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An posteriori error analysis for the virtual element method (VEM) applied to general elliptic problems is presented. The resulting error estimator is of residual-type and applies on very general polygonal/polyhedral meshes. The estimator is…

数值分析 · 数学 2017-04-26 Andrea Cangiani , Emmanuil H. Georgoulis , Tristan Pryer , Oliver J. Sutton

In transformation regression models the response is transformed before fitting a regression model to covariates and transformed response. We assume such a model where the errors are independent from the covariates and the regression…

统计理论 · 数学 2020-02-17 Nick Kloodt , Natalie Neumeyer , Ingrid Van Keilegom

Interpreting black-box machine learning models is challenging due to their strong dependence on data and inherently non-parametric nature. This paper reintroduces the concept of importance through "Marginal Variable Importance Metric"…

机器学习 · 统计学 2025-01-30 Mohammad Kaviul Anam Khan , Olli Saarela , Rafal Kustra

The best-performing approaches for scholarly document quality prediction are based on embedding models. In addition to their performance when used in classifiers, embedding models can also provide predictions even for words that were not…

计算与语言 · 计算机科学 2025-08-29 Lucie Dvorackova , Marcin P. Joachimiak , Michal Cerny , Adriana Kubecova , Vilem Sklenak , Tomas Kliegr

Estimating probabilistic deformable template models is a new approach in the fields of computer vision and probabilistic atlases in computational anatomy. A first coherent statistical framework modelling the variability as a hidden random…

统计计算 · 统计学 2009-01-16 Stéphanie Allassonnière , Estelle Kuhn

We propose and implement an approach to inference in linear instrumental variables models which is simultaneously robust and computationally tractable. Inference is based on self-normalization of sample moment conditions, and allows for…

计量经济学 · 经济学 2022-11-29 Eric Gautier , Christiern Rose

We present an hp-adaptive virtual element method (VEM) based on the hypercircle method of Prager and Synge for the approximation of solutions to diffusion problems. We introduce a reliable and efficient a posteriori error estimator, which…

数值分析 · 数学 2021-11-30 Franco Dassi , Joscha Gedicke , Lorenzo Mascotto

Machine learning models have exhibited exceptional results in various domains. The most prevalent approach for learning is the empirical risk minimizer (ERM), which adapts the model's weights to reduce the loss on a training set and…

机器学习 · 计算机科学 2024-12-11 Koby Bibas

We present two a posteriori error estimators for the virtual element method (VEM) based on global and local flux reconstruction in the spirit of [5]. The proposed error estimators are reliable and efficient for the $h$-, $p$-, and…

数值分析 · 数学 2025-03-14 F. Dassi , J. Gedicke , L. Mascotto

The Support Vector Machine (SVM) is one of the most widely used classification methods. In this paper, we consider the soft-margin SVM used on data points with independent features, where the sample size $n$ and the feature dimension $p$…

机器学习 · 统计学 2019-08-02 Haoyang Liu

Support vector machine (SVM) is a well-known statistical technique for classification problems in machine learning and other fields. An important question for SVM is the selection of covariates (or features) for the model. Many studies have…

统计方法学 · 统计学 2022-02-22 Jiahui Zou , Chaoxia Yuan , Xinyu Zhang , Guohua Zou , Alan T. K. Wan

We consider nonadaptive group testing where each item is placed in a constant number of tests. The tests are chosen uniformly at random with replacement, so the testing matrix has (almost) constant column weights. We show that performance…

信息论 · 计算机科学 2016-08-23 Matthew Aldridge , Oliver Johnson , Jonathan Scarlett

We introduce an exploratory study on Mutation Validation (MV), a model validation method using mutated training labels for supervised learning. MV mutates training data labels, retrains the model against the mutated data, then uses the…

机器学习 · 计算机科学 2021-10-22 Jie M. Zhang , Mark Harman , Benjamin Guedj , Earl T. Barr , John Shawe-Taylor

This paper aims at improving the classification accuracy of a Support Vector Machine (SVM) classifier with Sequential Minimal Optimization (SMO) training algorithm in order to properly classify failure and normal instances from oil and gas…

机器学习 · 计算机科学 2021-01-01 Zhiyuan Chen , Isa Dino , Nik Ahmad Akram

This work proposes a hybrid-precision neural network training framework with an eNVM based computational memory unit executing the weighted sum operation and another SRAM unit, which stores the error in weight update during back propagation…

新兴技术 · 计算机科学 2022-02-24 Sunanda Thunder , Po-Tsang Huang

Permutation testing is a non-parametric method for obtaining the max null distribution used to compute corrected $p$-values that provide strong control of false positives. In neuroimaging, however, the computational burden of running such…

In this article, we revisit the problem of fitting a mixture model under the assumption that the mixture components are symmetric and log-concave. To this end, we first study the nonparametric maximum likelihood estimation (NPMLE) of a…

统计方法学 · 统计学 2018-02-28 Xiao Pu , Ery Arias-Castro

We introduce a new approach for comparing the predictive accuracy of two nested models that bypasses the difficulties caused by the degeneracy of the asymptotic variance of forecast error loss differentials used in the construction of…

计量经济学 · 经济学 2023-10-17 Jean-Yves Pitarakis

For each $n$, let $A_n=(\sigma_{ij})$ be an $n\times n$ deterministic matrix and let $X_n=(X_{ij})$ be an $n\times n$ random matrix with i.i.d. centered entries of unit variance. We study the asymptotic behavior of the empirical spectral…

概率论 · 数学 2020-08-03 Nicholas A. Cook , Walid Hachem , Jamal Najim , David Renfrew

We propose a new class of unit root tests that exploits invariance properties in the Locally Asymptotically Brownian Functional limit experiment associated to the unit root model. The invariance structures naturally suggest tests that are…

计量经济学 · 经济学 2020-09-18 Bo Zhou , Ramon van den Akker , Bas J. M. Werker