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Searches for signals of new physics in particle physics are usually done by training a supervised classifier to separate a signal model from the known Standard Model physics (also called the background model). However, even when the signal…

Applications · Statistics 2025-11-04 Purvasha Chakravarti , Lucas Kania , Olaf Behnke , Mikael Kuusela , Larry Wasserman

A framework is developed using techniques from rate distortion theory in statistical testing. The idea is first to do optimal compression according to a certain distortion function and then use information divergence from the compressed…

Information Theory · Computer Science 2009-04-01 Peter Harremoes

The paper presents a new statistical method that enables the use of systematic errors in the maximum-likelihood regression of integer-count Poisson data to a parametric model. The method is primarily aimed at the characterization of the…

Instrumentation and Methods for Astrophysics · Physics 2024-07-18 Max Bonamente , Yang Chen , Dale Zimmerman

Skewness is a common occurrence in statistical applications. In recent years, various distribution families have been proposed to model skewed data by introducing unequal scales based on the median or mode. However, we argue that the point…

Methodology · Statistics 2024-01-10 Yiyuan She , Xiaoqiang Wu , Lizhu Tao , Debajyoti Sinha

It is well known that the minimax rates of convergence of nonparametric density and regression function estimation of a random variable measured with error is much slower than the rate in the error free case. Surprisingly, we show that if…

Statistics Theory · Mathematics 2019-08-21 Fei Jiang , Yanyuan Ma , Raymond J. Carroll

This paper presents a nonparametric scene parsing approach that improves the overall accuracy, as well as the coverage of foreground classes in scene images. We first improve the label likelihood estimates at superpixels by merging…

Computer Vision and Pattern Recognition · Computer Science 2015-10-27 Marian George

In this paper, we present a method of maximum a posteriori estimation of parameters in dynamic factor models with incomplete data. We extend maximum likelihood expectation maximization iterations by Ba\'nbura & Modugno (2014) to penalized…

Methodology · Statistics 2022-10-14 Erik Spånberg

The determination of galaxy merger fraction of field galaxies using automatic morphological indices and photometric redshifts is affected by several biases if observational errors are not properly treated. Here, we correct these biases…

Astrophysics · Physics 2009-11-13 C. López-Sanjuan , C. E. García-Dabó , M. Balcells

For submillimeter spectroscopy with ground-based single-dish telescopes, removing noise contribution from the Earth's atmosphere and the instrument is essential. For this purpose, here we propose a new method based on a data-scientific…

Instrumentation and Methods for Astrophysics · Physics 2021-08-20 Akio Taniguchi , Yoichi Tamura , Shiro Ikeda , Tatsuya Takekoshi , Ryohei Kawabe

The last decade has seen max-stable processes emerge as a common tool for the statistical modeling of spatial extremes. However, their application is complicated due to the unavailability of the multivariate density function, and so…

Methodology · Statistics 2009-02-23 Simone A. Padoan , Mathieu Ribatet , Scott A. Sisson

While geostrophy remains the simplest and most practical balance to extract velocity information from sea-surface height anomaly (SSHa), confusions remain within the oceanographic community to what extent this balance can be applied to…

Atmospheric and Oceanic Physics · Physics 2026-01-27 Takaya Uchida , Badarvada Yadidya , Vadim Bertrand , Jia-Xian Chang , Brian Arbic , Jay Shriver , Julien Le Sommer

Histograms are convenient non-parametric density estimators, which continue to be used ubiquitously. Summary quantities estimated from histogram-based probability density models depend on the choice of the number of bins. We introduce a…

Data Analysis, Statistics and Probability · Physics 2013-09-17 Kevin H. Knuth

Motion artifacts can compromise the diagnostic value of computed tomography (CT) images. Motion correction approaches require a per-scan estimation of patient-specific motion patterns. In this work, we train a score-based model to act as a…

Computer Vision and Pattern Recognition · Computer Science 2024-04-24 Mareike Thies , Noah Maul , Siyuan Mei , Laura Pfaff , Nastassia Vysotskaya , Mingxuan Gu , Jonas Utz , Dennis Possart , Lukas Folle , Fabian Wagner , Andreas Maier

Search-Based Software Testing (SBST) automates test input generation but is frequently hindered by challenging fitness landscapes characterized by numerous deceptive local optima that impede search progress, as well as extended plateaus…

Software Engineering · Computer Science 2026-04-13 Jeongjin Han , Seunghoon Sim , Jian Lee , Seongyoon Park

We investigate the feature compression of high-dimensional ridge regression using the optimal subsampling technique. Specifically, based on the basic framework of random sampling algorithm on feature for ridge regression and the A-optimal…

Computation · Statistics 2022-04-19 Hanyu Li , Chengmei Niu

Likelihood analysis is typically limited to normally distributed noise due to the difficulty of determining the probability density function of complex, high-dimensional, non-Gaussian, and anisotropic noise. This is a major limitation for…

Instrumentation and Methods for Astrophysics · Physics 2023-06-14 Ronan Legin , Alexandre Adam , Yashar Hezaveh , Laurence Perreault Levasseur

Subsampling is a computationally effective approach to extract information from massive data sets when computing resources are limited. After a subsample is taken from the full data, most available methods use an inverse probability…

Statistics Theory · Mathematics 2022-10-11 HaiYing Wang , Jae Kwang Kim

We revisit the problem of the existence of the maximum likelihood estimate for multi-class logistic regression. We show that one method of ensuring its existence is by assigning positive probability to every class in the sample dataset. The…

Machine Learning · Computer Science 2024-05-09 Dwight Nwaigwe , Marek Rychlik

We consider the weighted least squares spline approximation of a noisy dataset. By interpreting the weights as a probability distribution, we maximize the associated entropy subject to the constraint that the mean squared error is…

Numerical Analysis · Mathematics 2024-01-19 Luigi Brugnano , Domenico Giordano , Felice Iavernaro , Giorgia Rubino

Strong gravitational lensing provides a wealth of astrophysical information on the baryonic and dark matter content of galaxies. It also serves as a valuable cosmological probe by allowing us to measure the Hubble constant independently of…

Astrophysics of Galaxies · Physics 2021-03-31 A. Galan , A. Peel , R. Joseph , F. Courbin , J. -L. Starck