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Density Estimation is one of the central areas of statistics whose purpose is to estimate the probability density function underlying the observed data. It serves as a building block for many tasks in statistical inference, visualization,…

Machine Learning · Statistics 2019-04-02 Zhipeng Wang , David W. Scott

In a high-energy physics data analysis, the term "fake" backgrounds refers to events that would formally not satisfy the (signal) process selection criteria, but are accepted nonetheless due to mis-reconstructed particles. This can occur,…

High Energy Physics - Phenomenology · Physics 2026-01-29 Jan Gavranovič , Lara Čalić , Jernej Debevc , Else Lytken , Borut Paul Kerševan

We primarily study a special a weighted low-rank approximation of matrices and then apply it to solve the background modeling problem. We propose two algorithms for this purpose: one operates in the batch mode on the entire data and the…

Computer Vision and Pattern Recognition · Computer Science 2018-04-18 Aritra Dutta , Xin Li , Peter Richtarik

Models of a phenomenon are often developed by examining it under different experimental conditions, or measurement contexts. The resultant probabilistic models assume that the underlying random variables, which define a measurable set of…

Artificial Intelligence · Computer Science 2018-02-05 Peter D. Bruza

Anomaly detection relies on designing a score to determine whether a particular event is uncharacteristic of a given background distribution. One way to define a score is to use autoencoders, which rely on the ability to reconstruct certain…

High Energy Physics - Phenomenology · Physics 2022-03-30 Katherine Fraser , Samuel Homiller , Rashmish K. Mishra , Bryan Ostdiek , Matthew D. Schwartz

Bayesian field theory denotes a nonparametric Bayesian approach for learning functions from observational data. Based on the principles of Bayesian statistics, a particular Bayesian field theory is defined by combining two models: a…

Data Analysis, Statistics and Probability · Physics 2007-05-23 J. C. Lemm

Recent work on background subtraction has shown developments on two major fronts. In one, there has been increasing sophistication of probabilistic models, from mixtures of Gaussians at each pixel [7], to kernel density estimates at each…

Computer Vision and Pattern Recognition · Computer Science 2016-11-17 Manjunath Narayana , Allen Hanson , Erik Learned-Miller

Signal-background classification is a central problem in High-Energy Physics (HEP), that plays a major role for the discovery of new fundamental particles. A recent method -- the Parametric Neural Network (pNN) -- leverages multiple signal…

High Energy Physics - Experiment · Physics 2022-11-15 Luca Anzalone , Tommaso Diotalevi , Daniele Bonacorsi

Deep Metric Learning trains a neural network to map input images to a lower-dimensional embedding space such that similar images are closer together than dissimilar images. When used for item retrieval, a query image is embedded using the…

Computer Vision and Pattern Recognition · Computer Science 2022-10-05 Konstantin Kobs , Andreas Hotho

Data driven modelling is vital to many analyses at collider experiments, however the derived inference of physical properties becomes subject to details of the model fitting procedure. This work brings a principled Bayesian picture, based…

Data Analysis, Statistics and Probability · Physics 2023-05-23 David Yallup , Will Handley

Event datasets are sequences of events of various types occurring irregularly over the time-line, and they are increasingly prevalent in numerous domains. Existing work for modeling events using conditional intensities rely on either using…

Machine Learning · Computer Science 2020-02-25 Tian Gao , Dharmashankar Subramanian , Karthikeyan Shanmugam , Debarun Bhattacharjya , Nicholas Mattei

Nonlinear Mixed effects models are hidden variables models that are widely used in many fields such as pharmacometrics. In such models, the distribution characteristics of hidden variables can be specified by including several parameters…

Methodology · Statistics 2021-10-19 Edouard Ollier

Models phrased though moment conditions are central to much of modern inference. Here these moment conditions are embedded within a nonparametric Bayesian setup. Handling such a model is not probabilistically straightforward as the…

Methodology · Statistics 2016-01-14 Luke Bornn , Neil Shephard , Reza Solgi

Modern Bayesian optimization and adaptive sampling methods increasingly rely on nonlinear parametric models, yet theoretical guarantees for such models under adaptive data collection remain limited. Existing analyses largely focus on…

Machine Learning · Statistics 2026-05-14 Rafael Oliveira

The objective Bayesian treatment of a model representing two independent Poisson processes, labelled as "signal" and "background" and both contributing additively to the total number of counted events, is considered. It is shown that the…

Data Analysis, Statistics and Probability · Physics 2015-04-16 Diego Casadei

Cascades of Poisson processes are probabilistic models for spatio-temporal phenomena in which (i) previous events may trigger subsequent events, and (ii) both the background and triggering processes are conditionally Poisson. Such phenomena…

Applications · Statistics 2015-07-14 Chris. J. Oates

Graphs are ubiquitous in modelling relational structures. Recent endeavours in machine learning for graph-structured data have led to many architectures and learning algorithms. However, the graph used by these algorithms is often…

Machine Learning · Statistics 2020-06-25 Soumyasundar Pal , Saber Malekmohammadi , Florence Regol , Yingxue Zhang , Yishi Xu , Mark Coates

Datasets with hundreds of variables and many missing values are commonplace. In this setting, it is both statistically and computationally challenging to detect true predictive relationships between variables and also to suppress false…

Machine Learning · Statistics 2018-04-03 Feras Saad , Vikash Mansinghka

This paper introduces the kernel mixture network, a new method for nonparametric estimation of conditional probability densities using neural networks. We model arbitrarily complex conditional densities as linear combinations of a family of…

Machine Learning · Statistics 2017-05-22 Luca Ambrogioni , Umut Güçlü , Marcel A. J. van Gerven , Eric Maris

A major task in particle physics is the measurement of rare signal processes. Even modest improvements in background rejection, at a fixed signal efficiency, can significantly enhance the measurement sensitivity. Building on prior research…

High Energy Physics - Phenomenology · Physics 2025-07-30 Luc Builtjes , Sascha Caron , Polina Moskvitina , Clara Nellist , Roberto Ruiz de Austri , Rob Verheyen , Zhongyi Zhang