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Extreme learning machine (ELM) as a neural network algorithm has shown its good performance, such as fast speed, simple structure etc, but also, weak robustness is an unavoidable defect in original ELM for blended data. We present a new…

Machine Learning · Computer Science 2014-09-24 Bo Han , Bo He , Rui Nian , Mengmeng Ma , Shujing Zhang , Minghui Li , Amaury Lendasse

The Infinitesimal Jackknife is a general method for estimating variances of parametric models, and more recently also for some ensemble methods. In this paper we extend the Infinitesimal Jackknife to estimate the covariance between any two…

Machine Learning · Statistics 2022-09-02 Indrayudh Ghosal , Yunzhe Zhou , Giles Hooker

Linear mixed effects models are highly flexible in handling a broad range of data types and are therefore widely used in applications. A key part in the analysis of data is model selection, which often aims to choose a parsimonious model…

Methodology · Statistics 2013-06-12 Samuel Müller , J. L. Scealy , A. H. Welsh

When parameters are weakly identified, bounds on the parameters may provide a valuable source of information. Existing weak identification estimation and inference results are unable to combine weak identification with bounds. Within a…

Econometrics · Economics 2025-10-03 Gregory Fletcher Cox

This paper develops a consistent heteroskedasticity robust Lagrange Multiplier (LM) type specification test for semiparametric conditional mean models. Consistency is achieved by turning a conditional moment restriction into a growing…

Econometrics · Economics 2019-11-12 Ivan Korolev

In this paper, we consider the mixed and componentwise condition numbers for a linear function of the solution to the linear least squares problem with equality constrains (LSE). We derive the explicit expressions of the mixed and…

Numerical Analysis · Mathematics 2016-12-13 Huai-An Diao

Penalized likelihood models are widely used to simultaneously select variables and estimate model parameters. However, the existence of weak signals can lead to inaccurate variable selection, biased parameter estimation, and invalid…

Methodology · Statistics 2022-12-13 Yuexia Zhang , Peibei Shi , Zhongyi Zhu , Linbo Wang , Annie Qu

In this paper, we consider tests for ultrahigh-dimensional partially linear regression models. The presence of ultrahigh-dimensional nuisance covariates and unknown nuisance function makes the inference problem very challenging. We adopt…

Methodology · Statistics 2023-04-18 Hongwei Shi , Bowen Sun , Weichao Yang , Xu Guo

Linear mixed-effects models have increasingly replaced mixed-model analyses of variance for statistical inference in factorial psycholinguistic experiments. Although LMMs have many advantages over ANOVA, like ANOVAs, setting them up for…

Applications · Statistics 2017-02-14 Hannes Matuschek , Reinhold Kliegl , Shravan Vasishth , Harald Baayen , Douglas Bates

We establish analogs of sharp weighted weak-type bounds for $m$-sublinear operators satisfying sparse form domination, including multilinear Calder\'on-Zygmund singular integrals. Our results, which hold for general $\vec{p} \in…

Classical Analysis and ODEs · Mathematics 2024-07-23 Zoe Nieraeth , Cody B. Stockdale , Brandon Sweeting

This paper introduces a likelihood ratio (LR)-type test that possesses the robustness properties of \(C(\alpha)\)-type procedures in an extremum estimation setting. The test statistic is constructed by applying separate adjustments to the…

Econometrics · Economics 2025-10-21 Jean-Marie Dufour , Purevdorj Tuvaandorj

Pairwise comparison matrices are frequently applied in multi-criteria decision making. A weight vector is called efficient if no other weight vector is at least as good in approximating the elements of the pairwise comparison matrix, and…

Optimization and Control · Mathematics 2017-10-03 Sándor Bozóki , János Fülöp

Many important modeling tasks in linear regression, including variable selection (in which slopes of some predictors are set equal to zero) and simplified models based on sums or differences of predictors (in which slopes of those…

Methodology · Statistics 2020-09-22 Sen Tian , Clifford M. Hurvich , Jeffrey S. Simonoff

New tests are developed for two-way ANOVA models with heterogeneous error variances. The testing problems are considered for testing the significant interaction effects, simple effects, and treatment effects. The likelihood ratio tests…

Methodology · Statistics 2026-03-02 Anjana Mondal , Somesh Kumar

Various applications involve assigning discrete label values to a collection of objects based on some pairwise noisy data. Due to the discrete---and hence nonconvex---structure of the problem, computing the optimal assignment (e.g.~maximum…

Information Theory · Computer Science 2017-12-11 Yuxin Chen , Emmanuel Candes

In this paper, we consider the linear programming (LP) formulation for deep reinforcement learning. The number of the constraints depends on the size of state and action spaces, which makes the problem intractable in large or continuous…

Optimization and Control · Mathematics 2021-05-21 Yongfeng Li , Mingming Zhao , Weijie Chen , Zaiwen Wen

In this paper, we investigate alpha testing for high-dimensional linear factor pricing models. We propose a spatial sign-based max-type test to handle sparse alternative cases. Additionally, we prove that this test is asymptotically…

Methodology · Statistics 2024-09-17 Ping Zhao , Long Feng , Hongfei Wang , Zhaojun Wang

We address the problem of testing weak optimality of a given solution of a given interval linear program. The problem was recently wrongly stated to be polynomially solvable. We disprove it. We show that the problem is NP-hard in general.…

Optimization and Control · Mathematics 2025-10-08 Miroslav Rada , Milan Hladík , Elif Garajová

Convex combinations of i.i.d. random variables without a finite mean can behave in a strikingly different way from the finite-mean case: as the weight vector becomes more balanced, the resulting combination may become stochastically larger,…

Methodology · Statistics 2026-03-10 Tommaso Lando , Paulo Eduardo Oliveira

Linear combinations of multinomial probabilities, such as those resulting from contingency tables, are of use when evaluating classification system performance. While large sample inference methods for these combinations exist, small sample…

Methodology · Statistics 2021-04-20 Katherine A. Batterton , Christine M. Schubert , Richard L. Warr
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