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Searches for new astrophysical phenomena often involve several sources of non-random uncertainties which can lead to highly misleading results. Among these, model-uncertainty arising from background mismodelling can dramatically compromise…

Data Analysis, Statistics and Probability · Physics 2020-01-15 Sara Algeri

We consider nonparametric sequential hypothesis testing problem when the distribution under the null hypothesis is fully known but the alternate hypothesis corresponds to some other unknown distribution with some loose constraints. We…

Information Theory · Computer Science 2013-11-15 Shouvik Ganguly , K Sahasranand , Vinod Sharma

We develop a novel method for detection of signals and reconstruction of images in the presence of random noise. The method uses results from percolation theory. We specifically address the problem of detection of multiple objects of…

Applications · Statistics 2013-12-02 Mikhail Langovoy , Michael Habeck , Bernhard Schölkopf

We describe a method for fitting distributions to data which only requires knowledge of the parametric form of either the signal or the background but not both. The unknown distribution is fit using a non-parametric kernel density…

Data Analysis, Statistics and Probability · Physics 2015-06-03 Wolfgang A. Rolke , Angel M. López

The problem of detecting new signals in the presence of an unknown background is ubiquitous in scientific discoveries and is especially prominent in the physical sciences. Most solutions proposed thus far to address the problem focus on…

Methodology · Statistics 2026-05-21 Aritra Banerjee , Sara Algeri

Anomaly detectors address the difficult problem of detecting automatically exceptions in an arbitrary background image. Detection methods have been proposed by the thousands because each problem requires a different background model. By…

Computer Vision and Pattern Recognition · Computer Science 2019-04-26 Axel Davy , Thibaud Ehret , Jean-Michel Morel , Mauricio Delbracio

When searching for exoplanets, one wants to count how many planets orbit a given star, and to determine what their characteristics are. If the estimated planet characteristics are too far from those of a planet truly present, this should be…

Instrumentation and Methods for Astrophysics · Physics 2025-03-25 Nathan C. Hara , Thibault de Poyferré , Jean-Baptiste Delisle , Marc Hoffmann

We consider the quickest change detection problem where both the parameters of pre- and post- change distributions are unknown, which prevents the use of classical simple hypothesis testing. Without additional assumptions, optimal solutions…

Machine Learning · Computer Science 2021-06-10 Firas Jarboui , Viannet Perchet

We propose a novel statistical hypothesis testing method for detection of objects in noisy images. The method uses results from percolation theory and random graph theory. We present an algorithm that allows to detect objects of unknown…

Statistics Theory · Mathematics 2013-12-02 Mikhail A. Langovoy , Olaf Wittich

The work presented here attempts at answering the question: how do we decide when a given adetection is a planet or just residual noise in exoplanet direct imaging data? To this end we present a method implemented within a Bayesian…

Earth and Planetary Astrophysics · Physics 2019-12-04 Jacob Golomb , Graça Rocha , Tiffany Meshkat , Michael Bottom , Dimitri Mawet , Bertrand Mennesson , Gautam Vasisht , Jason Wang

The detection of exoplanets in high-contrast imaging (HCI) data hinges on post-processing methods to remove spurious light from the host star. So far, existing methods for this task hardly utilize any of the available domain knowledge about…

Instrumentation and Methods for Astrophysics · Physics 2020-12-10 Timothy D. Gebhard , Markus J. Bonse , Sascha P. Quanz , Bernhard Schölkopf

This paper examines signal detection in the presence of noise, with a particular emphasis to the nuclear activation analysis. The problem is to decide what between the signal-plus-background and no-signal hypotheses fits better the data and…

Data Analysis, Statistics and Probability · Physics 2013-01-09 Luigi Bergamaschi , Giancarlo D'Agostino , Laura Giordani , Giovanni Mana , Massimo Oddone

Indirect searches for products of dark matter annihilation and decay face the challenge of identifying an uncertain and subdominant signal in the presence of uncertain backgrounds. Two valuable approaches to this problem are (1) using…

High Energy Astrophysical Phenomena · Physics 2015-12-16 Jennifer M. Siegal-Gaskins

Complete anomaly detection strategies that are both signal sensitive and compatible with background estimation have largely focused on resonant signals. Non-resonant new physics scenarios are relatively under-explored and may arise from…

High Energy Physics - Phenomenology · Physics 2024-05-08 Kehang Bai , Radha Mastandrea , Benjamin Nachman

The method of location and spectral estimation of weak signals on a noise background is being considered. The method is based on the optimized on order and noise dispersion autoregressive model of a sought signal. A new approach of model…

Computational Engineering, Finance, and Science · Computer Science 2007-07-03 Yu. Bunyak , O. Bunyak

Out-of-distribution detection seeks to identify novelties, samples that deviate from the norm. The task has been found to be quite challenging, particularly in the case where the normal data distribution consists of multiple semantic…

Computer Vision and Pattern Recognition · Computer Science 2022-09-23 Niv Cohen , Ron Abutbul , Yedid Hoshen

In this paper, we consider the problem of detecting signals in multiple, sequentially observed data streams. For each stream, the exact distribution is unknown, but characterized by a parameter that takes values in either of two disjoint…

Methodology · Statistics 2025-07-30 Yiming Xing , Anamitra Chaudhuri , Yifan Chen

This paper considers the problem of testing whether there exists a solution satisfying certain non-negativity constraints to a linear system of equations. Importantly and in contrast to some prior work, we allow all parameters in the system…

We extend the use of Classification Without Labels for anomaly detection with a hypothesis test designed to exclude the background-only hypothesis. By testing for statistical independence of the two discriminating dataset regions, we are…

High Energy Physics - Phenomenology · Physics 2023-03-16 Jernej F. Kamenik , Manuel Szewc

Model-independent searches in particle physics aim at completing our knowledge of the universe by looking for new possible particles not predicted by the current theories. Such particles, referred to as signal, are expected to behave as a…

Applications · Statistics 2019-05-31 Alessandro Casa , Giovanna Menardi
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