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Evaluating the linear response of a driven system to a change in environment temperature(s) is essential for understanding thermal properties of nonequilibrium systems. The system is kept in weak contact with possibly different fast…

Statistical Mechanics · Physics 2014-12-01 Marco Baiesi , Urna Basu , Christian Maes

The energetic optimization problem, e.g., searching for the optimal switch- ing protocol of certain system parameters to minimize the input work, has been extensively studied by stochastic thermodynamics. In current work, we study this…

Statistical Mechanics · Physics 2010-01-07 Linchen Gong , Ming Li , Zhong-can Ou-yang

Efficient dynamic spectrum access mechanism is crucial for improving the spectrum utilization. In this paper, we consider the dynamic spectrum access mechanism design with both complete and incomplete network information. When the network…

Networking and Internet Architecture · Computer Science 2012-04-13 Xu Chen , Jianwei Huang

We consider a class of models describing an ensemble of identical interacting agents subject to multiplicative noise. In the thermodynamic limit, these systems exhibit continuous and discontinuous phase transitions in a, generally,…

Statistical Mechanics · Physics 2023-10-27 Niccolò Zagli , Grigorios A. Pavliotis , Valerio Lucarini , Alexander Alecio

Eukaryotic adaptation pathways operate within wide-ranging environmental conditions without stimulus saturation. Despite numerous differences in the adaptation mechanisms employed by bacteria and eukaryotes, all require energy consumption.…

Cell Behavior · Quantitative Biology 2014-03-05 Giovanna De Palo , Robert G. Endres

Adaptive game systems aim to enrich player experiences by dynamically adjusting game content in response to user data. While extensive research has addressed content personalization and player experience modeling, the integration of these…

Human-Computer Interaction · Computer Science 2025-05-05 Phil Lopes , Nuno Fachada , Maria Fonseca

We identify generic protocols achieving optimal power extraction from a single active particle subject to continuous feedback control under the assumption that its spatial trajectory, but not its instantaneous self-propulsion force, is…

Statistical Mechanics · Physics 2023-11-08 Luca Cocconi , Jacob Knight , Connor Roberts

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

We investigate the thermodynamics and transient dynamics of the (unbiased) Ohmic two-state system by exploiting the equivalence of this model to the interacting resonant level model. For the thermodynamics, we show, by using the numerical…

Strongly Correlated Electrons · Physics 2016-04-21 H. T. M. Nghiem , D. M. Kennes , C. Klöckner , V. Meden , T. A. Costi

The brain attenuates its responses to self-produced exteroceptions (e.g., we cannot tickle ourselves). Is this phenomenon, known as sensory attenuation, enabled innately, or acquired through learning? Here, our simulation study using a…

Neurons and Cognition · Quantitative Biology 2022-08-15 Hayato Idei , Wataru Ohata , Yuichi Yamashita , Tetsuya Ogata , Jun Tani

Optimal control theory deals with finding protocols to steer a system between assigned initial and final states, such that a trajectory-dependent cost function is minimized. The application of optimal control to stochastic systems is an…

Statistical Mechanics · Physics 2024-09-18 Julia Sanders , Marco Baldovin , Paolo Muratore-Ginanneschi

We study the convergence to equilibrium of an underdamped Langevin equation that is controlled by a linear feedback force. Specifically, we are interested in sampling the possibly multimodal invariant probability distribution of a Langevin…

Optimization and Control · Mathematics 2022-01-12 Tobias Breiten , Carsten Hartmann , Lara Neureither , Upanshu Sharma

A sufficient statistic is a significant concept in statistics, which means a probability variable that has sufficient information required for an inference task. We investigate the roles of sufficient statistics and related quantities in…

Statistical Mechanics · Physics 2018-04-11 Takumi Matsumoto , Takahiro Sagawa

A massively recurrent neural network responds on one side to input stimuli and is autonomously active, on the other side, in the absence of sensory inputs. Stimuli and information processing depends crucially on the qualia of the…

Disordered Systems and Neural Networks · Physics 2012-02-01 Dimitrije Markovic , Claudius Gros

For sampling multiple pathways in a rugged energy landscape, we propose a novel action-based path sampling method using the Onsager-Machlup action functional. Inspired by the Fourier-path integral simulation of a quantum mechanical system,…

Biological Physics · Physics 2015-05-18 Hiroshi Fujisaki , Motoyuki Shiga , Akinori Kidera

The application of thermodynamic reasoning in the study of learning systems has a long tradition. Recently, new tools relating perfect thermodynamic adaptation to the adaptation process have been developed. These results, known as…

Statistical Mechanics · Physics 2023-09-07 Pedro Hack , Cecilia Lindig-Leon , Sebastian Gottwald , Daniel A. Braun

The mammalian brain is a metabolically expensive device, and evolutionary pressures have presumably driven it to make productive use of its resources. For sensory areas, this concept has been expressed more formally as an optimality…

Neurons and Cognition · Quantitative Biology 2016-03-02 Deep Ganguli , Eero P. Simoncelli

We consider the problem of shaping the transient step response of nonlinear systems to satisfy a class of integral constraints. Such constraints are inherent in hybrid energy systems consisting of energy sources and storage elements. While…

Systems and Control · Electrical Eng. & Systems 2020-12-24 Farzad Aalipour , Tuhin Das

This work is devoted to the investigation of the most probable transition time between metastable states for stochastic dynamical systems. Such a system is modeled by a stochastic differential equation with non-vanishing Brownian noise, and…

Mathematical Physics · Physics 2021-08-11 Yuanfei Huang , Ying Chao , Wei Wei , Jinqiao Duan

We examine an important setting for engineered systems in which low-power distributed sensors are each making highly noisy measurements of some unknown target function. A center wants to accurately learn this function by querying a small…

Machine Learning · Computer Science 2014-06-26 Maria-Florina Balcan , Chris Berlind , Avrim Blum , Emma Cohen , Kaushik Patnaik , Le Song
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