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We are concerned with three types of uncertainties: probabilistic, possibilitistic and interval. By using possibility and necessity measures as an Interval Valued Probability Measure (IVPM), we present IVPM's interval expected values whose…

最优化与控制 · 数学 2008-01-25 Phantipa Thipwiwatpotjana , Weldon A. Lodwick

Bayesian Model Calibration is used to revisit the problem of scaling factor calibration for semi-empirical correction of ab initio harmonic properties (e.g. vibrational frequencies and zero-point energies). A particular attention is devoted…

化学物理 · 物理学 2016-11-15 Pascal Pernot , Fabien Cailliez

Uncertainty quantification is essential in decision-making, especially when joint distributions of random variables are involved. While conformal prediction provides distribution-free prediction sets with valid coverage guarantees, it…

机器学习 · 计算机科学 2025-01-03 Rui Luo , Zhixin Zhou

Many astronomical questions require deep, wide-field observations at low radio frequencies. Phased arrays like LOFAR and SKA-low are designed for this, but have inherently unstable element gains, leading to time, frequency and…

天体物理仪器与方法 · 物理学 2025-08-28 S. A. Brackenhoff , A. R. Offringa , M. Mevius , L. V. E. Koopmans , J. K. Chege , E. Ceccotti , C. Höfer , L. Gao , S. Ghosh , F. G. Mertens , S. Munshi

We consider the problem of detecting an elevated mean on an interval with unknown location and length in the univariate Gaussian sequence model. Recent results have shown that using scale-dependent critical values for the scan statistic…

统计理论 · 数学 2021-07-20 Guenther Walther , Andrew Perry

Calibration ensures that probabilistic forecasts meaningfully capture uncertainty by requiring that predicted probabilities align with empirical frequencies. However, many existing calibration methods are specialized for post-hoc…

机器学习 · 计算机科学 2023-11-01 Charles Marx , Sofian Zalouk , Stefano Ermon

The high-intensity, repetitive noise associated with functional magnetic resonance imaging hinders on-line monitoring of subjects' speech and/or recording speech signals suitable for off-line analysis. The proposed algorithm enhances the…

声音 · 计算机科学 2012-07-26 Satrajit S. Ghosh

This paper discusses the challenge when evaluating multi-objective optimisation algorithms under noise, and argues that decision maker preferences need to be taken into account. It demonstrates that commonly used performance metrics are…

最优化与控制 · 数学 2023-03-01 Juergen Branke

This paper studies the achievable rate region of the two-user single-input-single-output (SISO) Gaussian interference channel, when the improper Gaussian signaling is applied. Under the assumption that the interference is treated as…

信息论 · 计算机科学 2012-05-10 Yong Zeng , Cenk M. Yetis , Erry Gunawan , Yong Liang Guan , Rui Zhang

We address the problem of how to optimally schedule data packets over an unreliable channel in order to minimize the estimation error of a simple-to-implement remote linear estimator using a constant "Kalman'' gain to track the state of a…

信息论 · 计算机科学 2019-08-06 Rahul Singh , Gopal Krishna Kamath , P. R. Kumar

Calibration errors in the response function of a gravitational wave detector degrade its ability to detect and then to measure the properties of any detected signals. This paper derives the needed levels of calibration accuracy for each of…

广义相对论与量子宇宙学 · 物理学 2015-05-13 Lee Lindblom

This study presents a nonlinear signal processing method for accurate radar-based heartbeat interval estimation by exploiting the periodicity of higher-order harmonics inherent in heartbeat signals. Unlike conventional approaches that…

信号处理 · 电气工程与系统科学 2025-07-29 Kohei Shimomura , Chi-Hsuan Lee , Takuya Sakamoto

Radio interferometry is an observational technique used to study astrophysical phenomena. Data gathered by an interferometer requires substantial processing before astronomers can extract the scientific information from it. Data processing…

天体物理仪器与方法 · 物理学 2024-12-24 Brian M. Kirk , Urvashi Rau , Ramyaa Ramyaa

Stochastic parameterizations are used in numerical weather prediction and climate modeling to help capture the uncertainty in the simulations and improve their statistical properties. Convergence issues can arise when time integration…

数值分析 · 数学 2020-06-24 Panos Stinis , Huan Lei , Jing Li , Hui Wan

This paper addresses the problem of choosing a sparse subset of measurements for quick calibration parameter estimation. A standard solution to this is selecting a measurement only if its utility -- the difference between posterior (with…

机器人学 · 计算机科学 2024-09-12 Jongwon Lee , David Hanley , Timothy Bretl

When modelling time series, it is common to decompose observed variation into a "signal" process, the process of interest, and "noise", representing nuisance factors that obfuscate the signal. To separate signal from noise, assumptions must…

统计方法学 · 统计学 2020-11-11 Richard Creswell , Ben Lambert , Chon Lok Lei , Martin Robinson , David Gavaghan

Prescribed-time algorithms based on time-varying gains may have remarkable properties, such as regulation in a user-prescribed finite time that is the same for every nonzero initial condition and that holds even under matched disturbances.…

系统与控制 · 电气工程与系统科学 2023-12-18 Rodrigo Aldana-López , Richard Seeber , Hernan Haimovich , David Gómez-Gutiérrez

Sensor calibration is an indispensable task in any networked cyberphysical system. In this paper, we consider a sensor network plagued with offset errors, measuring a rank-1 signal subspace, where each sensor collects measurements under a…

信号处理 · 电气工程与系统科学 2023-12-14 Raj Thilak Rajan

Due to the large dynamic ranges involved with separating the cosmological 21-cm signal from the Cosmic Dawn from galactic foregrounds, a well-calibrated instrument is essential to avoid biases from instrumental systematics. In this paper we…

Since its formulation by Hamaker et al., the radio interferometer measurement equation (RIME) has provided a rigorous mathematical basis for the development of novel calibration methods and techniques, including various approaches to the…

天体物理仪器与方法 · 物理学 2011-02-07 Oleg M. Smirnov