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Background treatment is crucial to extract physics from precision experiments. In this paper, we introduce a novel method to assign each event a signal probability. This could then be used to weight the event's contribution to the…

High Energy Physics - Experiment · Physics 2014-01-28 Yadi Wang , Beijiang Liu , Xiaoyan Shen , Ziping Zhang

State estimators are crucial components of anomaly detectors that are used to monitor cyber-physical systems. Many frequently-used state estimators are susceptible to model risk as they rely critically on the availability of an accurate…

Systems and Control · Electrical Eng. & Systems 2022-01-19 Venkatraman Renganathan , Benjamin J. Gravell , Justin Ruths , Tyler H. Summers

We explore the problem of inferring the graph Laplacian of a weighted, undirected network from snapshots of a single or multiple discrete-time consensus dynamics, subject to parameter uncertainty, taking place on the network. Specifically,…

Social and Information Networks · Computer Science 2020-05-08 Yu Zhu , Michael T. Schaub , Ali Jadbabaie , Santiago Segarra

We introduce a new predictive mechanism that operates in the presence of hidden confounding across distributionally diverse data sources while ensuring consistent estimation of causal parameters-despite their recognized suboptimality for…

Statistics Theory · Mathematics 2025-04-01 Carlos García Meixide , David Ríos Insua

In this note, an alternative for presenting the distribution of `significant' events in searches for new phenomena is described. The alternative is based on probability density functions used in the evaluation of the `significance' of an…

High Energy Physics - Experiment · Physics 2019-02-25 Nicholas Wardle

Spectral estimation (SE) aims to identify how the energy of a signal (e.g., a time series) is distributed across different frequencies. This can become particularly challenging when only partial and noisy observations of the signal are…

Machine Learning · Statistics 2019-01-15 Felipe Tobar

Static gamma-ray detector systems that are deployed outdoors for radiological monitoring purposes experience time- and spatially-varying natural backgrounds and encounters with man-made nuisance sources. In order to be sensitive to illicit…

Instrumentation and Detectors · Physics 2023-09-11 M. S. Bandstra , N. Abgrall , R. J. Cooper , D. Hellfeld , T. H. Y. Joshi , V. Negut , B. J. Quiter , M. Salathe , R. Sankaran , Y. Kim , S. Shahkarami

This article discusses the determination of asymmetries. We consider a sample of events consisting of a peak of signal events on top of some background events. Both signal and background have an unknown asymmetry, e.g. a spin or…

Data Analysis, Statistics and Probability · Physics 2009-05-20 Jörg Pretz , Jean-Marc Le Goff

Estimating and modelling the appearance of an object under outdoor illumination conditions is a complex process. Although there have been several studies on illumination estimation and relighting, very few of them focus on estimating the…

Computer Vision and Pattern Recognition · Computer Science 2021-05-17 Farhan Rahman Wasee , Alen Joy , Charalambos Poullis

Uncovering causal relationships is a fundamental problem across science and engineering. However, most existing causal discovery methods assume acyclicity and direct access to the system variables -- assumptions that fail to hold in many…

Machine Learning · Computer Science 2026-03-24 Muralikrishnna G. Sethuraman , Faramarz Fekri

We consider the standard Neyman-Pearson hypothesis test of a signal-plus-background hypothesis and background-only hypothesis in the presence of uncertainty on the background-only prediction. Surprisingly, this problem has not been…

Data Analysis, Statistics and Probability · Physics 2014-11-18 Kyle S. Cranmer

The unfolding problem in particle physics is to make inferences about the true particle spectrum based on smeared observations from a detector. This is an ill-posed inverse problem, where small changes in the smeared distribution can lead…

High Energy Physics - Experiment · Physics 2026-03-23 Huanbiao Zhu , Andrea Carlo Marini , Mikael Kuusela , Larry Wasserman

We investigate the vulnerability of computer-vision-based signal classifiers to adversarial perturbations of their inputs, where the signals and perturbations are subject to physical constraints. We consider a scenario in which a source and…

Machine Learning · Computer Science 2024-02-28 Robert L. Bassett , Austin Van Dellen , Anthony P. Austin

Sensor noise sources cause differences in the signal recorded across pixels in a single image and across multiple images. This paper presents a Bayesian approach to decomposing and characterizing the sensor noise sources involved in imaging…

We study a high-dimensional regression setting under the assumption of known covariate distribution. We aim at estimating the amount of explained variation in the response by the best linear function of the covariates (the signal level). In…

Statistics Theory · Mathematics 2022-05-12 Ilan Livne , David Azriel , Yair Goldberg

A central challenge in statistical inference is the presence of confounding variables that may distort observed associations between treatment and outcome. Conventional "causal" methods, grounded in assumptions such as ignorability, exclude…

Methodology · Statistics 2025-09-09 Ellis Scharfenaker , Duncan K. Foley

In many applications, the observations can be represented as a signal defined over the vertices of a graph. The analysis of such signals requires the extension of standard signal processing tools. In this work, first, we provide a class of…

Discrete Mathematics · Computer Science 2016-08-24 Mikhail Tsitsvero , Sergio Barbarossa , Paolo Di Lorenzo

A common problem in data analysis is that the functional form, as well as the parameter values, of the underlying model which should describe a dataset is not known a priori. In these cases some extra uncertainty must be assigned to the…

Data Analysis, Statistics and Probability · Physics 2015-05-20 P. D. Dauncey , M. Kenzie , N. Wardle , G. J. Davies

We derive a maximum a posteriori estimator for the linear observation model, where the signal and noise covariance matrices are both uncertain. The uncertainties are treated probabilistically by modeling the covariance matrices with prior…

Statistics Theory · Mathematics 2014-03-12 Dave Zachariah , Nafiseh Shariati , Mats Bengtsson , Magnus Jansson , Saikat Chatterjee

The problem of estimating an unknown force driving a linear oscillator is revisited. When using linear measurement, feedback is often cited as a mechanism to enhance bandwidth or sensitivity. We show that as long as the oscillator dynamics…

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