomness reflects the size of utility differences, but choice…

Theoretical Economics · Economics 2026-05-05 Shuhua Si

Despite broad interest in self-organizing systems, there are few quantitative, experimentally-applicable criteria for self-organization. The existing criteria all give counter-intuitive results for important cases. In this Letter, we…

Adaptation and Self-Organizing Systems · Physics 2011-11-10 Cosma Rohilla Shalizi , Kristina Lisa Shalizi , Robert Haslinger

We introduce a dynamic model for complexity control (CC) between systems, represented by time series characterized by different temporal complexity measures, as indicated by their respective inverse power law (IPL) indices. Given the…

Adaptation and Self-Organizing Systems · Physics 2024-10-25 Korosh Mahmoodi , Scott E. Kerick , Piotr J. Franaszczuk , Paolo Grigolini , Bruce J. West