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We develop the "generalized consistent weighted sampling" (GCWS) for hashing the "powered-GMM" (pGMM) kernel (with a tuning parameter $p$). It turns out that GCWS provides a numerically stable scheme for applying power transformation on the…

Machine Learning · Statistics 2022-01-10 Ping Li , Weijie Zhao

The so-called information-thermodynamics link has been created in a series of works starting from Maxwell demon and established by the idea of transforming information into work in the though experiment of Szilard which then evolved into…

Quantum Physics · Physics 2018-01-23 Robert Alicki

We generalize the additive constrained Gaussian process framework to handle interactions between input variables while enforcing monotonicity constraints everywhere on the input space. The block-additive structure of the model is…

Methodology · Statistics 2025-01-22 M. Deronzier , A. F. López-Lopera , F. Bachoc , O. Roustant , J. Rohmer

Recently, in a letter to Nature, del Rio et al.8 exploited the quantum viewpoint of the old but well-known thought experiment of Maxwell's demon, a tiny "man-machine" that processes only a single unit of information. In their work, they…

Information Theory · Computer Science 2013-01-21 Alexandre de Castro

The essence of both classical and quantum engines is to extract useful energy (work) from stochastic energy sources, e.g. thermal baths. In Maxwell's demon engines, work extraction is assisted by a feedback control based on measurements…

Quantum Physics · Physics 2017-07-11 Cyril Elouard , David Herrera-Martí , Benjamin Huard , Alexia Auffèves

This paper addresses two seemingly unrelated problems, (a) What is the entropy and energy accounting in the Maxwell Demon problem? and (b) How can the efficiency of markets be measured? Here we show, in a simple model for the Maxwell Demon,…

Classical Physics · Physics 2008-12-02 Roger D. Jones , Sven G. Redsun , Roger E. Frye , Kelly D. Myers

We analyze a periodic optimal finite-time two-state information-driven machine that extracts work from a single heat bath exploring imperfect measurements. Two models are considered, a memory-less one that ignores past measurements and an…

Statistical Mechanics · Physics 2014-09-26 Michael Bauer , Andre C. Barato , Udo Seifert

In mathematical physical analyses of Szilard's engine and Maxwell's demon, a general assumption (explicit or implicit) is that one can neglect the energy needed for relocating the piston in Szilard's engine and for driving the trap door in…

General Physics · Physics 2012-06-26 Laszlo B. Kish , Claes G. Granqvist

In Szilard's engine, a demon measures a one-particle gas and applies feedback to extract work from thermal fluctuations, embodying Maxwell's notion that information reduces thermodynamic entropy - an apparent second-law violation. The…

Statistical Mechanics · Physics 2025-08-26 Xiangjun Xing

We study the reduction in total entropy, and associated conversion of environmental heat into work, arising from the coupling and decoupling of two systems followed by processing determined by suitable mutual feedback. The scheme is based…

Statistical Mechanics · Physics 2016-05-10 Ian J. Ford , Michael Maitland

An estimation problem of fundamental interest is that of phase synchronization, in which the goal is to recover a collection of phases using noisy measurements of relative phases. It is known that in the Gaussian noise setting, the maximum…

Optimization and Control · Mathematics 2016-11-02 Huikang Liu , Man-Chung Yue , Anthony Man-Cho So

The out of equilibrium nature of active systems can be exploited for the design of information-based engines. We design two types of an active Szilard engine that use a Maxwell daemon to extract work from an active bath composed of…

Soft Condensed Matter · Physics 2022-12-07 P. Malgaretti , H. Stark

This paper analyzes the stability of interconnected continuous-time (CT) and discrete-time (DT) systems coupled through sampling and zero-order hold mechanisms. The DT system updates its output at regular intervals $T>0$ by applying an…

Systems and Control · Electrical Eng. & Systems 2026-01-05 Yiting Chen , Francesco Bullo , Emiliano Dall'Anese

Functional mixed models are widely useful for regression analysis with dependent functional data, including longitudinal functional data with scalar predictors. However, existing algorithms for Bayesian inference with these models only…

Methodology · Statistics 2023-06-14 Thomas Y. Sun , Daniel R. Kowal

A sudden change in the macroscopic parameters of a system will cause it to depart from equilibrium. In this paper we study how a lack of change can also inform of such a departure, and allow for work extraction. Potential events that are…

Statistical Mechanics · Physics 2022-02-03 Sushrut Ghonge , Dervis Can Vural

In this paper, we propose a communication-efficiently decentralized machine learning framework that solves a consensus optimization problem defined over a network of inter-connected workers. The proposed algorithm, Censored and Quantized…

Machine Learning · Computer Science 2021-01-13 Chaouki Ben Issaid , Anis Elgabli , Jihong Park , Mehdi Bennis , Mérouane Debbah

The thermodynamical costs imposed by computational resource limitations like memory and time have been investigated before. We focus on a new computational limitation, namely, the machine being allowed to scan the input only once, and prove…

Information Theory · Computer Science 2023-04-25 Fırat Kıyak , A. C. Cem Say

Maxwell's demon elucidates the value of information in thermodynamics, using measurement and feedback: he evolves an equilibrated gas into a nonequilibrium state, from which one might extract work. The demon can evolve the system farther…

Although average gain optimality is a commonly adopted performance measure in Markov Decision Processes (MDPs), it is often too asymptotic. Further incorporating measures of immediate losses leads to the hierarchy of bias optimalities, all…

Machine Learning · Computer Science 2025-10-16 Victor Boone , Adrienne Tuynman

To induce transport, detailed balance must be broken. A common mechanism is to bias the dynamics with a thermodynamic fuel, such as chemical energy. An intriguing, alternative strategy is for a Maxwell demon to effect the bias using…

Statistical Mechanics · Physics 2015-06-11 Jordan M. Horowitz , Takahiro Sagawa , Juan M. R. Parrondo
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