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Data-driven approaches to modeling physical systems fail to generalize to unseen systems that share the same general dynamics with the learning domain, but correspond to different physical contexts. We propose a new framework for this key…

Machine Learning · Computer Science 2022-06-27 Matthieu Kirchmeyer , Yuan Yin , Jérémie Donà , Nicolas Baskiotis , Alain Rakotomamonjy , Patrick Gallinari

We propose a simple model to describe the dynamics of religious affiliation. For such purpose, we built a compartmental model with three distinct subpopulations, namely religious committed individuals, religious noncommitted individuals and…

Physics and Society · Physics 2024-06-28 Nuno Crokidakis

Collective adaptive systems are an emerging class of networked computational systems, particularly suited in application domains such as smart cities, complex sensor networks, and the Internet of Things. These systems tend to feature large…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-11-23 Mirko Viroli , Giorgio Audrito , Jacob Beal , Ferruccio Damiani , Danilo Pianini

Unstoppable feedback loops and tipping points in socio-ecological systems are the main threats to sustainability. These behaviors have been extensively studied, notably to predict, and arguably deviate, dead-end trajectories. Behind the…

Dynamical Systems · Mathematics 2023-05-11 Olivier Hamant

We present existence, uniqueness and continuous dependence results for some kinetic equations motivated by models for the collective behavior of large groups of individuals. Models of this kind have been recently proposed to study the…

Analysis of PDEs · Mathematics 2011-12-07 José A. Cañizo , José A. Carrillo , Jesús Rosado

Some biological systems operate at the critical point between stability and instability and this requires a fine-tuning of parameters. We bring together two examples from the literature that illustrate this: neural integration in the…

Optimization and Control · Mathematics 2007-05-23 Luc Moreau , Eduardo Sontag

Our general aim is to give sufficient conditions for robustness behavior and convergence to the equilibrium point of linear time-varying fractional system's solutions. We approach this problem using as a framework a series of recent results…

Dynamical Systems · Mathematics 2019-06-27 Javier A. Gallegos , Manuel A. Duarte-Mermoud

We analyse a non-local parabolic integro-differential equation modelling the evolutionary dynamics of a phenotypically-structured population in a changing environment. Such models arise in a variety of contexts from climate change to…

Analysis of PDEs · Mathematics 2024-07-16 Manh Hong Duong , Fabian Spill , Blaine van Rensburg

What makes living systems flexible so that they can react quickly and adapt easily to changing environments? This question has not only engaged biologists for decades but is also of great interest to computer scientists and engineers who…

Systems and Control · Electrical Eng. & Systems 2022-07-12 Sebastian Mayer , Leo Francoso Dal Piccol Sotto , Jochen Garcke

We demonstrate, both analytically and numerically, that learning dynamics of neural networks is generically attracted towards a self-organized critical state. The effect can be modeled with quartic interactions between non-trainable…

Statistical Mechanics · Physics 2021-07-09 Mikhail I. Katsnelson , Vitaly Vanchurin , Tom Westerhout

Information processing in the brain is coordinated by the dynamic activity of neurons and neural populations at a range of spatiotemporal scales. These dynamics, captured in the form of electrophysiological recordings and neuroimaging, show…

Neurons and Cognition · Quantitative Biology 2025-10-27 Ramón Nartallo-Kaluarachchi , Morten L. Kringelbach , Gustavo Deco , Renaud Lambiotte , Alain Goriely

This work addresses challenges in evaluating adaptive artificial intelligence (AI) models for medical devices, where iterative updates to both models and evaluation datasets complicate performance assessment. We introduce a novel approach…

Artificial Intelligence · Computer Science 2026-04-07 Alexis Burgon , Berkman Sahiner , Nicholas A Petrick , Gene Pennello , Ravi K Samala

Recent work in continual learning has highlighted the stability gap -- a temporary performance drop on previously learned tasks when new ones are introduced. This phenomenon reflects a mismatch between rapid adaptation and strong retention…

Machine Learning · Computer Science 2026-01-28 Alejandro Rodriguez-Garcia , Anindya Ghosh , Srikanth Ramaswamy

Dormancy is a widespread adaptive strategy that enables populations to persist in fluctuating environments, yet how its benefits depend on the temporal structure of environmental variability remains unclear. We examine how dormancy…

Populations and Evolution · Quantitative Biology 2025-12-08 Jorge Hidalgo , Lorenzo Fant , Rafael Rubio de Casas , Miguel A. Muñoz

Embedded systems are becoming more in demand to work in dynamic and uncertain environments, and being confined to the strong requirements of real-time. Conventional static scheduling models usually cannot cope with runtime modification in…

Systems and Control · Electrical Eng. & Systems 2026-01-08 Abdelmadjid Benmachiche , Khadija Rais , Hamda Slimi

We propose an adaptive incentive mechanism that learns the optimal incentives in environments where players continuously update their strategies. Our mechanism updates incentives based on each player's externality, defined as the difference…

Computer Science and Game Theory · Computer Science 2025-03-04 Chinmay Maheshwari , Kshitij Kulkarni , Manxi Wu , Shankar Sastry

In adaptive control, a controller is precisely designed for a certain model of the system, but that model's parameters are updated online by another mechanism called the adaptive update. This allows the controller to aim for the benefits of…

Systems and Control · Computer Science 2017-11-28 Jason Nezvadovitz

Obesity does not emerge abruptly; rather, it develops gradually over extended periods. The gradual progression often prevents early recognition of physiological changes until excess adiposity is established. A common belief is that weight…

Quantitative Methods · Quantitative Biology 2026-03-18 Soheil Saghafi , Gari D. Clifford

Adaptation to environmental change is a common property of biological systems. Cells initially respond to external changes in the environment, but after some time, they regain their original state. By considering an element consisting of…

Biological Physics · Physics 2015-05-13 Masayo Inoue , Kunihiko Kaneko

Evaluating robustness under temporal distribution shift remains an open challenge. Existing metrics quantify the average decline in performance, but fail to capture how models adapt to evolving data. As a result, temporal degradation is…

Machine Learning · Computer Science 2026-04-09 Lorenzo Iovine , Giacomo Ziffer , Emanuele Della Valle
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