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AB testing evaluates the difference between a control and a treatment in a statistically rigorous manner. Continuous monitoring allows statistical evaluation of an AB test as it proceeds. One goal of continuous monitoring is early stopping…

统计方法学 · 统计学 2025-10-16 Eric Bax , Alex Shtoff

As neural networks become more popular, the need for accompanying uncertainty estimates increases. There are currently two main approaches to test the quality of these estimates. Most methods output a density. They can be compared by…

机器学习 · 统计学 2024-06-05 Laurens Sluijterman , Eric Cator , Tom Heskes

A longstanding debate in semiotics centers on the relationship between linguistic signs and their corresponding semantics: is there an arbitrary relationship between a word form and its meaning, or does some systematic phenomenon pervade?…

计算与语言 · 计算机科学 2019-07-30 Tiago Pimentel , Arya D. McCarthy , Damián E. Blasi , Brian Roark , Ryan Cotterell

Background channels with their expected strength and uncertainty levels are usually known in searches of novel phenomena prior to the experiments are conducted at their design stage. We quantitatively study the projected sensitivities in…

高能物理 - 实验 · 物理学 2024-02-07 M. K. Singh , H. B. Li , H. T. Wong , V. Sharma , L. Singh

We present a Bayesian perspective on quantifying the uncertainty of graph signals estimated or reconstructed from imperfect observations. We show that many conventional methods of graph signal estimation, reconstruction and imputation, can…

信号处理 · 电气工程与系统科学 2025-05-22 Lennard Rompelberg , Michael T. Schaub

Gravitational-wave parameter estimation for compact binary signals typically relies on sequential estimation of the properties of the detector Gaussian noise and of the binary parameters. This procedure assumes that the noise variance,…

广义相对论与量子宇宙学 · 物理学 2022-11-14 Cailin Plunkett , Sophie Hourihane , Katerina Chatziioannou

In this paper three different scenarios in wide band spectrum sensing have been studied. While the signal and noise statistics are supposed to be unspecified, random matrixes have been utilized in order to estimate the noise variance. These…

信号处理 · 电气工程与系统科学 2018-03-14 Sajjad Imani , Amin Banitalebi-Dehkordi , Mehdi Cheraghi

We investigate the optimal tradeoff between information gained about an unknown coherent state and the state disturbance caused by the measurement process. We propose several optical schemes that can enable this task, and we implement one…

量子物理 · 物理学 2009-11-11 Ulrik L. Andersen , Metin Sabuncu , Radim Filip , Gerd Leuchs

When you measure an observable, A, in Quantum Mechanics, the state of the system changes. This, in turn, affects the quantum-mechanical uncertainty in some non-commuting observable, B. The standard Uncertainty Relation puts a lower bound on…

量子物理 · 物理学 2015-06-12 Jacques Distler , Sonia Paban

When a quantum system is monitored in continuous time, the result of the measurement is a stochastic process. When the output process is stationary, at least in the long run, the spectrum of the process can be introduced and its properties…

量子物理 · 物理学 2009-10-09 Alberto Barchielli , Matteo Gregoratti

Interpreting experimental data in high school experiments can be a difficult task for students, especially when there is large variation in the data. At the same time, calculating the standard deviation poses a challenge for students. In…

物理教育 · 物理学 2022-10-18 Karel Kok , Burkhard Priemer

We show on theoretical grounds that, even in the presence of noise, probabilistic measurement strategies (which have a certain probability of failure or abstention) can provide, upon a heralded successful outcome, estimates with a precision…

量子物理 · 物理学 2016-10-27 J. Calsamiglia , B. Gendra , R. Munoz-Tapia , E. Bagan

Clinical dataset labels are rarely certain as annotators disagree and confidence is not uniform across cases. Typical aggregation procedures, such as majority voting, obscure this variability. In simple experiments on medical imaging…

Quantum measurements are not deterministic. For this reason quantum measurements are repeated for a number of shots on identically prepared systems. The uncertainty in each measurement depends on the number of shots and the expected outcome…

量子物理 · 物理学 2025-03-12 Pieter Thijs Eendebak

Nonlinearity in many systems is heavily dependent on component variation and environmental factors such as temperature. This is often overcome by keeping signals close enough to the device's operating point that it appears approximately…

信号处理 · 电气工程与系统科学 2022-05-18 Lachlan J. Gunn , Andrew Allison , Derek Abbott

Experimental research on behavior and cognition frequently rests on stimulus or subject selection where not all characteristics can be fully controlled, even when attempting strict matching. For example, when contrasting patients to…

统计方法学 · 统计学 2016-08-29 Jona Sassenhagen , Phillip M. Alday

We propose a new test statistic based on a score process for determining the statistical significance of a putative signal that may be a small perturbation to a noisy experimental background. We derive the reference distribution for this…

数据分析、统计与概率 · 物理学 2007-05-23 Ramani S. Pilla , Catherine Loader , Cyrus Taylor

Standardness is a popular assumption in the literature on set estimation. It also appears in statistical approaches to topological data analysis, where it is common to assume that the data were sampled from a probability measure that…

统计理论 · 数学 2025-02-27 Alejandro Cholaquidis , Leonardo Moreno , Beatriz Pateiro-López

On the basis of an analysis of previous research, we present a generalized approach for measuring the difference of plans with an exemplary application to machine scheduling. Our work is motivated by the need for such measures, which are…

人工智能 · 计算机科学 2015-03-17 Martin Josef Geiger

A comprehensive uncertainty estimation is vital for the precision program of the LHC. While experimental uncertainties are often described by stochastic processes and well-defined nuisance parameters, theoretical uncertainties lack such a…

高能物理 - 唯象学 · 物理学 2023-05-08 Aishik Ghosh , Benjamin Nachman , Tilman Plehn , Lily Shire , Tim M. P. Tait , Daniel Whiteson
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