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相关论文: Nonlinear variable selection with continuous outco…

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We propose a new method for input variable selection in nonlinear regression. The method is embedded into a kernel regression machine that can model general nonlinear functions, not being a priori limited to additive models. This is the…

机器学习 · 计算机科学 2018-09-05 Magda Gregorová , Jason Ramapuram , Alexandros Kalousis , Stéphane Marchand-Maillet

In this paper, we propose a novel and efficient two-stage variable selection approach for sparse GLARMA models, which are pervasive for modeling discrete-valued time series. Our approach consists in iteratively combining the estimation of…

统计方法学 · 统计学 2022-08-31 Marina Gomtsyan , Céline Lévy-Leduc , Sarah Ouadah , Laure Sansonnet , Thomas Blein

Variable selection for recovering sparsity in nonadditive nonparametric models has been challenging. This problem becomes even more difficult due to complications in modeling unknown interaction terms among high dimensional variables. There…

统计方法学 · 统计学 2012-06-14 Zaili Fang , Inyoung Kim , Patrick Schaumont

We study the problem of variable selection in convex nonparametric regression. Under the assumption that the true regression function is convex and sparse, we develop a screening procedure to select a subset of variables that contains the…

统计理论 · 数学 2014-11-19 Min Xu , Minhua Chen , John Lafferty

This paper presents a new variable selection approach integrated with Gaussian process (GP) regression. We consider a sparse projection of input variables and a general stationary covariance model that depends on the Euclidean distance…

机器学习 · 计算机科学 2020-08-26 Chiwoo Park , David J. Borth , Nicholas S. Wilson , Chad N. Hunter

In this paper, we propose a novel and efficient two-stage variable selection approach for sparse GLARMA models, which are pervasive for modeling discrete-valued time series. Our approach consists in iteratively combining the estimation of…

统计方法学 · 统计学 2020-07-20 M. Gomtsyan , C. Lévy-Leduc , S. Ouadah , L. Sansonnet

Nonresponse frequently arises in practice, and simply ignoring it may lead to erroneous inference. Besides, the number of collected covariates may increase as the sample size in modern statistics, so parametric imputation or propensity…

统计方法学 · 统计学 2022-09-29 Xin He , Xiaojun Mao , Zhonglei Wang

Additive nonparametric regression models provide an attractive tool for variable selection in high dimensions when the relationship between the response and predictors is complex. They offer greater flexibility compared to parametric…

机器学习 · 统计学 2016-07-12 Garret Vo , Debdeep Pati

We use Bayesian model selection paradigms, such as group least absolute shrinkage and selection operator priors, to facilitate generalized additive model selection. Our approach allows for the effects of continuous predictors to be…

统计方法学 · 统计学 2023-09-29 Virginia X. He , Matt P. Wand

In this paper, we propose a novel variable selection approach in the framework of sparse high-dimensional GLARMA models. It consists in combining the estimation of the autoregressive moving average (ARMA) coefficients of these models with…

统计理论 · 数学 2019-10-14 Céline Lévy-Leduc , Sarah Ouadah , Laure Sansonnet

In this article, we propose a new algorithm for supervised learning methods, by which one can both capture the non-linearity in data and also find the best subset model. To produce an enhanced subset of the original variables, an ideal…

应用统计 · 统计学 2017-01-23 Peyman Tavallali , Marianne Razavi , Sean Brady

We propose generalized additive partial linear models for complex data which allow one to capture nonlinear patterns of some covariates, in the presence of linear components. The proposed method improves estimation efficiency and increases…

统计理论 · 数学 2014-05-26 Li Wang , Lan Xue , Annie Qu , Hua Liang

We study generalized additive partial linear models, proposing the use of polynomial spline smoothing for estimation of nonparametric functions, and deriving quasi-likelihood based estimators for the linear parameters. We establish…

统计理论 · 数学 2011-12-13 Li Wang , Xiang Liu , Hua Liang , Raymond J. Carroll

We investigate structured sparsity methods for variable selection in regression problems where the target depends nonlinearly on the inputs. We focus on general nonlinear functions not limiting a priori the function space to additive…

机器学习 · 统计学 2018-05-17 Magda Gregorová , Alexandros Kalousis , Stéphane Marchand-Maillet

Time series of counts occurring in various applications are often overdispersed, meaning their variance is much larger than the mean. This paper proposes a novel variable selection approach for processing such data. Our approach consists in…

统计方法学 · 统计学 2023-07-04 Marina Gomtsyan

Feature selection is a critical component in predictive analytics that significantly affects the prediction accuracy and interpretability of models. Intrinsic methods for feature selection are built directly into model learning, providing a…

机器学习 · 计算机科学 2024-03-19 Theodor Stoecker , Nico Hambauer , Patrick Zschech , Mathias Kraus

In this paper, we propose a variable selection method for general nonparametric kernel-based estimation. The proposed method consists of two-stage estimation: (1) construct a consistent estimator of the target function, (2) approximate the…

机器学习 · 统计学 2018-12-05 Kota Matsui , Wataru Kumagai , Kenta Kanamori , Mitsuaki Nishikimi , Takafumi Kanamori

We propose a novel and efficient iterative two-stage variable selection approach for multivariate sparse GLARMA models, which can be used for modelling multivariate discrete-valued time series. Our approach consists in iteratively combining…

统计方法学 · 统计学 2022-09-01 M. Gomtsyan , C. Lévy-Leduc , S. Ouadah , L. Sansonnet , C. Bailly , L. Rajjou

We introduce GAMSEL (Generalized Additive Model Selection), a penalized likelihood approach for fitting sparse generalized additive models in high dimension. Our method interpolates between null, linear and additive models by allowing the…

机器学习 · 统计学 2015-06-18 Alexandra Chouldechova , Trevor Hastie

Nonparametric regression models with locally stationary covariates have received increasing interest in recent years. As a nice relief of "curse of dimensionality" induced by large dimension of covariates, additive regression model is…

统计理论 · 数学 2016-12-02 Lixia Hu , Tao Huang , Jinhong You
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