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We study generalised additive models, with shape restrictions (e.g. monotonicity, convexity, concavity) imposed on each component of the additive prediction function. We show that this framework facilitates a nonparametric estimator of each…

统计理论 · 数学 2014-04-14 Yining Chen , Richard J. Samworth

Regression, unlike classification, has lacked a comprehensive and effective approach to deal with cost-sensitive problems by the reuse (and not a re-training) of general regression models. In this paper, a wide variety of cost-sensitive…

机器学习 · 计算机科学 2012-11-07 Jose Hernandez-Orallo

In this paper we introduce new estimators of the coefficient functions in the varying coefficient regression model. The proposed estimators are obtained by projecting the vector of the full-dimensional kernel-weighted local polynomial…

统计理论 · 数学 2012-03-05 Young K. Lee , Enno Mammen , Byeong U. Park

Nonparametric density estimation for compositional data supported on the simplex is examined under a missing at random mechanism. Rather than imputing missing values and estimating the density from a completed data set, we adopt a strategy…

统计方法学 · 统计学 2026-03-10 Hanen Daayeb , Wissem Jedidi , Salah Khardani , Guanjie Lyu , Frédéric Ouimet

We propose a cheaper version of \textit{a posteriori} error estimator from arXiv:1707.00057 for the linear second-order wave equation discretized by the Newmark scheme in time and by the finite element method in space. The new estimator…

数值分析 · 数学 2017-10-25 Olga Gorynina , Alexei Lozinski , Marco Picasso

In this paper, we focus on the variable selection techniques for a class of semiparametric spatial regression models which allow one to study the effects of explanatory variables in the presence of the spatial information. The spatial…

统计方法学 · 统计学 2021-06-03 Guannan Wang , Jue Wang

In structured additive distributional regression, the conditional distribution of the response variables given the covariate information and the vector of model parameters is modelled using a P-parametric probability density function where…

统计计算 · 统计学 2025-02-06 Gianmarco Callegher , Thomas Kneib , Johannes Söding , Paul Wiemann

In this article, it is described how to use statistical data analysis to obtain models directly from data. The focus is put on finding nonlinearities within a generalized additive model. These models are found by the means of backfitting…

斑图形成与孤子 · 物理学 2007-05-23 M. Abel

Among semiparametric regression models, partially linear additive models provide a useful tool to include additive nonparametric components as well as a parametric component, when explaining the relationship between the response and a set…

统计方法学 · 统计学 2024-02-01 Graciela Boente , Alejandra Martínez

Online nonparametric estimators are gaining popularity due to their efficient computation and competitive generalization abilities. An important example includes variants of stochastic gradient descent. These algorithms often take one…

统计理论 · 数学 2025-07-08 Tianyu Zhang , Jing Lei

We consider the nonparametric robust estimation problem for regression models in continuous time with semi-Markov noises. An adaptive model selection procedure is proposed. Under general moment conditions on the noise distribution a sharp…

统计理论 · 数学 2017-03-28 Vlad Barbu , Slim Beltaif , Serguei Pergamenchtchikov

This paper introduces a new algorithm to approximate smoothed additive functionals for partially observed stochastic differential equations. This method relies on a recent procedure which allows to compute such approximations online, i.e.…

统计方法学 · 统计学 2018-03-14 Pierre Gloaguen , Marie-Pierre Etienne , Sylvain Le Corff

In this paper, a novel stochastic extra-step quasi-Newton method is developed to solve a class of nonsmooth nonconvex composite optimization problems. We assume that the gradient of the smooth part of the objective function can only be…

最优化与控制 · 数学 2019-10-22 Minghan Yang , Andre Milzarek , Zaiwen Wen , Tong Zhang

The paper considers the problem of robust estimating a periodic function in a continuous time regression model with dependent disturbances given by a general square integrable semimartingale with unknown distribution. An example of such a…

统计理论 · 数学 2010-10-20 Victor Konev , Serguei Pergamenchtchikov

Autoregressive (AR) models remain widely used in time series analysis due to their interpretability, but convencional parameter estimation methods can be computationally expensive and prone to convergence issues. This paper proposes a…

机器学习 · 统计学 2026-03-20 Anaísa Lucena , Ana Martins , Armando J. Pinho , Sónia Gouveia

We consider the unconstrained optimization problem whose objective function is composed of a smooth and a non-smooth conponents where the smooth component is the expectation a random function. This type of problem arises in some interesting…

最优化与控制 · 数学 2011-07-01 Qihang Lin , Xi Chen , Javier Pena

We introduce a new regression framework designed to deal with large-scale, complex data that lies around a low-dimensional manifold with noises. Our approach first constructs a graph representation, referred to as the skeleton, to capture…

机器学习 · 计算机科学 2026-03-17 Zeyu Wei , Yen-Chi Chen

We extend nonparametric regression smoothing splines to a context where there is endogeneity and instrumental variables are available. Unlike popular existing estimators, the resulting estimator is one-step and relies on a unique…

计量经济学 · 经济学 2024-12-10 Jad Beyhum , Elia Lapenta , Pascal Lavergne

This paper considers the problem of estimating a periodic function in a continuous time regression model with a general square integrable semimartingale noise. A model selection adaptive procedure is proposed. Sharp non-asymptotic oracle…

统计理论 · 数学 2009-09-18 Victor Konev , Serguei Pergamenchtchikov

In this paper we develop the James - Stein improved estimation method for a nonparametric periodic function observed with the Levy noises in continuous time. An adaptive model selection procedure based on the improved weighted least square…

统计理论 · 数学 2019-09-17 Evgeny Pchelintsev , Valerii Pchelintsev , Serguei Pergamenshchikov
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