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High-precision measurements require optimal setups and analysis tools to achieve continuous improvements. Systematic corrections need to be modeled with high accuracy and known uncertainty to reconstruct underlying physical phenomena. To…

数据分析、统计与概率 · 物理学 2022-05-31 Max Lamparth , Mattis Bestehorn , Bastian Märkisch

Quantum parameter estimation offers solid conceptual grounds for the design of sensors enjoying quantum advantage. This is realised not only by means of hardware supporting and exploiting quantum properties, but data analysis has its impact…

Bayesian estimation is a powerful theoretical paradigm for the operation of quantum sensors. However, the Bayesian method for statistical inference generally suffers from demanding calibration requirements that have so far restricted its…

量子物理 · 物理学 2021-09-22 Samuel P. Nolan , Augusto Smerzi , Luca Pezzè

Bayesian estimation is increasingly popular for performing model based inference to support policymaking. These data are often collected from surveys under informative sampling designs where subject inclusion probabilities are designed to…

统计方法学 · 统计学 2018-07-13 Luis G. Leon-Novelo , Terrance D. Savitsky

Distance metric learning is an important component for many tasks, such as statistical classification and content-based image retrieval. Existing approaches for learning distance metrics from pairwise constraints typically suffer from two…

机器学习 · 计算机科学 2012-06-26 Liu Yang , Rong Jin , Rahul Sukthankar

Reliable uncertainty quantification remains a central challenge in predictive modeling. While Bayesian methods are theoretically appealing, their predictive intervals can exhibit poor frequentist calibration, particularly with small sample…

统计方法学 · 统计学 2025-08-05 Graham Gibson

A statistical framework is presented enabling optimal sampling and analysis of constant life fatigue data. Protocols using Bayesian maximum entropy sampling are built based on conventional staircase and stress step methods, reducing the…

材料科学 · 物理学 2022-09-22 Christopher M Magazzeni , Rory Rose , Chris Gearhart , Jicheng Gong , Angus J Wilkinson

Intuitive human-machine interfaces may be developed using pattern classification to estimate executed human motions from electromyogram (EMG) signals generated during muscle contraction. The continual use of EMG-based interfaces gradually…

信号处理 · 电气工程与系统科学 2023-10-03 Seitaro Yoneda , Akira Furui

Outer measures can be used for statistical inference in place of probability measures to bring flexibility in terms of model specification. The corresponding statistical procedures such as Bayesian inference, estimators or hypothesis…

统计理论 · 数学 2020-05-05 Jeremie Houssineau , Neil K. Chada , Emmanuel Delande

Emerging wearable sensors have enabled the unprecedented ability to continuously monitor human activities for healthcare purposes. However, with so many ambient sensors collecting different measurements, it becomes important not only to…

机器学习 · 计算机科学 2019-01-09 Randy Ardywibowo , Guang Zhao , Zhangyang Wang , Bobak Mortazavi , Shuai Huang , Xiaoning Qian

Process-oriented theories of cognition must be evaluated against time-ordered observations. Here we present a representative example for data assimilation of the SWIFT model, a dynamical model of the control of spatial fixation position and…

神经元与认知 · 定量生物学 2019-10-23 Stefan A. Seelig , Maximilian M. Rabe , Noa Malem-Shinitski , Sarah Risse , Sebastian Reich , Ralf Engbert

Concerning systematic effects, the recommendation given in the GUM is to correct for them, but unfortunately no detailed information is available, how to do this. This publication will show, how systematic measurement deviations can be…

数据分析、统计与概率 · 物理学 2011-02-16 Michael Krystek

In this article, we propose new Bayesian methods for selecting and estimating a sparse coefficient vector for skewed heteroscedastic response. Our novel Bayesian procedures effectively estimate the median and other quantile functions,…

统计方法学 · 统计学 2017-07-04 Libo Wang , Yuanyuan Tang , Debajyoti Sinha , Debdeep Pati , Stuart Lipsitz

We investigate critical quantum metrology,that is the estimation of parameters in many-body systems close to a quantum critical point, through the lens of Bayesian inference theory. We first derive a no-go result stating that any…

量子物理 · 物理学 2023-10-31 Raffaele Salvia , Mohammad Mehboudi , Martí Perarnau-Llobet

High-dimensional changepoint inference that adapts to various change patterns has received much attention recently. We propose a simple, fast yet effective approach for adaptive changepoint testing. The key observation is that two…

统计方法学 · 统计学 2022-05-03 Guanghui Wang , Long Feng

We propose an adaptive biasing algorithm aimed at enhancing the sampling of multimodal measures by Langevin dynamics. The underlying idea consists in generalizing the standard adaptive biasing force method commonly used in conjunction with…

偏微分方程分析 · 数学 2010-08-23 Chris Chipot , Tony Lelièvre

Computerized adaptive testing (CAT) is an interesting and promising approach to testing human abilities. In our research we use Bayesian networks to create a model of tested humans. We collected data from paper tests performed with grammar…

人工智能 · 计算机科学 2017-03-28 Martin Plajner , Jiří Vomlel

Continuous collection of physiological data from wearable sensors enables temporal characterization of individual behaviors. Understanding the relation between an individual's behavioral patterns and psychological states can help identify…

We propose a novel approach to Bayesian analysis that is provably robust to outliers in the data and often has computational advantages over standard methods. Our technique is based on splitting the data into non-overlapping subgroups,…

统计理论 · 数学 2016-06-03 Stanislav Minsker , Sanvesh Srivastava , Lizhen Lin , David B. Dunson

Assessing forecasting performance is a time intensive activity, often requiring months or years before we know whether or not the reported forecasts were accurate. Cognitive tests can be quickly administered and are predictive of…