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This chapter introduces evolutionary antifragility as the time-scale interaction characteristics of a natural dynamic system. It describes the benefit derived from input distribution unevenness, based on the emergent system dynamics and its…

Populations and Evolution · Quantitative Biology 2025-04-25 Cristian Axenie , Roman Bauer , Oliver Lopez Corona , Elvia Ramirez-Carrillo , Ari Barnett , Jeffrey West

In contrast with robust systems that resist noise or fragile systems that break with noise, antifragility is defined as a property of complex systems that benefit from noise or disorder. Here we define and test a simple measure of…

Statistical Finance · Quantitative Finance 2025-12-22 Darío Alatorre , Carlos Gershenson , José L. Mateos

A celebrated and controversial hypothesis conjectures that some biological systems --parts, aspects, or groups of them-- may extract important functional benefits from operating at the edge of instability, halfway between order and…

Statistical Mechanics · Physics 2018-08-01 Miguel A. Munoz

A system is called antifragile when damage acts as a constructive element improving the performance of a global function. In this paper, we analyze the emergence of antifragility in the movement of random walkers on networks with modular…

Statistical Mechanics · Physics 2024-10-22 L. K. Eraso-Hernandez , A. P. Riascos

Antifragile systems grow measurably better in the presence of hazards. This is in contrast to fragile systems which break down in the presence of hazards, robust systems that tolerate hazards up to a certain degree, and resilient systems…

Artificial Intelligence · Computer Science 2018-02-27 Anusha Mujumdar , Swarup Kumar Mohalik , Ramamurthy Badrinath

Antifragility is a property from which systems are able to resist stress and furthermore benefit from it. Even though antifragile dynamics is found in various real-world complex systems where multiple subsystems interact with each other,…

Adaptation and Self-Organizing Systems · Physics 2026-02-04 Hyobin Kim , Omar K. Pineda , Carlos Gershenson

Mobile robots are ubiquitous. Such vehicles benefit from well-designed and calibrated control algorithms ensuring their task execution under precise uncertainty bounds. Yet, in tasks involving humans in the loop, such as elderly or mobility…

Robotics · Computer Science 2023-12-08 Cristian Axenie , Matteo Saveriano

Antifragility is a property that enhances the capability of a system in response to external perturbations. Although the concept has been applied in many areas, a practical measure of antifragility has not been developed yet. Here we…

Adaptation and Self-Organizing Systems · Physics 2026-02-04 Omar K. Pineda , Hyobin Kim , Carlos Gershenson

This paper defines antifragility for dynamical systems as convexity of a newly introduced "logarithmic rate". It shows how to compute this rate for positive linear systems, and it interprets antifragility in terms of pulsed alternations of…

Dynamical Systems · Mathematics 2024-11-12 Eduardo D. Sontag

The present article introduces a reference framework for discussing resilience of computational systems. Rather than a property that may or may not be exhibited by a system, resilience is interpreted here as the emerging result of a dynamic…

Systems and Control · Computer Science 2015-04-13 Vincenzo De Florio

Most models of complex systems have been homogeneous, i.e., all elements have the same properties (spatial, temporal, structural, functional). However, most natural systems are heterogeneous: few elements are more relevant, larger,…

Adaptation and Self-Organizing Systems · Physics 2025-12-22 Amahury Jafet López-Díaz , Fernanda Sánchez-Puig , Carlos Gershenson

The optimal operation of transportation systems is often susceptible to unexpected disruptions. Many established control strategies reliant on mathematical models can struggle with real-world disruptions, leading to significant divergence…

Systems and Control · Electrical Eng. & Systems 2026-03-24 Linghang Sun , Michail A. Makridis , Alexander Genser , Cristian Axenie , Margherita Grossi , Anastasios Kouvelas

The stability--robustness--resilience--adaptiveness continuum in neuronal processing follows a hierarchical structure that explains interactions and information processing among the different time scales. Interestingly, using "canonical"…

Neurons and Cognition · Quantitative Biology 2024-04-24 Cristian Axenie

Criticality has been proposed as a mechanism for the emergence of complexity, life, and computation, as it exhibits a balance between robustness and adaptability. In classic models of complex systems where structure and dynamics are…

Statistical Mechanics · Physics 2026-02-04 Fernanda Sánchez-Puig , Octavio Zapata , Omar K. Pineda , Gerardo Iñiguez , Carlos Gershenson

Socio-technical systems, where technological and human elements interact in a goal-oriented manner, provide important functional support to our societies. Here we draw attention to the underappreciated concept of timeliness -- i.e., system…

Physics and Society · Physics 2025-02-27 José Moran , Frank P. Pijpers , Utz Weitzel , Jean-Philippe Bouchaud , Debabrata Panja

The goal of this paper is to study and define the concept of "antifragile software". For this, I start from Taleb's statement that antifragile systems love errors, and discuss whether traditional software dependability fits into this class.…

Software Engineering · Computer Science 2021-08-18 Martin Monperrus

We introduce a model of the fidelity of open systems - fidelity being interpreted here as the compliance between corresponding figures of interest in two separate but communicating domains. A special case of fidelity is given by…

Other Computer Science · Computer Science 2014-01-21 Vincenzo De Florio

Adaptivity is a dynamical feature that is omnipresent in nature, socio-economics, and technology. For example, adaptive couplings appear in various real-world systems like the power grid, social, and neural networks, and they form the…

We provide a mathematical definition of fragility and antifragility as negative or positive sensitivity to a semi-measure of dispersion and volatility (a variant of negative or positive "vega") and examine the link to nonlinear effects. We…

Risk Management · Quantitative Finance 2012-08-07 Nassim N. Taleb , Raphael Douady

Operating safely and reliably despite continual distribution shifts is vital for high-stakes machine learning applications. This paper builds upon the transformative concept of ``antifragility'' introduced by (Taleb, 2014) as a constructive…

Machine Learning · Computer Science 2024-05-21 Ming Jin
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