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Model predictive control strategies require to solve in an sequential manner, many, possibly non-convex, optimization problems. In this work, we propose an interacting stochastic agent system to solve those problems. The agents evolve in…

Optimization and Control · Mathematics 2023-12-21 Giacomo Borghi , Michael Herty

This paper presents distributed algorithmic solutions that employ opportunistic inter-agent communication to achieve dynamic average consensus. In our solutions each agent is endowed with a local criterion that enables it to determine…

Optimization and Control · Mathematics 2015-03-03 Solmaz S. Kia , Jorge Cortes , Sonia Martinez

Various world model frameworks are being developed today based on autoregressive frameworks that rely on discrete representations of actions and observations, and these frameworks are succeeding in constructing interactive generative models…

Machine Learning · Computer Science 2025-03-14 Kohei Hayashi , Masanori Koyama , Julian Jorge Andrade Guerreiro

Dynamical processes on time-varying complex networks are key to understanding and modeling a broad variety of processes in socio-technical systems. Here we focus on empirical temporal networks of human proximity and we aim at understanding…

Physics and Society · Physics 2013-11-01 Laetitia Gauvin , André Panisson , Ciro Cattuto , Alain Barrat

Natural and technological networks exhibit dynamics that can lead to complex cooperative behaviors, such as synchronization in coupled oscillators and rhythmic activity in neuronal networks. Understanding these collective dynamics is…

Adaptation and Self-Organizing Systems · Physics 2026-05-15 Felix Augustsson , Erik Andreas Martens

Various processes can be modelled as quasi-reaction systems of stochastic differential equations, such as cell differentiation and disease spreading. Since the underlying data of particle interactions, such as reactions between proteins or…

Methodology · Statistics 2024-06-06 Matteo Framba , Veronica Vinciotti , Ernst C. Wit

The dynamics of complex systems generally include high-dimensional, non-stationary and non-linear behavior, all of which pose fundamental challenges to quantitative understanding. To address these difficulties we detail a new approach based…

Quantitative Methods · Quantitative Biology 2020-09-11 Antonio Carlos Costa , Tosif Ahamed , Greg J. Stephens

Nonlinear dynamical systems are ubiquitous in nature and they are hard to forecast. Not only they may be sensitive to small perturbations in their initial conditions, but they are often composed of processes acting at multiple scales.…

Chaotic Dynamics · Physics 2025-10-06 Chenyu Dong , Davide Faranda , Adriano Gualandi , Valerio Lucarini , Gianmarco Mengaldo

Discrete-time modeling of acoustic, mechanical and electrical systems is a prominent topic in the musical signal processing literature. Such models are mostly derived by discretizing a mathematical model, given in terms of ordinary or…

Spatio-temporal forecasting is of great importance in a wide range of dynamical systems applications from atmospheric science, to recent COVID-19 spread modeling. These applications rely on accurate predictions of spatio-temporal structured…

Machine Learning · Computer Science 2021-08-13 Yu Huang , Yufei Tang , Xingquan Zhu , Min Shi , Ali Muhamed Ali , Hanqi Zhuang , Laurent Cherubin

Successful Human-Robot collaboration requires a predictive model of human behavior. The robot needs to be able to recognize current goals and actions and to predict future activities in a given context. However, the spatio-temporal sequence…

Computer Vision and Pattern Recognition · Computer Science 2018-09-20 Judith Bütepage , Danica Kragic

Social movements, neurons in the brain or even industrial suppliers are best described by agents evolving on networks with basic interaction rules. In these real systems, the connectivity between agents corresponds to the a critical state…

Physics and Society · Physics 2007-05-23 Philippe Curty

Artificial ants are "small" units, moving autonomously on a shared, dynamically changing "space", directly or indirectly exchanging some kind of information. Artificial ants are frequently conceived as a paradigm for collective adaptive…

Artificial Intelligence · Computer Science 2022-08-09 Peter Fettke , Wolfgang Reisig

Learning interpretable representations of neural dynamics at a population level is a crucial first step to understanding how observed neural activity relates to perception and behavior. Models of neural dynamics often focus on either…

Machine Learning · Statistics 2025-01-13 Noga Mudrik , Yenho Chen , Eva Yezerets , Christopher J. Rozell , Adam S. Charles

Failures in complex systems often emerge through gradual degradation and the propagation of stress across interacting components rather than through isolated shocks. Democratic systems exhibit similar dynamics, where weakening institutions…

Machine Learning · Computer Science 2026-05-18 Dmitry Zaytsev , Valentina Kuskova , Michael Coppedge

We introduce a distributed spatio-temporal artificial neural network architecture (DISTANA). It encodes mesh nodes using recurrent, neural prediction kernels (PKs), while neural transition kernels (TKs) transfer information between…

Machine Learning · Computer Science 2019-12-25 Matthias Karlbauer , Sebastian Otte , Hendrik P. A. Lensch , Thomas Scholten , Volker Wulfmeyer , Martin V. Butz

Many natural systems, such as neurons firing in the brain or basketball teams traversing a court, give rise to time series data with complex, nonlinear dynamics. We can gain insight into these systems by decomposing the data into segments…

Studies suggest that within the hierarchical architecture, the topological higher level possibly represents a conscious category of the current sensory events with slower changing activities. They attempt to predict the activities on the…

Artificial Intelligence · Computer Science 2018-04-19 Junpei Zhong , Tetsuya Ogata , Angelo Cangelosi

Internet communication channels, e.g., Facebook, Twitter, and email, are multiplex networks that facilitate interaction and information-sharing among individuals. During brief time periods users often use a single communication channel, but…

Physics and Society · Physics 2019-01-02 Wei Wang , Ming Tang , H. Eugene Stanley , Lidia A. Braunstein

Throughout the literature on Neural Cellular Automata (NCAs), it is often taken for granted that the systems learn attractors. This is shown through evolving the system for many timesteps and noting visual similarity to the goal state.…

Neural and Evolutionary Computing · Computer Science 2026-04-15 Mia-Katrin Kvalsund , James Stovold