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We study the elementary problem of moving an active particle by a trap with minimum work input. We show analytically that (open-loop) optimal protocols are not affected by activity, but work fluctuations are always increased. For…

Statistical Mechanics · Physics 2025-07-10 Rosalba Garcia-Millan , Janik Schüttler , Michael E. Cates , Sarah A. M. Loos

This paper studies a problem of Bayesian parameter estimation for a sequence of scaled counting processes whose weak limit is a Brownian motion with an unknown drift. The main result of the paper is that the limit of the posterior…

Statistics Theory · Mathematics 2015-03-19 Asaf Cohen

The amount of extractable work from a physical system is fundamentally connected to the information available about its state, as illustrated by Maxwell's demon and the Gibbs paradox. In standard thermodynamic protocols involving…

Quantum Physics · Physics 2026-02-27 Tanmoy Biswas

Modelling highly multi-modal data is a challenging problem in machine learning. Most algorithms are based on maximizing the likelihood, which corresponds to the M(oment)-projection of the data distribution to the model distribution. The…

Machine Learning · Computer Science 2020-01-24 Philipp Becker , Oleg Arenz , Gerhard Neumann

Quantum error mitigation (QEM) is essential for the noisy intermediate-scale quantum era, and will remain relevant for early fault-tolerant quantum computers, where logical error rates are still significant. However, most QEM methods incur…

Quantum Physics · Physics 2026-03-25 Pablo Díez-Valle , Gaurav Saxena , Jack S. Baker , Jun-Ho Lee , Thi Ha Kyaw

We revisit the elementary problem of moving a particle in a harmonic trap in finite time with minimal work cost, and extend it to the case of an active particle. By comparing the Gaussian case of an Active Ornstein-Uhlenbeck particle and…

Statistical Mechanics · Physics 2025-07-16 Janik Schüttler , Rosalba Garcia-Millan , Michael E. Cates , Sarah A. M. Loos

Sequential Bayesian optimal experimental design (SBOED) for PDE-governed inverse problems is computationally challenging, especially for infinite-dimensional random field parameters. High-fidelity approaches require repeated forward and…

Optimization and Control · Mathematics 2026-01-12 Kaichen Shen , Peng Chen

We study an information-based mechanism of self-propulsion in noisy environment. An information swimmer maintains directional motion by periodically measuring its velocity and accordingly adjusting its friction coefficient. Assuming that…

Statistical Mechanics · Physics 2020-11-18 Chen Huang , Mingnan Ding , Xiangjun Xing

Structured and grounded representation of text is typically formalized by closed information extraction, the problem of extracting an exhaustive set of (subject, relation, object) triplets that are consistent with a predefined set of…

Computation and Language · Computer Science 2022-04-14 Martin Josifoski , Nicola De Cao , Maxime Peyrard , Fabio Petroni , Robert West

In this paper, we consider the distribution-dependent SDE driven by fractional Brownian motion with small noise and study the rate of Fisher information convergence in the central limit theorem for the solution of SDE, then we show that the…

Probability · Mathematics 2025-01-08 Tongxuan Liu , Qian Yu

Brownian motion in confinement and at interfaces is a canonical situation, encountered from fundamental biophysics to nanoscale engineering. Using the Lorenz-Mie framework, we optically record the thermally-induced tridimensional…

Soft Condensed Matter · Physics 2021-07-14 Maxime Lavaud , Thomas Salez , Yann Louyer , Yacine Amarouchene

Driven by the demands of high-frequency wireless communications in 5G and 6G systems (e.g., mmWave, sub-THz), we explore a state-dependent {\em Gaussian beam-pointing} (GBP) channel. In this model, the channel state defines an unknown angle…

Information Theory · Computer Science 2025-08-29 Siyao Li , Shuangyang Li , Giuseppe Caire

Bayesian Experimental Design (BED), which aims to find the optimal experimental conditions for Bayesian inference, is usually posed as to optimize the expected information gain (EIG). The gradient information is often needed for efficient…

Machine Learning · Statistics 2023-12-14 Ziqiao Ao , Jinglai Li

A basic task of information processing is information transfer (flow). Here we study a pair of Brownian particles each coupled to a thermal bath at temperature $T_1$ and $T_2$, respectively. The information flow in such a system is defined…

Statistical Mechanics · Physics 2015-05-13 Armen E. Allahverdyan , Dominik Janzing , Guenter Mahler

Controller tuning and parameter optimization are crucial in system design to improve closed-loop system performance. Bayesian optimization has been established as an efficient model-free controller tuning and adaptation method. However,…

Systems and Control · Electrical Eng. & Systems 2024-04-24 Christopher König , Raamadaas Krishnadas , Efe C. Balta , Alisa Rupenyan

We propose a modification of the improved cross entropy (iCE) method to enhance its performance for network reliability assessment. The iCE method performs a transition from the nominal density to the optimal importance sampling (IS)…

Applications · Statistics 2022-11-18 Jianpeng Chan , Iason Papaioannou , Daniel Straub

We investigate the advantage of using squeezed input light for generating gravity-induced entanglement (GIE) through Fourier-domain analysis. Based on the findings of Ref.~\cite{Miki2024}, which demonstrated the feasibility of detecting GIE…

Quantum Physics · Physics 2026-03-09 Kosei Hatakeyama , Daisuke Miki , Kazuhiro Yamamoto

We study the problem of parameter estimation for the homogenization limit of multiscale systems involving fractional dynamics. In the case of stochastic multiscale systems driven by Brownian motion, it has been shown that in order for the…

Statistics Theory · Mathematics 2025-05-14 Pablo Ramses Alonso-Martin , Horatio Boedihardjo , Anastasia Papavasiliou

The Gene-pool Optimal Mixing EA (GOMEA) family of EAs offers a specific means to exploit problem-specific knowledge through linkage learning, i.e., inter-variable dependency detection, expressed using subsets of variables, that should…

Neural and Evolutionary Computing · Computer Science 2025-07-01 Renzo J. Scholman , Tanja Alderliesten , Peter A. N. Bosman

We construct and extensively study a Brownian generalization of the Gaussian Unitary Ensemble (BGUE). Our analysis begins with the non-equilibrium dynamics of BGUE, where we derive explicit analytical expressions for various one-replica and…

High Energy Physics - Theory · Physics 2024-06-18 Haifeng Tang
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