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In this work we propose an adaptive multilevel version of subset simulation to estimate the probability of rare events for complex physical systems. Given a sequence of nested failure domains of increasing size, the rare event probability…

Numerical Analysis · Mathematics 2023-12-13 Daniel Elfverson , Robert Scheichl , Simon Weissmann , F. Alejandro DiazDelaO

Regression plays a key role in many research areas and its variable selection is a classic and major problem. This study emphasizes cost of predictors to be purchased for future use, when we select a subset of them. Its economic aspect is…

Methodology · Statistics 2021-03-19 Steven N. MacEachern , Koji Miyawaki

Neural networks are becoming an increasingly important tool in applications. However, neural networks are not widely used in statistical genetics. In this paper, we propose a new neural networks method called expectile neural networks. When…

Statistics Theory · Mathematics 2020-11-04 Jinghang Lin , Xiaoxi Shen , Qing Lu

Bayesian neural networks (BNNs) have recently regained a significant amount of attention in the deep learning community due to the development of scalable approximate Bayesian inference techniques. There are several advantages of using a…

Machine Learning · Statistics 2023-05-02 Aliaksandr Hubin , Geir Storvik

We consider open domain event extraction, the task of extracting unconstraint types of events from news clusters. A novel latent variable neural model is constructed, which is scalable to very large corpus. A dataset is collected and…

Computation and Language · Computer Science 2022-12-19 Xiao Liu , Heyan Huang , Yue Zhang

Incorporating feature selection into a classification or regression method often carries a number of advantages. In this paper we formalize feature selection specifically from a discriminative perspective of improving…

Machine Learning · Computer Science 2013-01-18 Tony S. Jebara , Tommi S. Jaakkola

In many application areas, predictive models are used to support or make important decisions. There is increasing awareness that these models may contain spurious or otherwise undesirable correlations. Such correlations may arise from a…

Applications · Statistics 2021-09-21 Emanuele Aliverti , Kristian Lum , James E. Johndrow , David B. Dunson

For many important problems the quantity of interest is an unknown function of the parameters, which is a random vector with known statistics. Since the dependence of the output on this random vector is unknown, the challenge is to identify…

Machine Learning · Statistics 2021-04-28 Themistoklis P. Sapsis

This paper provides a systematic approach to semiparametric identification that is based on statistical information as a measure of its "quality". Identification can be regular or irregular, depending on whether the Fisher information for…

Statistics Theory · Mathematics 2021-07-01 Juan Carlos Escanciano

In Data Science, entities are typically represented by single valued measurements. Symbolic Data Analysis extends this framework to more complex structures, such as intervals and histograms, that express internal variability. We propose an…

Machine Learning · Statistics 2025-12-16 Diogo Pinheiro , M. Rosário Oliveira , Igor Kravchenko , Lina Oliveira

We consider Bayesian model selection in generalized linear models that are high-dimensional, with the number of covariates p being large relative to the sample size n, but sparse in that the number of active covariates is small compared to…

Statistics Theory · Mathematics 2011-12-26 Rina Foygel , Mathias Drton

Deep neural networks have achieved impressive results on a wide variety of tasks. However, quantifying uncertainty in the network's output is a challenging task. Bayesian models offer a mathematical framework to reason about model…

Machine Learning · Computer Science 2019-05-28 Manikanta Srikar Yellapragada , Chandra Prakash Konkimalla

Traditionally model averaging has been viewed as an alternative to model selection with the ultimate goal to incorporate the uncertainty associated with the model selection process in standard errors and confidence intervals by using a…

Methodology · Statistics 2021-03-05 Michael Schomaker , Christian Heumann

We introduce Fisher consistency in the sense of unbiasedness as a desirable property for estimators of class prior probabilities. Lack of Fisher consistency could be used as a criterion to dismiss estimators that are unlikely to deliver…

Machine Learning · Statistics 2019-07-23 Dirk Tasche

In this paper we propose a heterogeneous modeling framework which achieves individual-wise feature selection and individualized covariates' effects subgrouping simultaneously. In contrast to conventional model selection approaches, the new…

Methodology · Statistics 2019-06-11 Xiwei Tang , Fei Xue , Annie Qu

In this article, we develop a distributed variable screening method for generalized linear models. This method is designed to handle situations where both the sample size and the number of covariates are large. Specifically, the proposed…

Methodology · Statistics 2024-05-09 Tianbo Diao , Lianqiang Qu , Bo Li , Liuquan Sun

In [Lavielle and Ludena 07], a random thresholding metho d is intro duced to select the significant, or non null, mean terms among a collection of independent random variables, and applied to the problem of recovering the significant…

Methodology · Statistics 2010-10-27 Merlin Keller , Marc Lavielle

We consider a method of pairwise variations for smooth optimization problems, which involve polyhedral constraints. It consists in making steps with respect to the difference of two selected extreme points of the feasible set together with…

Optimization and Control · Mathematics 2017-01-12 I. V. Konnov

As a growing number of problems involve variables that are random objects, the development of models for such data has become increasingly important. This paper introduces a novel varying-coefficient Fr\'echet regression model that extends…

Methodology · Statistics 2025-09-16 Yanzhao Wang , Jianqiang Zhang , Wangli Xu

Independence screening methods such as the two sample $t$-test and the marginal correlation based ranking are among the most widely used techniques for variable selection in ultrahigh dimensional data sets. In this short note, simple…

Methodology · Statistics 2020-11-17 Run Wang , Somak Dutta , Vivekananda Roy
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