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While the identification of nonlinear dynamical systems is a fundamental building block of model-based reinforcement learning and feedback control, its sample complexity is only understood for systems that either have discrete states and…

Machine Learning · Statistics 2020-06-19 Horia Mania , Michael I. Jordan , Benjamin Recht

We revisit the behavioral approach to systems theory and make explicit the abstract pattern that governs it. Our end goal is to use that pattern to understand interaction-related phenomena that emerge when systems interact. Rather than…

Systems and Control · Electrical Eng. & Systems 2019-11-26 Elie M. Adam , Munther A. Dahleh

Natural systems are remarkably robust and resilient, maintaining essential functions despite variability, uncertainty, and hostile conditions. Understanding these nonlinear, dynamic behaviours is challenging because such systems involve…

Mathematical Physics · Physics 2025-12-02 Daniele Proverbio , Rami Katz , Giulia Giordano

Cellular decision-making (CDM) is a dynamic phenomenon often controlled by regulatory networks defining interactions between genes and transcription factor proteins. Traditional studies have focussed on molecular switches such as positive…

Molecular Networks · Quantitative Biology 2024-04-09 Akriti Srivastava , Mubasher Rashid

Noise is a ubiquitous feature of the physical world. As a result, the first prerequisite of life is fault tolerance: maintaining integrity of state despite external bombardment. Recent experimental advances have revealed that biological…

Populations and Evolution · Quantitative Biology 2023-04-14 Trevor McCourt , Ila R. Fiete , Isaac L. Chuang

Unlike many physical nonequilibrium systems, in biological systems, the coupling to external energy sources is not a fixed parameter but adaptively controlled by the system itself. We do not have theoretical frameworks that allow for such…

Populations and Evolution · Quantitative Biology 2025-06-30 Ankit Dhanuka , Avi I. Flamholz , Arvind Murugan , Akshit Goyal

This article reviews how organisms learn and recognize the world through the dynamics of neural networks from the perspective of Bayesian inference, and introduces a view on how such dynamics is described by the laws for the entropy of…

Neurons and Cognition · Quantitative Biology 2020-06-24 Hideaki Shimazaki

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

For group-living animals, reaching consensus to stay cohesive is crucial for their fitness, particularly when collective motion starts and stops. Understanding the decision-making at individual and collective levels upon sudden disturbances…

Biological Physics · Physics 2017-02-08 Sylvain Toulet , Jacques Gautrais , Richard Bon , Fernando Peruani

The spontaneous generation of electrical activity underpins a number of essential physiological processes, and is observed even in tissues where specialized pacemaker cells have not been identified. The emergence of periodic oscillations in…

Adaptation and Self-Organizing Systems · Physics 2022-02-01 Ria Ghosh , Shakti N. Menon

Animals flexibly recombine a finite set of core motor motifs to meet diverse task demands, but existing behavior segmentation methods oversimplify this process by imposing discrete syllables under restrictive generative assumptions. To…

Machine Learning · Computer Science 2026-02-27 Jiyi Wang , Jingyang Ke , Bo Dai , Anqi Wu

Behavior results from the integration of ongoing sensory signals and contextual information in various forms, such as past experience, expectations, current goals, etc. Thus, the response to a specific stimulus, say the ringing of a…

Neurons and Cognition · Quantitative Biology 2007-05-23 Emilio Salinas

This article describes a numerical procedure designed to tune the parameters of periodically-driven dynamical systems to a state in which they exhibit rich dynamical behavior. This is achieved by maximizing the diversity of subharmonic…

Chaotic Dynamics · Physics 2017-02-13 Leandro M. Alonso

By dynamic planning, we refer to the ability of the human brain to infer and impose motor trajectories related to cognitive decisions. A recent paradigm, active inference, brings fundamental insights into the adaptation of biological…

Artificial Intelligence · Computer Science 2024-11-13 Matteo Priorelli , Ivilin Peev Stoianov

The static synaptic connectivity of neuronal circuits stands in direct contrast to the dynamics of their function. As in changing community interactions, different neurons can participate actively in various combinations to effect behaviors…

Neurons and Cognition · Quantitative Biology 2024-02-29 Luciano Dyballa , Samuel Lang , Alexandra Haslund-Gourley , Eviatar Yemini , Steven W. Zucker

We introduce and study a new model of interacting neural networks, incorporating the spatial dimension (e.g. position of neurons across the cortex) and some learning processes. The dynamic of each neural network is described via the elapsed…

Analysis of PDEs · Mathematics 2020-09-03 Delphine Salort , Nicolas Torres

Feedback loops are major components of biochemical systems. Many systems show multiple such (positive or negative) feedback loops. Nevertheless, very few quantitative analyses address the question how such multiple feedback loops evolved.…

Quantitative Methods · Quantitative Biology 2010-03-08 M. Hafner , H. Koeppl , A. Wagner

How spiking neuronal networks encode memories in their different time and spatial scales constitute a fundamental topic in neuroscience and neuro-inspired engineering. Much attention has been paid to large networks and long-term memory, for…

Neurons and Cognition · Quantitative Biology 2023-03-23 Fabio Schittler Neves , Marc Timme

Biological organisms exhibit diverse strategies for adapting to varying environments. For example, a population of organisms may express the same phenotype in all environments (`unvarying strategy'), or follow environmental cues and express…

Populations and Evolution · Quantitative Biology 2022-06-08 BingKan Xue , Pablo Sartori , Stanislas Leibler

In this paper a novelty filter is introduced which allows a robot operating in an un structured environment to produce a self-organised model of its surroundings and to detect deviations from the learned model. The environment is perceived…

Robotics · Computer Science 2007-05-23 Stephen Marsland , Ulrich Nehmzow , Jonathan Shapiro