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We present a method for obtaining unbiased signal estimates in the presence of a significant unknown background, eliminating the need for a parametric model for the background itself. Our approach is based on a minimal set of conditions for…

Instrumentation and Methods for Astrophysics · Physics 2024-03-26 Johannes Diehl , Jakob Knollmüller , Oliver Schulz

Ptychography involves a sample being illuminated by a coherent, localised probe of illumination. When the probe interacts with the sample, the light is diffracted and a diffraction pattern is detected. Then the probe or sample is shifted…

Numerical Analysis · Mathematics 2023-05-09 Mark Philip Roach

Human bias is capable of changing the analysis of measured data sufficiently to alter the results of an experiment. It is incumbent upon modern experiments, especially those investigating quantities considered contentious in the broader…

Blind deconvolution problems are severely ill-posed because neither the underlying signal nor the forward operator are not known exactly. Conventionally, these problems are solved by alternating between estimation of the image and kernel…

Image and Video Processing · Electrical Eng. & Systems 2023-12-06 Yash Sanghvi , Yiheng Chi , Stanley H. Chan

We study the application of a Bayesian method to extract relevant information from data for the case of a signal consisting of two or more decaying particles and its background. The method takes advantage of the dependence that exists in…

High Energy Physics - Phenomenology · Physics 2023-06-06 Ezequiel Alvarez

Machine learning systems are often trained using data collected from historical decisions. If past decisions were biased, then automated systems that learn from historical data will also be biased. We propose a black-box approach to…

Machine Learning · Computer Science 2021-02-08 Sahil Verma , Michael Ernst , Rene Just

Searches for faint signals in counting experiments are often encountered in particle physics and astrophysics, as well as in other fields. Many problems can be reduced to the case of a model with independent and Poisson-distributed signal…

Data Analysis, Statistics and Probability · Physics 2017-02-14 Diego Casadei , Cornelius Grunwald , Kevin Kröninger , Florian Mentzel

A variety of techniques have been proposed to train machine learning classifiers that are independent of a given feature. While this can be an essential technique for enabling background estimation, it may also be useful for reducing…

High Energy Physics - Phenomenology · Physics 2022-02-09 Aishik Ghosh , Benjamin Nachman

A probabilistic technique for the joint estimation of background and sources with the aim of detecting faint and extended celestial objects is described. Bayesian probability theory is applied to gain insight into the coexistence of…

Instrumentation and Methods for Astrophysics · Physics 2015-05-13 F. Guglielmetti , R. Fischer , V. Dose

A method is presented for the reconstruction of both the background and signal in invariant-mass analyses for two-photon decays. The procedure does not make use of event mixing techniques and as such is based exclusively on an…

High Energy Physics - Phenomenology · Physics 2009-11-07 Nick van Eijndhoven , Wouter Wetzels

This study explores various data-driven methods for performing background-model selection, and for assigning uncertainty on the signal-strength estimator that arises due to the choice of background model. The performance of these methods is…

High Energy Physics - Experiment · Physics 2018-06-19 Mike Williams

The model representing two independent Poisson processes, labelled as "signal" and "background" and both contributing at the same time to the total number of counted events, is considered from a Bayesian point of view. This is a widely used…

Data Analysis, Statistics and Probability · Physics 2012-01-16 Diego Casadei

We present a new approach that bridges binary analysis techniques with machine learning classification for the purpose of providing a static and generic evaluation technique for opaque predicates, regardless of their constructions. We use…

Cryptography and Security · Computer Science 2019-09-05 Ramtine Tofighi-Shirazi , Irina Asăvoae , Philippe Elbaz-Vincent , Thanh-Ha Le

Feature visualization is used to visualize learned features for black box machine learning models. Our approach explores an altered training process to improve interpretability of the visualizations. We argue that by using background…

Computer Vision and Pattern Recognition · Computer Science 2023-06-26 Ian E. Nielsen , Erik Grundeland , Joseph Snedeker , Ghulam Rasool , Ravi P. Ramachandran

Data assimilation performance can be significantly impacted by biased noise in observations, altering the signal magnitude and introducing fast oscillations or discontinuities when the system lacks smoothness. To mitigate these issues, this…

Numerical Analysis · Mathematics 2024-11-05 Felipe Galarce , Joaquin Mura , Alfonso Caiazzo

Background modelling is one of the main challenges in particle physics data analysis. Commonly employed strategies include the use of simulated events of the background processes, and the fitting of parametric background models to the…

High Energy Physics - Experiment · Physics 2022-10-19 A. Chisholm , T. Neep , K. Nikolopoulos , R. Owen , E. Reynolds , J. Silva

We study utilizing auxiliary information in training data to improve the trustworthiness of machine learning models. Specifically, in the context of image classification, we propose to optimize a training objective that incorporates…

Computer Vision and Pattern Recognition · Computer Science 2021-08-24 Dharma KC , Chicheng Zhang

CNNs have become one of the most commonly used computational tool in the past two decades. One of the primary downsides of CNNs is that they work as a ``black box", where the user cannot necessarily know how the image data are analyzed, and…

Computer Vision and Pattern Recognition · Computer Science 2024-12-18 Sai Teja Erukude , Akhil Joshi , Lior Shamir

A Bayesian analysis of the probability of a signal in the presence of background is developed, and criteria are proposed for claiming evidence for, or the discovery of a signal. The method is general and in particular applicable to sparsely…

Data Analysis, Statistics and Probability · Physics 2009-11-13 Allen Caldwell , Kevin Kröninger

Blind deconvolution over graphs involves using (observed) output graph signals to obtain both the inputs (sources) as well as the filter that drives (models) the graph diffusion process. This is an ill-posed problem that requires additional…

Signal Processing · Electrical Eng. & Systems 2023-09-19 Victor M. Tenorio , Samuel Rey , Antonio G. Marques
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