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We derive formulas which connect cumulants of particle numbers observed with efficiency losses with the original ones based on the binomial model. These formulas can describe the case with multiple efficiencies in a compact form. Compared…

核理论 · 物理学 2016-04-27 Masakiyo Kitazawa

We derive the general analytical expressions for the statistical uncertainties of cumulants up to fourth order including an efficiency correction. The analytical expressions have been tested with a toy Monte Carlo model analysis. An…

核理论 · 物理学 2022-03-25 Fan Si , Yifei Zhang

In this note we extend previous work on efficiency corrections for cumulant measurements [1,2]. We will discuss the limitations of the methods presented in these papers. Specifically we will consider multiplicity dependent efficiencies as…

核理论 · 物理学 2016-12-28 Adam Bzdak , Romain Holzmann , Volker Koch

In this note we discuss subtleties associated with the efficiency corrections for measurements of off-diagonal cumulants and factorial moments for a situation when one deals with overlapping sets of particles, such as correlations between…

核理论 · 物理学 2021-03-18 Volodymyr Vovchenko , Volker Koch

Imputation models sometimes use auxiliary variables that, though not part of the planned analysis, can improve the accuracy of imputed values and the efficiency of point estimates. A recent article, using evidence from simulations, argued…

统计方法学 · 统计学 2013-11-22 Paul von Hippel , Jamie Lynch

We derive analytic formulas to reconstruct particle-averaged quantities from experimental results that suffer from the efficiency loss of particle measurements. These formulas are derived under the assumption that the probabilities of…

数据分析、统计与概率 · 物理学 2025-10-17 Masakiyo Kitazawa , ShinIchi Esumi , Takafumi Niida , Toshihiro Nonaka

The era of huge data necessitates highly efficient machine learning algorithms. Many common machine learning algorithms, however, rely on computationally intensive subroutines that are prohibitively expensive on large datasets. Oftentimes,…

机器学习 · 计算机科学 2023-09-26 Mo Tiwari

Composition methodologies in the current literature are mainly to promote estimation efficiency via direct composition, either, of initial estimators or of objective functions. In this paper, composite estimation is investigated for both…

统计方法学 · 统计学 2013-12-31 Lu Lin , Feng Li , Kangning Wang , Lixing Zhu

We propose a purity correction to subtract effects of combinatorial backgrounds from cumulants of hyperon number distributions. We argue that cumulants and mix-cumulants of sidebands, whose yield is comparable with that of background…

高能物理 - 唯象学 · 物理学 2022-07-27 Toshihiro Nonaka

There exists a wide variety of efficiency methods for natural language processing (NLP) tasks, such as pruning, distillation, dynamic inference, quantization, etc. We can consider an efficiency method as an operator applied on a model.…

计算与语言 · 计算机科学 2022-08-02 Ji Xin , Raphael Tang , Zhiying Jiang , Yaoliang Yu , Jimmy Lin

Randomized controlled trials generate experimental variation that can credibly identify causal effects, but often suffer from limited scale, while observational datasets are large, but often violate desired identification assumptions. To…

计量经济学 · 经济学 2023-12-27 George Z. Gui

This paper develops new combinatorial approaches to analyze and compute special set partitions, called complementary set partitions, which are fundamental in the study of generalized cumulants. Moving away from traditional graph-based and…

统计理论 · 数学 2025-05-20 Elvira Di Nardo , Giuseppe Guarino

In this paper we investigate the question of how much combined measurements can increase the accuracy of additive quantities. Therefore, we consider a set of measurements from a selection of all possible combinations of the $n$ labeled…

数据分析、统计与概率 · 物理学 2022-05-18 B. Mirbach , M. Boguslawski

There has been increasing interest in recent years in the development of approaches to estimate causal effects when the number of potential confounders is prohibitively large. This growth in interest has led to a number of potential…

统计方法学 · 统计学 2020-02-05 Joseph Antonelli , Matthew Cefalu

In the analysis of large/big data sets, aggregation (replacing values of a variable over a group by a single value) is a standard way of reducing the size (complexity) of the data. Data analysis programs provide different aggregation…

机器学习 · 计算机科学 2023-03-29 Vladimir Batagelj

Several researchers have experimentally shown that substantial improvements can be obtained in difficult pattern recognition problems by combining or integrating the outputs of multiple classifiers. This chapter provides an analytical…

神经与进化计算 · 计算机科学 2007-05-23 Kagan Tumer , Joydeep Ghosh

We provide a unified description of efficiency correction and error estimation for moments of conserved quantifies in heavy-ion collisions. Moments and cumulants are expressed in terms of the factorial moments, which can be easily corrected…

数据分析、统计与概率 · 物理学 2017-10-18 Xiaofeng Luo

Many decision problems cannot be solved exactly and use several estimation algorithms that assign scores to the different available options. The estimation errors can have various correlations, from low (e.g. between two very different…

机器学习 · 计算机科学 2023-09-06 Theo Delemazure , François Durand , Fabien Mathieu

Given the continuous increase in dataset sizes and the complexity of forecasting models, the trade-off between forecast accuracy and computational cost is emerging as an extremely relevant topic, especially in the context of ensemble…

机器学习 · 计算机科学 2025-07-10 Marco Zanotti

Ensembling is a simple and popular technique for boosting evaluation performance by training multiple models (e.g., with different initializations) and aggregating their predictions. This approach is commonly reserved for the largest…

机器学习 · 计算机科学 2020-05-05 Dan Kondratyuk , Mingxing Tan , Matthew Brown , Boqing Gong
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