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Using the Fisher information (FI), the design of neutron reflectometry experiments can be optimised, leading to greater confidence in parameters of interest and better use of experimental time [Durant, Wilkins, Butler, & Cooper (2021). J.…

数据分析、统计与概率 · 物理学 2022-08-10 James H. Durant , Lucas Wilkins , Joshaniel F. K. Cooper

The estimation of continuous parameters from measured data plays a central role in many fields of physics. A key tool in understanding and improving such estimation processes is the concept of Fisher information, which quantifies how…

We present a toolbox of new techniques and concepts for the efficient forecasting of experimental sensitivities. These are applicable to a large range of scenarios in (astro-)particle physics, and based on the Fisher information formalism.…

天体物理仪器与方法 · 物理学 2018-02-28 Thomas D. P. Edwards , Christoph Weniger

The Bayesian decision-theoretic approach to design of experiments involves specifying a design (values of all controllable variables) to maximise the expected utility function (expectation with respect to the distribution of responses and…

统计理论 · 数学 2021-09-24 Antony M. Overstall

Current experimental design techniques for dynamical systems often only incorporate measurement noise, while dynamical systems also involve process noise. To construct experimental designs we need to quantify their information content. The…

统计方法学 · 统计学 2026-03-24 Arno Strouwen , Bart M. Nicolaï , Peter Goos

Expected Fisher information can be found a priori and as a result its inverse is the primary variance approximation used in the design of experiments. This is in contrast to the common claim that the inverse of observed Fisher information…

统计方法学 · 统计学 2022-08-04 Adam Lane

We present a Fisher-information (FI) framework for photon-efficient fluorescence lifetime imaging microscopy (FLIM) that treats temporal sampling as a controllable design variable under a fixed photon (dose) budget. Starting from a Poisson…

仪器与探测器 · 物理学 2026-01-05 J. Sumaya-Martinez , E. Torres-Garcia

Fisher Information is a key notion in the whole field of quantum metrology. It allows for a direct quantification of maximal achievable precision of estimation of parameters encoded in quantum states using the most general quantum…

量子物理 · 物理学 2023-04-25 Stanislaw Kurdzialek , Rafal Demkowicz-Dobrzanski

One of the key challenges in performing muon experiments is knowing which temperatures and applied fields to measure at, and how many muon decays should be measured at each temperature/field combination to get the most useful dataset. We…

高能物理 - 实验 · 物理学 2025-11-12 Alex Sampson , Peter J. Baker , Lucas Wilkins , John M. Wilkinson

The Fisher Information matrix is a widely used measure for applications ranging from statistical inference, information geometry, experiment design, to the study of criticality in biological systems. Yet there is no commonly accepted…

统计计算 · 统计学 2016-02-17 Omri Har Shemesh , Rick Quax , Borja Miñano , Alfons G. Hoekstra , Peter M. A. Sloot

Information theory provides a useful tool to understand the evolution of complex nonlinear systems and their sustainability. In particular, Fisher Information (FI) has been evoked as a useful measure of sustainability and the variability of…

动力系统 · 数学 2016-08-18 Avan Al-Saffar , Eun-jin Kim

Spectroscopy detected in the time domain entails many techniques, such as FTIR, pump-probe, FT-Raman, and 2DES, and applications, such as molecule characterization, excited state dynamics studies, or spectra classifications. Surprisingly,…

光学 · 物理学 2024-05-21 Luca Bolzonello , Niek F van Hulst , Andreas Jakobsson

The quality of numerical reconstructions for unknown parameters in inverse problems depends fundamentally on the selection of experimental data. To ensure a robust reconstruction, it is crucial to select data that are sensitive to the…

数值分析 · 数学 2026-04-14 Kathrin Hellmuth , Christian Klingenberg , Qin Li

Information theory is a powerful framework to capture aspects of dynamical systems with multiple degrees of freedom. Mathematically, the dynamics can be represented as a continuous curve $\mathcal{C}$ on a suitable hyperplane in flat space…

信息论 · 计算机科学 2026-04-28 Mattia Carrino , Stefan Hohenegger

This paper presents state estimation and stochastic optimal control gathered in one global optimization problem generating dual effect i.e. the control can improve the future estimation. As the optimal policy is impossible to compute, a…

最优化与控制 · 数学 2023-03-27 Emilien Flayac , Karim Dahia , Bruno Hérissé , Frédéric Jean

Fine-tuning and naturalness, the sensitivity of low-energy observables to small changes in the fundamental parameters of a theory, are cornerstones of physics beyond the Standard Model. We propose a new measure of fine-tuning based on…

高能物理 - 理论 · 物理学 2026-05-04 James Halverson , Thomas R. Harvey , Michael Nee

Estimation of model parameters in a dynamic system can be significantly improved with the choice of experimental trajectory. For general, nonlinear dynamic systems, finding globally "best" trajectories is typically not feasible; however,…

机器人学 · 计算机科学 2017-09-12 Andrew D. Wilson , Jarvis A. Schultz , Todd D. Murphey

Neutron and X-ray reflectometry are powerful techniques facilitating the study of the structure of interfacial materials. The analysis of these techniques is ill-posed in nature requiring the application of a model-dependent methods. This…

软凝聚态物质 · 物理学 2022-07-22 Andrew R. McCluskey , Thomas Arnold , Joshaniel F. K. Cooper , Tim Snow

The Fisher information matrix provides a way to measure the amount of information given observed data based on parameters of interest. Many applications of the FIM exist in statistical modeling, system identification, and parameter…

统计计算 · 统计学 2021-04-16 Xuan Wu

We develop a quantum metrological framework for resonant nanophotonic sensors based on subwavelength Fabry--Perot slit cavities. Building on classical Fisher-information analyses of resonant transmission sensors, we model parameter encoding…

量子物理 · 物理学 2025-12-18 J. Sumaya-Martinez
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