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The paper presents a method by which the mean field dynamics of a population of dynamical systems with parameter diversity and global coupling can be described in terms of a few macroscopic degrees of freedom. The method applies to…

Statistical Mechanics · Physics 2009-11-07 Silvia De Monte , Francesco d'Ovidio , Erik Mosekilde

Exchange of molecules allows cells to exchange information. How robust is the information to changes in cell parameters? We use a mapping between the stochastic dynamics of two cells sharing a stimulatory molecule, and parameters akin to an…

Biological Physics · Physics 2024-07-10 Ismail Qunbar , Michael Vennettilli , Amir Erez

Natural, social, and artificial multi-agent systems usually operate in dynamic environments, where the ability to respond to changing circumstances is a crucial feature. An effective collective response requires suitable information…

Systems and Control · Computer Science 2022-09-29 David Mateo , Nikolaj Horsevad , Vahid Hassani , Mohammadreza Chamanbaz , Roland Bouffanais

Due to the diffusion of IoT, modern software systems are often thought to control and coordinate smart devices in order to manage assets and resources, and to guarantee efficient behaviours. For this class of systems, which interact…

Logic in Computer Science · Computer Science 2024-02-14 Valentina Castiglioni , Michele Loreti , Simone Tini

Continuous adaptation allows survival in an ever-changing world. Adjustments in the synaptic coupling strength between neurons are essential for this capability, setting us apart from simpler, hard-wired organisms. How these changes can be…

Neurons and Cognition · Quantitative Biology 2021-01-06 Jakob Jordan , Maximilian Schmidt , Walter Senn , Mihai A. Petrovici

How do landscape fragmentation affects ecosystems diversity and stability is an important and complex question in ecology with no simple answer, as spatially separated habitats where species live are highly dynamic rather than just static.…

Chaotic Dynamics · Physics 2016-08-17 Ramesh Arumugam , Partha Sharathi Dutta , Tanmoy Banerjee

The neural encoding by biological sensors of flying insects, which prefilters stimulus data before sending it to the central nervous system in the form of voltage spikes, enables sensing capabilities that are computationally low-cost while…

Systems and Control · Electrical Eng. & Systems 2022-06-07 Burak Boyacıoğlu , Alice C. Schwarze , Bingni W. Brunton , Kristi A. Morgansen

The ability to separate signal from noise, and reason with clean abstractions, is critical to intelligence. With this ability, humans can efficiently perform real world tasks without considering all possible nuisance factors.How can…

Machine Learning · Computer Science 2023-04-10 Tongzhou Wang , Simon S. Du , Antonio Torralba , Phillip Isola , Amy Zhang , Yuandong Tian

In this paper, we present some results on information, complexity and entropy as defined below and we discuss their relations with the Kolmogorov-Sinai entropy which is the most important invariant of a dynamical system. These results have…

Dynamical Systems · Mathematics 2019-08-17 Vieri Benci , Claudio Bonanno , Stefano Galatolo , Giulia Menconi , Federico Ponchio

Synthetic data becomes crucial for large language model training, but its effectiveness is highly inconsistent. We provide an information-theoretic account of this inconsistency: synthetic data improves a model only when the…

Machine Learning · Computer Science 2026-05-19 Hanyu Li , Zhengqi Sun , Xiaotie Deng

It has been shown that sets of oscillators in a modular network can exhibit a rich variety of metastable chimera states, in which synchronisation and desynchronisation coexist. Independently, under the guise of integrated information…

Neurons and Cognition · Quantitative Biology 2016-06-28 Pedro A. M. Mediano , Juan Carlos Farah , Murray Shanahan

Hybrid systems are traditionally difficult to identify and analyze using classical dynamical systems theory. Moreover, recently developed model identification methodologies largely focus on identifying a single set of governing equations…

Dynamical Systems · Mathematics 2019-06-19 Niall M Mangan , Travis Askham , Steven L Brunton , J Nathan Kutz , Joshua L Proctor

The issue of synchronization in the power grid is receiving renewed attention, as new energy sources with different dynamics enter the picture. Global metrics have been proposed to evaluate performance and analyzed under highly simplified…

Systems and Control · Computer Science 2019-05-20 Fernando Paganini , Enrique Mallada

Pattern-forming systems can exhibit a diverse array of complex behaviors as external parameters are varied, enabling a variety of useful functions in biological and engineered systems. First-principles derivations of the underlying…

Pattern Formation and Solitons · Physics 2023-11-20 Zachary G. Nicolaou , Guanyu Huo , Yihui Chen , Steven L. Brunton , J. Nathan Kutz

In this work, it is demonstrated that the usual power system dynamic model exhibits a feedforward-feedback control structure. The distinct properties of the feedforward and feedback subsystems are identified and studied using respective…

Systems and Control · Electrical Eng. & Systems 2022-12-06 Minquan Chen , Deqiang Gan

We explore the dynamics of information systems. We show that the driving force for information dynamics is determined by both the information landscape and information flux which determines the equilibrium time reversible and the…

Statistical Mechanics · Physics 2018-02-14 Qian Zeng , Jin Wang

Physical dynamical systems can be viewed as natural information processors: their systems preserve, transform, and disperse input information. This perspective motivates learning not only from data generated by such systems, but also how to…

Machine Learning · Computer Science 2026-03-05 Felix Köster , Atsushi Uchida

We present a mathematical and computational framework for the problem of learning a dynamical system from noisy observations of a few trajectories and subject to side information. Side information is any knowledge we might have about the…

Optimization and Control · Mathematics 2022-01-19 Amir Ali Ahmadi , Bachir El Khadir

Partial Information Decomposition (PID) represents multivariate mutual information via antichain-lattice that aims to specify which source groups can recover which informational components of a target. For three or more sources, widely…

Information Theory · Computer Science 2026-04-15 Aobo Lyu , Andrew Clark , Netanel Raviv

One of the crucial steps in scientific studies is to specify dependent relationships among factors in a system of interest. Given little knowledge of a system, can we characterize the underlying dependent relationships through observation…

Information Theory · Computer Science 2012-12-24 Shohei Hidaka
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