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This paper develops a Bayesian mechanics for adaptive systems. Firstly, we model the interface between a system and its environment with a Markov blanket. This affords conditions under which states internal to the blanket encode information…

数学物理 · 物理学 2021-12-22 Lancelot Da Costa , Karl Friston , Conor Heins , Grigorios A. Pavliotis

Bayesian theories of biological and brain function speculate that Markov blankets (a conditional independence separating a system from external states) play a key role for facilitating inference-like behaviour in living systems. Although it…

神经元与认知 · 定量生物学 2022-07-27 Miguel Aguilera , Ángel Poc-López , Conor Heins , Christopher L. Buckley

This paper presents a continuous, information-theoretic extension of the Free Energy Principle through the concept of Markov blanket density, i.e., a scalar field that quantifies the degree of conditional independence between internal and…

神经元与认知 · 定量生物学 2025-08-12 Luca M. Possati

We describe the results of analytic calculations and computer simulations of adaptive predictors (predictive agents) responding to an evolving chaotic environment and to one another. Our simulations are designed to quantify adaptation and…

adap-org · 物理学 2008-02-03 Alfred Hübler , David Pines

Living systems adapt to various environmental conditions by changing their internal states. Inspired by gene expression and epigenetic modification dynamics, we herein propose a generic mechanism for adaptation by combining fast oscillatory…

定量方法 · 定量生物学 2022-09-23 Yuuki Matsushita , Kunihiko Kaneko

The linear response of a dynamical system refers to changes to properties of the system when small external perturbations are applied. We consider the little-studied question of selecting an optimal perturbation so as to (i) maximise the…

动力系统 · 数学 2018-04-04 Fadi Antown , Davor Dragičević , Gary Froyland

This monograph attempts a theory of every 'thing' that can be distinguished from other things in a statistical sense. The ensuing statistical independencies, mediated by Markov blankets, speak to a recursive composition of ensembles (of…

神经元与认知 · 定量生物学 2019-06-26 Karl Friston

In statistical mechanics, the Potts model is a model for interacting spins with more than two discrete states. Neural networks which exhibit features of learning and associative memory can also be modeled by a system of Potts spins. A…

无序系统与神经网络 · 物理学 2015-06-03 Mohammad-Farshad Abdollah-nia , Mohammadkarim Saeedghalati , Abdolhossein Abbassian

Adaptive dynamical networks are network systems in which the structure co-evolves and interacts with the dynamical state of the nodes. We study an adaptive dynamical network in which the structure changes on a slower time scale relative to…

适应与自组织系统 · 物理学 2024-08-15 Matheus Rolim Sales , Serhiy Yanchuk , Jürgen Kurths

This paper introduces a novel approach to quantifying ecological resilience in biological systems, particularly focusing on noisy systems responding to episodic disturbances with sudden adaptations. Incorporating concepts from…

定量方法 · 定量生物学 2024-12-24 Jorge M. Ramirez , Juan M. Restrepo , Valerio Lucarini , David Weston

We study the problem of resilient strategies in the presence of uncertainty. Resilient strategies enable an agent to make decisions that are robust against disturbances. In particular, we are interested in those disturbances that are able…

计算机科学与博弈论 · 计算机科学 2026-03-02 Kush Grover , Markel Zubia , Debraj Chakraborty , Muqsit Azeem , Nils Jansen , Jan Kretinsky

Recent characterisations of self-organising systems depend upon the presence of a Markov blanket: a statistical boundary that mediates the interactions between what is inside of and outside of a system. We leverage this idea to provide an…

神经元与认知 · 定量生物学 2020-06-05 Ines Hipolito , Maxwell Ramstead , Laura Convertino , Anjali Bhat , Karl Friston , Thomas Parr

This paper formulates a notion of high-dimensional random dynamical systems that couple to another system, like an embedding environment, in such a way that each system engages in controlled exchange with the other system. Using the…

数学物理 · 物理学 2022-08-16 Dalton A R Sakthivadivel

Markovian population models are suitable abstractions to describe well-mixed interacting particle systems in situation where stochastic fluctuations are significant due to the involvement of low copy particles. In molecular biology,…

定量方法 · 定量生物学 2014-01-17 Christoph Zechner , Federico Wadehn , Heinz Koeppl

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…

神经元与认知 · 定量生物学 2021-01-06 Jakob Jordan , Maximilian Schmidt , Walter Senn , Mihai A. Petrovici

Exploiting intrinsic structures in sparse signals underpins the recent progress in compressive sensing (CS). The key for exploiting such structures is to achieve two desirable properties: generality (\ie, the ability to fit a wide range of…

信号处理 · 电气工程与系统科学 2018-12-26 Suwichaya Suwanwimolkul , Lei Zhang , Dong Gong , Zhen Zhang , Chao Chen , Damith C. Ranasinghe , Qinfeng Shi

When we interact with small screen devices, sometimes we make errors, due to our abilities/disabilities, contextual factors that distract our attention or problems related to the interface. Recovering from these errors may be time consuming…

人机交互 · 计算机科学 2019-04-15 Elgin Akpınar , Yeliz Yeşilada , Selim Temizer

A variety of nonlinear models of biological systems generate complex chaotic behaviors that contrast with biological homeostasis, the observation that many biological systems prove remarkably robust in the face of changing external or…

混沌动力学 · 物理学 2023-07-07 Jonathan Jaquette , Sonal Kedia , Evelyn Sander , Jonathan D. Touboul

Adaptive chaos control has been studied extensively for autonomous systems. For real world, non-autonomous systems, such as the planetary weather, observations of the system state in response to seasonally and diurnally varying forcing are…

混沌动力学 · 物理学 2025-12-15 Moyan Liu , Qin Huang , Upmanu Lall
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