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Measurements of the gravitational constant $G$ are notoriously difficult. Individual state-of-the-art experiments have managed to determine the value of $G$ with high precision: although, when considered collectively, the range in the…

广义相对论与量子宇宙学 · 物理学 2023-09-26 Stefano Rinaldi , Hannah Middleton , Walter Del Pozzo , Jonathan Gair

Planetary ephemerides are a very powerful tool to constrain deviations from the theory of General Relativity using orbital dynamics. The effective field theory framework called the Standard-Model Extension (SME) has been developed in order…

The sequential multiple testing problem is considered under two generalized error metrics. Under the first one, the probability of at least $k$ mistakes, of any kind, is controlled. Under the second, the probabilities of at least $k_1$…

统计理论 · 数学 2019-02-18 Yanglei Song , Georgios Fellouris

In this paper we investigate the question of how much combined measurements can increase the accuracy of additive quantities. Therefore, we consider a set of measurements from a selection of all possible combinations of the $n$ labeled…

数据分析、统计与概率 · 物理学 2022-05-18 B. Mirbach , M. Boguslawski

We propose a method to overcome the usual limitation of current data processing techniques in optical and infrared long-baseline interferometry: most reduction pipelines assume uncorrelated statistical errors and ignore systematics. We use…

天体物理仪器与方法 · 物理学 2019-01-23 Régis Lachaume , Markus Rabus , Andrés Jordán , Rafael Brahm , Tabetha Boyajian , Kaspar von Braun , Jean-Philippe Berger

Direction dependent calibration of widefield radio interferometers estimates the systematic errors along multiple directions in the sky. This is necessary because with most systematic errors that are caused by effects such as the ionosphere…

天体物理仪器与方法 · 物理学 2021-12-22 Sarod Yatawatta

Asymmetric systematic errors arise when there is a non-linear dependence of a result on a nuisance parameter. Their combination is traditionally done by adding positive and negative deviations separately in quadrature. There is no sound…

数据分析、统计与概率 · 物理学 2007-05-23 Roger Barlow

Popular rotated detection methods usually use five parameters (coordinates of the central point, width, height, and rotation angle) to describe the rotated bounding box and l1-loss as the loss function. In this paper, we argue that the…

计算机视觉与模式识别 · 计算机科学 2019-12-23 Wen Qian , Xue Yang , Silong Peng , Yue Guo , Junchi Yan

The problem of simultaneous rigid alignment of multiple unordered point sets which is unbiased towards any of the inputs has recently attracted increasing interest, and several reliable methods have been newly proposed. While being…

计算机视觉与模式识别 · 计算机科学 2021-06-22 Vladislav Golyanik , Soshi Shimada , Christian Theobalt

The microlensing parallax campaign with the $Spitzer$ space telescope aims to measure masses and distances of microlensing events seen towards the Galactic bulge, with a focus on planetary microlensing events. The hope is to measure how the…

地球与行星天体物理 · 物理学 2020-09-30 Naoki Koshimoto , David P. Bennett

Models of complex dynamical systems like the Earth's climate often involve large numbers of uncertain parameters. Comprehensive exploration of the parameter space is typically prohibitive due to excessive computational costs. Systematic…

大气与海洋物理 · 物理学 2026-03-27 Daniel Pals , Sebastian Bathiany , Richard Wood , Joel Kuettel , Niklas Boers

High degrees of disagreement among annotators can exist for ambiguous objects, e.g. in medical images, underscoring the challenges of establishing ground truth annotations in object detection tasks. Despite this, all existing object…

计算机视觉与模式识别 · 计算机科学 2026-05-26 Zhi Qin Tan , Owen Addison , Yunpeng Li

To calculate the intercept of the multigluon system in a symmetric spatial configuration a variational method is developed based on a complete system of one-gluon functions. The method is applied to two- and three- gluon cases to compare…

高能物理 - 唯象学 · 物理学 2007-05-23 N. Armesto , M. A. Braun

We shed new light on the \textit{smoothness} of optimization problems arising in prediction error parameter estimation of linear and nonlinear systems. We show that for regions of the parameter space where the model is not contractive, the…

系统与控制 · 计算机科学 2020-08-10 Antônio H. Ribeiro , Koen Tiels , Jack Umenberger , Thomas B. Schön , Luis A. Aguirre

Post-approval safety surveillance of medical products using observational healthcare data can help identify safety issues beyond those found in pre-approval trials. When testing sequentially as data accrue, maximum sequential probability…

统计方法学 · 统计学 2022-07-07 Martijn J. Schuemie , Fan Bu , Akihiko Nishimura , Marc A. Suchard

State estimation that combines observational data with mathematical models is central to many applications and is commonly addressed through filtering methods, such as ensemble Kalman filters. In this article, we examine the signal-tracking…

数值分析 · 数学 2025-09-08 Nazanin Abedini , Jana de Wiljes , Svetlana Dubinkina

Data analysis methods have always been of critical importance for quantitative sciences. In astronomy, the increasing scale of current and future surveys is driving a trend towards a separation of the processes of low-level data reduction…

天体物理仪器与方法 · 物理学 2011-09-07 James Bosch

When measuring the value of a function to be minimized is not only expensive but also with noise, the popular simultaneous perturbation stochastic approximation (SPSA) algorithm requires only two function values in each iteration. In this…

最优化与控制 · 数学 2022-03-08 Shiru Li , Yong Xia , Zi Xu

Group sequential design (GSD) is widely used in clinical trials in which correlated tests of multiple hypotheses are used. Multiple primary objectives resulting in tests with known correlations include evaluating 1) multiple experimental…

统计方法学 · 统计学 2021-03-22 Keaven M. Anderson , Zifang Guo , Jing Zhao , Linda Z. Sun

Estimation techniques to precisely localize a kinematic platform with GNSS observables can be broadly partitioned into two categories: differential, or undifferenced. The differential techniques (e.g., real-time kinematic (RTK)) have…

机器人学 · 计算机科学 2018-08-01 Ryan M. Watson , Jason N. Gross