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Positive predictive value and negative predictive value are two widely used parameters to assess the clinical usefulness of a medical diagnostic test. When there are two diagnostic tests, it is recommendable to make a comparative assessment…

统计方法学 · 统计学 2024-05-29 Antonio Martín Andrés , Pedro Femia Marzo

We propose that the phases of all vicinal surfaces can be characterized by four fixed lines, in the renormalization group sense, in a three-dimensional space of coupling constants. The observed configurations of several Si surfaces are…

统计力学 · 物理学 2009-10-31 Somendra M. Bhattacharjee , Sutapa Mukherji

In this paper, the estimation of parameters in the harmonic regression with cyclically dependent errors is addressed. Asymptotic properties of the least-squares estimates are analyzed by simulation experiments. By numerical simulation, we…

Penalized estimation principle is fundamental to high-dimensional problems. In the literature, it has been extensively and successfully applied to various models with only structural parameters. As a contrast, in this paper, we apply this…

统计理论 · 数学 2017-08-03 Jianqing Fan , Runlong Tang , Xiaofeng Shi

We suggest two metrics for assessing the quality of atomistic configurations of disordered materials, both of which are based on quantifying the orientational distribution of neighbours around each atom in the configuration. The first…

材料科学 · 物理学 2012-11-20 Matthew J. Cliffe , Andrew L. Goodwin

One of the best ways of spotting previously undetected systematic errors in CMB experiments is to compare two independent observations of the same region. We derive a set of tools for comparing and combining CMB data sets, applicable also…

天体物理学 · 物理学 2009-10-07 Max Tegmark

Standardness is a popular assumption in the literature on set estimation. It also appears in statistical approaches to topological data analysis, where it is common to assume that the data were sampled from a probability measure that…

统计理论 · 数学 2025-02-27 Alejandro Cholaquidis , Leonardo Moreno , Beatriz Pateiro-López

Crystal-structure match (CSM), the atom-to-atom correspondence between two crystalline phases, is used extensively to describe solid-solid phase transition (SSPT) mechanisms. However, existing computational methods cannot account for all…

材料科学 · 物理学 2025-06-06 Fang-Cheng Wang , Qi-Jun Ye , Yu-Cheng Zhu , Xin-Zheng Li

We present a coupled atomistic-continuum method for the modeling of defects and interface dynamics of crystalline materials. The method uses atomistic models such as molecular dynamics near defects and interfaces, and continuum models away…

材料科学 · 物理学 2009-11-07 Weinan E , Zhongyi Huang

Inspired by recent work on neural subspaces and mode connectivity, we revisit parameter subspace sampling for shifted and/or interpolatable input distributions (instead of a single, unshifted distribution). We enforce a compressed geometric…

机器学习 · 计算机科学 2022-05-23 Siddhartha Datta , Nigel Shadbolt

We propose a morphological multi-scale analysis of large-scale structures obtained by computer simulations and by observations. Structures are obtained at different scales by applying a wavelet transform on the observed and simulated data.…

天体物理学 · 物理学 2007-05-23 E. Lega , A. Bijaoui , J. -M. Alimi , H. Scholl

Local Fourier analysis is a strong and well-established tool for analyzing the convergence of numerical methods for partial differential equations. The key idea of local Fourier analysis is to represent the occurring functions in terms of a…

数值分析 · 数学 2015-03-12 Stefan Takacs

The prediction of material structure from chemical composition has been a long-standing challenge in natural science. Although there have been various methodological developments and successes with computer simulations, the prediction of…

材料科学 · 物理学 2018-05-23 Naoto Tsujimoto , Daiki Adachi , Ryosuke Akashi , Synge Todo , Shinji Tsuneyuki

Sequential Monte Carlo Samplers are a class of stochastic algorithms for Monte Carlo integral estimation w.r.t. probability distributions, which combine elements of Markov chain Monte Carlo methods and importance sampling/resampling…

概率论 · 数学 2007-05-23 Andreas Eberle , Carlo Marinelli

Naive Bayes Nearest Neighbour (NBNN) is a simple and effective framework which addresses many of the pitfalls of K-Nearest Neighbour (KNN) classification. It has yielded competitive results on several computer vision benchmarks. Its central…

机器学习 · 计算机科学 2016-07-12 Daniel Jiwoong Im , Graham W. Taylor

Self-organizing complex systems can be modeled using cellular automaton models. However, the parametrization of these models is crucial and significantly determines the resulting structural pattern. In this research, we introduce and…

元胞自动机与格子气 · 物理学 2025-01-14 Alexey Kazarnikov , Nadja Ray , Heikki Haario , Joona Lappalainen , Andreas Rupp

This paper presents an approach to reducing the number of fundamental parameters in the Standard Model (SM) using genetic programming, a machine learning technique based on evolutionary algorithms. We outline the core principles of our…

高能物理 - 唯象学 · 物理学 2025-09-10 S. V. Chekanov , H. Kjellerstrand

The homography matrix is a key component in various vision-based robotic tasks. Traditionally, homography estimation algorithms are classified into feature- or intensity-based. The main advantages of the latter are their versatility,…

计算机视觉与模式识别 · 计算机科学 2022-03-09 Lucas Nogueira , Ely C. de Paiva , Geraldo Silvera

Modern data analysis depends increasingly on estimating models via flexible high-dimensional or nonparametric machine learning methods, where the identification of structural parameters is often challenging and untestable. In linear…

统计理论 · 数学 2026-01-21 Andrii Babii , Jean-Pierre Florens

Crystallization is a key step in macromolecular structure determination by crystallography. While a robust theoretical treatment of the process is available, due to the complexity of the system, the experimental process is still largely one…

生物大分子 · 定量生物学 2016-08-02 Irem Altan , Patrick Charbonneau , Edward H. Snell