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We show how to obtain a Bayesian estimate of the rates or numbers of signal and background events from a set of events when the shapes of the signal and background distributions are known, can be estimated, or approximated; our method works…

Instrumentation and Methods for Astrophysics · Physics 2015-06-15 Will M. Farr , Jonathan R. Gair , Ilya Mandel , Curt Cutler

We propose a new test statistic based on a score process for determining the statistical significance of a putative signal that may be a small perturbation to a noisy experimental background. We derive the reference distribution for this…

Data Analysis, Statistics and Probability · Physics 2007-05-23 Ramani S. Pilla , Catherine Loader , Cyrus Taylor

The sensitivities revealed by a sensitivity analysis of a probabilistic network typically depend on the entered evidence. For a real-life network therefore, the analysis is performed a number of times, with different evidence. Although…

Artificial Intelligence · Computer Science 2012-07-19 Silja Renooij , Linda C. van der Gaag

Reconciliation of frequentist and Bayesian approaches to elementary treatment of data in nuclear and particle physics is attempted. Unique procedure to express the significance of a small count in presence of background is henceforth…

Data Analysis, Statistics and Probability · Physics 2007-05-23 Ivan V. Anicin

Sound Event Early Detection (SEED) is an essential task in recognizing the acoustic environments and soundscapes. However, most of the existing methods focus on the offline sound event detection, which suffers from the over-confidence issue…

Sound · Computer Science 2022-02-15 Xujiang Zhao , Xuchao Zhang , Wei Cheng , Wenchao Yu , Yuncong Chen , Haifeng Chen , Feng Chen

A content-based image retrieval system based on multinomial relevance feedback is proposed. The system relies on an interactive search paradigm where at each round a user is presented with k images and selects the one closest to their ideal…

Information Retrieval · Computer Science 2016-04-01 Dorota Glowacka , Yee Whye Teh , John Shawe-Taylor

A common situation in experimental physics is to have a signal which can not be separated from a non-interfering background through the use of any cut. In this paper, we describe a procedure for determining, on an event-by-event basis, a…

Nuclear Experiment · Physics 2009-10-20 M. Williams , M. Bellis , C. A. Meyer

Probabilistic Latent Semantic Analysis is a novel statistical technique for the analysis of two-mode and co-occurrence data, which has applications in information retrieval and filtering, natural language processing, machine learning from…

Machine Learning · Computer Science 2013-01-30 Thomas Hofmann

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

In this paper the Bayesian analysis is applied to assign a probability density to the value of a quantity having a definite sign. This analysis is logically consistent with the results, positive or negative, of repeated measurements.…

Methodology · Statistics 2009-11-13 D Calonico , F Levi , L Lorini , G Mana

Query answering routinely employs knowledge graphs to assist the user in the search process. Given a knowledge graph that represents entities and relationships among them, one aims at complementing the search with intuitive but effective…

Databases · Computer Science 2018-02-13 Davide Mottin , Bastian Grasnick , Axel Kroschk , Patrick Siegler , Emmanuel Mueller

We construct a surrogate loss to directly optimise the significance metric used in particle physics. We evaluate our loss function for a simple event classification task using a linear model and show that it produces decision boundaries…

High Energy Physics - Phenomenology · Physics 2024-12-13 Jai Bardhan , Cyrin Neeraj , Subhadip Mitra , Tanumoy Mandal

This paper introduces a probability density estimator based on Green's function identities. A density model is constructed under the sole assumption that the probability density is differentiable. The method is implemented as a binary…

Machine Learning · Statistics 2012-08-22 Peter Kovesarki , Ian C. Brock , A. Elizabeth Nuncio Quiroz

Rare event simulation and rare event probability estimation are important tasks within the analysis of systems subject to uncertainty and randomness. Simultaneously, accurately estimating rare event probabilities is an inherently difficult…

Methodology · Statistics 2024-07-18 Max Ehre , Iason Papaioannou , Daniel Straub

Identifying the effects of causes and causes of effects is vital in virtually every scientific field. Often, however, the needed probabilities may not be fully identifiable from the data sources available. This paper shows how partial…

Artificial Intelligence · Computer Science 2023-01-31 Ang Li , Scott Mueller , Judea Pearl

This paper studies a method of a two dimensional background calculation for an analysis of events with two particles of the same type registered in experiments in high-energy physics. The standard two-dimensional integration is replaced by…

High Energy Physics - Experiment · Physics 2017-02-07 Valentin Kuzmin

Transfer entropy is a widely used measure for quantifying directed information flows in complex systems. While the challenges of estimating transfer entropy for continuous data are well known, it has two major shortcomings for data of…

Data Analysis, Statistics and Probability · Physics 2025-11-27 Alec Kirkley

The Cross Entropy method is a well-known adaptive importance sampling method for rare-event probability estimation, which requires estimating an optimal importance sampling density within a parametric class. In this article we estimate an…

Computation · Statistics 2013-10-15 Z. I. Botev , A. Ridder , L. Rojas-Nandayapa

The likelihood function represents statistical evidence in the context of data and a probability model. Considerable theory has demonstrated that evidence strength for different parameter values can be interpreted from the ratio of…

Applications · Statistics 2016-11-17 Zeynep Baskurt , Lisa Strug

This paper introduces a novel concept of interval probability measures that enables the representation of imprecise probabilities, or uncertainty, in a natural and coherent manner. Within an algebra of sets, we introduce a notion of weak…

Statistics Theory · Mathematics 2024-02-06 Marcello Basili , Luca Pratelli