English
Related papers

Related papers: Bootstrapping the statistical uncertainties of NN …

200 papers

Employing the neural network framework, we obtain empirical fits to the electron-scattering cross sections for carbon over a broad kinematic region, extending from the quasielastic peak through resonance excitation to the onset of…

High Energy Physics - Phenomenology · Physics 2024-07-17 Beata E. Kowal , Krzysztof M. Graczyk , Artur M. Ankowski , Rwik Dharmapal Banerjee , Hemant Prasad , Jan T. Sobczyk

Although the operator (spectral) norm is one of the most widely used metrics for covariance estimation, comparatively little is known about the fluctuations of error in this norm. To be specific, let $\hat\Sigma$ denote the sample…

Statistics Theory · Mathematics 2019-09-16 Miles E. Lopes , N. Benjamin Erichson , Michael W. Mahoney

We present a comparison between Monte Carlo simulations and a semi-analytical approach that reproduces the theoretical probability distribution functions of the solar neutrino fluxes, stemming from the $pp$, $pep$, $hep$, $^7\mathrm{Be}$,…

Solar and Stellar Astrophysics · Physics 2018-08-29 Andreas Christ Sølvsten Jørgensen , Jørgen Christensen-Dalsgaard

This paper studies the impact of bootstrap procedure on the eigenvalue distributions of the sample covariance matrix under a high-dimensional factor structure. We provide asymptotic distributions for the top eigenvalues of bootstrapped…

Statistics Theory · Mathematics 2023-11-21 Long Yu , Peng Zhao , Wang Zhou

The bootstrap is a method for estimating the distribution of an estimator or test statistic by re-sampling the data or a model estimated from the data. Under conditions that hold in a wide variety of econometric applications, the bootstrap…

Econometrics · Economics 2018-09-12 Joel L. Horowitz

The recurrent neural network with the long short-term memory cell (LSTM-NN) is employed to simulate the long-time dynamics of open quantum system. The bootstrap method is applied in the LSTM-NN construction and prediction, which provides a…

Chemical Physics · Physics 2021-11-05 Kunni Lin , Jiawei Peng , Feng Long Gu , Zhenggang Lan

Using the delta-shell representation we present a successful fit to neutron-proton and proton-proton scattering data below pion production threshold. A detailed overview of the theory necessary to calculate observables with this potential…

Nuclear Theory · Physics 2013-12-16 R. Navarro Perez , J. E. Amaro , E. Ruiz Arriola

The bootstrap is a popular method of constructing confidence intervals due to its ease of use and broad applicability. Theoretical properties of bootstrap procedures have been established in a variety of settings. However, there is limited…

Statistics Theory · Mathematics 2024-04-19 Zhou Tang , Ted Westling

Understanding nuclear effects is essential for improving the sensitivity of neutrino oscillation measurements. Validating nuclear models solely through neutrino scattering data is challenging due to limited statistics and the broad energy…

High Energy Physics - Phenomenology · Physics 2025-02-25 Seisho Abe

There are some papers which describe the use of bootstrap techniques in point process statistics. The aim of the present paper is to show that the form in which bootstrap is used there is dubious. In case of variance estimation of pair…

Statistics Theory · Mathematics 2008-11-26 Martin Snethlage

Charged and neutral current low energy neutrino cross section predictions from a variety of Monte Carlo generators in present use are compared against existing experimental data. Comparisons are made to experimental data on quasi-elastic,…

High Energy Physics - Experiment · Physics 2007-05-23 G. P. Zeller

Safety evaluation of self-driving technologies has been extensively studied. One recent approach uses Monte Carlo based evaluation to estimate the occurrence probabilities of safety-critical events as safety measures. These Monte Carlo…

Methodology · Statistics 2019-07-19 Zhiyuan Huang , Mansur Arief , Henry Lam , Ding Zhao

We propose a novel approach to intranuclear cascades which takes as input quantum MonteCarlo nuclear configurations and uses a semi-classical, impact-parameter based algorithm to modelthe propagation of protons and neutrons in the nuclear…

High Energy Physics - Phenomenology · Physics 2021-02-03 Joshua Isaacson , William I. Jay , Alessandro Lovato , Pedro A. N. Machado , Noemi Rocco

Recently, novel numerical computation on quantum mechanics by using a bootstrap method was proposed by Han, Hartnoll, and Kruthoff. We consider whether this method works in systems with a $\theta$-term, where the standard Monte-Carlo…

High Energy Physics - Theory · Physics 2022-05-24 Yu Aikawa , Takeshi Morita , Kota Yoshimura

We propose a novel strategy to fit experimental data using a UV complete amplitude ansatz satisfying the constraints of Analyticity, Crossing, and Unitarity. We focus on $\pi\pi$ scattering combining both experimental and lattice data. The…

High Energy Physics - Theory · Physics 2024-11-25 Andrea Guerrieri , Kelian Häring , Ning Su

The robust rank-order test (Fligner and Policello, 1981) was designed as an improvement of the non-parametric Wilcoxon-Mann-Whitney U-test to be more appropriate when the samples being compared have unequal variance. However, it tends to be…

Methodology · Statistics 2020-09-08 Nirvik Sinha

In this paper we investigate how the bootstrap can be applied to time series regressions when the volatility of the innovations is random and non-stationary. The volatility of many economic and financial time series displays persistent…

Econometrics · Economics 2021-01-12 H. Peter Boswijk , Giuseppe Cavaliere , Anders Rahbek , Iliyan Georgiev

Multiple systems estimation using a Poisson loglinear model is a standard approach to quantifying hidden populations where data sources are based on lists of known cases. Information criteria are often used for selecting between the large…

Methodology · Statistics 2023-11-23 Bernard W. Silverman , Lax Chan , Kyle Vincent

We present a new statistical tool based on random sampling to assess the confidence interval of Pearson's and Spearman's correlation coefficients. These estimators are then used to quantify the statistical correlations among the neutron…

Nuclear Theory · Physics 2018-07-10 D. Muir , A. Pastore , J. Dobaczewski , C. Barton

Bootstrap for nonlinear statistics like U-statistics of dependent data has been studied by several authors. This is typically done by producing a bootstrap version of the sample and plugging it into the statistic. We suggest an alternative…

Statistics Theory · Mathematics 2015-05-28 Olimjon Sh. Sharipov , Johannes Tewes , Martin Wendler