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Nonlinear distortion in power amplifiers (PA) can significantly degrade performance of orthogonal frequency division multiplexed (OFDM) communication systems. This paper presents a joint maximum-likelihood channel frequency response and…

信息论 · 计算机科学 2016-12-30 Sergey V. Zhidkov

Consider the nonparametric regression model Y=m(X)+E, where the function m is smooth but unknown, and E is independent of X. An estimator of the density of the error term E is proposed and its weak consistency is obtained. The contribution…

统计理论 · 数学 2011-12-25 Rawane Samb

Estimation of the covariance structure of spatial processes is of fundamental importance in spatial statistics. In the literature, several non-parametric and semi-parametric methods have been developed to estimate the covariance structure…

统计方法学 · 统计学 2016-11-06 Shu Yang , Zhengyuan Zhu

A key assumption in the theory of nonlinear adaptive control is that the uncertainty of the system can be expressed in the linear span of a set of known basis functions. While this assumption leads to efficient algorithms, it limits…

最优化与控制 · 数学 2022-08-26 Nicholas M. Boffi , Stephen Tu , Jean-Jacques E. Slotine

Consider the semiparametric transformation model $\Lambda_{\theta_o}(Y)=m(X)+\epsilon$, where $\theta_o$ is an unknown finite dimensional parameter, the functions $\Lambda_{\theta_o}$ and $m$ are smooth, $\epsilon$ is independent of $X$,…

统计理论 · 数学 2011-10-11 Rawane Samb , Cédric Heuchenne , Ingrid Van Keilegom

In this abstract paper, we introduce a new kernel learning method by a nonparametric density estimator. The estimator consists of a group of k-centroids clusterings. Each clustering randomly selects data points with randomly selected…

机器学习 · 计算机科学 2017-08-02 Xiao-Lei Zhang

The paper presents a multiplicative bias reduction estimator for nonparametric regression. The approach consists to apply a multiplicative bias correction to an oversmooth pilot estimator. In Burr et al. [2010], this method has been tested…

统计理论 · 数学 2011-03-02 Nicolas Hengartner , Eric Matzner-Løber , Laurent Rouvière , Thomas Burr

We propose a new estimator for nonparametric binary choice models that does not impose a parametric structure on either the systematic function of covariates or the distribution of the error term. A key advantage of our approach is its…

计量经济学 · 经济学 2026-01-13 Guo Yan

We study the problem of estimating linear response statistics under external perturbations using time series of unperturbed dynamics. Based on the fluctuation-dissipation theory, this problem is reformulated as an unsupervised learning task…

统计理论 · 数学 2020-12-09 He Zhang , John Harlim , Xiantao Li

We address the problem of learning an unknown smooth function and its derivatives from noisy pointwise evaluations under the supremum norm. While classical nonparametric regression provides a strong theoretical foundation, traditional…

机器学习 · 计算机科学 2026-03-10 Davide Maran , Marcello Restelli

We determine the expected error by smoothing the data locally. Then we optimize the shape of the kernel smoother to minimize the error. Because the optimal estimator depends on the unknown function, our scheme automatically adjusts to the…

统计方法学 · 统计学 2019-11-19 Kurt S. Riedel , A. Sidorenko

A key question in modern statistics is how to make fast and reliable inferences for complex, high-dimensional data. While there has been much interest in sparse techniques, current methods do not generalize well to data with nonlinear…

统计方法学 · 统计学 2016-11-01 Ann B. Lee , Rafael Izbicki

We characterize the practical receiver in a wide range of signal intensity for optical wireless communication, from discrete pulse regime to continuous waveform regime. We first propose a statistical non-linear model based on the…

信息论 · 计算机科学 2020-02-10 Zhimeng Jiang , Chen Gong , Zhengyuan Xu

We introduce a data-based approach to estimating key quantities which arise in the study of nonlinear control systems and random nonlinear dynamical systems. Our approach hinges on the observation that much of the existing linear theory may…

最优化与控制 · 数学 2016-04-04 Jake Bouvrie , Boumediene Hamzi

This paper generalizes recent advances on quadratic manifold (QM) dimensionality reduction by developing kernel methods-based nonlinear-augmentation dimensionality reduction. QMs, and more generally feature map-based nonlinear corrections,…

计算工程、金融与科学 · 计算机科学 2025-09-03 Alejandro N. Diaz , Jacob T. Needels , Irina K. Tezaur , Patrick J. Blonigan

In this paper, Kernel Density Estimation (KDE) as a non-parametric estimation method is used to investigate statistical properties of nuclear spectra. The deviation to regular or chaotic dynamics, is exhibited by closer distances to Poisson…

核理论 · 物理学 2011-12-13 M. A. Jafarizadeh , N. Fouladi , H. Sabri , B. Rashidian Maleki

We study a nonparametric regression model for sample data which is defined on an $N$-dimensional lattice structure and which is assumed to be strong spatial mixing: we use design adapted multidimensional Haar wavelets which form an…

统计理论 · 数学 2017-07-31 Johannes T. N. Krebs

Density estimation plays a fundamental role in many areas of statistics and machine learning. Parametric, nonparametric and semiparametric density estimation methods have been proposed in the literature. Semiparametric density models are…

统计理论 · 数学 2019-01-11 Jian Shi , Jiahui Yu , Anna Liu , Yuedong Wang

Nonparametric kernel density and local polynomial regression estimators are very popular in Statistics, Economics, and many other disciplines. They are routinely employed in applied work, either as part of the main empirical analysis or as…

统计计算 · 统计学 2020-07-21 Sebastian Calonico , Matias D. Cattaneo , Max H. Farrell

Motivated by modeling and analysis of mass-spectrometry data, a semi- and nonparametric model is proposed that consists of a linear parametric component for individual location and scale and a nonparametric regression function for the…

统计方法学 · 统计学 2013-05-08 Weiping Ma , Yang Feng , Kani Chen , Zhiliang Ying