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Living systems process sensory data to facilitate adaptive behaviour. A given sensor can be stimulated as the result of internally driven activity, or by purely external (environmental) sources. It is clear that these inputs are processed…

Neural and Evolutionary Computing · Computer Science 2022-05-16 James Garner , Matthew Egbert

We study the response to perturbations in the thermodynamic limit of a network of coupled identical agents undergoing a stochastic evolution which, in general, describes non-equilibrium conditions. All systems are nudged towards the common…

Statistical Mechanics · Physics 2020-11-30 Valerio Lucarini , G. A. Pavliotis , Niccolò Zagli

Optimal processes in stochastic thermodynamics are a frontier for understanding the control and design of non-equilibrium systems, with broad practical applications in biology, chemistry, and nanoscale/mesoscale systems. Optimal mass…

Statistical Mechanics · Physics 2026-01-15 Atul Tanaji Mohite , Heiko Rieger

We straight-forwardly derive the Onsager-Machlup Lagrangian from the Fokker-Planck equation and show that friction and dissipation are a natural property of the equation of motion. We develop a method to calculate the local variance…

Statistical Mechanics · Physics 2020-12-15 Alexander Jurisch

We address the problem of building theoretical models that help elucidate the function of the visual brain at computational/algorithmic and structural/mechanistic levels. We seek to understand how the receptive fields and topographic maps…

Neural and Evolutionary Computing · Computer Science 2020-11-10 Simon Osindero

Sensing is the process of deriving signals from the environment that allows artificial systems to interact with the physical world. The Shannon theorem specifies the maximum rate at which information can be acquired. However, this upper…

Neural and Evolutionary Computing · Computer Science 2018-02-16 Anh Tuan Nguyen , Jian Xu , Zhi Yang

Precise temperature measurements on systems of few ultracold atoms is of paramount importance in quantum technologies, but can be very resource-intensive. Here, we put forward an adaptive Bayesian framework that substantially boosts the…

In this work we study the detection of weak stimuli by spiking neurons in the presence of certain level of noisy background neural activity. Our study has focused in the realistic assumption that the synapses in the network present…

Neurons and Cognition · Quantitative Biology 2009-06-04 Jorge F. Mejias , Joaquin J. Torres

This work uses game theory as a mathematical framework to address interaction modeling in multi-agent motion forecasting and control. Despite its interpretability, applying game theory to real-world robotics, like automated driving, faces…

Machine Learning · Computer Science 2023-12-05 Christopher Diehl , Tobias Klosek , Martin Krüger , Nils Murzyn , Timo Osterburg , Torsten Bertram

This paper presents a new formulation for model-free robust optimal regulation of continuous-time nonlinear systems. The proposed reinforcement learning based approach, referred to as incremental adaptive dynamic programming (IADP),…

Systems and Control · Electrical Eng. & Systems 2022-03-25 Cong Li , Yongchao Wang , Fangzhou Liu , Qingchen Liu , Martin Buss

We present a theoretical application of an optimal experiment design (OED) methodology to the development of mathematical models to describe the stimulus-response relationship of sensory neurons. Although there are a few related studies in…

Neurons and Cognition · Quantitative Biology 2016-10-19 R. Ozgur Doruk , Kechen Zhang

We consider damage spreading transitions in the framework of mode-coupling theory. This theory describes relaxation processes in glasses in the mean-field approximation which are known to be characterized by the presence of an exponentially…

Disordered Systems and Neural Networks · Physics 2009-10-31 M. Heerema , F. Ritort

Adaptive machines have the potential to assist or interfere with human behavior in a range of contexts, from cognitive decision-making to physical device assistance. Therefore it is critical to understand how machine learning algorithms can…

Artificial Intelligence · Computer Science 2023-05-03 Benjamin J. Chasnov , Lillian J. Ratliff , Samuel A. Burden

We propose and demonstrate an experimental scheme to engineer thermal baths with independently tunable temperatures and dissipation rates for the motional modes of a trapped-ion system. This approach enables robust thermal-state preparation…

In the recent progress in nonequilibrium thermodynamics, information has been recognized as a kind of thermodynamic resource that can drive thermodynamic current without any direct energy injection. In this paper, we establish the framework…

Statistical Mechanics · Physics 2016-11-22 Shumpei Yamamoto , Sosuke Ito , Naoto Shiraishi , Takahiro Sagawa

We introduce a stochastic model that describes the quasi-static dynamics of an electric transmission network under perturbations introduced by random load fluctuations, random removing of system components from service, random repair times…

Physics and Society · Physics 2007-05-23 Marian Anghel , Kenneth A. Werley , Adilson E. Motter

We present a parallel derivation of the Thouless-Anderson-Palmer (TAP) equations and of an effective potential for the negative perceptron and soft sphere models in high dimension. Both models are continuous constrained satisfaction…

Disordered Systems and Neural Networks · Physics 2016-09-21 Ada Altieri , Silvio Franz , Giorgio Parisi

The discerning behavior of living systems relies on accurate interactions selected from the lot of molecular collisions occurring in the cell. To ensure the reliability of interactions, binding partners are classically envisioned as finely…

Molecular Networks · Quantitative Biology 2016-09-28 Denis Michel , Benjamin Boutin , Philippe Ruelle

We study automated intrusion response and formulate the interaction between an attacker and a defender as an optimal stopping game where attack and defense strategies evolve through reinforcement learning and self-play. The game-theoretic…

Computer Science and Game Theory · Computer Science 2024-04-23 Kim Hammar , Rolf Stadler

Thermodynamical properties of an interacting boson system at finite temperatures and zero chemical potential are studied within the framework of the Skyrme-like mean-field toy model. It is assumed that the mean field contains both…

Nuclear Theory · Physics 2019-02-20 D. Anchishkin , I. Mishustin , H. Stoecker